diff --git "a/data/dm_maths/full_data_1/178_11255.jsonl" "b/data/dm_maths/full_data_1/178_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/178_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: In base 16, what is -203 - 7f4b7?\nAnswer: -7f6ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 817*s**2 + 23694*s - 28. Determine z(-29).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2694 divide 67441596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 721.3 + -718. Which is the second smallest value? (a) -2\/19 (b) -6\/11 (c) g (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(99)\/(sqrt(3)*-1))\/(-5*(sqrt(3)*3 - sqrt(3)) + sqrt(3))*2.\nAnswer: -8*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*t + 4*t + 3*t)*(-12*t - 3*t - 3*t - 11*t) in the form w*t + p + f*t**2 and give f.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4 + -5*sqrt(1300)*2 + sqrt(1300) + 3 + -2 + 1)**2.\nAnswer: -1080*sqrt(13) + 105340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3626 and 9398.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aavvav. Give prob of picking 2 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 5:06 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -203 (base 4) to base 2\nAnswer: -100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2229426479 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1642199 divided by 13\nAnswer: -126323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-7)*10\/50*35.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1758)\/(-4981) - (-837)\/(-204))\/((10\/(-96))\/1).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 359099?\nAnswer: -1\/359099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, -5, 7.3554 in descending order.\nAnswer: 7.3554, -2\/19, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2958982 divided by 83?\nAnswer: 2958982\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 - 1 + (1 + 3 - 2)*(2 + 6 + 6))*(3*n + n + n) to the form o + w*n and give w.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41151, 164619, 370365, 658365, 1028595, 1481031, 2015649?\nAnswer: 2632425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -995*p**2 + 25585*p + 323400.\nAnswer: -5*(p - 35)*(199*p + 1848)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-258*t + 1089910 - 2*t**3 - 1089910)*(11*t + 5*t**2 - 11*t).\nAnswer: -10*t**5 - 1290*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 28, 229, 542, 973, 1528, 2213, 3034?\n\"Answer: x**3 + 50*x**2 + 44*x - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n**3 + 5*n**2 - 7*n. Let p(r) = -6*r**3 + 6*r**2 - 8*r. Let f be ((-25)\/10 - -2)*8. Give f*p(w) + 5*y(w).\nAnswer: -w**3 + w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3352985 is divided by 14644?\nAnswer: 14153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-26)\/(-6)*91\/14. Let x = -28 + s. What is the second biggest value in x, 0.3, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 770154 and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -1, 232, 10.\nAnswer: -5, -1, 4, 10, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twhsshestyh. What is prob of sequence tye?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 20. Let n be h(4). Suppose -220 = -n*g + 164. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1920\/(-5120) - (0 + 69\/8) - 36.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j**5\/2 + 3393*j**4\/2 + 8559*j**3\/2 - 4293*j**2\/2 = 0. Calculate j.\nAnswer: -159, -3, 0, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4293 divided by 9.\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of (-54083)\/(-6) - 1730\/2076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4461977 millilitres to litres.\nAnswer: 0.0004461977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1306? (a) -1\/10 (b) -2\/7 (c) -0.2 (d) -12 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n + 1. Let u be w(-1). Suppose -u*k + 8 + 37 = 0. Suppose a + 2*t + 2 = 0, -5*a - 5*t = -0*t - k. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2150*m - 2174*m + 24 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6238.122km in micrometers?\nAnswer: 6238122000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -17. Find the second derivative of -37*c**n - 13*c + 29*c**2 + 23*c**2 wrt c.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 19. Let o be (52\/39)\/((-2)\/b). Let r(u) = 33*u**2 - u + 3. Is r(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7 - u**3 - 4*u**2 - u + 3*u**2 - 4*u**2. Let j be w(-5). Let x be j\/(1\/(6\/(-4))). Calculate the highest common factor of x and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10885\/12 - -907. Which is the closest to -2? (a) -5 (b) f (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 28\/(-4) - 2*-1. Which is the nearest to -2\/7? (a) -0.5 (b) -2\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2865 or 2864?\nAnswer: 2865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*n + 1940 = 0, -48 = 4*p - 4*n - 1988. Calculate the remainder when p is divided by 41.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (3 + (-9 + 10 - -4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8036770?\nAnswer: 2, 5, 7, 29, 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -230 and -51.803.\nAnswer: 11914.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 30161 = -2*k - 3705, -2*k = -h - 26426. List the prime factors of k.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**2 - 522378*a + 2611840 = 0. Calculate a.\nAnswer: 5, 261184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.01256 - 0.01256. What is the nearest to -0.1 in 76, -1, u, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.83818nm in kilometers?\nAnswer: 0.00000000006283818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4 + 1. Let w(f) = f**3 + 9*f**2 + f + 5. Let x be w(-9). Let m = x + 2. Which is greater: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 11:45 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 0.25 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3688536924, 3688536923, 3688536922, 3688536921, 3688536920?\n\"Answer: -p + 3688536925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 62102*c + 1055437. Determine s(-17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/(2542\/574)*(-73)\/(-7)\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19219442, 38438882, 57658322, 76877762, 96097202, 115316642?\nAnswer: 134536082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j + 33243 - 16617 - 16616.\nAnswer: -12*j + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -16 - ((14 - 25) + 2 + -1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**2\/4 - 4031*a\/4 - 12039\/2 = 0. What is a?\nAnswer: -4013\/3, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2603, -5187, -7741, -10259, -12735, -15163?\nAnswer: -17537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*b + 164*b**3 + 14 + b - 44*b + 22 wrt b?\nAnswer: 984*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 864336 and -0.9.\nAnswer: -777902.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.57863174 to 1 decimal place.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.025 - 280970\nAnswer: -280969.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + z = -4*j - 32, -3*z + 14 = -j - 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 2162.17.\nAnswer: 216.217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 8 = 3*i. Is 37 a factor of ((999\/(-12))\/(-9))\/((-1)\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 38.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 598916.\nAnswer: 2, 149729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -10*o - 19. Let z(k) = -24*k + 8*k - 13 + 9*k. Determine -5*s(p) + 7*z(p).\nAnswer: p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 4)*(-941*z - 1531*z**3 - 937*z + 1878*z).\nAnswer: -3062*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25005082 is divided by 415?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 9, -x - 5*q + 14 = -3. Let m(r) be the first derivative of 1\/15*r**3 - 1\/5*r - 6 + 0*r**x. Factor m(n).\nAnswer: (n - 1)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-1 - 25\/(-7))\/(16\/56) and 105.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 0, 4, -3110371 in descending order.\nAnswer: 4, 0, -14, -3110371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 4*q + 156, 3*a + 4*q - 68 = 14. Suppose 31*m - 121 - a = 0. Solve m*t - 7 = -2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1758, -3458, -5158?\nAnswer: -6858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -104 + 314\/3. Let z = 498 - 43328\/87. Is a at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 + 33. Let c be 9\/(-6)*d\/(-6). Let v be c - -3 - (1 + -4). Solve 9 = -v*z - 11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - 0.1. Let m(t) = -t**2 - 17*t - 55. Let l be m(-13). Let o = 2.95 - -0.05. Which is the second smallest value? (a) o (b) n (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 - 14*k + 3. Let d be j(7). Let c be (2\/3)\/(8\/156). Solve -10 = -f + 3*q, -2*f + d + c = -4*q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 plus 1919?\nAnswer: 1918.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329*q - 402*q - 1536*q.\nAnswer: -1609*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -566*z**4 - 130*z**4 - 3064 - 87*z**4 + 61*z**4 wrt z.\nAnswer: -2888*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2520?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.14*12406\nAnswer: -1736.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*a + 84*a + 4*a.\nAnswer: 118*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.314133 micrograms to tonnes.\nAnswer: 0.000000000007314133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -127, -215, -303?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v - j - 11, 5*v + j = 10. Let n = -7 - -2. Let a = v - n. Solve -3*r = a + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4502 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 12. Let j = 17 + k. Let y be (-3)\/j*(2 - 10). Solve -5*t - 3*z + 16 = -21, -2*z - 12 = -y*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1181326*a**4 - 18817*a?\nAnswer: -14175912*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -35. Let c be (-4)\/(-3)*(-45)\/r. Find the common denominator of -77\/4 and 492\/32*(-8)\/c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**5\/60 - 5*u**4\/24 - 41*u**3\/6 - u**2 + 27*u. Differentiate w(a) with respect to a.\nAnswer: -2*a - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1)*-1 + 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1012*f**2 + 1061*f**2 + 1012*f**2 - 4125*f**2 + 1019*f**2.\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.33, 0.02, -2\/258721 in ascending order.\nAnswer: -2\/258721, 0.02, 0.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 249 in 0, 4, -86, 1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6075 and 56589111.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 4*v + 368 = 296, 5*f = 20*v + 3*v + 381 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*d - 5*d**3 - 2*d**3 - 27*d - 28*d.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.1828 to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32451*l + 2044 = -32479*l for l.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -68 (b) -598 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5411, 11663, 17915?\nAnswer: 24167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1092)\/(-105) + -10)*10\/(-7). Let q = -164 - -2134\/13. Which is the second biggest value? (a) q (b) 2 (c) 3 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9057.\nAnswer: 3, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1628332 is divided by 198?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 - 151*o - o**3 + 3*o**3 - 30*o.\nAnswer: 2*o**3 - o**2 - 181*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.07 - 5.07. Put b, -1\/7, -4, -7 in ascending order.\nAnswer: -7, b, -4, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 50.300530241 from -0.2.\nAnswer: -50.500530241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 7*s + 9. Suppose 4*o - u = -31, -44 = 5*o - 0*o - 3*u. Let x(w) = -4*w + 1. What is the lowest common multiple of a(o) and x(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*n**2 - 1\/3 + 1\/2*n.\nAnswer: -(n - 2)*(n - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 - 2)*(4*r - 3*r - 2*r)*((1 - 3 + 0)*(0 + 4 - 3) + (3 + 1 + 0)*(-17 + 5 + 84))*(r**2 + 2*r**2 - r**2).\nAnswer: 2288*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17\/570, -436, -2, -0.2?\nAnswer: -17\/570","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10173 rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**5\/20 - q**4\/12 + 2*q**2. Let t be 3\/(-15) - 1\/(-5). Suppose t = -0*f - 4*f - 2*z, -6 = -5*f - 4*z. Determine y(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 8\/5 (c) 25\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/12*(-1114)\/(-2785).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 22*g**3 + g**2 - 1. Let f be c(-1). Let l = -6 - f. What is the derivative of -42 - 7*n**3 + l + 20 wrt n?\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -462 in -1\/6, -66, 22, 2\/3?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/(-16)*6\/10. Suppose 5 = m, -5*r + 6 = 3*m - 4. Let h be r\/(8\/(-10) + 1). Which is the third biggest value? (a) h (b) u (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 122978205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*i*v*x**2 + 4148*i*v + 40*x**2 wrt x.\nAnswer: 24*i*v*x + 80*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -630 + 632. Put 4, 140, d in descending order.\nAnswer: 140, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 8*m - 12*m - 60 = 0, 5*d = -5*m + 60. Suppose 36 = d*a - 240. Let g = 58 - -10. Calculate the remainder when g is divided by a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 = 10*t + 66 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 3*u - u + (-4*u + 6*u - 3*u)*(-4 + 5 + 7))*(1 + 4 + 4).\nAnswer: -45*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 12:10 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 10*h + 4. Let d be a(-1). Let o(l) be the third derivative of -l**5\/60 - 7*l**4\/24 + 5*l**3\/6 + l**2. What is the units digit of o(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1014\/(-195)*1085\/403*-1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4894750 and 3426325?\nAnswer: 34263250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 1, -28, -10, 15 in descending order.\nAnswer: 16, 15, 1, -10, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2686 and 237.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*p - 40*p + 2 - 105*p - 100*p in the form u + s*p and give s.\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 833905907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -12, 2, -0.01?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56304\/707 or -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 77*q - 616. Let v be d(8). Solve v = 515*k - 511*k - u + 7, -5*u = -3*k + 16 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 5.76.\nAnswer: 5.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 10. Let k be f(6). Let j be 10\/k*3\/(-15). Let t = 0.2 + -0.1. What is the nearest to j in t, 3, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n - 3 + 4 + 2. Let u(z) = z**3 - 2*z**2 + 4*z - 3. Let v be u(2). What is the lowest common multiple of 11 and q(v)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 - 42. Suppose 5*z = 5*m + 25, -3*z + 10 = -s*m - 5. Solve 2*l + 3*d = 18, 0*l + 2*d - z = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108428255 a multiple of 495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -7*w. Let l(d) be the second derivative of 0*d**3 - 7 - d + 17\/12*d**4 + 0*d**2. Determine l(u(b)).\nAnswer: 833*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*d*r**5 - 11*d*r**3 + 13*d*r**2 - 9*d*r - 5*d + 3*r**5 - r**2 wrt r.\nAnswer: -480*d*r**2 - 66*d + 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*w + 11. Suppose -3*h + 455 = -4*p, h - 2*p = -w*h + 451. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 37 + q + 3*q**2 - 1\/3*q**3. Determine c(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 13*y - 18922 = -18936, -5*y = r + 7 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -269.6 or 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3*2*-1*sqrt(175)*2 - (sqrt(175)*3 + 3 - sqrt(175) - (sqrt(175) - (sqrt(175)*-2 + sqrt(175)))*2))**2.\nAnswer: -1680*sqrt(7) + 137236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + v = 3*v - 59, -v = -3*g + 163. Calculate the highest common factor of g and 440.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**3\/13 - 450*t**2\/13 - 25086*t\/13 + 25538\/13 = 0.\nAnswer: -113, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12546 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 36316, 144127, 323442, 574267, 896608?\n\"Answer: g**3 + 35746*g**2 + 566*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007921234038 rounded to five decimal places?\nAnswer: 0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**5 + 5*g + 2*g**5 + 3*g**5 - g**5 - 4*g**5 + 7*g**5 + (-3*g**3 + 4*g**3 + 0*g**3)*(-2*g**2 + 6*g**2 - 2*g**2) - g**5 - 2*g**2 + 2*g**2.\nAnswer: 4*g**5 + 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n**5\/4 - 15*n**4\/4 + 31*n**3\/4 + 255*n**2\/4 - 125*n - 375 = 0. Calculate n.\nAnswer: -3, -2, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**3 + 41*p**2 - 16*p - 15. What are the prime factors of z(6)?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*u - 3*u. Let l be (-9114)\/11 + 2 - 1. Let c = -827 - l. Which is smaller: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2132 - -2237. What is the highest common divisor of h and 3045?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -956*o**7\/21 - 194*o**3\/3 - o**2 + 9*o + 71. Find the second derivative of i(h) wrt h.\nAnswer: -38240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (114\/(57456\/72))\/(15\/(-70)*(-12)\/171).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3\/11 + 52*n**2\/11 + 210*n\/11 - 1800\/11 = 0. What is n?\nAnswer: -15, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12\/121, 286, 0.0279?\nAnswer: 12\/121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*k + 38*k + 110*k)*(-4 + 3 - 1)*(1 + 2 - 1) to x + w*k and give w.\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -6. Let x = m + 0.28. What is x rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -2064.8, 15\/2?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**2 - 4*n - 1. Let v(h) = -5*h**2 - 7*h - 2. Suppose 4*t = -5*s + 24, 5*t - 22 - 8 = -s. What is t*v(f) - 11*d(f)?\nAnswer: 3*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 + -48. Suppose 0 = -4*w + 9*w - d. Differentiate -11 + 41 - 5*m**4 + 0*m**4 + w*m**4 with respect to m.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3498*-0.1\nAnswer: 349.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 0, 3*u = y - 2*u - 2. What is the hundreds digit of ((-4)\/(-6))\/(y\/567)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 840 divided by 120.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 0 (b) -5 (c) -3 (d) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3576*f = 4*a - 3579*f + 1, 0 = 3*a + 2*f - 12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38497 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 1. Is 308\/12 + s\/(-3) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 4, 8, 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.00268492*0.14\nAnswer: -0.0003758888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (0 - (-1)\/1) + (-59)\/(-6) and 85\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-84)\/(-9)*6\/4. Suppose 0 = -r + 5*y - v, 4*y = r + 3 + 8. Suppose -1 = 4*z - 13. What is the lowest common multiple of r and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -28*n + 16*n + n**3 - 7 - 25*n + 25*n**2 - 30. What is the tens digit of d(-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14, -1447, 22?\nAnswer: -1447","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 475.05 - 475. Let g = 49 + -50. What is the biggest value in 3\/5, -5, v, g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Let q(l) = -11371*l + 2603962. Calculate q(229).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 12) to base 16.\nAnswer: 1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5 - -2) + (-42)\/(-24))\/1?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -143, -16, -5, 3 in ascending order.\nAnswer: -143, -16, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33634 * 273.\nAnswer: 9182082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -11*g**2 - 530*g - 119. Determine y(-48).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 3*n**2 - n + 2. Let j be o(1). Let k be 1\/2*(1 - j). Which is the second smallest value? (a) k (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -361505, -723009, -1084513?\nAnswer: -1446017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/2376 and 67\/4752.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 4:06 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13923 = 13*v + 4*v. What are the prime factors of v?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1644490, 3289005, 4933560, 6578173, 8222862, 9867645, 11512540, 13157565?\nAnswer: 14802738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 0 (c) 3 (d) -0.2 (e) 0.75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-10) - (-19)\/(-95). Let s = -0.1 - -2.1. Which is the second biggest value? (a) j (b) s (c) 2\/7 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 3*a**2 - a + 2. Let m be 9\/(-45) + 1\/5. Suppose -11*d + m = -33. Give t(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 3 = -2*u, -3*u = -q + 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) 5 (c) -0.0488 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 2. Suppose 4*v - 5*w = 22, v - 4 = w + 1. Suppose k + v = 0, 0 = c + k - 1. What is q(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 66*b**2 - 80*b - 229. Determine w(-4).\nAnswer: 1147","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, c: 1, p: 2, j: 4, f: 5}. Give prob of sequence ppej.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 98567.6mm?\nAnswer: 9856.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.033 - -0.139. Let y = -0.464 - j. Let z = 0.55 + y. Which is bigger: 2 or z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1.3 (b) -0.04 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 358177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 73172 and 13304?\nAnswer: 146344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140652604 divided by 1.\nAnswer: 140652604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 0.2, -0.01, 0.13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, -0.3, -17\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v - 28. Let d be g(-12). Suppose d*o - 645 = 15*o. Suppose 0*f + f = -5*j + 656, 0 = -j + 2*f + o. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 7) to base 11.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118945*q + 19 - 6 - 592*q - 10.\nAnswer: 118353*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/20 - 49\/60. Let l = -10\/1537 + -1487\/7685. Let m = 26 - 21. Which is the second biggest value? (a) 0 (b) m (c) l (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171276 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 227*y - 9968. Let g be u(-125). What is the greatest common factor of g and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(95)\/(sqrt(5)*-1))**2 + ((sqrt(76) - sqrt(19))*-5 - (sqrt(76) + -1 - sqrt(19))).\nAnswer: -6*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3\/5 - 1706*o**2\/5 - 67572*o\/5 - 128304\/5 = 0. Calculate o.\nAnswer: -36, -2, 891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4 = 4*p, 5*w - 3*p - 3 = -0*w. Suppose -o + 26 - 15 = w. Calculate the remainder when 48 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2596 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) -2 (c) -27 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 8*d**2 - 64*d + 1. Let x be n(8). Let a(q) = 0*q**2 - 3*q - q**2 + 2*q + 4*q + 2*q**2 - x. Determine a(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -690*y + 38*y**2 + 690*y + (-y**2 - 2*y**2 + 4*y**2)*(-2 + 3 - 2).\nAnswer: 37*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of 0*c**3 + 0 + 0*c - 1\/5*c**5 + 18*c**2 + 0*c**4. Let x(n) be the second derivative of -n**4\/12 + n. Give l(x(m)).\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13901.27 + -13993. Let u = -100.15 + 4.15. Let h = u - t. What is h rounded to one decimal place?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1259215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 4:17 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.02 (b) -37 (c) -31 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5275809 to two decimal places.\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-6 - 2 - (-3 - 0)) - -8\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55.0708113 - 0.0676913. Let d = -55 + x. What is d rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 235 + -164. Let h = y - 49. Let c = 13 + h. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-144)*(-23 - (-5947)\/266)\/(6\/7)\nAnswer: -1\/192","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29106 + 0*r**2 - r**2 + 29136.\nAnswer: -r**2 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 29*d + 31. Let q be l(30). Let g(t) = t**2 + t - 3. Let m(j) = -16*j**2 - 2*j + 58. Let v(w) = q*m(w) - 2*g(w). Differentiate v(x) wrt x.\nAnswer: -36*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*b**2 + 13*b**2 - 2327 + 40*b + 2299.\nAnswer: (b + 14)*(3*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2) + (15 - 13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 76?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a + 27 + 29 - 56.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16649 is divided by 55.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -13*m**3 - 5*m**2 - 5. Let c(b) = -24*b**3 - 11*b**2 - 8. Give 3*c(a) - 5*k(a).\nAnswer: -7*a**3 - 8*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(4\/199)*3. Suppose -s = -4*i + 143. Is (i\/(-2))\/(6\/(-12)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*p + 18. Suppose -2*c - 341 = -f, 946 + 707 = 5*f + p*c. What are the prime factors of f?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t + 34*t - 11*t - 50*t**2 - 18*t to u*t**2 + b*t + m and give u.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b - 44. Let t(h) = -h - 11. Give 4*k(l) - 18*t(l).\nAnswer: -2*l + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 2\/7 (c) 14\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 428723.5 nanograms in kilograms?\nAnswer: 0.0000004287235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 102*h*t**4 - h - 345 wrt t.\nAnswer: 408*h*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.7257428 kilograms?\nAnswer: 725.7428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 5*f - 2. Let a(y) = -9 - 4*y + y + 8. Let o be a(f). Solve 0 = -o*j + 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 37\/7 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 10, 5, -808 in increasing order.\nAnswer: -808, -23, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216202100.\nAnswer: 2, 5, 37, 71, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/27 - 183\/27. Let c(y) be the first derivative of -y**4\/4 - 4*y**3\/3 + 7*y**2\/2 - 3*y + 15. Is c(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*k**2 - 40*k**2 - 38*k**2 - 23*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-26)\/130 - (-22)\/10. Let q be -2 - (-4 - (-2 + r)). Suppose 0*b - q*b + 98 = 0. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 8 - -1 - 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32160 = 2958*s - 41790 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m - 11*m + 40 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -133 + 128. Which is the nearest to 3? (a) 0 (b) r (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 0.5, -0.1, -1, -0.0245?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/2 + 0)*(-308)\/385?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/99 and -68\/335027?\nAnswer: 3015243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 4, -1703809 in decreasing order.\nAnswer: 4, 3, 2, -1703809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/3 (b) -1 (c) -178 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*a + 9. Suppose -a*o + 15 = 2*o. Suppose -7*z + o*z + 32 = 4*u, -u - 4*z = -17. Which is smaller: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)\/p*p)\/(p\/(p\/(p**(7\/2)*p)*p))*(p*p**(-3\/2)\/p)\/(p**9*p) assuming p is positive.\nAnswer: p**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 67536 and 630.\nAnswer: 337680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 9*g**6\/40 + g**5\/30 - g**4\/12 - g**3\/6 - 22*g**2. Let c be q(2). Suppose -6*m + c = -345. What are the prime factors of m?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*c**3*v**2 + 39884*c**3 - 518*c**2*v**2 + c**2*v + 65*c**2 - 4*c*v**2 + c wrt c?\nAnswer: 60*v**2 + 239304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**2 + 81 + v**2 - 84. Let n(s) = s - 1. What is h(y) - 3*n(y)?\nAnswer: -2*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 + 1 + -1 - 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00636513 times 0.6?\nAnswer: -0.003819078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 3 (b) 112 (c) 12\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, -8, -108, -234, -392, -588, -828, -1118?\nAnswer: -1464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n**2 + 134110*n - 44704 = 0. Calculate n.\nAnswer: -22352, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 653*j - 206*j - 234*j - 217*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*2*sqrt(228))\/sqrt(4))\/(sqrt(96)\/sqrt(2) + sqrt(3)*1*3))**2.\nAnswer: 2736\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46022 divided by 6.\nAnswer: 23011\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/(-30) - (-1004)\/(-10). Let m = -100 - h. Sort 0, -4, m.\nAnswer: -4, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**3 + 4*y**2 - 12*y - 4. Let r be s(5). Let o = -268 - r. Calculate the highest common factor of o and 781.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013743692 to five dps.\nAnswer: -0.00137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -4 - (8 + -9)) + -10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21 - 4 - 7)*(-3 + 0 + 5)*(3 - t - 3) to k + x*t and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 + 22*v - 22*v)*(-v - 1 + 1).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2679, -2617, -2519, -2385, -2215, -2009, -1767?\nAnswer: -1489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.01984.\nAnswer: -0.01984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-6))\/(4\/(-6)). Let l be ((b - -1) + 0)*-1. Solve -3*d = 4*x + 2*d + 45, 5*x - 3*d + 10 = l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -100033\/2 or -50018?\nAnswer: -100033\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a**(3\/10))*a)\/a*a*a\/a**1)**17)**(-13) assuming a is positive.\nAnswer: a**(-1547\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 3*p - 1. Let d(w) = w**2 + 4*w - 2. Give 4*d(o) - 5*i(o).\nAnswer: -o**2 + o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 11*g**3 + 5*g**2 + 208*g + 397. Determine u(-2).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 4*h**2 - 2*h - 4. Let t be s(-4). Suppose -2*x = 10*j - 5*j - 28885, j - t*x - 5799 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p. Let i(j) = 3*j - 6. Let o(s) = 3*s - 5. Let q(z) = -5*i(z) + 6*o(z). Determine v(q(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-11 - (-8 + 4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/7814565 and -92\/1815.\nAnswer: 85960215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -57*x + 4. Let m(z) = -113*z + 8. Calculate 13*l(o) - 6*m(o).\nAnswer: -63*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135 and 2520.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 3*b - 49. Let k be l(15). Which is bigger: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -3, 2089\/5, -23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*s = 196*s. Is s <= 3\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 17568728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (17 - 61) - -20.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/657 and -31\/104828?\nAnswer: 943452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 96*i**2 + 3*i - 1. Let o(d) = 96*d**2 + 3*d - 1. Let p(a) = 6*o(a) - 5*q(a). Find the second derivative of p(x) wrt x.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -276 - 284 - 23*j**2 + 841 - 279 to the form m*j + f + z*j**2 and give z.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, u: 5, s: 6, p: 2, r: 1, l: 2}. What is prob of sequence ur?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((75\/20)\/(-3))\/(((-2850)\/(-1008))\/(-19)). Factor -t*y**2 - 12\/5 + 18\/5*y**3 + 38\/5*y - 2\/5*y**4.\nAnswer: -2*(y - 6)*(y - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 15*r**3 + 227*r**2 + 907*r + 708. What is o(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 - -206. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 5*i**2 + 6*i + 6. Suppose 0 = -5*t - 25, 3*t = -4*u - 2*t - 45. Let x be r(u). List the prime factors of x\/42 - 176\/(-14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2624646*d**6 + 2*d**3 - 1719839*d**2?\nAnswer: 314957520*d**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3414 - 307 + 1329 - 86)*(0*z + 4*z - 2*z) to the form i*z + v and give i.\nAnswer: 8700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1150181 + -52?\nAnswer: -1150243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - k + 1)*(-3 - 1 + 6) - 25 + 13 + 5*k + 13 in the form x*k + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13 + -190?\nAnswer: -1a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 46419.68ml in litres?\nAnswer: 46.41968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 745*j - 37355. Determine v(50).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 554378 or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439866?\nAnswer: 2, 3, 7, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -460*g**5*t - 22735*g**4*t**2 + g**2*t**2 - 2*g**2 - 415*g*t**2 + 352*g*t + 2*t**2 wrt g?\nAnswer: -27600*g**2*t - 545640*g*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371*v - 267*v = 367952. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 26718744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzabzrourzzzozzozuz. What is prob of sequence ou?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5431397 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 698015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 16 = -5*w, 3*w = m + 5 + 11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 7:38 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fuc when three letters picked without replacement from uffckkgfgkffgkufc.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (30\/8)\/3*4. Find the common denominator of (12\/s)\/((-2)\/25) and 51\/(-14) - (-6)\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -262 or 0.2?\nAnswer: -262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9456.01 and -3.\nAnswer: -28368.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -311*n**2 + 3757*n - 3757*n - 1567 - 382*n**2 + 1567.\nAnswer: -693*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.01 (b) -1636 (c) -0.037\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -78\/43 (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccooocccoccoo. What is prob of sequence ococ?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-6*(sqrt(243) + -3*(-1 + sqrt(243))**2)*-6.\nAnswer: -158112 + 13608*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0*g)**31\/((g*g**(2\/7)*g)\/(g\/(g\/(g**(2\/11)\/g)))))\/((g*g\/(g\/g**(-1\/3)))**(2\/21))**(-17\/3) assuming g is positive.\nAnswer: g**(8392\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t - 26*t + 135604 + 42640.\nAnswer: -35*t + 178244","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 4*t**2 - 4*t**2)*(-5*t + t + 2*t) - t**3 + 3*t**3 + 0*t**3 - 8945*t**2 + 10*t**3 + 8945*t**2 - 64.\nAnswer: 14*t**3 - 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5*o + 15, 2*o + 0*o + 12 = -5*i. Let n be 1 + (-5 - -2) - i. Suppose n*w = -w + 20. Calculate the remainder when 39 is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 414*a*l**3 + 2*a*l**2 + 2*l**3 + 701*l**2 wrt l?\nAnswer: 2484*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*b**2 - 3*b + 3*b - 2356 + 4717 - 2362 as q*b + h*b**2 + f and give h.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r + 7. Suppose 8 = -0*w + w. Let t be y(w). Is 6\/(3\/t*-3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246986 is divided by 3288.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 0 + 2*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -969, -1843, -2689, -3507, -4297, -5059, -5793?\n\"Answer: 14*q**2 - 916*q - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*n + 1. Let b be 35\/5 + -4 + -2. What is the tens digit of 256\/n*b\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12\/6943775 or -1?\nAnswer: 12\/6943775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -4. Suppose 11 - q = -5*u. Let j be 122\/u*(-1)\/1. What is j rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + (sqrt(1872) - (sqrt(1872) + -1)))*-2*1 + 1 + sqrt(156)\/(1*sqrt(12)) + 3.\nAnswer: -23*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2798495?\nAnswer: 5, 7, 37, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 9*z**3 - 7*z**2 - 4*z - 3. Let i be r(-2). Let s = 124 + i. What is the highest common factor of s and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.4 (b) -1 (c) 8 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/6)\/(x**(-3\/16)\/x))**(-2) assuming x is positive.\nAnswer: x**(-49\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 903 - 881. Suppose -j*l + 101 = -31. Solve -47*n = -49*n - l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8433 - -8455. Let h(f) = -2*f - 4. Let q(v) = -v**3 + 3*v**2 + 2*v + 2. Let p be q(4). What is the remainder when w is divided by h(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -877 - -1347. List the prime factors of i\/4 - (28\/(-7))\/(-8).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12387380*x**4 - 5722922340*x**3 + 660981168585*x**2 + 2519685630*x + 2401245 = 0.\nAnswer: -3\/1574, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4)*v*(v\/(v**(-5\/7)\/v)*v)\/v assuming v is positive.\nAnswer: v**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8302 + 8325. Solve r*d - 18 = 28 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*q + 55. Let h be 56\/(10 - 18) + 2 + 3 - -4. Does 8 divide 51\/h*(-6)\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2341 (base 5) to base 4\nAnswer: 11122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*s**3 + 6499*s**2*x - 2*s*x**2 - 29*x**2 + 27489 wrt s?\nAnswer: -42*s**2 + 12998*s*x - 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -374 - -163537?\nAnswer: 163183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -287 + 2757. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 8:27 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 493 - 21. List the prime factors of h.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 457, -4, 99, -101 in increasing order.\nAnswer: -101, -4, 99, 457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 28688 divided by 1304\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -3 - (5 + -6) - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -210*k + 2734. Let b be t(13). Let f(d) = d + 1. Let c(m) be the first derivative of -1\/4*m**4 + 4*m - m**3 + 2 + 2*m**2. Determine b*f(v) - c(v).\nAnswer: v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90 + -90.21. Let w = -4 + 3.91. Let i = w + s. Which is the closest to 1? (a) -2\/13 (b) -0.2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6940 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3520 is divided by 439?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, y: 8, i: 1, u: 2}. Give prob of picking 2 p, 1 u, and 1 y.\nAnswer: 16\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 345.\nAnswer: -3105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 2*c**3 - 4*c**2 + 0*c**2)*(2*c + 2 - 2)*(-c - 76*c - 67*c).\nAnswer: 576*c**5 + 576*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6084 = 493920. Suppose 27825 = 3*y + f - 272179, r = 5*y + f. What is y rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2308 + 4151. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*k**3 + 43*k - 43*k)*(0 + 3 - 4).\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 84, 207, 372, 579, 828?\n\"Answer: 21*j**2 + 60*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 4. Let i(t) = 6*t - 27. Let q(m) = 27*h(m) - 4*i(m). Let f be (12\/(-9))\/((-1)\/6). List the prime factors of q(f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -20. Suppose 7*z = 8*z + 2*s - 80, -125 = -c*z + 3*s. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*a - 2*y + 15, 5*a - 5 = -y. Let l(x) = -2*x**2 - x - 3. Let f be l(0). Put a, -2, f in increasing order.\nAnswer: f, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 820 and 19980?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 7199897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 7*p**2 + p - 10. Let m(f) = -8*f + 1. What is the remainder when x(6) is divided by m(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 l when four letters picked without replacement from fmffmmffmmlmmf.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 118?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 45375363*o. Let w(g) = 2*g. What is m(w(k))?\nAnswer: 90750726*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 1822*a - 6. Let i be g(1). Suppose 5*b - 36 = -4*t, 2*t + 2 = 3*b - 2. Suppose -b*v = -i - 348. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 + 0*l**3 - 2*l**3)*(-7*l + l + 3*l) + 4*l**3 - l**4 - 4*l**3 + (-5*l**2 + 3*l**2 + 4*l**2 + (-4*l - l + 3*l)*(-4 + 2*l + 4))*(20 - 20 - 11*l**2).\nAnswer: 27*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 20. Determine d(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5)\/(-2)*(-296)\/(-370) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16448?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -61*w - 12. Let c(k) = 15*k + 3. What is -9*c(p) - 2*r(p)?\nAnswer: -13*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8141200998 to the nearest integer?\nAnswer: 90229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1408*o - 1444*o + 2896*o - 176. Let w(y) = 2*y**2 - 7*y - 9. Let z(r) = 2*r**2 - 6*r - 8. Let l(b) = -3*w(b) + 4*z(b). What is l(o)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v**3 - 985 + 0*v**2 + 979 + 2*v**2. Let x(t) = -14*t**3 + 6*t**2 - 17. What is -11*b(d) + 4*x(d)?\nAnswer: -d**3 + 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 141*s**3 - 4*s**2 + 3*s. Let w be m(1). Suppose 40 = -20*t + w. Solve t*k - 4*d - 19 = -7*d, 4*d = 2*k + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**3 - d**2. Let c be s(-1). Let w(n) be the second derivative of 2*n + 0 + 7\/2*n**2 + 7\/6*n**3 + 1\/12*n**c. Calculate w(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -0.3406?\nAnswer: -0.03406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261 = -21*w + 3288. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14779736 divided by -4.\nAnswer: -3694934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000010523 rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(((-4)\/(-2))\/(-4)). Suppose 4*a = -k*o + 40, 6*o - 8 = 4*o. Calculate the remainder when 41 + -18 - (8 + 1) is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90098377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 14*g = 13*g - 19, 5*g + 5 = -3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 4)*(33*z + 31*z - 68*z) + (4 - 1 - 5)*(0*z + 0*z - 2*z) + 5*z - 2*z - z + z + z - z.\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a - 3*a - 8*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1094 divided by -3.\nAnswer: 1094\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -143087 - -29166. Let n = -113921.68953 - b. Let h = 0.69 + n. What is h rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 68.2498 nanograms?\nAnswer: 0.0000000000682498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 281 divide 254211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(308)\/sqrt(7)*-1)\/(-4*sqrt(196)).\nAnswer: sqrt(11)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 44677729 - -1251\nAnswer: 44678980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -0.2, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**3\/6 - 2*a. Determine k(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 7:35 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.0005, 15, -2\/159?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404 = 2*f + 2*a, 3*f + 27*a = 30*a + 594. What is the lowest common multiple of f and 40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -13*m**4 + 2303*m**3 - 19388*m**2 - 48092*m = 0.\nAnswer: -2, 0, 11, 2186\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*h - 67*h = -90*h - 4862 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4498 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57572 is divided by 41?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 13*g**2 - 9*g - 13. Let l(j) = 7*j**2 - 5*j - 7. Suppose -2*s = -4*s + 12. Let z = -17 + s. What is z*l(b) + 6*k(b)?\nAnswer: b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4384775*n*v - 28*n - 4393*v - 9414 wrt n?\nAnswer: -4384775*v - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/19040 and -103\/1496.\nAnswer: 209440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/((((k**(-1\/6)\/k*k*k)\/k)\/k)\/k*k)*k*k*k)\/k)**(1\/10)*(k\/k**(-2\/77)*k)\/k*k**(-17)*k*k)**(1\/37) assuming k is positive.\nAnswer: k**(-62173\/170940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 115293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 21*m**2 + 23*m - 2. Give o(-22).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27591*q**3 + 30369?\nAnswer: 82773*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.015? (a) -1 (b) 0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*b - b. Let n = 2 - b. Let k = n + 11. Calculate the remainder when 7 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**4\/12 + 5*b**3\/6 - 3*b**2\/2 + 95*b - 2. Give c(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -170.9 + 171. What is the nearest to b in -0.08, 2\/7, 3\/7, 4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17175128.1 rounded to the nearest 10000?\nAnswer: -17180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 975534 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5\/2, -223.\nAnswer: -223, -4, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 119760 or 598794\/5?\nAnswer: 119760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 + 1110101100111100010?\nAnswer: 1110101100111110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 44 + -103 - (6 + -25)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*n**4*o*s + n**4 - 43314*n**3*o*s + 2*n**2*o + n**2*s - 13973*o*s + 2 wrt n.\nAnswer: 144*n*o*s + 24*n - 259884*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/20 - -2)*1550\/217.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 8:06 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**3 + p**2. Let l be m(1). Suppose 3*v - 2*v = 5*a - 303, -177 = -l*a - v. Suppose -5*g = -5*d + a, 0 - 2 = g. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -5*k + 278, 2*k + 0*g = -g + 112. Does 29 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, 2, 14\/9?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a - 7029 = 12*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/20)\/(b*b**(-2\/137)\/b))\/((b**(8\/7)*b)\/(b**(7\/3)\/b)) assuming b is positive.\nAnswer: b**(-54371\/57540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 235999 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence om when two letters picked without replacement from moiiwigwomwmmi?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 90*o - 213. Let l(g) = -24*g + 54. Let y(p) = -10*i(p) - 39*l(p). What is y(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 10*f**2 - 2*f - 307. Let k(l) = -2*l**3 - 15*l**2 - 3*l - 306. What is 4*k(p) - 6*r(p)?\nAnswer: -2*p**3 + 618","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**5 - 3*n**4 - n**3*x - 18*n**3 - n**2 - 14286*n + 2*x wrt n?\nAnswer: 60*n**2 - 72*n - 6*x - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6414 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34008981?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 9:43 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-118)\/(-12))\/(3 + (-153)\/54)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 345063876?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000010905793 to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + r - 11. Let k(q) = 57*q**2 + 13*q - 62. Let a(m) = 6*j(m) - k(m). Let u(x) = 21*x**2 + 2*x + 1. Give 2*a(o) + 7*u(o).\nAnswer: 21*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1.3. What is the second smallest value in v, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1115750423 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-six fifths of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 b when four letters picked without replacement from kkbbkbkffbffbbbkffq.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -197434996 by -4.\nAnswer: 49358749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -83 + -3?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 296641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 8, 0 = -d - x - 3*x + 13. Let n be (-3 + (-53 - d))\/(-1). Suppose b + 8 = n. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -9 - (0 - (-2 - -1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of z**3\/6 + z**2. Let q(n) = -n - 8. Let o(g) = -3*d(g) + q(g). Determine o(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -5*n - 79. Let v(l) = l**2 + 1. What is k(q) - v(q)?\nAnswer: -q**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/8 and 8\/(-80) - 122\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + 3*x - 2. Let u be j(-7). What is the common denominator of 65\/16 and 1 - 0 - u\/(-10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2170 + 9914 = 32*o. What is the greatest common divisor of o and 9801?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -361*p**7\/210 - 3173*p**6\/120 + 1437*p**5\/10 - 427*p**4\/6 + 44*p**3\/3 - p**2 + 3*p - 436. Find y such that u(y) = 0.\nAnswer: -11, 2\/19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1085 divided by 7.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 5 - 2*r**2 - 7 + 4 - 1 - r**2 + 1 + (4*r + 0*r - 5*r)*(-6*r + 16*r + 3*r).\nAnswer: -16*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -17*o + 16. Let w be x(1). Are w and 8\/25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/(b*b**(-7\/5))*b\/(b*(b*b**(-2\/7))\/b*b*b) assuming b is positive.\nAnswer: b**(24\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -0 + 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00353 rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11720 divided by -4?\nAnswer: -2930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 326831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -4*a**2 - 5*a + 1\/4*a**4 + 2*a**3 - 16. What is c(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from ookkk?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/902972 and 47\/56?\nAnswer: 1805944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 544109611 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60035755 is divided by 328064?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - (34 - 47))*2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lx when two letters picked without replacement from llxxlxxxxxxxxx?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/22 - ((-1600)\/11220 + 8\/(-204)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6768776 is divided by 1274?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6588*k**4 - 1750*k**4 - 1954*k**2 - 1951*k**4 wrt k.\nAnswer: 69288*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-4))\/((-2)\/8). Let j(y) = 2*y**2 + 4*y + 2. Let t(d) = 28*d - 248. Calculate the lowest common multiple of j(b) and t(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a microgram in nanograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than 4897671929294?\nAnswer: 4897671929291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3)*f*f**(-1))\/((f**17\/f)\/(f**(-1\/3)*f)) assuming f is positive.\nAnswer: f**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13340 (base 8) in base 6?\nAnswer: 43040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -24. Let y be 60\/(-135)*(-3)\/n. Let y + 2\/3*r**2 - 4\/3*r = 0. What is r?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*t + 85 = p, -p = -4*t + 365. Let n(h) = h**2 - 12*h + 6. Let s be n(12). Suppose g + t = s*g. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (6 + -32 - -52) + -11.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1785342 by 282.\nAnswer: 6331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 2, 0.3, -0.03?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -32767016 (base 8) to base 5\nAnswer: -3302321134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**3 - 3*y**2 + y + 1. Give l(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*w + 10*w - 153 - 1335 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 158305 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91 - -174. List the prime factors of g.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 - 302*r + 662*r - 360*r.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 - 8*q - 7. Let a be g(5). Suppose -i + 120 = 3*j, 8*i - j - 600 = a*i. What is the highest common divisor of 24 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3468)\/(-4590) + (-12)\/10. Suppose 0 = b - 6*b. Are b and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**4*q**2 - 141*b**3*q**2 + 6*b*q - 24*q**2 wrt b.\nAnswer: 24*b**2*q**2 - 846*b*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*o + 4*o + o)*(-1 + 1 + 5*o) + 4*o - 4*o - 4*o**2 as v*o**2 + s*o + w and give v.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 11*t = 11*t. Sort -2, -4, t, 7 in descending order.\nAnswer: 7, t, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 430 + 78. Let z = 742 - o. What are the prime factors of z?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*x - 3*x - 92800. Calculate the greatest common divisor of x and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509845223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112 + -782\/7. Is b not equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -147.085033.\nAnswer: -148.085033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6, 10, 26, 60, 118, 206, 330, 496?\n\"Answer: d**3 - 3*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 7*x + 6. Let w be r(-6). Let u be (1\/(-4))\/((-7)\/56). Suppose 2*c - l = w, -4*c + 5*c = -u*l + 10. Solve f = 2*f - c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(-7 + 0 + 18 + (-2 + 4 - 3)*(3 - 4 - 1) + 1 + 2 + 0)*(b**5 - b**5 - b**5).\nAnswer: 16*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -490?\nAnswer: -489.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -8 + 8 - x**2. Let b(z) = -5 - 2 + 1 + 1 - z. Let d be b(-10). Let k(v) = 2*v**3 - 5*v**2 - 1. What is d*o(y) - k(y)?\nAnswer: -2*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 11:42 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -225 divided by 7.\nAnswer: -225\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*x + 732 = -115*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**5\/60 - s**4\/4 - s**3\/2 + 3*s**2. Let y be t(9). Let x = y - 16. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooqonmoonoomnqqmmbm. Give prob of sequence nq.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**(-12\/7)\/(h*h**(-1))**(2\/35)*(h**0\/(h*h\/((h*h**(-1\/4)\/h)\/h)))\/(h**(-1))**(19\/4) assuming h is positive.\nAnswer: h**(45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*x - 21 - 13, 0 = -2*x - 2*o + 26. Suppose 5 = 4*n - x. Solve -3*j + n = -4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -11. Let d = 231.3 - 231. Let o be (2\/(-18))\/((-5)\/(-6)). Sort t, d, o.\nAnswer: t, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kckbcbkkbkc. What is prob of sequence kkkb?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/i**(-1\/11)*i*i**(-39)*(i**(-20))**45 assuming i is positive.\nAnswer: i**(-10295\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 20911.\nAnswer: 20911.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3666094?\nAnswer: 2, 43, 47, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + -440023?\nAnswer: -440041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 145*r - 151*r + 262 - 22. Is 13 a factor of q(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 - 2*o**2 + 7*o - 8. Let d be h(5). Let s = -111 + d. Let i be 1\/(2\/56) - -1. What is the greatest common factor of i and s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kd when two letters picked without replacement from rndkkziir.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7126.972 - -49955138\nAnswer: 49948011.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(76) - 1*sqrt(76))**2 + sqrt(684)*-5 + sqrt(19) + 3 + ((1 + sqrt(304))*-1)**2).\nAnswer: -924 + 63*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**2 + 3*n**3 + 3*n**2 - 4*n - 5. Let s(l) = -4*l**3 + 5*l + 6. Suppose 4*w = -10*x + 56, -4 = -4*x - 28*w + 31*w. Give x*s(k) + 5*t(k).\nAnswer: -k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69 + 109. Let s = b - 15. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/12*(26201\/399 - 107)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7356126?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -57138287 and -0.077077.\nAnswer: -57138287.077077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f. Suppose -l = -3*l. Let g(c) = 2 - 2 - 2*c + l*c. What is b(g(w))?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 - 27050*u**2 + 1313195*u + 1340250.\nAnswer: 5*(u - 5361)*(u - 50)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 19*r**2 + r + 35. Suppose -7*c - 70 = -3*c + 2*s, 41 = -2*c + s. Let w be t(c). What is the units digit of (1272\/w)\/((-6)\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 6889302.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1633?\nAnswer: 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in -1, -4, -3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 1, -0.5, 0.06, -45, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 12:35 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9329 or 9332?\nAnswer: 9332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 136, -1\/8, -4, -40, 3 in descending order.\nAnswer: 136, 3, -1\/8, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-102 + 134 - (-82 - 7)) + -24?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (0 + 92 - ((-20)\/(-1) + 3488\/(-218))).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 206.\nAnswer: 41.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 749 a factor of 9531021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366 - 502 = -2*f. Solve 8*h - 28 = -f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5976?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/85 + 157\/1105. What is the biggest value in 2\/9, -6, q, -27?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.059 and 0.206.\nAnswer: 0.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/((-16)\/24 + 16\/42). Suppose -2*z + s*z - 10 = 0, -4*y + 2 = z. Factor 6\/5*x**3 + 2\/5*x - 2\/5*x**4 + y - 6\/5*x**2.\nAnswer: -2*x*(x - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 n when three letters picked without replacement from fcffafacfnfsffff.\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302*u = 345*u - 86. Solve -3*z + 2 = 2*d, u*d - 8 = z + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -4*t**4\/3 + 4*t**3 + 26*t**2. Differentiate j(u) with respect to u.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - 2*w - 4*w)*(2 - 1 - 6) + (-1 - 6 + 4)*(-4*w + 4*w - 2*w).\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 317269*n**3*v**3 - 32*n**3*v + 1105*n**2 - 3*n*v**2 wrt v?\nAnswer: 1903614*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 0*o - 24 = 0. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(-y**3 - y**2 + y**2) - 10*y**3 - 7*y**3 - 4*y**3.\nAnswer: -22*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 380676.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 76\/(-76) + (3221 - 1). Suppose 31*z - 2051 = g. List the prime factors of z.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*b - 9837, 201*d + 4*b - 49191 = 196*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51381267 - 13018733 = -2*r. What is r rounded to the nearest 1000000?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/5)\/((-40)\/(-300)). Let o(n) = -2*n**3 + 12*n**2 + 3*n + 23. Let p(t) = -t**3 + 5*t**2 + t + 11. Let w(i) = -6*o(i) + 13*p(i). Calculate w(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s + 2*s**2)*(s**2 - 1 + s - s).\nAnswer: 2*s**4 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 10) to base 8.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 14*k**2 - 2*k - 30. Give g(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5267 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1103*r + 1104*r - c - 9 = 0, 4*r - 5*c - 39 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -5\/3, 7, -2.1, -48, 5\/4?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -34\/7 (b) -169 (c) 0 (d) -1 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 38\/7, -4, 6 in increasing order.\nAnswer: -4, 38\/7, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, z: 2, f: 1, b: 10}. Give prob of picking 3 c and 1 f.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -7*r - 19. Let y be l(-3). Suppose 0*j + 1028 = 2*j + h, y*j - 4*h = 1018. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8770969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*2 + (sqrt(2299) - (2 + sqrt(2299)))**2)*5.\nAnswer: 20 + 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f + 6. Let m(n) = 1. Suppose -6 = -2*h + h. Let u = -19 + 16. Let x(t) = h*m(t) + u*v(t). Differentiate x(a) wrt a.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261 + 519 - 122*g**3 - 116*g**3 + 237*g**3 - 258.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/126 and -77\/531.\nAnswer: 7434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l - 2523*l**2 - 2506*l**2 + 2*l**3 + 5027*l**2 + 1 to the form d*l**2 + b + t*l**3 + w*l and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 262705, 262702, 262699?\nAnswer: 262696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1027*-0.7\nAnswer: -718.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/7*l - 120\/7 + 3\/7*l**2.\nAnswer: 3*(l - 5)*(l + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -13.5.\nAnswer: -4.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**4\/3 - 27*g. Let i(v) = 72*v - 2. Calculate i(l(f)).\nAnswer: 288*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from setxtesxtaee. What is prob of sequence sx?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 10:45 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -7*g**3\/6 - 7*g. Let j(n) = 4*n + 8 + n - 8. Give j(x(a)).\nAnswer: -35*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(250)*-2)\/(-5*(4*sqrt(32) - sqrt(32))))**2*3 + 2.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 0.13 (b) 0 (c) 5 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2323103 (base 4) to base 11.\nAnswer: -9008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**4\/9 + 5752*g**3\/9 + 2044672*g**2\/9 - 5562280*g\/3 + 1626268 = 0.\nAnswer: -723, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 + 3*b + 3. Let k(f) = 2*f - 3 + 5 + 0*f + f**2. Determine 5*k(m) - 3*o(m).\nAnswer: -m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v + 246. Let h(m) = m**2 - 3*m + 3. Determine 2*h(z) + t(z).\nAnswer: 2*z**2 + 252","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 75687162 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -3*f + 9, 425*w = 430*w + 2*f - 25 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - v + 6 = 0, u - 2*v = -4 - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 282058, 282069, 282082, 282097, 282114, 282133?\n\"Answer: n**2 + 8*n + 282049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 - 3*n. Let g(q) = 102*q**2 + 144*q. Let m(v) = 48*c(v) + g(v). Let x(f) = 67*f. Give x(m(z)).\nAnswer: 402*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h - 39. Let u(l) = -19*l + 6. Let t(q) = -16*q + 5. Let g(k) = -6*t(k) + 5*u(k). What is b(g(f))?\nAnswer: 3*f - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 c when three letters picked without replacement from {l: 1, d: 1, t: 4, c: 1, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -12168330 divided by 30?\nAnswer: -405611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16562?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**6\/n)\/n*n**(1\/23)*n)**(-1\/54) assuming n is positive.\nAnswer: n**(-58\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 20*l**2 - 32*l + 103. Let z be w(4). What is the highest common divisor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) 2\/7 (c) -0.313 (d) 0.1 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 501 + -411. What is the lowest common multiple of v and 50?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -177.89 - -162.008. What is i rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 11) to base 4.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64.3 + 65.3. Which is bigger: g or -977?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.105 + 2\nAnswer: 1.895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*y + 198. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 388.9 * -4\nAnswer: -1555.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*q - 88\/3*q**2 - 6*q**4 - 28*q**3 + 0 + 1\/3*q**5.\nAnswer: q**2*(q - 22)*(q + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - x - 731 = -u, 4*u + 2933 = -x. Let v = 2103 + u. Is 35 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-48))\/((-14)\/(-6)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -31 + 32 - (-2 + 9)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -134 - -3?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**4 - 10*t**3 + 2*t**2 + 22*t. Let a(n) = 3*n**4 + 9*n**3 - 3*n**2 - 24*n. Let f(x) = -4*a(x) - 5*d(x). Let f(l) = 0. Calculate l.\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-210)\/21 + 15. Put -5, 0, -8, 3, c in increasing order.\nAnswer: -8, -5, 0, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by 109?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -7*i + 4*i. Let m be -2 + (-206)\/120*7\/(-6). Which is smaller: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -243 + 244 + (-1 + 0 - -7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/12495 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2910*h - 88 = -2918*h for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**2\/3 - 132*c - 402 = 0?\nAnswer: -3, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + (40 - (51 - -6)) + (5 - 2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -6*m**3 + 5*m**2 + 7*m + 4. Let w be o(-6). Suppose 90*q - 75*q = 210. Calculate the remainder when 26\/91 + w\/q is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144195122 is divided by 5375?\nAnswer: 5372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -o + 23*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -361, -2967, -10037, -23803, -46497?\n\"Answer: -372*p**3 - 2*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 10*a**2 + 7*a + 8. Suppose -8*i + i = 420. Let d be ((-4)\/3)\/(188\/i - -3). List the prime factors of u(d).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 5:28 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 40483190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 9*p**2 + 11*p + 14. Let g be u(-7). Suppose -55 - 15 = -g*d. Solve -12*c + d = -11*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + u**3 - u**3)*((4 + 0 - 2)*(-3*u + 2*u + 2*u) + 0*u - u + 3*u + 2*u + 4*u - 5*u).\nAnswer: -5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30481\/7815 + -1\/3126. What is the common denominator of -14\/5 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/4 (b) -55 (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/20 (b) 4393 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 957673869?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 8 = 4*n, -2*n = 2*n + i - 8. Suppose 2*w - 4*u + u = 25, 0 = -n*w - 5*u - 10. Sort 4, -3, w in decreasing order.\nAnswer: w, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 10*k + 3. Give h(3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/35200 and 77\/400?\nAnswer: 35200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-4*(78\/273 + 6\/28).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - ((-32)\/112 - (-19)\/(-7)). Is 15 a factor of 113 - (a\/(-1))\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18674 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146828.\nAnswer: 2, 11, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 2*h**2 + h. Let k be m(1). Suppose -5*u + k*u + 9 = 3*n, 3*u + n - 7 = 0. Calculate the remainder when 6 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -5*b**8\/336 - 2*b**7\/15 + 23*b**6\/30 - 8*b**5\/15 + 3*b**2 - 29. Suppose i(n) = 0. Calculate n.\nAnswer: -8, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*9\/(-54)*18\/(-15). Which is the closest to -2? (a) -4 (b) 18 (c) -4\/5 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2\/131, 2, -15, 0.8.\nAnswer: -15, -8, -2\/131, 0.8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3981952 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 8*z**3 - 896*z**2 + 12*z - 2979. What is y(112)?\nAnswer: -1635","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c + 11*c + 10*c**3 + 43 - 10.\nAnswer: 10*c**3 - c + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3775678393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-16)*j**7)\/((j*j*j*j**16*j*j*j*j)\/((j*j*j*((j\/(j**(-12)\/j))\/j*j)\/j)\/j)) assuming j is positive.\nAnswer: j**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3 + 2*(-2 + sqrt(320))))**2.\nAnswer: -3584*sqrt(5) + 21264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -770202*m = -770158*m + 2464 for m.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13573036 divided by 1081\nAnswer: 12556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 1884*m**3 - 2 - 3*m + 2*m**2 + 2*m - 3 - 1883*m**3 as g + o*m**2 + i*m + r*m**3 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*a + 76*a + 288 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -139.321, -72, 0.2, -1 in ascending order.\nAnswer: -139.321, -72, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0. Let a = 7.5 + -1.5. Let w = a + -5.5. What is the second biggest value in n, 0.2, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 12048?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 0.5, -5, -3\/7, 18\/191, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/10)\/((68\/850)\/(1\/(-5))). Is 75\/148 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b - 4*b + 0*b + (4 + 2 + 17)*(2*b - 2*b + b)*(0 + 0 - 1) as c + o*b and give o.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*y**2 + 3*y**3 + 4 - 3*y**4 - y**3 - 3*y**2 - 2*y**2 in the form q*y**4 + j*y**3 + p + f*y**2 + x*y and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, 27, -5 in descending order.\nAnswer: 48, 27, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-9) - (-2)\/(-9). Suppose g + s*g - 2*v - 7 = 0, -v = -4. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 - 4*b**2 + 5*b**2 + 0 + 3. Determine r(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9007 - -9009. Solve -u*c - 2*o + 2 = -0*o, -5*c + 4*o - 40 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*g**4 + 97*g**3 + 12*g**2 + 689615*g wrt g?\nAnswer: 528*g**2 + 582*g + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from bimmmboonrb.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 13, i: 3}. What is prob of picking 1 o and 2 i?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 + (1 - 4 - (-104)\/18) and -89\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/64 and -97\/86.\nAnswer: 2752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -393.9352 + 394. Let n = -3.9352 - k. Which is the third biggest value? (a) -5 (b) 3\/10 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-3 - -7 - 17).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 8:56 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6816191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18782 - 18786. Sort 2\/7, l, -4\/5, -230\/9.\nAnswer: -230\/9, l, -4\/5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1210112000110 (base 3) to base 4.\nAnswer: -3221021322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3641 divide 876661775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 11*b + 67. Does 30 divide r(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1983560 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2228 divided by 4.\nAnswer: -557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.056 times 0.9?\nAnswer: -0.0504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (-25)\/((-150)\/(-17448)). What is b rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33857366 is divided by 4034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5853, 2, -3, -2, 1, -18 in descending order.\nAnswer: 2, 1, -2, -3, -18, -5853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 505254 and 1284?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2576?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 986322*n - 3*f = 986304*n + 45, 2*n - 4*f - 16 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1621313 - 1621313 + 42*x**3.\nAnswer: 42*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 23 = 2*x. Suppose 0*d - d + 766 = x*n, -760 = -4*n + 2*d. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364 is divided by 246?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/8 (b) -3 (c) -62.66 (d) -5 (e) -0.14 (f) -7 (g) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(96))\/(sqrt(432)*-2) - (sqrt(12)\/sqrt(6)*-5 - (sqrt(2) - (-5*sqrt(12)\/sqrt(6) - sqrt(2)))))**2.\nAnswer: 2738\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -64, -62?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -104.704 - -106. Let o = f - 0.016. Round o to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38*r + 33*r - 37*r)*(-2*r - r + 0*r) as b*r**2 + c*r + p and give b.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -45766828 divided by -11441707?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzzlqulo. What is prob of sequence on?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -516, -1853, -4086, -7215, -11240?\n\"Answer: -448*i**2 + 7*i - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) 0.5 (c) -2 (d) -2.73731 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -255? (a) 3\/34 (b) 0.4 (c) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 100*6\/(-72)*-9. Suppose 5*v = 10*v - y. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -3962\/9*m**3 - 3038\/3*m**2 - 85 - 673\/12*m**4 - 2744\/3*m - 1\/18*m**6 - 44\/15*m**5. Factor g(u).\nAnswer: -(u + 1)**2*(u + 14)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 188*d**2 + 60*d - 243*d - 192*d**2 to the form q*d + r*d**2 + u and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*b - 3. Let d be b - 0 - (-9)\/(-4). Let y = 12.74 - 9.74. What is the nearest to d in 0, -3\/5, y?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4797511.\nAnswer: 4797511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 4. Suppose 2*u - 20 = 4*u. Let y = u + 5. What is p(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 166*v - 73 + 33.\nAnswer: -166*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/1 + 16\/4. Suppose h*k + 3 = 53. Suppose -5*n = -140 - k. Calculate the greatest common divisor of n and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (7 + -3)) + 2 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 14*w**2 + 68*w**2 - 26 - 66*w + 83*w. Is j(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 23*s**3 - 17*s**2 + 17*s - 23. Let m(j) be the first derivative of -3\/2*j**2 - 2 - j**4 + j**3 + 4*j. Let r = 15 + 19. What is r*m(b) + 6*a(b)?\nAnswer: 2*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/279?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/20761797 and -4\/77.\nAnswer: 228379767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5205 divided by -50\nAnswer: 1041\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53298 - -96299. Suppose 34396 = -0*p + 4*p - 4*m, 0 = -5*p - m + i. What is p rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t + 13*t - 2*t**3 - 5*t - 5*t**3.\nAnswer: -7*t**3 + 12*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*p**2 + 67*p**2 - 9*p**3 + 7 - 36*p**2 - 13*p**2 - 2*p in the form d*p**3 + i + w*p + v*p**2 and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w**8*w))*w*w)\/w)\/w**4)\/(w**(-5)*w*w*(w**(1\/13)*w)\/w*w*w*w*w) assuming w is positive.\nAnswer: w**(64\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*2*(-2 - -3). Let p(b) = 5 + 0 - b**3 + 42*b + 3*b**2 + b**x - 43*b. Let n(w) = -w + 15. Let t be n(11). Give p(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/q**2)**(1\/2)*(q*q**0)\/(q**2\/q)*(q*q**(-2)*q)**(-30)*q*q**8\/q*q*(q\/(q*(q**(-3)*q)\/q))\/q*q*q*q assuming q is positive.\nAnswer: q**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 2 - (22 + (7 - 13)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 64 + 71 + 2*v**2 - 132. Let b(w) = -3*w**2 - 2. Give -3*b(h) - 2*r(h).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 16*d - 14. Suppose -d*h - 4*c = -1180, 2*c - 5*c + 1985 = 5*h. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - -1 - (3 + (-34 - -23))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2234 + 60326\/27. Let o = u + -2\/27. Which is the third biggest value? (a) -45 (b) -4\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 948130.\nAnswer: 2, 5, 59, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwgt when four letters picked without replacement from ttttwgtttwtwggttmwtw.\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -243648*w**2 - 12*w + 4017848 wrt w?\nAnswer: -487296*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3108 is divided by 1549.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.496 + 1.142. Let v = -0.816 + 0.74. Let u = l + v. What is u rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -2 (b) -33 (c) 0.8 (d) -0.012 (e) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5 = 4*b, 2*k = -4*b + 46. What is the remainder when 39 is divided by k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2014241341 (base 5) to base 10.\nAnswer: -4055846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(5\/6)\/(u**3*u)*u*u\/u**(-5)*u*u**(2\/17) assuming u is positive.\nAnswer: u**(505\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1407)\/(-35)*(3 - -2). Let s = 23 + b. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 3*i + 0*i)*(5*i - 5*i - 5*i**2) - 2*i**3 + 2*i**3 + 3*i**3 + 2 - i**3 - 2.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5 + 5 = 0. Let g be ((-5)\/2)\/(y\/(-10)). Is 13\/5*(g - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208\/((-650)\/25)*81\/(-8)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 7:33 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130482 = 2816*h + 103246 for h.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 3*y - 5 = 0, -5*y + 0 - 2 = -2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -38, -74, -112, -152, -194, -238, -284?\n\"Answer: -m**2 - 33*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -109 + 50 + 40*x + 59 to w*x + t and give w.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + sqrt(448) + 2 + sqrt(448) + -4 + sqrt(448) + -4*(sqrt(448) + 2))**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 254 - 508 + 253. Let u(j) = -11*j + 14. Let n(z) = 5*z - 7. Let d(g) = -13*n(g) - 6*u(g). Determine -d(r) - 6*m(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 - -100?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 155, -2\/35, -18\/5?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -10726*p + 611343. Calculate r(57).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 1617*x**2 + 26*x - 32. What is the hundreds digit of i(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1019*t - 2020*t + 1085*t.\nAnswer: 84*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/2*(672\/(-896) - (-351)\/(-60))?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 3*q**2 + 4. Let z be g(3). Suppose -h - h + z = 0. Is 766\/6 + h\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from yhhlhhyy.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvkk when four letters picked without replacement from rrkrkvmakvvavikav?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, -296, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 142. Suppose -2*k + n = 2*c + k, -4*k = c - 72. Calculate the highest common factor of 16 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 78753348493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 264.14711 to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 579497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11889852 divided by 2?\nAnswer: -5944926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2158 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + -1 + sqrt(343) + 1) + (-3 + (3*-1*sqrt(7))**2*6)*-1.\nAnswer: -345 + 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 5*k + 15, v + 0 + 3 = 4*k. Let s = -4 - -3.9. Which is the nearest to 0.1? (a) s (b) 0.5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -2334?\nAnswer: -2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 0 - 3*b + 4*b**2 - 41\/3*b**3. Let p be h(-2). Calculate the greatest common divisor of p and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one sixteenth of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*t + 336649 = 337849 for t.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (67\/(-2) - 1)*(-636)\/954. Let v(z) be the second derivative of 23*z**3\/6 + 18*z**2 - 2*z. Is v(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/1 - (4 + 0). Let z = -5 - -8. Which is the nearest to 0.1? (a) 2 (b) z (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 - -60. Suppose -4*m = 2*v - 14, -41 = -4*m + 4*v - z. Let d be m + (4 + -13)\/(-3). Solve 3*o + 18 = -2*w + d*o, 3*w = -5*o + 23 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -364*q - 2276. Calculate t(-6).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u. Let l(a) = -12*a**2 - 18*a**2 + 15*a**2 - 13*a**2. Give l(x(d)).\nAnswer: -448*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*k + 18, -4*k - 45 = -5*h - 7*k. Let t = h + -7. Suppose 2*j + t = 90. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 119 + 238 + 77 = -14*m for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34 in 0.2, -10, 0.1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*21\/18 + -5.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3625 rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -0.2, 0.2, -11614, -2 in descending order.\nAnswer: 0.2, -0.2, -2, -7, -11614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.94 + -0.06. Let p = -1973\/2540 - -17\/635. Which is the third biggest value? (a) d (b) 1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(28)\/sqrt(4) + -2.\nAnswer: -2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(72) + 0 - ((sqrt(72) - (-1 + sqrt(72))) + -3))**2*1 + 3.\nAnswer: 24*sqrt(2) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 18 = 18. Let x be (-3)\/d + 57\/9. Calculate the highest common factor of 4 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6804 and 6772?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 17915 + 17856 = 3*k, -5*k + 107 = 4*h for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 0 - f + 0*f - 6. Let w be j(-6). Suppose -p + w = -7. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjjjhhjhjhhhj. What is prob of picking 2 h?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 + 111)\/(2\/3). Suppose 7*z - 4*z + w = 4*j, -2*j = 5*z - 52. Is 18 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6657643?\nAnswer: 2089, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 525.0664 litres?\nAnswer: 525066.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -27*b**2. Let z(r) = 9*r - 32. Let q(x) = 19*x - 72. Let s(h) = -4*q(h) + 9*z(h). What is s(p(a))?\nAnswer: -135*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10695 and 289230?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 6. Let d(m) = -m**3 - 5*m**2 + 5*m + 5. Let b be d(-6). Let n = b + c. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**5\/8 + 5*s**4\/8 - 23*s**3\/8 - 61*s**2\/8 + 11*s\/4 + 7 = 0?\nAnswer: -7, -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n + n**3 - 3*n**2 + 3*n**2 in the form c*n**3 + k*n + h*n**2 + y and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-119 - -116 - (9 + -3)) + 10 - 24?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 8*c - 123 = 0. Let z = 62 + c. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 10285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 0. Let n(q) = -2*q**2 - 3*q. Let b be n(j). Let k = -1.4 + 0.4. Put 2, k, b in increasing order.\nAnswer: b, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - (sqrt(78) + (sqrt(78) - 3*sqrt(78)*-5)))\/(sqrt(150)*5) + 5.\nAnswer: -16*sqrt(13)\/25 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 - 31. What is the closest to -0.3 in 0.1, j, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 12*n + 9. Let g be o(15). Let x be (249\/g - 1) + 2\/(-9). Put x, -2, -3, -6 in decreasing order.\nAnswer: x, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54348 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -271, -532, -793, -1054, -1315?\n\"Answer: -261*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 200362, 0.4, -2\/9?\nAnswer: 200362","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -5*l + 95. Let r(f) = 5*f**2 - f**3 + 15*f - 3*f**2 - 17 + 5*f**2 + 4*f**2. Is r(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1064 is divided by 531?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1341931 is divided by 572.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7}. What is prob of sequence eee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2289*p**3 + 6*p**2 + 6*p - 1. Let d be f(-6). Suppose d = -w - 5397. What is w rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -776 - 595 - 323 + 14*y - 10*y - 1450*y**2 + 1371*y**2 wrt y.\nAnswer: -158*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 121 - 100. Is m*(-20)\/210 - 3167\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - t = 2*t + 44, -5*t - 43 = -4*f. Suppose -4*g + 8*g - 8 = 0. Suppose -g*n = 10, -2*y + y - 3*n - 14 = 0. Solve 4*w = -y - f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3397 (base 10) to base 6\nAnswer: 23421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5144, -10431, -15718, -21005, -26292, -31579?\n\"Answer: -5287*p + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/(-21))\/(2324\/(-48804))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -2 (c) -67 (d) 3 (e) 5 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.285295 grams to tonnes.\nAnswer: 0.000000285295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45995882*u**4 - 1035818*u**2 + 13 wrt u?\nAnswer: 1103901168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 366, 1183, 2756, 5337, 9178?\nAnswer: 14531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/45*(-170)\/(-68)*8\/42.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 1066.7.\nAnswer: 1063.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**3 + 5 - 3*k - 5 in the form p*k**2 + u*k**3 + s + m*k and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 474 = -327. Solve x + s = -4*n, 0*x - n = -x + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-4)\/(24\/(-9083)). Let h = s + 1523. Calculate the common denominator of h and -61\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 34. Let y = -10 - -6. Let l be (((-33)\/(-12))\/11)\/((-1)\/y). Solve 5*v - u = -l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5210 or -7114?\nAnswer: 5210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 8:43 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 11:18 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p - 8 = 82 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -89ec2e (base 16) to base 3\nAnswer: -122000020000212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*c - 4*v, -3*v = v - 8. Suppose -6*j + 7*j + 14995 = -2*b, -3*j = -c*b - 37515. Round b to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1926)\/(-856)*2\/(-6)*-8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*b + 86*b = 10. Suppose -3*t + 5*f - 5 = -337, b*f + 218 = 2*t. What is the highest common divisor of t and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46295*q**2 - 4610 + 4610.\nAnswer: 46295*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 20*l - 4. Let d be y(-21). Suppose f - 5*n + d = 0, -5*n + 14 + 27 = 2*f. Solve 46*q - 50*q - f = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245764 - 144598 + 769539 + 572123 = -13590*a for a.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 5*c + c)*(2*c**3 + 5*c**3 - 5*c**3)*(-2 - 2 + 3).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 142130 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -301*b. Let d(l) = -l**2 - 7401. Determine d(s(n)).\nAnswer: -90601*n**2 - 7401","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 8:18 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15298 and 4?\nAnswer: 30596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4071 - 1336. Suppose -4*u + x = u. List the prime factors of u.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110\/763 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*a**3*h + 3*a**2*h + 32*a**2*z**2 - h*z - 62*h + 6*z**2 wrt a?\nAnswer: 9*a**2*h + 6*a*h + 64*a*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/19 - 350*x\/19 + 2352\/19.\nAnswer: 2*(x - 168)*(x - 7)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -296 - -5919\/20. Let c(k) = k**2 + 8*k + 15. Let w be c(-6). Let a be 0*(w\/(-6) - 0). Is p at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19113317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 978 + 738. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2064 + 2064. Is -1\/983 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -1\/21*u**4 + 0*u**3 + 2*u**2 - 1\/210*u**5 + 1 + 0*u. Let c(x) be the second derivative of g(x). Factor c(a).\nAnswer: -2*a*(a + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 7*p - 5. Let k = 1 + -5. Calculate the lowest common multiple of 4 and m(k).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 601.7076 millilitres to litres.\nAnswer: 0.6017076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 a when three letters picked without replacement from avavaaaasaasvtatsav?\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**2 - 55*i + 14. Let n be c(20). Suppose n*z + 11 = 115*z. What is the remainder when 72 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -395 - -398. Let l = 3 - -13. Solve -4*c + c = -n*h + 9, -l = -3*c - 2*h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.56013 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19 and 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 3*h - 0*h. Suppose -2*l = -4*l + 4. Let u be h\/(-7) - l\/7. Which is the biggest value? (a) u (b) 0.5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 5:59 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjeeqqjqe. Give prob of sequence qqq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r. Let b(c) = 411*c + 14020. Let i be b(-34). Let m(o) be the third derivative of o + 2\/15*o**5 + i*o**2 + 0*o**4 + 0*o**3 + 0. Calculate m(x(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2872754861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = m - 201 + 181, m + 56 = 3*n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 80\/12 + -8 - (-42)\/35. Which is the biggest value? (a) 1 (b) l (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 617234532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**5\/11 - 1450*q**4\/11 - 260606*q**3\/11 + 808090*q**2\/11 + 2392208*q\/11 + 1324960\/11 = 0.\nAnswer: -364, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4.4, 0.236, 1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 5*k - 1020. What are the prime factors of k?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24\/(-270))\/((-8)\/20). Factor y + 2\/9*g**2 + 4\/9*g.\nAnswer: 2*(g + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-4 - 2 - -2 - (11 + -22)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*s - 7*t - 13, 31 = -5*s + 2*t. Let v(h) = h**2 + 6*h + 6. Let b be v(s). Is 9\/5 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12200 - 10212?\nAnswer: -100112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2. Let m(x) = -12*x - 27. Let s(f) = f + 2. Let t(b) = 4*m(b) + 54*s(b). Calculate g(t(h)).\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -34, 264 in descending order.\nAnswer: 264, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 68*x**2 + 2*x + 31. Is v(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3*k)**(4\/21)\/(k\/k**2)**(-42))**(2\/23) assuming k is positive.\nAnswer: k**(-1732\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/6*(12\/8 - -3). Solve -2 = -k, -2*l + 5*k - 30 = w*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 96089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112423 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 355176580 a multiple of 748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 21*x**2 - 257*x + 573. Give l(10).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/((-35)\/(-4)) - 27863\/(-48895). Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 49*x - 203. Let s(y) = -3*y + 6. What is -7*s(j) - w(j)?\nAnswer: -28*j + 161","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 445 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, -5, -4, -6\/71, 1, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2 = 5*h - 3*h, 5*c = 2*h + 6. Suppose 0*s + 2 = -2*s, 0 = -4*z + 3*s + 47. What is the third derivative of n**2 + n**c - 10*n**4 + z*n**4 wrt n?\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 4:23 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 0)\/((-119)\/(-204)*-12). Factor -21\/5*i - 3\/5*i**2 + t.\nAnswer: -3*i*(i + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.056 + -0.0560395. What is p rounded to six decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 28 + 26 = 5*a, -3 = -2*a + 3*n for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 1:32 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*m - b, -2*b + 0*b = 0. Let x be -12 + (-3 - -5)\/2. Let z = -7 - x. Solve -z*a - a = m for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 667 and 1909?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 25\/2*w**2 - 13 - w + 5\/3*w**3 + 1\/6*w**4. What is the derivative of t(c) wrt c?\nAnswer: 4*c + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*v = -0*v + 22, 3*d = -4*v + 4. Suppose -d*w + 4783 = 3*o, 2*w + 2*w - 7961 = -5*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.36 (b) -0.25 (c) -1\/9 (d) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -108 in 2\/221, -0.2, -0.3, 4\/5, 1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 1)\/((-2)\/5). Let w(v) = -6*v - 8. Let b be w(s). Suppose -b + 4 = -a. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 25 = -4*a. Suppose 2*o = a*o - 9. Let m(h) = 3*h**2 + 1. Let u be m(1). Solve -o*q + 35 = u*d, 3*d = d + 2*q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334793321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 7 + 3 + 22?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34601072 divided by -44?\nAnswer: 786388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 46?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 4:49 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/60 + 6*(-5)\/50.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**7)\/o)\/o**(1\/10)*(o\/o**2)**(-2\/23) assuming o is positive.\nAnswer: o**(1607\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -593 - 586 - 599 - 10*r - 595 - 597 + 2966.\nAnswer: -10*r - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 5:11 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 7:50 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 + 27. Let q(k) = -4*k. What is q(n)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c + 8. Let z(b) = -2*b**2 - 6*b + 16. Let m(h) = 2*f(h) - z(h). Let v(l) = 176*l**2 + 9. Calculate v(m(y)).\nAnswer: 704*y**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/3 of a day in minutes?\nAnswer: 29760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*c**2 - 21*c**2 - 4*c**2 - 25*c**5 - 32*c**2 wrt c?\nAnswer: -1500*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 15 = t. Suppose t*h - 34 = -9. Suppose -w + 4*k + 3 = 2*w, -3*k + 34 = h*w. Solve g - 12 = -w*x, x + 4*g = -x + 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/17? (a) 1 (b) 2\/15 (c) -3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -122031033?\nAnswer: 122031100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 take away 0.64?\nAnswer: -50.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 u when two letters picked without replacement from {u: 1, q: 1, r: 3, c: 3, w: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-7)*78288\/(-4660).\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 1352*i - 652*i - 692*i.\nAnswer: 8*i + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 3*p + 0*p)*(-19 - 19 + 11) + (0 - 2 + 4)*(2*p - 2*p + 2*p) - p + 0 + 0.\nAnswer: 57*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1323 and 1323?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10386287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60297 and 2985.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -7. Let d be (-1)\/6 + (-145)\/30. Let x = d - -9. Put m, 2, x in ascending order.\nAnswer: m, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -g - 16 + 43, 0 = 4*k - 5*g - 17. Solve k*w + 0 = -8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 times 2.1886\nAnswer: 3.72062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 293.093 plus 0.06?\nAnswer: 293.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -6 (b) -0.4 (c) -1 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/(l**(-3\/10)*l)))\/l*l)\/l**(1\/5))\/((l\/l**(-1\/3))\/l**4) assuming l is positive.\nAnswer: l**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1700 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 - 39048*w**3 + 253811232*w**2 - 547202003328*w - 13279583812608.\nAnswer: 2*(w - 6516)**3*(w + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/3)\/(4\/6). Let m(f) = -222*f**3 - f**2 + 1. Let j be m(i). Suppose 5*a - 2*u = -0*u + j, -177 = -4*a + u. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*g**3 + 14*g**3 - 56*g**3)*(8*g - 31 + 31) + 2*g**4 + 4 - 4 to c*g**2 + f*g + p*g**4 + u + q*g**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**4 + 187*p**3 + 1379*p**2 - 4047*p - 5238 = 0. What is p?\nAnswer: -9, -1, 3, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006950144 to seven decimal places.\nAnswer: -0.0000695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -565471 + 269164065\/476. Let j = 3\/119 + r. What is the nearest to j in -0.1, 0.3, 0.034?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(2448) - (-1 + sqrt(2448))))**2 - sqrt(2448).\nAnswer: -12*sqrt(17) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/990 and 65\/33?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 140, 566, 1434, 2900, 5120, 8250?\nAnswer: 12446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 128 + -70. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 2 + 1 + sqrt(3) + -3)**2 + 3*(sqrt(864)\/sqrt(8) + sqrt(3)).\nAnswer: 12 + 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 8381?\nAnswer: 1676.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -131.57*6\nAnswer: -789.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4990674 or 19962699\/4?\nAnswer: 19962699\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 n when three letters picked without replacement from pnpnnegenennpn.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -2*y**6\/15 + 2*y**3\/3 - 6*y - 1. Let c(w) be the first derivative of z(w). What is the second derivative of c(u) wrt u?\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62 - 64) + 1\/6*10?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2) + 0\/17. Let k(m) be the third derivative of 0 + t*m**3 - 3*m**2 + 0*m + 1\/60*m**5 + 0*m**4. What is the first derivative of k(r) wrt r?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49891886?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 + 10431333?\nAnswer: 10431243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1028 and 2827.\nAnswer: 11308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -504 + x + 247 + 288 as g + n*x and give g.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*i - 40, -2*w - 30 = 3*w - i. Sort 3, w, -7.\nAnswer: -7, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0646*0.1.\nAnswer: -0.00646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 12:36 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/163, 1\/5, 6\/1249.\nAnswer: 6\/1249, 4\/163, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 873\/(-679) - (-14)\/49.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6296, 6285, 6266, 6239?\n\"Answer: -4*n**2 + n + 6299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/((-308)\/(-48))*(-7)\/(-2). Solve -4*j = 4*a - 18 + r, -a + j = 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10941227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**2 + 39*a + 38. Determine h(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33962574031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*i - 3067 - 1983 = 280*i for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r**3 + 2*r**3 + 2*r**3 + (-715 + 715 + 136*r)*(-2*r**2 + 4 - 4))*(1 - 3*r - 1) in the form b*r**2 + i + f*r + j*r**4 + x*r**3 and give j.\nAnswer: 813","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -17*g**5\/24 + 49*g**4\/24 + 2*g**3\/3 - 9*g**2 - 46. Let r(v) be the third derivative of p(v). Differentiate r(q) wrt q.\nAnswer: -85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1557\/173)\/(13 + -4)*29.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3 = -5*z, 0 = 5*z - 4024*m + 4020*m - 4. Solve z = 327*h - 305*h + 22 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 5:05 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + -38. Suppose 0 = -4*t - l + 55, 4*l = k*t + l - 73. Differentiate t*c**3 - 11*c**2 - 19*c**3 + 11*c**2 - 8 wrt c.\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 283469.204?\nAnswer: 56693.8408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffffffbffffffff?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 1:04 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 538, 4288, 14500, 34414, 67270, 116308?\n\"Answer: 540*k**3 - 9*k**2 - 3*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 - 42*x + 11. Let r be y(17). Find the common denominator of 55\/18 and 53\/(-2)*(-7)\/r.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 3:34 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 0.053\nAnswer: 0.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 58196 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 2*m + 0*m)*(-2309 - 1342 - 1301 - 1819 - 2015 + 47).\nAnswer: -26217*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*o = 10 + 3, 0 = 2*t - 2*o - 6. Let l be 4 + (-4)\/(t\/1). Which is the closest to 1? (a) -5 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 14 = 1. Suppose 3*a + 20 = b*a. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2240 and 23695?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3560 + 0.05\nAnswer: 3560.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119139658 = -10*z + 32860342. What is z rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**3\/7 - 2*f**2\/7 - 400*f + 4872 = 0. What is f?\nAnswer: -42, 14, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-196)*-2*2\/3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.193 * 32.276.\nAnswer: -6.229268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 163936525 divided by -5\nAnswer: -32787305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 3*o - 7*o - 5*j, 5 = -2*o + j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21*(-45)\/(1080\/(-16))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3898382.003557 from 0.4.\nAnswer: -3898381.603557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*j = -21, -j + 3*j = -q + 7. Solve q*a + 3 + 0 = 0, -l + 5*a + 6 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*c + 4*s - 5*s + 4597 - 4653, c - 4*s - 21 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/63 + -40\/63. What is the nearest to 0 in -7\/4, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 60. Let y be q*(-2 + (0 - -1)). Suppose -w - 101 + 341 = 0. What is the highest common divisor of y and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 9. Let h be (6\/(-16))\/((-15)\/y). Suppose w - 16 = 4*o - 3*w, 3*w - 12 = o. Which is smaller: o or h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (153 + -157 - (1 + (-4 - -3))) + 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h**3 - 5*h**3 + 3*h**3)*(6 + 33 + 13) as u + c*h**2 + z*h + v*h**3 and give v.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w = -18*w + 618. Suppose -w = -4*c + 286. Does 41 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o - 8. Let b(c) = c - 2. Let m(r) = r - 3. Let l(x) = -7*b(x) + 6*m(x). Let q be l(-4). Suppose -3*g - 24 + 9 = q. Determine n(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 499 = 115. Does 32 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/83, -4, -0.3, 4\/5 in decreasing order.\nAnswer: 4\/5, -2\/83, -0.3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/6 - (-191)\/(-3). Find the common denominator of y\/14*2\/8 and 103\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**5 + 1782*o**4 + 7158*o**3 + 10752*o**2 + 7173*o + 1794 = 0.\nAnswer: -1, 598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 75383 = -4*n + 6*n, 0 = 3*n - x - 113072. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 9:26 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 503968 - 0?\nAnswer: 503968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 194?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**5 + 18*p**4 - 33*p**3 + 6*p**2 + 36*p - 24.\nAnswer: -3*(p - 2)**3*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1140 and 6236660?\nAnswer: 355489620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -24*g**2 - 40*g. Let t(k) = k**2 - k + 1021 - 1021. Let n(w) = -c(w) - 4*t(w). Find the second derivative of n(x) wrt x.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 55, 117, 201, 307, 435?\nAnswer: 585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3350 (base 8) to base 12.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 5:36 AM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 92.04 to zero dps.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (13\/(-3))\/(-1) - (-6)\/9. Suppose -5*t - c*t + 560 = 0. What is the greatest common divisor of 98 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/40 of a millennium?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 293. Suppose x = -4*l + 5*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-12))\/((-6)\/12) - 1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a = f - 58 + 34, 2*a + 4 = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r**4 - 1956*r**3 + 2*r**2 - 137*r - 4888446.\nAnswer: 8*r**3 - 5868*r**2 + 4*r - 137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/168 and 29\/90288.\nAnswer: 632016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48286537.\nAnswer: 13, 29, 263, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 7*m + 6. Let t = 27 - 19. Let c be (-1)\/(-4) - (-76)\/16. Suppose -2*a + t = 0, -3*x - c*a = 2*x - 40. Give k(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -9*r**4\/4 - r**2\/2 - 14. Give c(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 477611\/14 > 34115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85 + 14*k**2 - 44 - 41.\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(5) + -1 - (sqrt(5) - sqrt(100)\/sqrt(5))) + (sqrt(25) + sqrt(200)\/sqrt(2))\/((2*sqrt(55))\/sqrt(11)))**2.\nAnswer: sqrt(5) + 9\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2423 divide 74078045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 17. Let l be s(6). Let j = l + 11. Is (-2)\/6*(-1 - -4)*j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (0 + -4) - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 23*u + 179. Let s be w(29). Let j = -4.07 - -0.07. What is the closest to 0.2 in s, j, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -4*w**5 + 8*w**4 - 8*w**2 + 4*w = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (4344\/3439)\/(75\/6650)\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + 5 + -20 - (3 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.286435 months in centuries?\nAnswer: 0.0019053625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + -2 + 4)\/(0 + 1). Solve 5*f + 21 + 4 = g for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -4*s + 48, 0*j - 5*s = -2*j + 45. Solve i = 4*i + j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 3 (c) -4\/9 (d) -5 (e) 0.07278\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 9.6723405?\nAnswer: 4.6723405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 465 - 295. List the prime factors of w.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 6:18 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 2*r - 717, 7*a + 419 = 10*a - 4*r. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5830, 5808, 5786, 5776, 5790?\nAnswer: 5840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 5 - 5 - 12*o - 21. Let p be q(15). Does 3 divide (-8)\/p + (-57)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -423102 - 421?\nAnswer: -424023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1647 is divided by 31?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(6)\/sqrt(3)) + 1 - (5*sqrt(24)\/sqrt(2))\/sqrt(6).\nAnswer: -4*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*c - 2*c**4 + 38*c**3 + 778 + 2*c**2 - 386 - 391 + 4*c - 5*c in the form d + l*c**2 + n*c + x*c**4 + o*c**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**2 + 6*v - 10. What is w(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 47.8874 to one decimal place.\nAnswer: 47.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 438.6466 and 1?\nAnswer: 437.6466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*x**3 + 20604*x + 187079?\nAnswer: -21*x**2 + 20604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (42 - 14 - 8)*(-m + 4*m - 2*m) as g*m + a and give g.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/9)\/(-39*75\/52650).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/((c**(-9)\/c)\/c*c))*c*c)*((c*(c**(1\/7)\/c)\/c)\/c)\/c)\/((c**(-3\/4)\/c)\/(c*c*c**2*c)) assuming c is positive.\nAnswer: c**(361\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -134)*(-176)\/32 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r**4 - 2*r**4 + 0*r**4 + 73*r**4 - 51*r**4 - 45*r**4 + 3*r**4 - 4*r**4 + 4*r**4 + (-2*r - 2 + 2)*(4*r**3 - r**3 - 2*r**3).\nAnswer: -19*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 45325.71 years?\nAnswer: 4532.571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -13*s**5\/15 + 17*s**2 - 30*s. Let f(d) be the first derivative of u(d). Let x(n) = -n. Calculate f(x(o)).\nAnswer: -52*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247507 is divided by 61874.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c - 3. Let j(h) = -8*h - 9. Let o = 3 - -8. Let f(s) = o*u(s) - 4*j(s). Find the first derivative of f(v) wrt v.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-464)\/(-290)*5\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8238018 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -11744663215098\nAnswer: 11744663215097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2 = -4*g, -7 = -6*g + g + 4*l. Let b = -37 + 37. Calculate the least common multiple of 2 and 0 + g + 17 + b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68\/2313 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37802 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -44\/23 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -3*l - 5*r + 22, -r = 3*l - 67. Suppose -u + l = -2. Solve -4*i + 0*i - 12 = -5*m, 4*i + 4*m = u for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-360)\/(-5))\/(-6))\/((-30)\/40)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 9:22 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - 900503557907?\nAnswer: -900503557874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1.1, -5, -55, -16\/21?\nAnswer: -16\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - f - 5*f)*(39*f**2 + 116 - 116 + (2 + 1 - 2)*(-2*f**2 - 1 + 1) - f**2 + f**2 - 2*f**2).\nAnswer: -70*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15015 is divided by 7488.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 12:54 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - f - 6. Let j be b(7). Suppose -49*y + 1245 + 699 = 23*y. Calculate the highest common factor of j and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/5 - 54348*g**2\/5 + 217368*g\/5 - 43472.\nAnswer: 2*(g - 27170)*(g - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-9)*(-48)\/(-16)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24724 - 24720. Solve -2*w + l*u + 4 = 0, 5 = -w - 5*u - 14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 10, -17, 4, 41 in increasing order.\nAnswer: -17, -3, 0, 4, 10, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h\/(h\/(h*h**(1\/33)))*h*h)\/h)\/h**(7\/3) assuming h is positive.\nAnswer: h**(23\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 667 + -670. Let k(q) = q**2 + 3*q - 7. Determine k(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127817227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -5*d + 2, 3*y - 5*d - 2 = 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 21943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - (19 + -4 + -16).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 463\/3 - 2\/6. Suppose 75 = 3*h + a - 45, -4*a - 108 = -2*h. Calculate the greatest common divisor of h and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 4 + 7 + (2 - 2 - 4)*(-5 + 3 + 0))*(w + 0*w + 0*w) + (-1 + 2*w + 1)*(0 + 0 + 3) in the form c*w + u and give c.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92279 by 80.\nAnswer: -92279\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 462969 = 6*a - 3*x, -2*a + x + 231481 = a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.63002ml in litres?\nAnswer: 0.01663002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 2. Suppose 0 = 220*g - 218*g + 100. Sort g, 0, o, 1 in ascending order.\nAnswer: g, o, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand d - d**3 - d + (-2*d + 0*d - d)*(-4 + 5 - 4)*(-d**2 + d**2 - 3*d**2).\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 10*l = -1876. Let f = l + 875. Do -58 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 23170?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2\/11)*h*h\/(h*h\/(h**2\/h))*h*h*(h**1)**(1\/74))\/(h**(1\/3)*h*h**(2\/33)*h*h)**20 assuming h is positive.\nAnswer: h**(-155515\/2442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 15. Let k be (-7 + 6 + 0)*(3 - -2). Sort 0, k, c, -1 in decreasing order.\nAnswer: c, 0, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 + 18. Let x = c - -30. Let i(q) = -2*q - 3. What is i(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 48 - 36 - 2*l**3.\nAnswer: -2*l**3 + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 2*n - 9, 4*d - 3*n = n + 24. Suppose -7*m + 31 = -11. Suppose -3*f + d = -m*f. Put 11, 1, f in ascending order.\nAnswer: f, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -8) + (19 - (-8 + 2 + 22))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 6 - 3 - 7*b**2 + 3*b**2 + 0*b**3. Let m be y(-4). Suppose v + m = 5. Does 13\/6 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -156 - -162. Let t be 1 + 16\/z + 4\/3. Solve -2*r = 5*f - r - 15, 0 = -f + t*r - 23 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110 + 80. What are the prime factors of 1655\/d*-4*9\/6?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 7*k + 555. Determine c(19).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55)\/(sqrt(11)*-4) + sqrt(5) - sqrt(60)\/sqrt(768))*3 + 4)**2.\nAnswer: 15*sqrt(5) + 2149\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -21.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18846, 37328, 55504, 73374, 90938?\nAnswer: 108196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2086, 8338, 18756, 33340, 52090, 75006?\n\"Answer: 2083*j**2 + 3*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k**2 + 8*k + 5. Let j be v(-5). Let a be 232\/(-2) + -1 + -1 + 3. Let r = 205 + a. Do j and r have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 126229231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o - 2. Let u = 47 + -44. Suppose 0 = -4*p + 3*t - 7*t + 44, -u*t = -2*p + 7. Calculate the lowest common multiple of r(2) and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 586410 - -5?\nAnswer: 586415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 319511*q - 167 - 319512*q in the form i + p*q and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2902, -2903, -2906, -2911, -2918, -2927, -2938?\nAnswer: -2951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -189.7 minus 5?\nAnswer: -194.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o + 17*o - 10 = 0, -4*k + 66*o - 128 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1, 20, 51, 94, 149, 216, 295?\n\"Answer: 6*x**2 + x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20 - -b?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 8:23 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -s - s - 5, 4 = -2*s - 2*c. Let u(l) = -4*l**3 + l**2 + 2*l + 1. Calculate the least common multiple of u(-1) and -4 + 0 - s - -13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2468091 is divided by 29.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5355\/10)\/(-9)*(-580)\/1015.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 23*m**2 - 12*m - 228. What is the lowest common multiple of 42 and h(-6)?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3979891l to millilitres.\nAnswer: 397.9891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**3 + 52716*o**2 + 4*o - 52716 = 0.\nAnswer: -1, 1, 13179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1972 is divided by 237.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1314807 and 0.1?\nAnswer: -131480.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*p**2*y**3 + 195202*p**2*y - p*y**3 - 2*p*y + 829*p - 2*y**3 + 57*y wrt p.\nAnswer: 12*y**3 + 390404*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-70)\/(-8) - (-30 - 477\/(-18)). Factor -7\/2*l + 1\/4*l**2 + j.\nAnswer: (l - 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 x when three letters picked without replacement from xccpxcc?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -85*h + 81*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 k when two letters picked without replacement from ookooossooootokooko?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*u = -2, -2*u + 3 = 3*m - 16. Suppose 0 = -m*z - z. Suppose z*h + 10 = 2*h. Solve -5*f = -h*d - 15, -5*f - 4*d + 22 = -2*d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-254*y - 255*y + 512*y - 30)*(6*y - 10*y**3 - 6*y).\nAnswer: -30*y**4 + 300*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 6101*y**5\/5 - 873*y - 2695. Differentiate k(j) with respect to j.\nAnswer: 24404*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + d + 3, -5*z - 4*d = -0*d + 12. Suppose z = y - 178 - 1165. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 82 and 10?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406620\/(-150)*(-25)\/10?\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38965\/7 + 5575. Factor 0 + 24\/7*j - 27\/7*j**4 + 18\/7*j**3 + b*j**2.\nAnswer: -3*j*(j - 2)*(3*j + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bnbbbobnnoobnnbbbnbo. Give prob of picking 4 b.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 35160, 140452, 315932, 561600, 877456, 1263500, 1719732?\n\"Answer: 35094*b**2 + 10*b + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 102.19 + -101.97. Put 0.3, 0.005, -2, j in decreasing order.\nAnswer: 0.3, j, 0.005, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/7 - 1396*v\/7 - 34662.\nAnswer: -2*(v + 327)*(v + 371)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 620687339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6562164.\nAnswer: 2, 3, 7, 78121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*d**3 + 10*d - d - 89*d**3.\nAnswer: -d**3 + 9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 + 0.56. Let k = n - 3.96. What is the closest to 2 in 3, -1, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5015, 5012, 5009, 5006, 5003, 5000?\n\"Answer: -3*a + 5018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -257.4 - 894.6. Let o = -138022 - -139178.69. Let p = w + o. Round p to one dp.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 28294, 56675, 85056, 113437, 141818?\n\"Answer: 28381*y - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 187 divided by -17\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31371 or 31168?\nAnswer: 31371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.9 to zero decimal places.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19974789?\nAnswer: 3, 179, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/1)\/((-425)\/(-85)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 27200002\/(-8) - 5\/(-20). What is p rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 11:54 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5024389.\nAnswer: 5024389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-22)*2\/3\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -108*g + 3. Let l be q(-1). Suppose 12 = -3*w - 4*p + l, -5*w + p = -142. What is the remainder when 112 is divided by w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12690\/1692*2\/(-81)*3?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -58925245.7 to the nearest 1000000.\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 13) to base 12.\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 304049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.02 (b) 544\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 1 = -3*x, -21*d + 44*x - 17*x = 15 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nex when three letters picked without replacement from {e: 1, n: 1, x: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - 7. Let w = -11.3 - s. Let i = w - 5. What is i rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1)\/((-8 - -4) + (-3854)\/(-964))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5070 - 5075. Which is the nearest to 11? (a) -3 (b) r (c) -2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 1593*t**3 - 2315*t**3 - 4791*t**3.\nAnswer: -5513*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -0.4, 1\/3 in increasing order.\nAnswer: -0.4, 1\/3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 191 in 2\/7, -0.4, -1, 54\/19?\nAnswer: 54\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 6*v**2 + 9*v + 5. Calculate y(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4858.3075 rounded to the nearest 10?\nAnswer: -4860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/5))**(-21)\/(o**0\/(o*o\/o**(-9)))*(o\/(o*o**5*o)*o**(-7))**28 assuming o is positive.\nAnswer: o**(-1744\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w**3 + 146*w**2 + 836*w. Give d(-8).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 9*q + 9. Let f(l) be the first derivative of -2*l**2 - 4*l - 3. Let h(g) = 9*f(g) + 4*w(g). Let p(a) = 2*a. Give p(h(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101111100011101 (base 2) to base 8.\nAnswer: -57435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*y - 6, y - 6 + 1 = 3*p. Let r be (3 - 3)\/2 - p. Suppose -5*s - r*k + 102 + 28 = 0, k - 5 = 0. Calculate the remainder when s is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*y = 1 + 2, -4*y = -5*g + 7. Suppose n - 15 = -4*s + 55, g*n = -4*s + 74. Solve -s = 3*c + 4*w, 2*c - 22 = 6*c + 5*w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 88 (b) 742 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1258285 to the nearest integer?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 69. What is the remainder when x is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, z: 1, q: 2, u: 1, p: 1, a: 1}. Give prob of picking 1 a, 1 q, and 2 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 - (-3 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 648 and 88.\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27791057705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -33*p + 17. Let b be a(2). Let n = b - -54. Suppose -3*f = -n - 703. What are the prime factors of f?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y\/y**(-2))\/y*y*y)\/y**14)**37)**(-1\/97))**(-35) assuming y is positive.\nAnswer: y**(-12950\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1331 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 64 = 4*g, -65 = -8061*g + 8058*g - 2*n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606638*f - 606855*f = -8897 for f.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2854803 to the power of 1\/2, to the nearest integer?\nAnswer: 1690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14820 = -1472*o + 1484*o. What is the highest common divisor of 380 and o?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/((-76)\/(-1216)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 280 + -274. Solve q*f = 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**5\/60 + 11*b**4\/12 + 121*b**3\/6 + 1331*b**2\/6 - 44*b. Determine l, given that i(l) = 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7416 + 67?\nAnswer: 7484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64 + 257\/4. Let b(p) = -p**2 - 8*p - 10. Let c be b(-7). What is the closest to h in 2\/3, c, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-8)\/(-3))\/(2\/6) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 231159+90.499\nAnswer: 231249.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 9*q + 37 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3513, 7029, 10543, 14055?\nAnswer: 17565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -55806*i**2 - 167407*i + 26. Calculate q(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 6*l**2 + 7*l + 8. Let x be w(-8). Let y = -82 - x. Suppose 4*b = 34 + y. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2253*m**2*s**3 + 3*m*s**2 - 10914*s**3 wrt m.\nAnswer: 4506*m*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 147 = -4*n, -5*n + 84*o + 189 = 81*o. Calculate the smallest common multiple of n and 378.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2915 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 8*b - 4. Let r be p(2). What are the prime factors of -1 - (-120)\/r*392\/(-10)?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 7 + ((-495)\/(-297))\/((-10)\/(-1398)). Solve -259 = -3*b - n for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10064 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1693 - 1163. Is 36 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**4\/2 - 13*d**3\/2 - 4*d**2 + 26*d + 24 = 0?\nAnswer: -12, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + z + 1. Let q(i) = 5*i**2 + 4*i + 13. Let g(n) = -q(n) + 6*u(n). Let r be ((-17710)\/7084)\/((-2)\/(-4)). Calculate g(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -0*s - s - 59, v - 5*s = 34. Let y be 19\/(1 + 6\/(-3)). Let i = v + y. Calculate the highest common factor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12)\/18)\/1 + 225711\/27 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 5*p - 9. Let x be g(-6). Let o = x - -18. Let z(r) = -5*r - 3. What is z(o)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -2*l + 4. Suppose o = -2*y - l*y + 121, 0 = -o - 3. What is the remainder when y is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 3*h + 0*h)*(2*h**2 - 5*h**2 - 4*h**2)*(1 + 3 + 3).\nAnswer: 147*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t + 4. Suppose -551*r = -541*r + 50. Let g(o) = 1. Let w(v) = -4*v - 4. Let b(q) = -g(q) - w(q). Calculate r*j(k) + 6*b(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 - 2*f**2 - 2*f**2 + (-f + f + 2*f)*(4 - 4 - 2*f).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**3 + 2*o**2 + 20*o - 35. Calculate r(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20088 and 2676726.\nAnswer: 10706904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 13. Let f(w) = -2*w - 25. Let j(n) = -4*f(n) - 10*o(n). Let v be j(-14). Calculate the common denominator of 77\/16 and (-5)\/(v - (-8)\/52).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.715542ml in litres?\nAnswer: 0.001715542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 17 = -14*p - t, 0 = -t - 2. Sort 4, 3, p in ascending order.\nAnswer: p, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9403.07 to the nearest one hundred.\nAnswer: -9400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 259948?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/(-144) + 6 + 123\/9?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*i**3 + 32*i**2 + 232*i + 5.\nAnswer: 108*i + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence if when two letters picked without replacement from {i: 8, f: 5, z: 5}?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7493 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -92\/2295 and -33\/15385.\nAnswer: 415395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -481, -5, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22952453317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.872191 meters to nanometers.\nAnswer: 5872191000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 5 = 89*m - 91*m - 10, c - 4*m - 21 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -y**4\/12 + 11*y**3\/3 + 7*y**2\/2 - 10*y. Does 31 divide d(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46579798339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - -1)\/((-6)\/(-4)). Suppose 0*z = 3*z - 6. Let g(y) = 0*y**3 - y**3 + 0*y - 3*y + 2 + z*y**2. Calculate g(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 253 + -228. Let g be 2\/((-85)\/p + 3). Let o(b) = b + 2. Give o(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4041 and 639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 320*z + 999. Does 123 divide n(36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -144, -147, -136, -99, -24, 101, 288, 549?\n\"Answer: 2*v**3 - 5*v**2 - 2*v - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -187\/4313460 and -68\/555.\nAnswer: 4313460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.1511714s?\nAnswer: 151171.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.19? (a) 3 (b) -1473 (c) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 10 = 5*m, -24*m - 3*c + 2 = -19*m. Is (-10)\/m - (-2690 - 1 - 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, t: 9, z: 2, d: 5}. What is prob of picking 1 z and 1 m?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/2 - 465*d - 216225\/2.\nAnswer: -(d + 465)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 515, 988, 1447, 1886, 2299?\n\"Answer: -l**3 - l**2 + 483*l + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16960659?\nAnswer: 3, 1013, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 1:20 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1421723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -10*y**3 + 13*y**2 + 5*y + 5. Let k(o) = 17*o**3 - 24*o**2 - 7*o - 9. Let x(f) = 3*k(f) + 5*u(f). Determine x(5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700)*-2 + -3 + sqrt(700) + sqrt(700)*-3 + sqrt(700) + -1 + (2*sqrt(700)*1 + -5)*-6.\nAnswer: -150*sqrt(7) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + -5 + (-4)\/5. Let t = -3624 + 3472.9. Let h = 151 + t. Which is the nearest to 2\/9? (a) -3\/4 (b) h (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9453 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -115843479 and -115843481 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -18242568.\nAnswer: 9121284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*w**2 - 1085*a**2*w - 97*a**2 + 21918*a*w**3 + w**2 wrt w.\nAnswer: -2*a**2 + 131508*a*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7670944 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102512233?\nAnswer: 102512233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 987183*h**2 - 15813*h - 5271. Let q(o) = -749*o**2 + 12*o + 4. Give 4*m(c) + 5271*q(c).\nAnswer: 753*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u + 4. Let a(c) = 6*c + 2. Let q(j) = -7*j - 2. Let x(s) = 6*a(s) + 5*q(s). Suppose 0 = 4*v + 2*m - 6, -2 + 35 = 2*v - 5*m. Give v*t(l) - 9*x(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006649679 rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -7) + 10 - 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((88\/165)\/(-8))\/(((-9)\/(-30))\/(-1)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 105*d**3 + 208*d**2 + 93*d - 6. Suppose 42 = 7*b + 70. Let f(v) = 105*v**3 + 209*v**2 + 93*v - 6. Let s(h) = b*f(h) + 5*l(h). Factor s(w).\nAnswer: 3*(w + 1)**2*(35*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48044?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 18*t - 140. Let d be o(8). Factor -d*u**4 + 16*u**4 - 9*u**4 + 7*u**3 - 8*u**4 - 2*u**2.\nAnswer: -u**2*(u - 1)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/3)*z**3*(z\/((z\/(z\/(z\/(z*z**(-3\/7))))*z)\/z*z))\/z*z**(-1)\/z*z*z assuming z is positive.\nAnswer: z**(40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1 - (-20 + 21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 0 - 2*g**2 - 1\/3*g**3 - 1\/24*g**4 + 66*g. Give c(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -153 - 403. Let u = -559 - o. Sort u, -4, 0.06, -0.4.\nAnswer: -4, u, -0.4, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/((-102)\/(-153))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 3. Let q be d(-7). Let n be (-2*(-3 - 1))\/((-4)\/q). Which is the closest to 1? (a) -0.5 (b) n (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 27*h**2 + 29*h + 35. Let z be a(-28). Suppose -2*c + c = -21. Calculate the greatest common divisor of z and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2046828 times 0.4?\nAnswer: -818731.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*z + 34425 = 38*z + 353*z for z.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10067089559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4317, -8898, -13743, -18852, -24225, -29862, -35763?\nAnswer: -41928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -28 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/3, 1\/3, 732701?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbbuqubbsbbgbbxbxgbs. What is prob of sequence ugq?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**3 + 8*v**2 + 8*v + 10. Let q(j) be the first derivative of j + 1\/3*j**3 + 1\/2*j**2 - 36 - 1\/4*j**4. What is c(k) - 8*q(k)?\nAnswer: 6*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -765.5 + 766. What is the nearest to 0.2 in -3, 0.05, 2, l?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 3, 98, -0.2 in decreasing order.\nAnswer: 98, 3, 0, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*u = -4*k + 52, 0 = 5*k + 2*u - 65. Suppose -15 = o - k. Let j be ((-2)\/4)\/1*o - 2. Which is greater: j or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.329657 kilograms in grams?\nAnswer: 2329.657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 316*a**3 - a**2 + 8*a - 6. Let r be d(1). Let o = 328 - r. Calculate the remainder when 21 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4930 = 30395*b - 30540*b for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -322 - -320. Let w be ((-12)\/16 + 1)*n. Are -0.03 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -ab84d?\nAnswer: -ab848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qm when two letters picked without replacement from {f: 4, s: 2, q: 5, m: 2, v: 1}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**5\/120 - d**4\/3 - 5*d. Let b(n) be the third derivative of s(n). Let j(x) = 2*x - 6. What is -6*b(m) - j(m)?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -291930 divided by -6.\nAnswer: 48655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 9:44 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.456555 kilometers to millimeters.\nAnswer: 6456555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/1002771 or 0?\nAnswer: -4\/1002771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8979498\/665 - 13503. Let d = -8663\/3990 + s. What is the common denominator of d and ((-424)\/(-72) + -2)*4\/8?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47057994601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410735 is divided by 410726.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 249 + -249.1. Suppose -2*z - 338 = -0*z. Let d = z - -1185\/7. What is the nearest to -0.01 in c, 2\/5, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-3)*11\/(88\/12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 813139*k**6 + 27*k**2 - 2891 wrt k?\nAnswer: 97576680*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + q + 134. Calculate the remainder when p(-10) is divided by (-1)\/(-5) - 316\/(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.56 + 212.44. Let x = -213.2 + k. What is the nearest to x in 1\/4, 7, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-4 - -2 - -6) + 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 3:25 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-24)*2\/(-1)*-40*43\/(-9460)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -17*c**2 + 20*c + 30. What is the hundreds digit of q(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 3 + 11*k + 2*k + 7)*(3 - 1 - 1).\nAnswer: 2*k**2 + 13*k + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1474b1 - -2?\nAnswer: 1474b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/5)\/(q**6*q))**(-22)\/(q**3\/q**(-5))**(-40) assuming q is positive.\nAnswer: q**(2392\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -9*s**6\/10 - 35*s**2\/2 + 15*s. Find the first derivative of g(l) wrt l.\nAnswer: -108*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b**2 - 5*b - 3. Let a(i) = 16*i**2 + 2*i + 5. Let h(p) = -15*p**2 - 3*p - 5. Let n(u) = 6*a(u) + 7*h(u). Determine -4*n(m) + 7*r(m).\nAnswer: m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 10:43 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -167*i**5\/5 + 3*i**4\/4 + 2*i**3\/3 - 103*i**2\/2 + 363. What is the third derivative of j(p) wrt p?\nAnswer: -4008*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -69*s - 5*s**2 + 69*s + 6*s**2 - s**3 - 4. What is q(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/21*3)\/(20\/(-14))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 - 56*i - 5. Let z be m(28). Let s(y) = 2*y**3 + 2*y**2 + 3*y. Let a(l) = 3*l**3 + 2*l**2 + 4*l. Give z*s(c) + 4*a(c).\nAnswer: 2*c**3 - 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 1:21 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 837 divide 287928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2410024*f - 2410031*f - 141501 + 141501.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l**5\/5 - 116*l**4 - 18032*l**3\/5 - 2352*l**2 = 0 for l.\nAnswer: -21, -2\/3, 0, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -15*x**4\/4 - 13*x**2\/2 - 4*x + 10. Let o(n) = 4*n**3 - n**3 + 4*n**3 + 2 + 6*n. Give -13*o(d) - 6*s(d).\nAnswer: -d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -5*b**3 - 164*b**2 + 9*b - 58. What is the remainder when n(-33) is divided by 140?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 6, -5, -27, -2 in increasing order.\nAnswer: -27, -5, -2, -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5 = 4. Suppose -925 - 731 = -m*q. Suppose -8*h = -0 - q. Calculate the remainder when h is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 226. Let v(o) = -96. Let b(k) = 3*q(k) + 7*v(k). Suppose 4 = -i - 2. Let y(d) = -d - 17. What is i*y(z) - 17*b(z)?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8601844 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u**(3\/7)\/u))\/u*u**(3\/5))\/(u**7\/((u*u*u**(-4\/5)\/u*u)\/u)))**(-30) assuming u is positive.\nAnswer: u**(1392\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (129\/(-27) - -1)*(8\/(-36))\/(408\/1377)?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (76*1)\/(44\/(-6))*472\/((-107616)\/2508).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 5:59 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -697 + 703. Solve -2*r = -4*z - 4, 5*z + 5*r = 2*r + h for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -7 + (13 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26 + -77?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/1*-4*(-5)\/(-350). Suppose -2*y + 6 + 0 = 0. Solve -n*t**2 + 0 - 2\/7*t**y + 0*t = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*h - 7*h + 11*h - 376 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/2*((-24)\/(-30))\/(814\/(-55)).\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**2 - c**2 - 2*c**2)*(0*c + 2*c - 3*c) + 0 + 48*c**3 - 39*c**3 + 38.\nAnswer: 7*c**3 + 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294 + 9*p**3 + 97 + 94 + 99.\nAnswer: 9*p**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71967*-0.03.\nAnswer: 2159.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 19911730997?\nAnswer: -19911730997.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18232999 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**4 + 3*m**4 + 0*m**4)*(3517*m + 4769 + 111*m - 4769).\nAnswer: -3628*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*2\/4 - (7 - 9). Suppose -1780 = -3*f - 11*k + 7*k, 5*f = w*k + 2955. What is f rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*t - 8*t + 2*t)*(-1 + 1 - 3*t) + 102*t**2 - 3*t**2 + 38*t**2 to the form s + u*t**2 + d*t and give u.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**2 - 1797*r + 3598 = 0.\nAnswer: -1799, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/7 + (780\/(-42) - -23). Sort b, 1, -21, 11 in decreasing order.\nAnswer: 11, b, 1, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 3*c - 12. Suppose 0 = -c*g - g + 5. What is the second smallest value in g, -1, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9919 and 2508090.\nAnswer: 17556630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 15*r = 45 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 321\/10 - 32. Let n = 2\/347571 - 2340195575\/5561136. Let q = 421 + n. What is the common denominator of y and q?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 7:58 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and 12715 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102242 = -21*s + 102620 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 189120?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0.3, 0, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2473873609?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 4, 0.051, -1\/2, 12, 5, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60 - (-99 + (-56 - -90))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 10. Let v(d) = 2*d - 11. Determine 4*o(q) + 3*v(q).\nAnswer: 2*q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 22, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0\/c)**(-46)*c\/c**(-1)*(c*c\/(c\/c**6))\/c*(c*c\/c**(-5)*c**(-2\/11))**(-2\/35) assuming c is positive.\nAnswer: c**(4128\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*((n**0\/n)\/n)\/n)**49\/(n**(1\/2))**(-5\/13))\/(((n*n**0)\/n)**(1\/21))**(2\/99) assuming n is positive.\nAnswer: n**(-2543\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.495 - -0.195. Let l = -0.233 - -0.333. What is the closest to l in 6, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39710 divided by 361.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-108)\/8)\/(-1))\/((1022\/(-56))\/73)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 18. Let u be (w - 15)\/(-4) + 3. Solve u + 2 = -2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 30 = 15*f. Let b(k) = -k**3 - k. Let i(w) = -3*w**3 - 5*w**2 - 10*w + 3. Let t(m) = 4*b(m) - i(m). Give t(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1127034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 15*h - 3. What is the second smallest value in h, 3, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(63)*-4 - (sqrt(7) + sqrt(343) + 0 + sqrt(343)) - sqrt(14)\/(-2*sqrt(128)))**2.\nAnswer: 1299815\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10*25\/3250)\/(1*(-32)\/52).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29 or 1?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z - 21*z + 10*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/27 and -89\/184527?\nAnswer: 553581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 7*b**2 + 9. Let z be l(-7). Suppose 2*a - 50 = -5*h + 3*a, 0 = -4*h + 4*a + 56. Are z and h non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.62933 rounded to one decimal place?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4214 or -4216?\nAnswer: -4216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**3 - 20*b**2 - 25*b + 98. Let k(u) = 4*u**3 - 22*u**2 - 26*u + 98. Let j(a) = 4*k(a) - 5*v(a). Factor j(i).\nAnswer: (i - 2)*(i + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, y: 5, i: 1, d: 1, h: 1, s: 3}. What is prob of sequence hd?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -0.087, -1, -2\/11, 0.11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 101 + 114 = -m, -4*m + 3*s = 40 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-2*sqrt(1216) - sqrt(1216)) + (sqrt(1216) + -4 + 4 - sqrt(1216)))*-6.\nAnswer: 6 + 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 12 = 2*p + 2*f, p + 3*f = -32. Let m be -2 - (1 - 1 - p). What is the common denominator of m\/10 - (-12)\/(-3) and 85\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15859, 15858, 15857, 15856, 15855, 15854?\nAnswer: 15853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -1\/3*n**3 + 1\/3*n**4 - n**2 + 4*n + 0. Let a(f) = -f**2 + f + 1. Let u(w) = -5*a(w) - g(w). Determine u(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -40212*a*w**4 - 2*a - 293 wrt w?\nAnswer: -160848*a*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 12 = 37. Suppose -a + x*p + 0 - 10 = 0, -3*a + p + 40 = 0. Suppose 2*h + 3*h = a. Solve -l + 4 = h*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 82*x + 18 + 1 - 5 - 15 in the form w + g*x and give g.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n - 7. Let f(o) = -o - 4. Let g(d) = 7*f(d) - 4*i(d). Let x(m) be the second derivative of -m**4\/3 + m. Give x(g(s)).\nAnswer: -100*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 1 + 1 - 4*y - 5 + 2*y. Let s be z(-3). Solve b - 2*k = -5, 0 = 4*b - s*k - 0*k + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.4 from -0.63.\nAnswer: 2.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (28*l**2 + 414*l**2 - 33*l**2)*(4*l - l - l + (2 + 3 - 2)*(-l - 3 + 3 + (l + 3*l - 7*l)*(4 - 6 + 0))) in the form d*l + p + m*l**3 + y*l**2 and give m.\nAnswer: 6953","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 14) in base 15?\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 182144124*i**2 + i - 4420473 wrt i?\nAnswer: 364288248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4 * 6809.\nAnswer: 9532.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -143030?\nAnswer: -143032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -6)*295\/(-10). Let s = 346 + f. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*h**2\/6 - 562810*h + 482410\/3.\nAnswer: -5*(h + 96482)*(7*h - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of f**4\/2 + f**2 - f - 1. Is 7 a factor of o(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*b = 27, -y - 3 = 3*b - 5*b. Let x be (18\/(-25))\/(y*(-12)\/90). Solve 9\/5*d + 3\/5*d**3 - x*d**2 - 3\/5 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -18. Let z be (x - 0)*(-2)\/4. Solve -2*f + z*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.508 to two decimal places.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -1\/8*m**4 + 0 + 7*m**2 - 2\/9*m**3 + 1\/120*m**6 + 1\/18*m**5 + 0*m. Factor s(f).\nAnswer: (f - 1)*(f + 4)*(3*f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1372863.14300035 + 1372863. Let w = 0.143 + y. Round w to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (149*b + 221*b - 14*b)*(0 - 1 + 0)*(2*b**4 - 5*b**4 + 4*b**4).\nAnswer: -356*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4875.618 rounded to the nearest ten?\nAnswer: -4880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89334 divided by -4254.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n**2 + 3*n + 4. Let z(m) = 5*m**2 + 2*m + 3. Let u(v) = -2*w(v) + 3*z(v). Let b be u(-1). Solve 4*i - 13 = c, -b*i + 1 = 2*c - 7*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pr when two letters picked without replacement from zjdpdor.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (1 - 6)*1. Suppose 3*n + 14 = 4*n. Let v = l + n. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-90)*5)\/(24\/10)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.2 - -3. Let x = 0.2 + n. Let q = 0.37 + -0.34. Put -2\/9, q, x in decreasing order.\nAnswer: q, x, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 5*h**2 - 2*h - 4. Let b(m) = -m**3 + 4*m**2 + 3*m + 5. Suppose -9 + 16 = q. Suppose 0 = -q*d + 8*d - 5. Let i be b(d). What is a(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110001111101101111000111 - 1?\nAnswer: 1110001111101101111000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3*q + 112. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 685848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 60 = -116. Let t = v + 91. Calculate the greatest common factor of 84 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -0*b + 3*q + 9, -5*b + q = -15. Let a = 8 + b. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33 - 359?\nAnswer: -359.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66426234.\nAnswer: 2, 3, 7, 1581577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1293064, 5172230, 11637498, 20688862, 32326316, 46549854?\nAnswer: 63359470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 0 - (27 + -31)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13491526.\nAnswer: 2, 6745763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**3 - 4*c**2 + c - 4. Let x be d(3). Let t be 96\/x + (-10)\/55. Suppose o - 203 = 4*w, t*o - 171 = 3*w + 260. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-60)*((-6)\/(-39) + (-10508)\/20306)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 11 - 34 - 122*f**2 - 2*f**4 - 25 + 18*f**2 - 80 + 192*f + 24*f**3 = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19.078 - 0.122. Let w = 19 + r. Which is the smallest value? (a) 3\/2 (b) w (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/11922 (b) -0.1 (c) -2 (d) -0.0877\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m + 594 = 646 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 2:27 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -179406 by -4.\nAnswer: 89703\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 5. Let z be x(3). Suppose m = -z*m. Suppose -3*p + 993 = -m*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1)*(25\/(-10) + 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/960 and 29\/5760?\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 120*o - 5. Let g be s(2). Let b = g - 233. What is the least common multiple of b and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 410718, 410717, 410716, 410715, 410714?\nAnswer: 410713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 20*y - 22. What is h(21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1790198429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -121. Is 29 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -303767.905 rounded to the nearest 100?\nAnswer: -303800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**8*g**7)**(-7\/5)\/(((g*g**(-1))\/g)\/(g*g\/g**1))**(-46) assuming g is positive.\nAnswer: g**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -3\/2*d**2 + 313 + 55*d**4 + 0*d + 9*d**3. What is the third derivative of s(v) wrt v?\nAnswer: 1320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349635 is divided by 1433?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 58*x + 0*x**2 + 1\/3*x**3 + 0. Let a(t) = -2*t + 8*t + 3*t. What is q(a(s))?\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15309 by 27.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4451, 161, 4, -2 in decreasing order.\nAnswer: 4451, 161, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 10 + (2 - 2). Let b(m) = 27 - z*m + m**3 - 12 - 16*m**2 - 7*m. What are the prime factors of b(17)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, y: 3, o: 1, h: 2, r: 3}. What is prob of sequence yh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -12722, -2 in increasing order.\nAnswer: -12722, -2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-10 - -1) - (-16 + 4 - 1)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13320, -13308, -13296?\nAnswer: -13284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31853554, -63707109, -95560662, -127414213, -159267762, -191121309?\nAnswer: -222974854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + 104?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 s when two letters picked without replacement from {f: 4, s: 2, j: 6}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -33925573178.6892.\nAnswer: -33925573173.6892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (406\/232)\/((-42)\/72)*12\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 5 (c) -2\/5 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 8*x - 26. Let j be n(9). Let v = j - -875. List the prime factors of v.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34438 is divided by 615?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 95915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2271 in -0.5, -22, 0.02, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 0.09 (c) -0.5 (d) 0.4 (e) -3 (f) 1016\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-169.786221\nAnswer: -84.8931105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 - 3*n**2 - 2*n. Determine y(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3858 - -9438. Suppose -3*w - 51 = -d. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**4*w - 8104*o**4 - 4*o**3 + 4651*o**2 + 174*o*w wrt o?\nAnswer: -72*o*w - 194496*o - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 2*d**2 - 3*d + 4. Let q = 6 - 9. What are the prime factors of c(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1. Let y = r + 12. What is the remainder when (-45)\/27*15*(6 - 7) is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 0 + (-1 - -2))\/(153\/3519). Which is smaller: 6 or c?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 29, 30, 33, 38, 45, 54?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244141?\nAnswer: 244141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 8*k + 3*k + 13*k - 22.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 5*u - 19 = 0, -4*u + 5 = -5*o + 37 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -32*x**4 - 64*x**3 + 58*x**2 + 90*x - 17. Let t(p) = -11*p**4 - 22*p**3 + 19*p**2 + 30*p - 6. Let l(r) = 6*m(r) - 17*t(r). Solve l(y) = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 7, -1 in ascending order.\nAnswer: -2, -1, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2447137?\nAnswer: 7, 11, 61, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103819 - -2.\nAnswer: -103817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5*g + 136, 3*g + 190 = 3*y - 200. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 0*x - 6*v - 62 = -v, -822*v = -827*v - 60 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -g - g. Suppose 6 = g*y - 2. Calculate the smallest common multiple of 0\/2 + -3 + 14 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/7 equal to -42.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 34 = 2*q - 46, -2*l = -3*q + 128. Is 43 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 8:47 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 66, -2, -7, 13 in ascending order.\nAnswer: -7, -2, 0, 4, 13, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*w - 178 = -66. What is the closest to -0.1 in -3\/2, -2\/17, 4, w?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 6:18 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((23*d**2 - 18*d**2 - 11*d**2)*(-2*d - d + 7*d) + 3*d**3 - 6*d**3 + 2*d**3)*(4*d - d - 2*d) to y*d + m*d**3 + b + w*d**2 + s*d**4 and give s.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, 194085, 2 in decreasing order.\nAnswer: 194085, 102, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -505 by -95.\nAnswer: 101\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60581 is divided by 12099?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, p: 4, v: 1, e: 9}. Give prob of picking 2 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30214269.\nAnswer: 3, 1119047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 10012100201012101?\nAnswer: 10012100201012110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*t - 137*t + 127 = 15*f - 0, -t - 4*f + 34 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11693?\nAnswer: 11, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65) + -2*sqrt(65))*-3)\/(4*sqrt(20)) + 1)**2 + -6*sqrt(13)*1 + (sqrt(156)\/sqrt(3))**2 + ((-2*sqrt(52))\/sqrt(2))\/sqrt(2).\nAnswer: -29*sqrt(13)\/4 + 3509\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*h - 12 = -157, -4*k + 5*h + 103 = 0. Suppose 0 = -7*i + 6*i - 2. Does 4 divide 9\/(i + 68\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 1 - 1 + 0*w)*(5*w**2 - w**2 - w**2).\nAnswer: -6*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*q - 3*i, q + 15 = -2*q - 5*i. Let d(u) = u + q*u + u. Let h(n) = -3*n - 2. Let w(b) = -16*b - 11. Let t(c) = -11*h(c) + 2*w(c). What is t(d(a))?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/310552 and 139\/54.\nAnswer: 8384904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/100 and 137\/190236.\nAnswer: 4755900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 10:36 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2 - 5. Let o be (n + -1)\/(-2)*0. Suppose 3*b + 2*q - 86 = q, o = 4*b - q - 124. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1033 + 2?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j + 3*j - 4*j + 0*j + 2*j - j + 3 - 3 + 2*j + (1 - 2 + 0)*(-j - 1 + 1) + 3*j - 5*j + 0*j - j + j + 2*j in the form y + c*j and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/12581 - 1547433\/125810. Calculate the common denominator of 111\/2290 and k.\nAnswer: 2290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 divided by 224104?\nAnswer: -43\/112052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2008*i**5 + 24215*i**4*l**3 + 29*i*l**3 + 8372171*i*l wrt i?\nAnswer: 40160*i**3 + 290580*i**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (13\/(-52))\/(7\/(-56)). Let d be b\/(-4) + 100\/40. Let f be (1 - 0) + 7\/(-9). What is the nearest to d in f, -0.2, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84 - -176. What is the remainder when y is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, o: 3, k: 1}. Give prob of picking 2 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-7788)\/176 - -43.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/48*(-2)\/3)\/((-102)\/272).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 9 + 1 = 0, 5*u = 4*o + 17. Suppose 2*f - m - 2 = 3*f, -o*m - 8 = 0. Solve -3*z = -s - z + f, 4*s + 2*z - 8 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*k**2 - 3)*((-14 - 13 + 30)*(0 + 0 + 2) + (6 - 4 + 0)*(4 - 3 + 1))*(-3*k + 4*k + k).\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**4\/4 - 8*z**3\/3 - z**2 + 7*z - 250. Let n(l) = -l**3 + 7*l**2 + 2*l - 6. Give -7*n(y) - 6*t(y).\nAnswer: y**3 - y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-754*z**2 - 926*z**2 - 683*z**2)*(z - 2*z + 2*z) in the form s*z**2 + k*z**3 + h*z + r and give k.\nAnswer: -2363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -784, -791, -796, -799, -800, -799, -796?\n\"Answer: b**2 - 10*b - 775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0136 + 1.5236. Let k = m + -1.11. Let t = 1 - 3. Which is the nearest to -8? (a) 2 (b) t (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83*o**4*y**2 - 62*o**4 - 1017*o*y**2 - 10*o*y wrt o?\nAnswer: -996*o**2*y**2 - 744*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1444336773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 0*d + 2*h + 18, 5*d - h - 65 = 0. Let l be ((-10)\/(-15))\/((-6)\/(-27)). Suppose 159 = l*k - 0*k. What is the remainder when k is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 7*a + 60. What is the remainder when 24 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**2 + 19620*m + 1635736 = 0.\nAnswer: -82, 4987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 9*c + 152. Let q be j(-8). Let i be -3*(550\/q + -8). Find t, given that 3\/4 + i*t**2 - 33\/8*t = 0.\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*(sqrt(19) + 0)*-2 + (sqrt(190)\/(sqrt(70)\/sqrt(7) + sqrt(10)) - sqrt(19) - (sqrt(931) - sqrt(931)*-2)**2) + 5.\nAnswer: -8374 + 23*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 18*n**2 + 7*n - 3. What is x(-2)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*q + 2*c + 3*c, q - 25 = 4*c. Suppose 3*u + q*k - 22 = u, -k = -2. Calculate the common denominator of 59\/10 and u\/(-64)*(-82)\/3.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32850420 to the nearest one million.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 + 54 + 8*x**2 + 54 - 215 - x**2 + 71.\nAnswer: 7*x**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 142.\nAnswer: 56.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.6 + 2.3. Let b = 1 - y. What is b rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8852640?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/(-24)*(-2859)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*p - 0*z - 14, -2*z = 2*p - 26. Let q be (-36)\/15 - 2\/(-5). Let f be (q + 1)\/((-2)\/6). Solve -m + f*x - p = -x, -9 = m - 5*x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172723 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) 0 (c) 5 (d) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15233101?\nAnswer: 13, 53, 22109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-4)*2\/2. Let d = 4.833 + 0.067. Let p = 0.1 + d. Which is the nearest to -2\/7? (a) 1 (b) q (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.06 - 522.06. Let w = x + 484.9. What is w rounded to zero dps?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*n - 26, -6 = m + 5*n + 5. Let b = 108 - 107.18. Let f = b - 4.82. What is the second smallest value in m, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 3*w**2 - 3*w - 2. Let m be l(4). Let i = m - -43. Let x = -1 - -6. Calculate the greatest common factor of x and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 36, 45, 72, 123, 204, 321, 480?\nAnswer: 687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 times 602?\nAnswer: -43344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.93 + 0.07. Let u = 199 - 198.6. Which is the second smallest value? (a) j (b) u (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 614 = 5*h - 4*b, -h + 4*b + 125 = b. Let g be 1\/4 - (-5494)\/8. Let a = h + g. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 854?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - q = -3*s + 3708, -2*s + 932 = q. Let l be q\/946 + (-1 - 0). Is -1 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483 is divided by 81?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 3*n - 1\/6*n**3 + 0 + 0*n**2. Let v(j) = 3*j**2. Determine v(i(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-5)\/j)\/j**(1\/4)*(j**(-1\/2))**(3\/32)*(j**(1\/6)\/j**(-1\/6))\/(j**(-6)\/j**(-1\/8)) assuming j is positive.\nAnswer: j**(175\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 60539.93ms in microseconds?\nAnswer: 60539930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2962654785 + 48695.\nAnswer: -2962606090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6159.956 millilitres in litres?\nAnswer: 6.159956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n - 12. Let h be r(-8). Suppose 6*c = 3*c - k + 11, 0 = -h*c + 2*k + 18. Suppose 3*m + 3 = 6. What is the least common multiple of c and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23890069 and 973?\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*r = -200, -3*z + 4*r + 99 - 283 = 0. Which is smaller: z or 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (-4 - (4 - 6))) + (39 - -35 - 44)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 7*c**2 + 7*c + 7. Suppose -56*j + o = -57*j + 47, -5*j + 200 = -2*o. Let l(z) = z**2 + z + 1. Suppose 13 = -2*n + 1. What is j*l(r) + n*x(r)?\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 254. Let m = p - -256. Solve 0 = m*b + j + 18, -3*b = -6*b + j - 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -48e0c - 3?\nAnswer: -48e10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -11*i - 18*i + 396 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 834 = -80*q + 1474 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 1 + -41)*61\/(-122). Is 22 a factor of -2*3\/n + (-3708)\/(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -5*m**2 + 407825*m + 2447130 = 0?\nAnswer: -6, 81571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/40 + (-112347)\/(-270). What is the highest common divisor of o and 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 + 345703930 - 345703930.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.19, -1.1, 7\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 1:15 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.01 (b) 1\/17 (c) -2\/5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5975, 47810, 161387, 382586, 747287, 1291370, 2050715, 3061202?\n\"Answer: 5980*b**3 - 9*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 7:37 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 664 and 4344.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (23 + 2) - -35.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + 0*k + k)*(54 + 8 - 28) + (1 - 2 + 3)*(0*k - 2*k + 4*k) - 5*k + 3*k + k to the form j*k + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 - 105*a**2 + 280*a + 3120.\nAnswer: 5*(a - 13)*(a - 12)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -8*x**2 + 8*x + 11. Determine p(-2).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + (-3 + 1*sqrt(275) - -2*sqrt(275)*-5) + ((sqrt(275) + -2)*4 - (sqrt(275) + -1)**2*-4)).\nAnswer: -260*sqrt(11) + 4376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-4*(sqrt(190) - sqrt(190)*1 - sqrt(190))*4)\/(sqrt(1210)*-1*1))**2.\nAnswer: -24320\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*h**2 - 3269539 - 12*h + 3269541 + 0*h to z*h**2 + c + v*h and give z.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 5*d + 24 = 2*a, -2*d + 13 = 5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 8*f + 67*f - 5 + 25*f + 5 + 8.\nAnswer: 84*f - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 1 = 2*t - 5, 0 = 2*h. Let f = 3 + -1. Suppose f*r - 4*b = 13 + 9, 4*r - t*b = 24. Solve -c + 20 = r*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70718 + 70718 + 1445*j.\nAnswer: 1445*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z**3 - 6*z**2 + 2*z + 5. Let c(s) = -4*s**3 + 6*s**2 - s - 4. Let m(l) = -4*c(l) - 3*t(l). Suppose 22*i - 23*i + 7 = 0. Is m(i) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*p - 1589*p + 32441 = 1972*p + 141176 for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -25. Let j = b - 12.5. Put 0.1, j, 0 in descending order.\nAnswer: j, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -497.4 + -50.6. Let n = -547.9215 - d. What is n rounded to three dps?\nAnswer: 0.079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 3*v + 2*j + 100, 5*j + 106 = -3*v. Let z = 21 - v. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 + 25)*1\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7\/3 + 25\/12. Let h(w) = w**3 - 6*w**2 - 5*w - 11. Let v be h(7). Suppose -3*g + 0*g = -v*a, 4*g + 8 = -4*a. Which is smaller: i or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -5*a - 7 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -13, 0.89?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -3498, -8, -6.\nAnswer: -3498, -26, -8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*c**2 + 9*c - 8*c + c**2 - 26*c**2 to the form y*c + h + b*c**2 and give b.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bc11 - -28?\nAnswer: bc39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 125 + -122. Let d(a) be the first derivative of 4*a + 2\/3*a**b - 4 + 3*a**2. Solve d(t) = 0 for t.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 751 + 396 = 40*m - 244 + 111 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -1\/7 (b) -3 (c) 3 (d) 0 (e) 4\/303\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 2 - (-6 + 10 + 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 297238103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 6*d - 5. Let h be j(-5). Let a = -2383 - -611. Let x = -1772.2 - a. Sort 0.2, x, h, 4 in ascending order.\nAnswer: x, h, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 23*-2*1*2\/(-4). Let u(a) = -2*a + 49. Let g be u(x). Suppose 0 = 5*t - 0*c + 3*c - 419, -g*t + 5*c = -265. Does 39 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 15*u - 12. Let d be f(-14). Solve 6 - 16 = d*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccpyylcscyxl. Give prob of picking 2 y and 2 l.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 56*y + 8. Let c(f) = -138*f - 20. Let t(l) = -5*c(l) - 12*o(l). Let r(d) = 7*d. What is r(t(q))?\nAnswer: 126*q + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 9 + 3. Let i be 9 - 0 - (u + 3). Suppose -i*t + 14*t = 15. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-8)\/44)\/(10\/((-100)\/(-15)))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 + 9 = t. Suppose t*x - 54*x - 1139 = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 27.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1193215625?\nAnswer: 5, 7, 54547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1582352\/9 or -175816?\nAnswer: -175816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-1) - 2\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 236572*b**5 - 24*b**4 + 3367347*b wrt b.\nAnswer: 4731440*b**3 - 288*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/4 - 14\/(-4). Suppose -q - t*m - m = 17, -4*q + 3*m = -7. What is the units digit of q - 13\/2*-10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 15*x**2 - 30*x + 11. What is r(14)?\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57633.\nAnswer: 3, 19211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/4872 and 43\/137634.\nAnswer: 550536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/2 - 571710*j - 2286832.\nAnswer: -(j + 4)*(j + 1143416)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**6\/180 - f**5\/30 + f**4\/4 - 5*f**3\/9 + 5*f**2 - 23*f. Factor h(d).\nAnswer: -2*(d - 1)**2*(d + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*x**2 - 8*x**4 + 24*x**2 + (3 - x**2 - 3)*(2*x**2 - 48 + 48).\nAnswer: -10*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21.7379712 + -21.737. What is b rounded to 5 dps?\nAnswer: 0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*o**2 + 0*o**2 + 4*o**2 + (3 + 1 - 7)*(o**2 + o**2 - o**2) + (-2*o + 5*o - 2*o)*(5*o - 2*o - 2*o) + 0*o**2 + 0*o**2 - 2*o**2 + o**2 - 2*o**2 + 0*o**2.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1807, 3\/7, -0.3, -1, 4 in increasing order.\nAnswer: -1807, -1, -0.3, 3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**5\/5 + 102*b**4\/5 + 308*b**3 + 2060*b**2 + 6450*b + 7750.\nAnswer: 2*(b + 5)**4*(b + 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0\/(z*z\/((z\/z**(3\/5))\/z)))\/(z**(-15))**5 assuming z is positive.\nAnswer: z**(362\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 2*j - 1. Let b be l(3). Suppose -4*o + a = 2*a + 49, 25 = -5*a. Let p = b + o. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 7 + 2 + (-203)\/21. Which is the closest to -79? (a) 2\/5 (b) k (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -590*i**3 - 2855*i**3 - 220*i**3 - 743*i**3.\nAnswer: -4408*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-30)\/(j\/(j\/(j\/j**(2\/19))))*(j**(-9)*j)**(1\/35) assuming j is positive.\nAnswer: j**(-20697\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-53214)\/(-19005)*25\/455\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 21097 and -3?\nAnswer: 21100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -38*x. Let q(i) = 9*i**2 + 58*i + 1. Determine q(u(d)).\nAnswer: 12996*d**2 - 2204*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121 and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1118 + 2213 + 4*b**2 - 4*b**2 + 3*b**3 - 1067.\nAnswer: 3*b**3 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38252 or -38253?\nAnswer: -38253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-6))\/(4\/6). Let g = f - -4. Suppose g*j = -16 + 73. Calculate the greatest common divisor of 76 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2201*f**3 + 64*f**2 - 11*f + 144438287 with respect to f.\nAnswer: -6603*f**2 + 128*f - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 183698375 to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -2*k**3\/9 + 1328*k**2\/3 - 881792*k\/3 + 8538. Determine i, given that l(i) = 0.\nAnswer: 664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3791468263 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2297 by 6.\nAnswer: 2297\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2300\/23 - (1 + 3) is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 462\/49 - 3\/7. Calculate the greatest common divisor of 126 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 83279350 or -0.1?\nAnswer: 83279350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1223335 is divided by 211?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by (-2)\/16*-632 + 4 + 1.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -20652, -41341, -62030, -82719, -103408?\n\"Answer: -20689*m + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 984b - -b894?\nAnswer: 18412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1590087379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 602.554 and -361.4.\nAnswer: 241.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 5*k**2 - 1. Let l be i(-5). Let j = 49 + -48.8. What is the third biggest value in l, j, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 - 0.3. Let a = -1.1 - -1. Let g = f + a. Sort -0.3, 0.3, g.\nAnswer: -0.3, g, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven eighths of a day?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 6*p - 5, -5*n + 4*p = 4. Let s = -10 + 18. Let a = -7.8 + s. What is the third smallest value in a, -4, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 5*t + 3. Suppose 0 = -3*f - 3*a, -5*f = 2*a - 0*a. Suppose 5*b - 34 + 9 = f. Let v be k(b). Solve 2*l - o = 4*l + 9, v*l - o + 16 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-8)*2\/(-3). Let h(m) = -m + 3*m - 2*m + m**3 + 6*m**2 - 5*m**2 - 2*m + 1. Calculate the remainder when 1 is divided by h(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38554*n + 39078*n - 9222 + 1305 - 9375 = 0 for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/18*1320\/(-352)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, 28, -3\/5, 365, -4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.06 + 0.06. Let q = 11266 - 11265.6. Let x = -0.6 - -0.7. Put -6\/11, n, q, x in descending order.\nAnswer: q, x, -6\/11, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 2*l**2 - 4*l + 2. Let h be q(3). Let z(o) = 4*o**3 + 2*o + 3. Let v(s) = s**3 + s. Give h*z(j) + 2*v(j).\nAnswer: -2*j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 5*s - 5*s. Let p be b(5). Solve 5*z + 15 = 3*r, -5*z - 29 = -p*r - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*u**3 - 2 + 14*u + 3 - 5*u**3 + 0 as y + n*u**2 + c*u**3 + q*u and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 46?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 333 and 1143.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, i: 6, d: 1, y: 2, v: 3}. What is prob of sequence divv?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 - 40 - (-3 - (-1 - -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5605606 and 5290.\nAnswer: 644644690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(275) + 0 - sqrt(275) - 1*-3*sqrt(275) - (-2 + (-4 + sqrt(275) - sqrt(275))**2 + -3 + sqrt(275) + 2).\nAnswer: -15 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -165 or -241292?\nAnswer: -241292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 92 (b) 0 (c) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 - 4*i + 5. Let x(a) = -a. Let m(g) = -4*x(g) + y(g). Let o(b) be the first derivative of m(b). Let u(f) = -f. What is o(u(n))?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -379 less than or equal to -840?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5960 + 6095. Calculate the lowest common multiple of c and 150.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.98, 4\/7, 1\/7, -2\/11?\nAnswer: -1.98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 887 and -1502 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*a**3 - 39*a**3 + 85*a**3 - 3*a**2 + 3*a**2.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-5))\/((-4)\/(-60)). Let l be 4\/(-3)*b\/(-52). Is 0 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(81\/9))\/((-6)\/((-15)\/(-5))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + (sqrt(288) + (sqrt(288) - (2*sqrt(288) + -1)) - sqrt(288))*3)*3*-2.\nAnswer: -1080*sqrt(2) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -269 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/10 + (-6)\/(-10). Let x = 9 + 1. Let m = x - 6. Solve h + 1 = m*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**5\/10 + f**4\/12 - 431*f**3\/6 - 10437*f**2\/2 - 8750*f. What is the first derivative of h(m) wrt m?\nAnswer: -6*m**2 + 2*m - 431","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s + 4*s**2 - 3 - 5*s**2 - 4. Let m be j(5). Let n be -278 + 296 + (-5 + -21)*1\/2. What is the fourth biggest value in n, m, -0.1, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15, 26, 51, 96, 167, 270, 411, 596?\n\"Answer: s**3 + s**2 + s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -27\/7, 0, -1\/2, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k**(-17))\/k)*((k**(8\/7)*k*k)\/k)\/k)\/(k\/k**(-4\/5))**1 assuming k is positive.\nAnswer: k**(607\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 73 and 1048.3.\nAnswer: 76525.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.15 at most 2724?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 7*l**2 + 2. Let s be o(-7). Suppose -u = 4*d + 74, 0 = -2*u - s*u + 5*d - 233. Let p = -15 - u. What is the remainder when p is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and (-8)\/14 + (-4 - 4020\/(-28))?\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6*m - 17. Let c(r) = 13*r - 34. Let q(d) = 2*c(d) - 5*x(d). Let a be (16 + -17)*11 - -15. Let s be q(a). Is s > -1\/51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31\/42 + 2\/21. Calculate the common denominator of p and 2\/((24\/86)\/(-3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -1100110?\nAnswer: 1101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -13. Suppose -u - a = -5*u. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 120\/427 - -2\/427. What is the closest to 1 in 0.2, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1156209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*y = -11, 3*d - 1 - 16 = -y. Let h be 9\/6*(3 + -1). Suppose -3*t = -4*u + 2, -h*u = 3*t - 2*t - 8. Put d, 5, t in increasing order.\nAnswer: t, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*y - 61*y + 2269 = -3*i, -2*i = y - 1152. What are the prime factors of y?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**3 + 3*z**2 - 6. Let p(w) = 4*w**3 - 6*w**2 + 11. Give -11*g(n) - 6*p(n).\nAnswer: -2*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**2 + p**3 + 12 - 11*p**2 + 2*p + 6*p**2 + p. Let r be h(0). Calculate the highest common divisor of r and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - v. Let f be n(2). Solve -5*y = -w - 1, -2*y - 2 = f*w - 0*y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*n - n + 81 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0 + 10 = d, -3*w + 16 = 2*d. Suppose -w*u + 8 = -4*x, -5*u = 5*x + 13 - 43. Find the third derivative of 3*c**4 + 0*c**2 - c**u - 2*c**2 wrt c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*o**5\/11 - 998*o**4\/11 - 27406*o**3\/11 + 2145486*o**2\/11 - 12323592*o\/11 + 351864 = 0. What is o?\nAnswer: -54, 1\/3, 6, 33, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -268 - -1346\/5. Let o be (4 - -1)\/((-5)\/(-2)). Solve -2\/5 - 6\/5*q**o + m*q + 2\/5*q**3 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19101*t**2*x - 115774*t**2 wrt x?\nAnswer: -19101*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2193 + -1768. What is the lowest common multiple of o and 11?\nAnswer: 4675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q + 8. Let r be i(0). Let h be (-4)\/r - 1\/(-4). Let j = -1\/50 - -103\/150. What is the second biggest value in 0.2, h, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6963 is divided by 6897.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -11*z**2 - 5*z**4 + 1682*z - 3358*z + 19*z**3 + 1673*z = 0?\nAnswer: -1\/5, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f - 25 + 12 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 2*y + 34, 0 = 2*r - 4*y - 9 + 1. Let n be 6\/(-15) + 24\/r. What is the third derivative of -302*v**n - 2*v**3 + v + 315*v**2 - v wrt v?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -1498.1.\nAnswer: 5992.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-3))\/(3\/12). Which is the nearest to -2\/5? (a) 3 (b) l (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4301)\/(-33) - 3*2\/18. Solve -34*a + d = -8*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -5*y - 20. Is 7 a factor of y\/(-15) - (-508)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 31*z**2 + 2*z - 1. Let b be w(1). Let t(g) = 9*g**2 - 5*g + 4. Let p be t(4). What is the greatest common divisor of p and b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 24 = 3*b. What is the remainder when 6 is divided by (-4)\/(-6) + 40\/b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-522)\/(-60))\/(-29)*(-8)\/(-6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 23*r**4\/24 - 7*r**3\/3 - 2*r**2 - 41*r. Does 17 divide v(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + 20. Suppose -2*u - 3*s + 15 = -27, -4*u + 3*s + v = 0. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -182*h - 52. Let y(p) = 20*p + 6. Let d(m) = -3*q(m) - 26*y(m). Let f(n) = -7*n**2. Calculate f(d(j)).\nAnswer: -4732*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 1:31 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008066 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/14 and -37\/254.\nAnswer: 1778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/2480*-8)\/1.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19066722 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**4 - 42*x**4 + 16*x**4)*(-3*x + 0*x + x).\nAnswer: 58*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5763304?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 520*p + 9117. Give i(-17).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45 * -77970.\nAnswer: 3508650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3333 and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -53, -86, -107, -110, -89?\n\"Answer: f**3 - 40*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*n**2 - n*s + 8*n - 196*s wrt n?\nAnswer: -10*n - s + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j**3 - 6*j**2 + 2. Let m(u) = -2*u**3 + 5*u**2 - 5. Let q(o) = -4*o**3 + 5*o**2 - 6. Let c(y) = -4*m(y) + 3*q(y). Give -6*c(r) + 5*p(r).\nAnswer: 4*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 53021, 53334, 53849, 54560, 55461, 56546, 57809?\n\"Answer: -i**3 + 107*i**2 - i + 52916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53313504 (base 6) in base 4?\nAnswer: 11332012300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4 - 2*g**2 - 2 - 2 + 3 + 3*g + g**3. Let l be y(2). Let f(u) = 60*u**2. Does 15 divide f(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2227069 is divided by 698.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 608 (base 13) to base 15.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43)\/((-2709)\/420)*(-342)\/(-38)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -96 + 226. Let q = 210 - u. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-12)*-2 - 75\/(-25).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 1\/77 (c) -3 (d) 0 (e) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 12. What is the second derivative of -122 - 23*l**s + 241 + 17*l - 119 wrt l?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247102 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1032, 5735, 18498, 43353, 84332, 145467?\n\"Answer: 672*n**3 - 2*n**2 + 5*n + 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 - x + 1. Let w(r) = -2*r**2 + 2*r - 4. Let h(c) = 4*j(c) + w(c). What is h(2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -192 - -237. Let l be 1*15*9\/g. Solve m = 2*m + l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5233046 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -499, -120, 0.07, 0.5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n + 47. Let r = -99 + 101. Let l be 11 - (3 + (1 - r)). List the prime factors of a(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8 + 22)*((-84)\/280)\/((-1)\/4). Solve 5 = d - 2*s, 0 = -41*d + l*d - 2*s - 11 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9599095 and 1745290.\nAnswer: 19198190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 440575253?\nAnswer: 440575253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 18 - 10 = 0. Suppose -3*v + 3*x - 22 = -g*v, 3*v + 5*x = 86. List the prime factors of v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -836570, 5, 0 in decreasing order.\nAnswer: 5, 3, 0, -3, -836570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*j - 12 = -41, 32 = 4*q + 2*j. Solve -3*d + 3 = 0, -5*a = 2*d - q*d - 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.935147 micrograms to nanograms.\nAnswer: 8935.147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l + 207*l**3 - 12*l**5 - 207*l**3 wrt l.\nAnswer: -240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 443008*s + 83471 wrt s.\nAnswer: 443008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 11. Let w(q) = q + 1. Let v(z) = -2*z**2 - 6*z - 5. Let f(x) = x**3 + 6*x**2 + 18*x + 14. Let a(i) = 2*f(i) + 7*v(i). What is s*w(r) - a(r)?\nAnswer: -2*r**3 + 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - (-25 + 4 + 1) - 75) + 9?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 8, 4, 0.3, 2\/9, 15.9 in decreasing order.\nAnswer: 15.9, 8, 4, 0.3, 2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2 = 4. Suppose -14*v + 168 = 42*v. What is the second derivative of 11*j - v*j**3 + 0*j**m - j**3 - 26*j wrt j?\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 20466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 4*h - 132 = 13*h for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 4*g**2 + 7*g + 11. Let i = -9 + 4. Let p be y(i). Suppose -j + 7*j - 30 = 0. Solve p + j = -3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 379461 - 379479 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 13 = l, -5*v + l - 5 + 34 = 0. Let w = -17 - -10. Let h = w + 12. Solve -3*m - h*a = -9, -3*a - v = -6*m + 4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/36036 and 83\/335244.\nAnswer: 11063052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.39832122 rounded to 4 decimal places?\nAnswer: 1.3983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 675410093 to the power of 1\/3, to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55.5 - 55.8. What is the smallest value in u, 0.4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 + 20122?\nAnswer: 20001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4500\/(-342) - -13)*25\/(-430) and -11\/516?\nAnswer: 9804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 845 > 841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 465746633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -31*k + 52. Let g(n) = -5*n**2 + n**3 + 2*n**2 + 13*n**k + 14*n - 19 + 6*n**2. Give g(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lu when two letters picked without replacement from {l: 8, e: 1, u: 5, x: 3, s: 3}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4892*r**2. Let l(k) = k**2. Calculate z(l(b)).\nAnswer: -4892*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6136*z + 497071. Calculate w(-81).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -4, 139 in decreasing order.\nAnswer: 139, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4665005718.\nAnswer: 2, 3, 777500953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4637, 9290, 13943, 18596, 23249?\n\"Answer: 4653*l - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -t - 10, 5*t - 8 = -4*i + 2*t. Suppose -i*a = -4, 5*a - a - 40 = -4*k. Calculate the lowest common multiple of 10 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 539 a factor of 83111105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 - 54. Suppose -2*n - 4*v + 4 = 0, -4*v = n + v + 1. Find the second derivative of -k - k**z - 26*k**n + k**3 + 31*k**4 wrt k.\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36.01789 - 0.01789. What is the biggest value in 16, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3226*k - 5961. What is the thousands digit of m(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1369)\/(-8) + (-3)\/24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 > 64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 1. Suppose 3*b + 6 = -2*s + 19, -2*s = 4*b - 16. Let j(z) = -1 + q - s*z. Let u(k) = k**2. Determine u(j(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3855829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(77) + 1*sqrt(77)*2 + sqrt(77))*1*-5)\/(4*sqrt(539) + sqrt(11) - (sqrt(11) - (sqrt(110)\/sqrt(2))\/sqrt(5))))**2.\nAnswer: 11200\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 + -21 + 44 - -42.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*y = 0, -5*b - 4*y = -3*y. Suppose -5*v - 3*k + 4*k + 10 = b, 3*v + 2*k - 19 = 0. Suppose 15 + v = 3*p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131 - ((-167 - -81) + -9)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 4 = 3*i, 13*d - 6*d - 16*d - 23*d - 3*i + 332 = 0 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7124147629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 177817186765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from neq. Give prob of sequence eq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3875*x - 11. Let n(i) = -14*i + 2. What is -g(s) - 5*n(s)?\nAnswer: -3805*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 - 4*r - 5. Calculate j(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 32. What is the greatest common divisor of p and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -958*r - 20. Let y be m(10). What is y rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -19*m**2 - 185*m + 376. Give t(2).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -11. Suppose u + 0*u = -c*j + 11, j + 13 = 3*u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-164))\/(4\/(-8693)). Let i = 1\/656 - p. Find the common denominator of i and (-1 - 86\/(-32)) + 1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14 - -5) + 8\/(-2). What is the derivative of 7*y**2 + w - 4 - 4*y**2 wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-123 - -149) + (-1 - 12).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124984 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -161*l**6\/60 + 7*l**5\/24 + 31*l**4\/24 + 15*l**2. Let b(p) be the second derivative of g(p). Is b(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = -95*b + 93*b - 13 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 574 - 565. Let c be 21 + (5 - (2 + 0) - s). Solve 26*f = 23*f - c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00022255 to 5 decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(306)\/sqrt(6))\/(2*3*sqrt(3)) + ((sqrt(306) - -2*sqrt(306))\/sqrt(9))\/sqrt(2)*-1 + -2)**2.\nAnswer: 14*sqrt(17) + 849\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 30. Let v be (-2)\/h*(16 + 70). Let t be (v - (-3)\/(-1))*-10. Round t to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 44. What is the highest common divisor of r and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/6*(-2 + 4). Calculate the highest common factor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19.9 - -19.9178. Round v to three decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*a - 49, 2*a + 4*f - 4 = 30. Suppose 5*p = a*p. Let n(o) = p*o - 4*o + 6*o + 8 - 6*o. Determine n(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 3, 15\/901?\nAnswer: 15\/901","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/7)\/((-88)\/16 - -5)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3341 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 7:25 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*g + 206 + 218 = 0, 2*m - g = 180. Let f = m - -37. What is the greatest common factor of 10 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 363 divided by 4\nAnswer: 363\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (0 - 3) + (180 - 192)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 (base 13) in base 5?\nAnswer: -444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -3)\/(1\/(-5)). Which is the closest to 2? (a) 1\/8 (b) -0.2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1320118972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 5*y - 0*y - 178, 0 = 2*y + 5*h - 67. Let j(s) = 36 - y + 2*s. Let t(g) = g**2. Give j(t(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -16\/15*f**6 - 31*f + 25\/12*f**4 - 3*f**2 + 1\/20*f**5 + 0 + 0*f**3. What is the third derivative of r(q) wrt q?\nAnswer: -768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1428418, -1428398, -1428364, -1428316, -1428254?\n\"Answer: 7*u**2 - u - 1428424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58763 is divided by 493?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 14 = -i, -n + 45 = 5*i + 8. Find the second derivative of -20*p**2 + 28*p**2 + i*p**2 + 26*p + 44*p**2 wrt p.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*i - 76 = -76 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -1 - 2. Suppose -z*r = 2 - 11. Suppose -2*b - 5*u = 1, -2*b - u = -r - 0. Solve 0*q + 32 = -5*c - 3*q, 2*c - b*q = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(4\/(-32)) - (0 - 3). Let i(u) = -3*u**2 + 33*u - 1. Let m be i(c). Are -1\/56 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-96 - 53 + h + 59)*(1 - 1 + 2*h) in the form p*h + x*h**2 + z and give p.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0.2 (b) -4 (c) -1\/48 (d) -1\/4 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + 31\/((-186)\/(-18)). Let x(u) = -u - 2. Let a(v) be the first derivative of -1\/2*v**2 - 1 - v. What is d*x(c) + 3*a(c)?\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.91 - -0.41. What is the third smallest value in 0.02, l, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5 + 0 = 0, 4*u = -5*m + 35. Solve 4*d + 3*z - 28 = 0, m*d + 2*z - 7*z = -8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1215\/(-36))\/(-27)*2\/10.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -315, -609, -903, -1197, -1491, -1785?\nAnswer: -2079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and -171.3?\nAnswer: 171.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7503\/8 + -5814809\/6200. Let j = x + -3907\/12400. What is the common denominator of (-164)\/(-24) - (-2 - 2) and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*j + 1075 = 0, -5375 = -5*a - 13*j + 11*j. Suppose r - 215 = -3*n, -5*r + 3*n + a = 7*n. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 109 = -1643. Calculate the remainder when a is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*sqrt(91) + sqrt(91))\/(-2*sqrt(847)).\nAnswer: -5*sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3314 + 3358. What is the remainder when 650 is divided by a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z**2 + z - 1. Let s be p(-1). Let c(g) be the first derivative of 0*g**s + 9\/4*g**4 + 0*g**3 - g + 2. What is c(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10024 and 280.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from {o: 8, s: 1, q: 2, e: 5, u: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1656, -2228, -3176, -4500, -6200, -8276?\n\"Answer: -188*k**2 - 8*k - 1460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35 - 42?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1692\/16*(-7 + 6\/2). What is c rounded to the nearest ten?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428 is divided by 214?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/(-14))\/(40\/(-70)). Suppose -5*u - 4*i + 40 = i, 0 = -5*u + i + 40. Suppose -5*n - 4*z = -188 + 24, u = -r*z. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, -0.3, 4, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -5\/3*y**3 + 0*y + 57 - 5*y**2. Find h, given that f(h) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 3*m + 30, 41*k - 40*k = 3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 28. Let g(s) = 5*s**2 - 6*s + 8. Let v(x) = -9*x**2 + 10*x - 7. Let f(a) = -a**2 + a. Let y(n) = 5*f(n) - v(n). Determine k*y(i) - 5*g(i).\nAnswer: -i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - -29) + (2 + -3 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3161*w - 6584*w - 4376*w + w**2.\nAnswer: w**2 - 7799*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 5:25 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -23*n**8\/168 - 7*n**4\/3 + 23*n**2. What is the second derivative of k(p) wrt p?\nAnswer: -920*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47250 and 1134.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 2*s**2 - 4*s + 2. Let z(x) = x**2 + 10*x - 27. Let p be z(-12). Let l(j) = -2*j - 3. Let r be l(p). What is w(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 9 + 3. List the prime factors of (-3 - 80\/(-12))*k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.015 + 4.385. Let l = u - 4. Let d = -1\/800 - -1603\/2400. Put -2, d, l in descending order.\nAnswer: d, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/175635 and -53\/70254.\nAnswer: 351270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -7 - 210*h + 7 + 299*h. Let y(a) = 2*a**2. Give y(f(v)).\nAnswer: 15842*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 2*a. Suppose a = 2*r + 4*i + 50, i = -5*r - i - 85. Let u be 1446\/15 + 6\/r. What is the highest common factor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*d*h**4*s - 2*d*h**3 - 3*d*h*s - 7*d + 841*h**2 - 7431*h wrt h?\nAnswer: 240*d*h**2*s - 12*d*h + 1682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -32 (b) 14 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 54 = 2*v - 70, -7*v - 5*b + 26 = -3*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83817 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 1416 - 1391 = 0. Let u(z) = 3*z + 6. Let t(a) = -4*a - 6. Give w*u(i) - 4*t(i).\nAnswer: i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 173*a**4 - 61*a**4 - 61*a**4 - 53*a**4 - 4*a**3 - 753*a**2 as h*a**2 + i*a + x*a**3 + y*a**4 + r and give h.\nAnswer: -753","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 7*c + 15. Let y be a(-4). Solve 2*b = 2*k - 6, -y*b + 5*b = k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10.1 in -0.7, -3\/32, -5?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(-1\/8))\/i)\/(i\/(i*i\/(i**(-4)\/i)))*i\/(i**4*i)*i**4*i assuming i is positive.\nAnswer: i**(65\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 10:38 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2\/q)\/q**(-3))\/(((q**(1\/4)\/q)\/q*q)\/((q\/(q*(q*q*q**(2\/9)*q*q)\/q))\/q*q*q))*(q**(-1\/4)\/(((q\/(q\/q**(-1\/4)))\/q*q)\/q))**(-5\/12) assuming q is positive.\nAnswer: q**(19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 0. Let x = -0.90581 - -0.50581. What is the nearest to r in -1\/4, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -213b7 (base 12) in base 8?\nAnswer: -125373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - ((-155)\/124 + (-1134)\/8). Let v = c + -141. Solve 3*f + 3 = -5*p, 5*f - 4*f + v = -2*p for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rorrwwoworwroo. What is prob of sequence wrrw?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 193517121?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxxz. Give prob of sequence zg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/227 + 11112\/2497. Let p be (-5)\/(-1*(-2 + 1)). Find the common denominator of (16\/p)\/((-6)\/(-9)) and c.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 11:53 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**5\/3 - 60*p**4 + 1920*p**3 - 23040*p**2 + 1327104 = 0. What is p?\nAnswer: -6, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -6*z**2 + 32*z - 4. Let n be i(4). Let s(q) = q**2 - q + 14. Let r be 2\/12 + 188\/24. Let d be s(r). Calculate the highest common factor of n and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115271430?\nAnswer: 2, 3, 5, 3842381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -13*f. Let g(j) = 14*j + 5. What is g(v(m))?\nAnswer: -182*m + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3201261 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.233 times -5?\nAnswer: -1.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*3\/12*10\/130*338?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-104)\/13 + -1 + 0. Let u(c) = c**3 + 13*c**2 + 23*c - 11. Is 14 a factor of u(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 21823750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13049 take away -0.2?\nAnswer: -13048.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t*t\/t**(-3\/4))*t))**(15\/7))**(-29\/4)\/(t**7*t**0*(t*t**(-5))\/((t\/(t\/t**(-3\/5)))\/t*t)) assuming t is positive.\nAnswer: t**(-2463\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 11) to base 5\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 t when four letters picked without replacement from {u: 5, t: 3}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**36*z**31)\/(z**(-5))**(3\/23) assuming z is positive.\nAnswer: z**(-77\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -576, -2041, -3960, -5907, -7456, -8181, -7656?\n\"Answer: 71*r**3 - 653*r**2 - 3*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.07*-0.2\nAnswer: -0.214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 15*n + 60. Let z be h(-7). Suppose -i = -z*i + 81. Let j be (-1 - 3 - -1)*-3. Calculate the greatest common divisor of i and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 15*g - 14*g - 1 - 6 + 0. Let d be (2 - -1)\/(1\/3). What is n(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-10 + -2 - -13) + -9 + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3381307309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -9*z**2 - 8*z**3 - 5*z - 17*z**3 + 3*z**3 + 2*z + 5*z**3. Let c(v) = -4*v**3 - 2*v**2 - v. What is 9*c(m) - 2*p(m)?\nAnswer: -2*m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001010 + 101110010?\nAnswer: 111111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/22900 and -63\/1433540?\nAnswer: 7167700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -599*a + 4332 = -5676 - 1275 + 501 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - 11) + 32 + -22?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(252)\/sqrt(4))\/sqrt(9).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.107 - 0.407. What is the third biggest value in -0.2, f, 10?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/16 of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2990133 divided by 996711?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13618278*o**5 - 118734*o**2 + 11*o wrt o.\nAnswer: -817096680*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Put -3, -76, -5, -1 in decreasing order.\nAnswer: -1, -3, -5, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-198)*(-9)\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 9*p - 97. Let r(x) = -6*x + 67. Let o(m) = 5*f(m) + 7*r(m). Calculate o(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000367337 to 7 dps.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 778826.\nAnswer: 2, 23, 16931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4\/7 + 304*g**3\/7 = 0. What is g?\nAnswer: 0, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpilcqcclcllclccip. What is prob of picking 1 q, 1 l, and 1 i?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 8*z - 7*z + 2*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**8\/1680 + m**7\/140 + m**3 + 2*m**2 - 72. Let a(j) be the third derivative of z(j). Factor a(t).\nAnswer: t**3*(t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1111 and 761237?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11 - 0 - ((-3 - -24) + -10). Is i greater than or equal to 4\/171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5971778927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 15.235 times -15.65\nAnswer: -238.42775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 224*i + 17 - 416*i - i**2 + 189*i. What is z(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4\/7 - 126*g**3 + 8520*g**2\/7.\nAnswer: 3*g**2*(g - 284)*(g - 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -18670 divided by 2?\nAnswer: -9335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**3 - 8*s**2 + 10*s + 13. Let c be t(-7). Suppose -c = -3*m + 4*o - 2*o, -4*o - 312 = -4*m. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -20, 1, 26, 55?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 q when two letters picked without replacement from {g: 1, q: 5, m: 2, j: 1, u: 1}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-5)*10\/4. Suppose 0 = l*g - v - 156, -84 = g - 3*g - v. What is the highest common divisor of g and 360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78894 is divided by 78875.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 5, 6 in descending order.\nAnswer: 6, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4784 and 6992.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + 65*t + 250 + 326 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1938879?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**3*z - 5*p**3 + 2*p**2*z + 497*z + 886 with respect to z.\nAnswer: p**3 + 2*p**2 + 497","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/190*2)\/((-2)\/(-4))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -154157 * -3\nAnswer: 462471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/5 in -0.1, -2\/7, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -380 + 356.5. Let z = -23.49999633 - j. What is z rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009872 rounded to four decimal places?\nAnswer: 0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 336 = 4*n. Suppose n = -22*z + 19*z. Suppose 3*c - 228 = 7*c. Which is bigger: c or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 - (-3 + 0) - (-138 - 7)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 + -94. What is the nearest to -1 in 0.1, n, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*1*sqrt(304) + -2))**2 + -5.\nAnswer: 512*sqrt(19) + 19515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.37 in 1\/4, 44, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 468012 or 468022?\nAnswer: 468012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29872 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.7 + -1.2. What is the closest to -0.3 in -7, t, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 6*n - 1. Let q be l(-5). Suppose -4*i - 1 + 5 = 0. Solve -i - 3 = q*g - 3*j, -g - 4*j = 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 1. Let u(c) = -2*c**2 - 3*c + 3. Let t be (5\/15*-3)\/1. Suppose -f = k - 4, 5*f + 0*k = k + 20. Determine f*a(v) + t*u(v).\nAnswer: 2*v**2 + 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45616\/(-6048) - (-16)\/2 and -157\/126?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -0.5, 12\/2401, 81.\nAnswer: -0.5, -1\/5, 12\/2401, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 + 5. Let p(g) = 4*g**2. What is t(p(w))?\nAnswer: -32*w**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -154555050 (base 7) in base 5?\nAnswer: -10133412102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 10:59 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 43162368 divided by 3596864\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 550 + -545. Let o(i) = 7*i**3 - 5*i**2 + 10*i - 8. List the prime factors of o(z).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.52261l in millilitres?\nAnswer: 78522.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - -29. Suppose -4 = -8*t + k. Suppose -t*b + 2*f + 12855 = 0, 5*b - 3*b - 5113 = -5*f. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*d + 62*d - 23531*d**2 - 18181*d**2.\nAnswer: -41712*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**2 + 0*d**6 + d**6 + 5*d**6 + 0*d**6 wrt d.\nAnswer: 720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + (sqrt(1008) - 2*sqrt(1008)))**2*-2.\nAnswer: 10080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1227078722?\nAnswer: 2, 197, 491, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*r - 10 - 36, -3*r = 3*v - 36. Let f = r + -11. Solve 4 = -f*y - 11 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10079.45g to kilograms.\nAnswer: 10.07945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.3, 1\/8, 43, -1137, 6\/7 in decreasing order.\nAnswer: 43, 5, 6\/7, 0.3, 1\/8, -1137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/53 and -29\/1149252?\nAnswer: 1149252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -29*v**2 - 32*v + 2. What is k(-3)?\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -5*l**2\/6 - 3395*l\/6 - 3385\/3 = 0.\nAnswer: -677, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76 by -122686.\nAnswer: -38\/61343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 12 = 3*s. What is the remainder when -11*(1 + (-168)\/88) is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/10)\/(211\/(-30) + 7). Let x(a) = 9*a - 72. What is the smallest common multiple of 8 and x(t)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*g = -108, 3*g = d + 2*d - 81. Suppose -d*b + 26414 + 2071 = 0. List the prime factors of b.\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3953572, -3953428, -3953284, -3953140, -3952996?\nAnswer: -3952852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1606308532 + -0.08597.\nAnswer: 1606308531.91403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 32, 34, 38, 44, 52, 62?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3\/132)\/((-1)\/274) - -3 and -53\/194.\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000391583 to 5 decimal places.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1532 + -1419. Suppose 7*l = 3*l - 2*u - 10, 0 = -3*l - 5*u - 25. Suppose l = 4*b - 55 - r. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 3*k + 71, 6*k - 6476 = -3*y - 6593 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5504708300?\nAnswer: 2, 5, 7, 13, 37, 16349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilometer in meters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -8*o + 12. Sort 5, o, 4, -4 in descending order.\nAnswer: 5, 4, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*x + 16 + 4 = -100*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 4*v - 7. Let k be x(5). Let l = -3050 - -3045. Let f be 1\/(-3) - 2\/6. Which is the nearest to f? (a) k (b) 2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -5, 8628 in decreasing order.\nAnswer: 8628, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85 - -43. Suppose -63 + 74 = -11*z. Let u(b) = 2*b**3 + 3*b**2 + 3*b + 1. Let x be u(z). Sort h, 1, x in descending order.\nAnswer: 1, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 525175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 187 divided by 17\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -2786?\nAnswer: 2781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 1656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 7*a**4\/4 - a**3\/3 + 3*a**2\/2 - 2*a. Let q(b) = b**3 + 7*b**2 - b - 5. Let n be q(-7). Is h(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 3*j - 69, -2*j - 2*k + 6490 - 6454 = 0 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27473893.\nAnswer: 521, 52733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 501720 and 1139040?\nAnswer: 42144480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.094 - -0.094. Let l be 2\/(-3 - 18\/3). Which is the second smallest value? (a) l (b) o (c) -0.2 (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -5 (c) 6.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence feup when four letters picked without replacement from eqqefpu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 319491.3 (b) -0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1048)\/(-393))\/(20\/(-6))*2*-5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -710 - -1139. Let t = 767 - r. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -970 divided by -2\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 29*w - 411. Calculate q(-8).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105765 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 1. Let q(l) be the third derivative of -l**4\/24 + 2*l**3\/3 + 48*l**2 - l. Calculate q(o) + 5*u(o).\nAnswer: 4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-40 - -49) + (-3 - 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10653 + 10653.6. Which is the nearest to 1? (a) -14 (b) -3\/8 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a**2 + 21*a**2 - 4*a**2)*(-2 + 2 - a) + 4*a + a**3 - 4*a to j + r*a**2 + l*a**3 + h*a and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - 2*b**2 + 5*b**2)*(-3 + 2*b - 1 + 0*b)*(-4*b + 2*b + 4*b).\nAnswer: 8*b**4 - 16*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 17*o + 1054. Let m be i(-62). Let f(t) = 1. Let p(q) = -q - 1. Let l = -2 - -1. Let g(s) = l*p(s) + 2*f(s). Give g(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 154240365 + 0?\nAnswer: 154240365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in years?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -436.94 - 10.06. Let k = -447.00000639 - h. What is k rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102 - -98. Which is the fourth smallest value? (a) -0.5 (b) z (c) -3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 3*a - 3*a + 17.\nAnswer: a + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 296973 times 105.8\nAnswer: 31419743.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 643*v - 658*v + 68550. What is the lowest common multiple of v and 110?\nAnswer: 50270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 164.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 4:14 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 120, 119, 118, 117, 116?\n\"Answer: -s + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + -36?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3*x)*((1 + 0 + 1)*(1 + 0 - 3) + 3 - 2 - 4) - 4*x + 5*x + x.\nAnswer: 23*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0*k - 18. Let o = -5 - k. Solve -4*w = -4*m + o, -m = -4*m - 2*w - 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/30 + 3\/2. Let d be -1 - -1 - 68\/(-2). Suppose -5*o - 7 = -k*c - d, 2*o = -3*c + 7. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, l: 9}. Give prob of sequence vl.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = a + 17. Let u(m) be the first derivative of -1\/9*m**3 + 0*m**2 + 0*m**4 + 0*m + a + 1\/15*m**5. Factor u(q).\nAnswer: q**2*(q - 1)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 0.1 (c) 579\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 151*f - 34 = 149*f, -5*r - 4*f + 50 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -0.6, 2, 2\/141, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 8*m + 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 + 5*h**3 + 17*h - 3*h**3 - h**4 + 20*h - 43*h as x + g*h**3 + i*h + s*h**4 + w*h**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 5 = -4*c. Suppose 33 = 3*w - 3*h, -3*w - c = -4*w + 2*h. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -70565, -141117, -211671, -282227?\n\"Answer: -c**2 - 70549*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -59*z**3 + z**2 + 2*z + 1. Let m be (-4 - (-42)\/9)*3\/(-2). List the prime factors of g(m).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbmhy. What is prob of sequence ym?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 + q. Let a(m) = 3*m**2 + 66*m. Calculate -a(b) + 2*t(b).\nAnswer: b**2 - 64*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand h + 2*h**3 - h + 19*h**3 - 9*h**3 + 16*h**3 + (-5*h + 5*h - 2*h)*(-h**2 + 0*h + 0*h).\nAnswer: 30*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, p: 1, s: 2, y: 2, h: 1}. What is prob of sequence sps?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 143 and 22077.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 24501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 5. Let b be m(3). Suppose -w = b*w - 9. Let j = 2 + 2. Solve -x + j*x = w for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -3*d**2\/4 - 705*d\/4 - 20301\/2 = 0.\nAnswer: -134, -101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 61419928 rounded to the nearest one hundred thousand?\nAnswer: 61400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6540280 rounded to the nearest 10000?\nAnswer: -6540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -13. Suppose v*c - 1625 - 979 = 0. Let x be c\/98 - 3\/7. Solve -3 = -3*b, 0*b - x*b + 4 = -3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3588475 and 225.\nAnswer: 32296275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1021 (base 3) to base 15.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (595 + 581 - 1094)*(3*r + 2 - 2) + 21*r - 60*r + 21*r + r - r + 5*r in the form s + p*r and give p.\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 less than 3.898?\nAnswer: -13.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -485.4 - -489.4. Which is the nearest to 0? (a) -12 (b) q (c) 1\/3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-56))\/((-20)\/((-406720)\/(-31))).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -111100011?\nAnswer: 111100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 36*q - 41*q - 25 = 0, -w - 3*q - 5 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*d + 4*k, -5*d + d - 2*k = -6. Suppose -d*h + 13 - 5 = 0. Let g = 0.1314 - 0.0314. Sort 0.2, 0, h, g in increasing order.\nAnswer: 0, g, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 + 25*h - 9944.\nAnswer: (h - 88)*(h + 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 268491790011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121618 is divided by 295.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.39, -2, 5 in increasing order.\nAnswer: -2, 0.39, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.2 (b) 26 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1014 <= -116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -202.5 - -203. Put l, -2, -3 in increasing order.\nAnswer: -3, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**3 - y**2 - 2*y + 2. Let n be l(2). Let d be 32\/(-6)*12\/8. Let o = n + d. What is the least common multiple of o and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1624\/87)\/((-693)\/(-378) - (1 + 1\/2)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30833616.\nAnswer: 2, 3, 11, 23, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 2\/(-2) - 1. Calculate the remainder when 30\/3 + b + 2 is divided by (155\/62)\/((-2)\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -8. Which is the smallest value? (a) d (b) -1 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30141*k**2 - 45895 wrt k?\nAnswer: 60282*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**5\/60 - f**4\/24 + f**2\/2 + 2*f. Let a(t) be the first derivative of n(t). Determine i, given that a(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8867 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -511 (b) -1\/5 (c) 5 (d) -24 (e) 0.4 (f) -0.35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 307\/3 or 102?\nAnswer: 307\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/4 and 65\/694.\nAnswer: 1388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c5 + -2?\nAnswer: c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -11*n + 11. Let m(u) = -5*u + 5. Suppose -2*t - 49 = -5*x, t = 7*x - 2*x - 47. Calculate x*m(b) - 4*o(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -12. Let g = q + 5.7. Let n = 0.3 + g. Which is the second smallest value? (a) 3 (b) 0.1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -7*z + 7 - 3*z**2 + 7*z**2 - z**2. Let v(f) = -f**2 - 10 + 3*f + 3 - 1 + 5. Suppose -w - 4*w = 35. What is w*v(b) - 3*h(b)?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -709 by -62643.\nAnswer: 709\/62643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -481064\nAnswer: -3\/481064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -0.03417.\nAnswer: -0.003417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 19093.2633 to the nearest one hundred.\nAnswer: 19100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/2 + (-6)\/11 + (-1410808)\/(-308) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 k, 1 b, and 1 x when four letters picked without replacement from {b: 3, e: 4, x: 2, k: 1, n: 2}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 8663.6294 to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4649*-0.3\nAnswer: -1394.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (621*r**2 - 625*r**2 - 3*r**3 + 5*r**3)*(-2*r**2 + 0*r**2 + r**2).\nAnswer: -2*r**5 + 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7*(-3)\/(-42))\/(3\/(-2)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -925244, -925270, -925296?\nAnswer: -925322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.013, -13935, 0.2?\nAnswer: -13935","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 8, -4*v - 8 = v - 19*i + 17 + 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -47, -84, -139, -218, -327, -472, -659?\n\"Answer: -y**3 - 3*y**2 - 21*y - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 52008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 849 a factor of 414345599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 12:00 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2629)\/(-6) + 2 - (-59)\/(-354). What is the greatest common factor of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -17. Suppose -3*i + k*i = 2*w + 6, 0 = 5*w - 5*i. What is the units digit of (1 + w)*(-8 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*i + 81, n = -2*n - 5*i - 84. Let c be -41 - (-2 + 6)\/2. Let z = n - c. What is the remainder when z is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/69*1*-1?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2858 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3) - 1\/2*0\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1725 - 1723.921. Let o = 0.059 - d. What is o rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17415\/22 - 793. Calculate the common denominator of 17\/6 and g.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52\/(-72) - 4\/(-18)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 287785, -1, -38 in descending order.\nAnswer: 287785, -0.5, -1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0 (c) -3 (d) 1984 (e) -89\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 10491.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.49 + 1.68. Which is greater: a or -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 150\/21 - 7 - 1?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 2*g - 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -608 - -652. Calculate the remainder when -3*5\/15*(5 + -102) is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 1. Suppose 0 = r*f + 3*v - 0*v - 18, 3*v - 3 = 3*f. Suppose 0 = -3*y - 3, -3 = -3*x + 2*y + 11. Solve -1 = f*d + 2*u, 0*u = d - x*u + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h**2 - 72*h + 72*h)*(-1 - 13*h + 6*h - 14*h) to the form j*h**2 + n*h**3 + r + f*h and give n.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + l + 20 = 2*l, -3*l = -15. Suppose 6 = m*o - 4*o. Let a be (o\/(-6))\/(2\/22). Calculate the greatest common divisor of 22 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -1648, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/(-22))\/(2\/(-16))*(-3)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -62*z + 227450 - 14108. What is the highest common factor of z and 744?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 274\/5 = 54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - -4*sqrt(13)*6)**2 - sqrt(637)*-4.\nAnswer: 28*sqrt(13) + 8125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81\/18*2\/(-12).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, j: 1, g: 4, y: 5, h: 1, s: 3}. What is prob of picking 2 q and 1 s?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - 2)*-1 + 7. What is the greatest common divisor of r and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-415)\/(-8))\/(-5) - (-69)\/184) + -2 + 1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u**2 + u + 7. Suppose -2*l - 14 = -3*l. Let n(c) = 24*c**2 - 4*c - 34. Let g(v) = l*k(v) + 3*n(v). Let g(x) = 0. What is x?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -133 and -42\/17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 + 5976*r + 89415.\nAnswer: (r + 15)*(r + 5961)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15254667089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/13)\/z**(-1\/2))\/((z*z**4)\/(z\/(z*z**(-1\/2))*z)) assuming z is positive.\nAnswer: z**(-37\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 - 22 = -18*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.5 (b) 0.233 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g**2. Let b(w) = 3*w. Let m(t) = -t. Let q(c) = -3*c + 2. Let k be q(2). Let d = -4 + 3. Let o(l) = d*b(l) + k*m(l). Determine n(o(r)).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**4 + 510*z**3 - 5580*z**2 + 16360*z - 14400 = 0. Calculate z.\nAnswer: 2, 8, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 46. Suppose 5*v - 2*j - 44 = -0*j, 5*j + 26 = 2*v. Suppose v = -2*c + z. Calculate the highest common divisor of c and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 14 + -5 + -26.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6*j - 17. Give x(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i. Let j = -800 - -1442. Let u(z) = z**2 - j*z + 642*z. What is u(v(l))?\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -63 + 9. Factor 4*b**2 - 3*b + 2*b + v*b.\nAnswer: 4*b*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(40)\/sqrt(4)*6*-3)\/((sqrt(30)\/sqrt(2)*3)\/(sqrt(33)\/(sqrt(11)*-2))).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4625 by -125.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/3)\/((-1)\/(-3)). Suppose 0 = 5*m - 42 + r. Suppose 3*j + 4*z = 10, m = 2*j + z + 3. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4*h**2\/3 + 1264*h + 80640 = 0?\nAnswer: -60, 1008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 1:55 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 73a79 - 2?\nAnswer: 73a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.04, 0.04, 2\/3, -3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence af when two letters picked without replacement from {z: 8, a: 5, f: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -6*d - 568. Let q = 80 + d. Does 24 divide (-2 - q)\/((-22)\/1155)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2808 - -61?\nAnswer: -2757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -140625, -140612, -140599, -140586, -140573?\n\"Answer: 13*i - 140638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (((-1700)\/(-48))\/5 + (-21)\/21).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/3)\/r)\/r)\/(((r**(-1\/13)*r)\/r)\/r)*(r**8\/r)\/(r*((((((r*r\/(r\/(((r\/(r*r*(r**4*r*r)\/r))\/r*r)\/r)*r))\/r)\/r)\/r)\/r)\/r)\/r) assuming r is positive.\nAnswer: r**(679\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 96531.87093?\nAnswer: -96532.87093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 705.8 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 20 = -0*w, 4*v = -4*w + 808. Suppose 3*z = -2*d + 611, -191 = -3*z + 3*d + 430. Which is greater: v or z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 7*f**2. Let i be g(7). Let w(z) = -z**2 + z + 9. Let b be w(i). What is the highest common divisor of b and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 384 - 372. What is the remainder when 107 is divided by ((-81)\/p)\/((-4)\/32) - -1?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31415 = 59*o + 162*o - 2840. What is the remainder when 210 is divided by o?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 850 and 17900?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2175228*h**2 + 8760076*h wrt h?\nAnswer: -4350456","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 58530233 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 236, 469, 700, 929?\n\"Answer: -c**2 + 236*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/((-1*sqrt(14))\/sqrt(7)))\/(2*sqrt(36) - 1*sqrt(18)\/sqrt(2))*-2.\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 6. Suppose 23 = -n + 5*q, -8 + 4 = z*n - 2*q. Suppose 0 = 4*f - 5*o + 22, -4*f + 4*o + 38 = 58. Put n, f, -10 in ascending order.\nAnswer: -10, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 0.2 (c) -746\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 587 - 288. Let r = s + -301. Let h(o) = o**2 - 3*o**2 + o**2 - 3*o + 2. Give h(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1408 + 45*p**2 + 1408 + (0*p - 5*p + 3*p)*(-7 - 2*p + 2 - p) to the form t + a*p**2 + h*p and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 71*g**2 + 3*g - 3. Let o(t) = -36*t**2 - t + 2. Let x(f) = -4*l(f) - 7*o(f). Let w be x(4). What is the units digit of 2\/4 + w\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -150 + 65*g + 72*g + 97*g - 1067 - 15216*g**4 - 236*g wrt g.\nAnswer: -182592*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*t - 0*t + 144 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -41\/52, -6, 41\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 204595138?\nAnswer: 204595138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 1 - 5 + 2 = 3*a, w = -w + 9*a + 39 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8212344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 63.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 7*m - 264 = -q, -4*m - 4*q = -276. Suppose 64*j + 5 = m*j. What is the second smallest value in j, 0.3, 0.4, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*i + 33*i - 35*i - 2393 = 4195 for i.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - n**2 - n + 13. Let i be l(0). Suppose 3*q - 8 = 4*s, s = 5*q - 8*q + i. Let x = 4 + -4.3. Which is smaller: x or s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 - n + 1. Let r(s) = -6*s**3 - 143*s + 1. Give b(k) - r(k).\nAnswer: 4*k**3 + 142*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -29 (c) 5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 2*b. Let j(w) = w**3 + 5*w**2 + 4*w - 5. Let r(l) = -l**2 - l + 1. Let s(v) = -j(v) - 5*r(v). Give 5*h(g) - 10*s(g).\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21547.9 + 23088. Round u to the nearest ten.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msxktssttxf. Give prob of picking 1 t and 1 x.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.026628 to 3 decimal places.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a century in months?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*s - 167 - 106, 0 = -2*g + 2*s + 186. Suppose -8*j + 32 = g. Does 6 divide 2\/j + (-1690)\/(-40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/44 smaller than 6\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 19, 3, 4, 1\/12?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x = 26*x + 10. Suppose 2*h - 9 = u, u - 6*u + x = 0. What is the remainder when ((-36)\/8)\/((-2)\/4) is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2100509 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 4 + 2 + -3. Suppose q*o + 10 = 2*o. Calculate the common denominator of 32\/22*o\/(-5) and -64\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.866 + 5.134. What is the fourth smallest value in s, 4, -30, 1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (1 - -3)) + -4 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10395 + -17604. Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**3 + 418*l - 618*l - 2 + 2.\nAnswer: -2*l**3 - 200*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v + 1. Let j be w(-1). Suppose 0 = j*i + 3 + 18. What is the tens digit of (-617)\/i + 2\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1816\/5 in 9\/17, 2\/3, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1492 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: Let v(x) be the second derivative of x**3\/2 - x. Let g(k) be the third derivative of k**4\/24 + 10*k**2 + 9. Calculate g(v(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4740 and 768?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 710 = -13*d. What are the prime factors of d?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 2 - 2 + 2)*(-104*v + 41*v + 23*v)*(1 - 3 + 3)*(2*v - 2*v - 2*v)*(-2 + 2 + v).\nAnswer: 80*v**5 + 160*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34951 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o**3*x**3 - 8017*o**3 - 26*x**3 + x**2 + 5*x wrt o.\nAnswer: 6*o**2*x**3 - 24051*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -171 + 548. What are the prime factors of b?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 s when two letters picked without replacement from ssssusssuuu?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 239280\/13073 <= 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 1902530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d - 66. Let m = -739 - -718. Give h(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 10*z**2 + 532*z\/9 + 442\/9 = 0.\nAnswer: -221\/45, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*m, 5*o = 4*m + 2*o - 11. Let u be (0\/(-1))\/(m + 3). What are the prime factors of 127 - (1 + u\/(-5 + 1))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 29*t - 266. Determine n(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = -187*m + 263 + 432 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -6*h**2 - 160*h - 973. Calculate y(-17).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, u: 2, l: 7, e: 1, m: 2, s: 1}. What is prob of sequence ms?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*n - 11. Suppose -2*q = 2*p - 78, 177 = 4*p + 8*q - 11*q. Suppose p = -9*j + 222. Calculate the remainder when j is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.9 + -3. Let l = i - 5.9. Let k = -1 - l. Which is the second smallest value? (a) -1 (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -30.8. Let f be 110\/6 - 6\/(-9). Let v be (f\/(-152))\/(6\/(-8)). Which is the closest to 0.05? (a) v (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.1, -43, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5773*w - 5768*w + 2*a = -3*a - 170, 5*w - 118 = 3*a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 2*f + f)*(385 - f + 413 - 861).\nAnswer: -2*f**2 - 126*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -2. Let v be (o + -2 + -1)\/(-1). Suppose 0*z + 2*z - 16 = v. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**5\/20 - r**4\/12 + 3*r**2\/2 + r. Let g be f(0). Suppose -4*j = -5*j + g. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 36 and 120.32.\nAnswer: 4331.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -a + 1. Does 2 divide -6*(10\/4 + a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 7*w + 292 - 273, 2*w + 14 = 4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**0\/(n*n**(-1\/7))*n**24*n**15 assuming n is positive.\nAnswer: n**(267\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + (2*sqrt(156))\/sqrt(3))\/(-3*1*sqrt(4)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1113 + -56722?\nAnswer: -55608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 14 = -106. Suppose -55*i + 61*i = k. Solve 3*u + i = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 319 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 9, h: 2}. Give prob of sequence he.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -7. Let t be (6\/(-7))\/(a\/35). Solve 3*i + 3*o = -0*i + t, 8 = i - o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -24, -2, -9, 22 in increasing order.\nAnswer: -24, -9, -2, 0, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9363475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2671 + -10353.\nAnswer: -7682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 1 = 5*i. Let d be ((-1 + 3\/i)*0)\/(-1). Suppose -19*g + 448 + 1452 = d. What is g rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(4)*2 - sqrt(84)\/sqrt(4)*1)\/(-2*sqrt(28)*2) + -1.\nAnswer: -1 - sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129404, 258808, 388212?\nAnswer: 517616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -76\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*d + 29*d + 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1319 + 2130 + 1895 - 689 - 283)*(0*g**2 - 2*g**2 + g**2).\nAnswer: -4372*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 55047, 441080, 1488983, 3529692, 6894143?\n\"Answer: 55156*i**3 - i**2 - 56*i - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -12554.1 to the nearest one hundred.\nAnswer: -12600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006119 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14830536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*p - 46 = -739. Let l = -16 - -26. Calculate the least common multiple of p and ((-248)\/(-10))\/(4\/l).\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (3 - 3 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16537 and 299?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 - r**3 + 2*r**2 - 2 + 13*r - r**3 - 12*r to the form x*r**3 + y*r**2 + c + k*r and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41518 + 41518 - 4432*m)*(7 - 7 + m).\nAnswer: -4432*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 15 + 2 - (1 + -2 - -7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d - 15 = 18*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 2*h**2 - 4*h + 4. Suppose -3*m + 38 = 4*v + 25, -m + 1 = -2*v. Determine d(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, y: 1, j: 2, p: 1, u: 4, w: 3}. Give prob of picking 1 p, 1 i, and 1 j.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/8))**41 assuming v is positive.\nAnswer: v**(123\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 3, 23, -14, -7, 2 in decreasing order.\nAnswer: 23, 5, 4, 3, 2, -7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205a (base 11) to base 10.\nAnswer: 2727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -23. Let h be 4\/(-22) + 64\/m. Let r be 1 + -2*(-3)\/h. Which is smaller: r or -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 468 and 328432?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2743008.\nAnswer: 2, 3, 28573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 15 = 0, -4*y = -4*r - 0*r - 136. Calculate the remainder when 121 is divided by y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 1, 3 in decreasing order.\nAnswer: 3, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6f62 (base 16) to base 9\nAnswer: -43102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.4 + 3. Let p = l + -0.6. Let i = 1.4 + p. Which is the third smallest value? (a) 0.2 (b) 0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14421323 (base 5) to base 12.\nAnswer: -75564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -19. Suppose s - r = 17. Suppose 0 = m - 2, m + 5 = 3*k - s. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1355 is divided by 862.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 56\/12 + 1\/3. Suppose 4*b + z = 17. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7 + 3 + 723\/180. Let k(p) be the third derivative of -p**2 - 1\/12*p**4 + 0 + 0*p + 0*p**3 - f*p**5. Find the second derivative of k(h) wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*r + 312. What is the lowest common multiple of 11\/1 + (-25)\/(-5) and r?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**5 + 91712*g**4 + 16870056*g**3 + 1089538128*g**2 + 27923712444*g + 205439780304 = 0.\nAnswer: -57, -12, 23111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = 14*c + 2*d + 1299, 4 = -2*d. Put -4, -5, c in increasing order.\nAnswer: c, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 1071*c**2 - 28146*c - 43842. Give p(1044).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-4))\/((-8)\/64). Suppose -53 = -2*i + b, 0 = -u*i + 6*b - b + 49. Factor i*s - 27*s**4 - 112*s**2 + 120*s**3 - 27*s**4 + 18*s**4 + 5*s.\nAnswer: -4*s*(s - 2)*(3*s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -31, 48, 243, 596, 1149?\nAnswer: 1944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1992 and 19584?\nAnswer: 1625472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, v: 2, x: 3, b: 8}. What is prob of sequence xfxb?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 737282 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**7\/420 + g**6\/90 + g**5\/40 - g**3\/6 + 6*g. Let w(o) be the second derivative of i(o). Give w(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7471177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, -254, -386, -520, -656, -794, -934?\nAnswer: -1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 81006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2*z - 75 - 11, 0 = 5*b + 2*z - 438. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55926.\nAnswer: 2, 3, 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 369, 3156, 10695, 25356, 49509, 85524, 135771?\nAnswer: 202620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 65867342 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-58)\/6)\/(3\/(-9)). Suppose 0 = -3*b + s + 70. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/34033 or -1?\nAnswer: -1\/34033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10388*r**2 + r + 634?\nAnswer: -20776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + u + 80, 0 = -2439*n + 2442*n - 4*u - 269 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -358157\/8 - -44767. Find the common denominator of z and -34\/21245.\nAnswer: 169960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -0.27 (c) 0 (d) 3 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(6 - 4) + 2)*1. Factor 3*a**2 + a**3 + q + 0*a**3 - 3*a - 2*a**3 + 0*a**3.\nAnswer: -(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 11*r**2 - 10*r - 6. Let y be k(10). Let c be 2\/((-8)\/15)*80\/y. Let l = 82 + c. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/6557, -2\/49, -0.3, 23?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {u: 2, y: 1, n: 1, m: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/11 (b) 0.07 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (-9 - (-36)\/((-6912)\/2800))\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**2*k**3 - g**2*k + 11*g - 18919*k**5 - 82*k wrt k?\nAnswer: -6*g**2*k - 378380*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r + 1. Let n(t) = -t. Let u(i) = -i**3 - 12*i**2 - 6*i + 65. Let a be u(-11). Suppose -b = -3*h - 4, -a + 7 = h - 2*b. What is h*j(l) - 3*n(l)?\nAnswer: 8*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 8*a**2 - a + 4. Let z be m(3). Suppose 0 = 4*v - z + 13. Solve v = 5*t, -10 = -2*y - 2*t + 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10102 - -12210?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 302273581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 - f + 7*f - 67 + 2*f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7*k + k + 2*k)*(1 - 2 + 3) + 4*k - 4*k + 2*k)*(2*k - 3*k + 5*k).\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j**2 + 4*j. Let x(h) be the second derivative of h**4\/3 - 232*h. Calculate x(b(v)).\nAnswer: 64*v**4 - 128*v**3 + 64*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 725\/870*56\/(-455)?\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59\/2 + 181\/6. What is the nearest to g in -218, -1\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*y + 2 - 5 + y + 1 as k*y + s and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0, -36, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3624 divided by -151?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-44)\/(-12) + (-1)\/(-3). Suppose h*r + 3 = 7*r. Let v = r - -9. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -167.9 - -1209.9. Let i = b - 999.3. What is i rounded to 0 dps?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 5*j + 30, -2*j - 5 = 2*m + 3*m. Let f(w) = 53*w - 8*w + m + 3*w. Is f(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -373131, -372816, -372501?\n\"Answer: 315*p - 373446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57)*3)\/sqrt(3) - sqrt(19)) + sqrt(114)\/(sqrt(36)\/sqrt(6)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d**4 + d**3 + 2*d**2 + 11 + 0*d**2 - 2*d**4 - 8 + 3*d**2 to n*d**3 + j*d**4 + q*d**2 + m*d + s and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 7 + 3. Let h(k) = -3. Let w(s) = -s - 1. Let u(z) = h(z) - 4*w(z). Let l(v) = -9*v - 2. Let a(g) = -3*l(g) - 7*u(g). What is a(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 5, q: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13179?\nAnswer: 3, 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 35.73124 centuries?\nAnswer: 3573.124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4280 = -2*j, 2*j + 16*v = 15*v + 4272. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2643747?\nAnswer: 3, 881249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 69970255 to the power of 1\/2, to the nearest integer?\nAnswer: 8365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 0.029 (b) 0.03 (c) -41.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oicuuuooccocoicoooo. What is prob of picking 1 o and 2 u?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/(-152))\/(3\/24). Let f = 52\/95 - p. Let h = -30 + 30. What is the nearest to h in -1, f, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 611520846*q**3 - 158*q**2 - 319394 wrt q.\nAnswer: 3669125076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4243 is divided by 1398?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 488 = 2*q - 4*a, 3*a + 24 - 792 = -3*q. Let z = q + -124. Calculate the remainder when z is divided by 41.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-32)\/(-2) - (-8)\/(-2). Let r be (z\/8 - 2)*-2. Suppose -13*b - 40 = 25. Sort -2, r, -1, b.\nAnswer: b, -2, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 - -41. Let i = t + 9. Let r be ((-6)\/(-27))\/(2\/i). Which is the smallest value? (a) r (b) 5 (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/18*((-8)\/42)\/1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 9602, -2, -14 in increasing order.\nAnswer: -14, -2, 9602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, w: 5, y: 1, s: 3}. What is prob of picking 1 s, 1 w, and 2 j?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1745928.\nAnswer: 2, 3, 59, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 705*q**2. Let y(f) = -6*f**2. Give k(y(a)).\nAnswer: 25380*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -8120*m + 6 + 8111*m - 41 + m**2. Give r(17).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-9))\/(-2)*9. Let n be 9\/z*6\/3. Let b(i) = -2*i**2 + 2*i + 1 + i**2 + n*i + 0*i**2. Give b(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - (3 + 2 - -13)) + -6 + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/18*42\/84*(2070\/(-6))\/5.\nAnswer: -69\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80 + 9. Let w = p - -70.9909. Round w to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -211, -509, -805, -1099, -1391, -1681, -1969?\n\"Answer: h**2 - 301*h + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 11 = 3*v + 2*y, y - 2 = v. Suppose 3*m - v + 10 = 0. Let b(w) = -5*w**2 + 5*w + 3. Let n(x) = 2*x**2 - 2*x - 1. Determine m*b(r) - 7*n(r).\nAnswer: r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -330 divided by 6390\nAnswer: -11\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/3))**(9\/11)*(z\/((z*z\/z**(-1\/4))\/z))**(24\/13))**6 assuming z is positive.\nAnswer: z**(-864\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 576241?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - ((-1112)\/(-70) + 2). Let i = -98\/5 - m. Let h be 1\/(-3) - 4\/6. Which is the nearest to h? (a) 1\/3 (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -38*p**3 - p**2. Determine w(1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 212828406 and 204.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1336432 divided by 101\nAnswer: -13232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -102*m + 41*m + 59*m. Let a(t) = -2. Let n(y) = -2*y**2 - 18. Let k(w) = -18*a(w) + 2*n(w). Give s(k(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18772092 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2994834 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a1229 (base 11) to base 16.\nAnswer: e8bb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 40*g - 2729. Determine j(-36).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.83 * -0.105\nAnswer: 0.08715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26568669 by 3.\nAnswer: -8856223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 27 + (237 - 242)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-2)\/(-5) - (51 + 387)\/(60\/(-32)) and 858.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -485, -938, -1391, -1844, -2297?\n\"Answer: -453*j - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02194051 + -17.11892?\nAnswer: -17.09697949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.02, 3, 5, 4, -0.006?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 11:12 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -47, -46, -4.\nAnswer: -47, -46, -38, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16415 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24256 is divided by 169.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**2 - 6*h**2 + 43 - 43 + 0*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r - 2*r - 100*r**2 + 97*r**2 - r**3 - 1. Let x(o) = -o - 3. Let w be x(-4). Suppose 0 = 2*m - 4*d - 6, d - w = 4*m + 8. Calculate y(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*c**2 + 67*c**2 - 275*c**2 + 63*c**2 + 67*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 37955*s. Let w(y) = -y. Give o(w(h)).\nAnswer: -37955*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**3\/2 - 3*v**2\/2 - 45*v\/2 + 175\/2 = 0.\nAnswer: -7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -6 - (6\/(-18) + (-3)\/(-2))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 179, 180, 181?\n\"Answer: z + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*r + l + 15, 20 = -5*l. Is ((-57)\/12)\/(r\/(-12)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 126 + -127. Sort 2, -3, -2\/11, p in decreasing order.\nAnswer: 2, -2\/11, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12346, -0.03, -13, 3, 4, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4575 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.58 - -0.98. Let l = 1 + -1. Let s be 1\/9*6\/(-4). What is the biggest value in s, h, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03919311 rounded to 3 decimal places?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/3))**14*u*u\/(u\/((u*(u\/(u\/(u**5*u)))\/u)\/u))*u*u**(1\/5)*u)**(10\/3) assuming u is positive.\nAnswer: u**(106\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3079622 and 1456?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a = 5. Let t = a + 7. Let k be ((-2)\/10)\/((-2)\/(-15)). Sort k, 2\/3, t.\nAnswer: k, 2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + g + 12. Suppose 4*w = -m - m + 6, 3*w + 3*m = 3. Suppose v = -w*b, -3*v = -v + 5*b. Determine j(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*k, 0 = 4*r - 19*k + 21*k - 460. Suppose -114*u - 144 = -r*u. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u + 5*u - 2*u - 1 + 1 - 2*u + (-1 - 1 + 0)*(-2*u + 0*u + u) + 6*u - 3*u - u + 0*u + u + 5*u to j*u + p and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 106572 - -0.2\nAnswer: 106572.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 110531 (base 9) in base 3?\nAnswer: 10100121001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -6400\nAnswer: -1\/3200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 22, 1, -1, -14, 21 in ascending order.\nAnswer: -14, -1, 1, 11, 21, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/1514? (a) -3.3 (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 132021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2527699*i**4 - 170028*i**2?\nAnswer: 60664776*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**3\/6 + 7007*y**2\/6 + 12278015*y\/6 + 12271009\/6 = 0.\nAnswer: -3503, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s = -s - 12719. Let n = s + -400. What is the smallest common multiple of 15 and n?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80 + 87. Let x = -3 + m. Solve -6 = -x*o + 14 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from neeeeeeneeeeeeen. Give prob of sequence nene.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + (-2)\/4)*(-260)\/(-1365)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6.9 times 5\nAnswer: 34.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/3 - 47830*b - 717425\/3.\nAnswer: -(b + 5)*(b + 143485)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76361?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*z - z - 147, 288 = 4*d - 4*z. Suppose -19*w = -1423 + 948. Calculate the remainder when d is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -424521680 rounded to the nearest 1000000?\nAnswer: -425000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - -15. Suppose 5*r - 12 - z = 0. Solve 0 = 3*b - 0*b - r, -2*q + 3*b - 13 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14887 greater than 10510?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/468090 and 41\/3510.\nAnswer: 18255510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4 + 5 + 2*w**3 + 0*w**3 + 3*w. Suppose 2*j + 7 = 1. Let v(k) = 2 - 11 + 8 - k. Calculate j*v(z) - p(z).\nAnswer: -2*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -2.32935.\nAnswer: 11.64675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 1 + 4*s + 2 + 0. Does 6 divide c(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/28*(-7)\/(-2). Suppose h = -4*u - 2, -i*h + 5*u - 5 = -7*h. Suppose h*f + 3 = 4*m - 11, -3 = -3*f. Sort -4, m, -2.\nAnswer: -4, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 d when three letters picked without replacement from {d: 10, i: 9}.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5*(sqrt(1900)*3 - sqrt(1900))*1 - (0 + sqrt(1900) + -2 + sqrt(1900) + -2)))**2*-6.\nAnswer: -6566784 + 23040*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**4\/z)\/(z\/((z*z*z\/((z*z\/(z*z**(1\/3))*z)\/z))\/z))*((z\/z**(-2\/5))\/z)**(-11\/2) assuming z is positive.\nAnswer: z**(32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1992 + 205*c**4 - 1992 + (3*c - c - c)*(-c**3 + 0*c + 0*c) in the form t*c**3 + i*c + o + n*c**4 + a*c**2 and give n.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 3:08 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(72))**2*5 + sqrt(72) + 3*(sqrt(72) + 0 + sqrt(72)) + ((-4 + sqrt(72)*2)**2 - ((sqrt(72) + 0)*-4)**2))*-1.\nAnswer: -592 + 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 16 = -8. Suppose -r = -k*r + 20. Solve 4*y - 20 = r*h, 0 = 4*h + 4*y - 0*y - 12 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l + 5. Let r be t(3). What are the prime factors of (-1 - -126) + (r - 24)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7*w - 40 = 0. Suppose -q + w - 9 = 0. Let u = 6.7 + -2.7. Which is the second biggest value? (a) u (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -1\/6, 0.01, 13 in ascending order.\nAnswer: -2, -1\/6, 0.01, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d*q*s + 2*d*q + d*s - 54*d + 2*q*s + 1051*q - 2*s wrt d?\nAnswer: -2*q*s + 2*q + s - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**4 + 105*q**3 + 285*q**2 + 275*q + 90 = 0.\nAnswer: -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14019908 to the power of 1\/3, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*t + 3*q, 0*t - 4*q + 4 = -4*t. Let j = 2 - t. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.375*-1\nAnswer: 0.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/11)\/k**(4\/3))**(-8) assuming k is positive.\nAnswer: k**(376\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 3*f + 7, 2*c - 40 = 5*f - 11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -662\/419 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, x: 4, d: 3, t: 3}. What is prob of picking 1 x, 1 t, and 1 r?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, v: 2, j: 2, g: 1, b: 1, m: 2}. Give prob of picking 3 b and 1 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1345 = -187*l - 86*l - 1385 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 600307, 1200620, 1800931, 2401240?\n\"Answer: -j**2 + 600316*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138143 is divided by 5525?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 56*g**2. Let f(s) = -51*s - 19. Let x(k) = 61*k + 22. Let m(h) = -6*f(h) - 5*x(h). Calculate m(b(c)).\nAnswer: 56*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 3*c)*(2 + 12 + 7)*(36 - 14 - 13)*(-1 - 1 + 0)*(3 - 4 - 1).\nAnswer: 2268*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 - -39. Let y = o + 14.8. Which is the smallest value? (a) 5 (b) 1\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343*b + 14 = 5*l + 342*b, 0 = 5*l - 5*b - 10. What is the biggest value in 1\/3, 10, l, -2\/11?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3132*s**2 + 1042*s**2 + 1041*s**2 - 179*s**3 - 21*s**3 + 1049*s**2.\nAnswer: -200*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 + 22 + 201)*(u + 2 - 2)*(1 + 3*u - 1 + (-3 + 2*u + 3)*(2 + 2 - 6)).\nAnswer: -187*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2004966?\nAnswer: 2, 3, 107, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*a**2*l**3 + 3084488*a**2 + 198581*l**4 wrt l?\nAnswer: -18*a**2*l**2 + 794324*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*(sqrt(324) - sqrt(324)*-2*4)\/(sqrt(12) - 5*sqrt(108)\/sqrt(9)).\nAnswer: 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 10:34 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -90*c**3 + 6*c**2 + 9. Let q(w) = 270*w**3 - 17*w**2 - 27. Let y(v) = -17*m(v) - 6*q(v). Find the first derivative of y(d) wrt d.\nAnswer: -270*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 18868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 11*t = 16*t + 3040040, 9880016 = 13*l - 2*t. What is l rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/75))**30 assuming y is positive.\nAnswer: y**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in -2\/17, -2, -6\/11?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -41550 to the nearest one thousand.\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(384) + 1*sqrt(384) + sqrt(384) + sqrt(384) + sqrt(384) + sqrt(384))\/(sqrt(16)\/(sqrt(2)*2)))**2*-5.\nAnswer: -34560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*m - 5*g = 64, -3*m = -2*g - 58. Let b = 33 - m. What is the remainder when 59 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 14) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -129208855\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462*a - 128*a - 19908 = -219*a for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/2808 and -55\/132144?\nAnswer: 15460848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -442*n - 1867929 = -539*n. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 13*h + 24. Let b be u(11). Suppose -5 - c**3 - b + 11 - 3*c**2 = 0. Calculate c.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3148 or -1885?\nAnswer: -3148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5927, 24899, 56921, 101993, 160115, 231287?\nAnswer: 315509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 1. Let q be n(10). Let f be 2\/q - (-50)\/18. Calculate the greatest common factor of f and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21843, -44603, -67363, -90123, -112883?\nAnswer: -135643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.9 + -16.2. Let m = -111 + 112. Which is the third smallest value? (a) s (b) -0.2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3427310 divided by -3.\nAnswer: -3427310\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/9 + (6 - 120\/18). Solve 4*q - 4*j = -0*q - 16, 0 = 2*j - l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 59, -265, -1159, -2911, -5809?\n\"Answer: -48*c**3 + 3*c**2 + 3*c + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -311442?\nAnswer: 311433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 239946340 to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5016627047.\nAnswer: 5016627047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*c - 12*c + 27*c - 2*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5)\/5*23\/(-6) and ((-32)\/2)\/(-1*(-9 - 2)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216*g = 223*g - 84. What is the greatest common factor of 516 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, l: 5, v: 1, i: 2}. What is prob of sequence il?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0 = -3. Solve 0*k - 15 = -p*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*i + 47*i + 65*i)*(-4 + 2 + 6)*(68*i**3 + 102*i**3 - 258*i**3) as m*i**2 + p*i + x*i**4 + r*i**3 + h and give x.\nAnswer: -35200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -275100 rounded to the nearest 10000?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (6 - (-6 + 10 + -3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*g**4 + 131759*g**3 - 3101135*g**2 wrt g.\nAnswer: 672*g + 790554","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -3. Let c = -11 - i. What are the prime factors of c\/4*(-7 + 11)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 27956101\nAnswer: 27956101.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 617*p = 310404 - 326446 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 18 = 2. Let h = 108 - 71. Let q = h + -33. Solve -q*c + s = x, -3*x + 10 = 2*x + 2*c for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1046 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57 or -8?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -179? (a) 3 (b) 6 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*d = -85930 + 82082 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65 + 3. Let n be (-3034)\/m*(-3)\/3. Let u = n + -35\/62. What is the common denominator of 25 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 142535?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 172 = -5*z, 3*n - 3*z - 204 = -n. Suppose 0 = 2*s - 2*t - 20, -4*t + 9 = -3*s + 37. What is the greatest common factor of n and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**5\/30 - v**2 + 6*v. Let m(i) be the first derivative of o(i). Let x(r) = -3*r**2. Calculate x(m(f)).\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -99.1 - -95.085. Let p = -4 - d. Let v = p + -0.015046. What is v rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + 1 + 2 - (sqrt(91)\/(1*sqrt(7)) + 5*(sqrt(26)\/sqrt(2) - sqrt(13))))**2.\nAnswer: 42*sqrt(13) + 646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 + 38. Let y(a) be the second derivative of a**4\/12 + 7*a**3\/6 + 2*a**2 - 82*a. Determine y(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x + 9*x + 40 = 0. Solve 2*h = -3*s + x, 0*h + 5*h + 15 = 5*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90897.\nAnswer: 3, 41, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*c**2 - c**3 + 1 - 1 - 2*c**2 as r + a*c**2 + o*c**3 + g*c and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -126, -1, 4, 1, -44189 in descending order.\nAnswer: 4, 1, -1, -126, -44189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*y + 2852 = 642 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/2 of a decade?\nAnswer: 1860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2480, -9912, -22298, -39638, -61932, -89180, -121382?\n\"Answer: -2477*n**2 - n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-105633)\/(-12))\/1 - (-11)\/44 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6567136000 rounded to the nearest 1000000?\nAnswer: 6567000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -21*((-20)\/35)\/((-92)\/69*(-18)\/(-112))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 77*j + 86*j + 144 + 4*j**2 - 5*j**2 + 32 wrt j.\nAnswer: -2*j + 163","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, 6781 in descending order.\nAnswer: 6781, 8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (25\/((-425)\/(-164)))\/2 - 4. Which is greater: g or 0.037?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - (2 + -3) - (-9 + 23 - 4).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1292 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3860 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: Let k be 4\/6*(-3)\/11. Let y = 4 + -4.6. Which is the third biggest value? (a) -0.3 (b) k (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*y + 513 = -1587, -2*y = -4*q + 2104. Let c be (4\/(-8))\/((-2 - 1)\/q). Suppose -29*j = -28*j + c. Round j to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.9 * -1348.68.\nAnswer: 6608.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/32 of a kilogram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 5*z + 34 + 84, 246 = -4*g - 5*z. Let q be ((-2)\/(-8))\/((-56)\/g). Let -q*s + 2\/7 + 2\/7*s**3 - 2\/7*s**2 = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 42*z**2 + 103*z + 301. Determine j(-39).\nAnswer: 847","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtjyn. What is prob of picking 1 t and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -211 + 115. What are the prime factors of (3\/2 + 22\/(-8))*x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7591850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -1\/2*n**2 + 5 + 5\/3*n**3 - n. Let l be a(-1). Solve -l*w = 16 + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -14*u + 15. Let p(w) = -4*w + 3. Calculate 9*p(a) - 2*x(a).\nAnswer: -8*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 5:18 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 1. Let r(t) = -t**3 - 18*t**2 + 18*t + 17. Let x(f) = r(f) - 6*u(f). What is the remainder when 116 is divided by x(-19)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 3:16 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1057 and 252.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/7320 and -127\/120.\nAnswer: 7320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69115 and 1725?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -132*r**6 + 216*r**2 wrt r.\nAnswer: -15840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, o: 9, r: 1, l: 1, p: 7}. Give prob of picking 2 o.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.976 times 4?\nAnswer: 7.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0035 and -0.1678.\nAnswer: 0.0005873","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 7*v + 3. Let x be y(-4). Let q = 37 + x. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 725d + -1?\nAnswer: 725c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3577 + 3612. Solve -27 = 4*n - u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -667 - -1306?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15*(-12)\/150)\/((-11)\/(-55)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -5 - 5 - 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.11 times -1.5652?\nAnswer: -3.302572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, h: 1, d: 1, s: 1, y: 1}. Give prob of sequence yd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**2 + 429*o - 1983. Calculate c(138).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*z)*(z**2 + z**2 - 4*z**2) + 13*z + 0 - 1297161*z**2 + 1297162*z**2 - 2 - z**3 to the form w*z**3 + s + d*z**2 + j*z and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199114.\nAnswer: 2, 29, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85.4 - -83.4. What is the biggest value in -0.06, p, -1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2*z. Let r be (-3)\/6 - 10\/(-4). Let u(p) = 3 + p - r + 7. What is u(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -5. Suppose 2*s + 5*c = 9, 2*s = -0*c + a*c + 54. What is the remainder when s is divided by (2 - 4)\/(6\/(-27))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380327 a multiple of 808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2. Let s(k) = 143745*k + 513*k**2 + 245*k**2 - 143745*k. Give v(s(l)).\nAnswer: -574564*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 4*y + 520996, 3*i - y - 1041999 = 5*i. What is i rounded to the nearest ten thousand?\nAnswer: -520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -42 (b) -0.1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b + 16. Let x be a(-2). Let v(k) = x*k - 53*k + 26*k. Let n(z) = 8*z**2. Calculate n(v(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4 = 0, 3*c - t - 6 - 29 = 0. Let j(k) = 61*k + 7. Let r be j(5). Let y = 444 - r. Calculate the greatest common factor of y and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/2))**(-6)*(n\/(n**5*n))\/n*n**3)\/((n**(-2\/3))**33\/(n**2*n\/(n*n**(1\/5)\/n))) assuming n is positive.\nAnswer: n**(124\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83 + 24. Let g = -50 - x. Suppose -g*m = m + 30. Which is bigger: -6 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43610 is divided by 8718.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/7, 0.8, -4, 0.9, 189?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 906904, 906421, 905938, 905455?\nAnswer: 904972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 1032.\nAnswer: 5160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 37\/4, 5, -1, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2497227, -2497229, -2497233, -2497239, -2497247?\n\"Answer: -j**2 + j - 2497227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 10) in base 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 - (-7108)\/14 - 34\/(-119)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26017 (base 9) in base 10?\nAnswer: 17512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/4 - 13\/(-52). Suppose -5*m + 2*x + 197 = -2386, d = -3*m - 2*x + 1553. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*o**3 - 12*o**3 - 4*o - 2*o**4 + o**4 - 1 + 24*o**3 as j*o**2 + d*o**3 + c + p*o + b*o**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05604 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4147007885 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least as big as -29797\/10581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2. Let a(v) = -68*v**2 - 2*v - 1. Calculate a(x) - 4*l(x).\nAnswer: -60*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 707 + m**2 - 707.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**5\/20 + 5*y**4\/16 - 3*y**3\/4 + 7*y**2\/8 - y\/2 + 1. Factor q(n).\nAnswer: -(n - 2)*(n - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/8)\/((-6)\/4). Let o = 2.03 - 0.03. Let m = o + 0. What is the closest to 0.1 in -1\/4, m, u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*m = 1533, 5*m - 4*m + 6087 = 4*f. Let x be 2\/9 + (-320)\/f. Let y = x + 328\/845. Is 0 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1728 (b) 1 (c) -0.03 (d) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205821644 is divided by 102910819?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**4 + 214743*v**3 + 19135890*v**2 = 0.\nAnswer: -89, 0, 71670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -56 + 1041?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 >= -2059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxyxxxxxxxxx. What is prob of picking 2 x?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.32269211 to 2 dps.\nAnswer: -3.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -21*s - 80. Suppose z + 89 - 85 = 0. Let o be u(z). Solve -o*y + 8*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -269\/39 in decreasing order.\nAnswer: 4, 1, -269\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a8 - -94a4?\nAnswer: 8bb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a microsecond in nanoseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/54 and (-226)\/(-108) - (-13)\/(-26).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7803 + -7799. What is the closest to -19 in 1\/4, 0.2, a, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102111 + -1?\nAnswer: 102110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 203 - 143. What is the greatest common factor of 24 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 + 3*j**3 - 3*j**3 + (-9 - 7 + 4)*(j**2 - j**2 + j**3) + 6*j**3 - 4*j**3 + 0*j**3.\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 4*o + o + 4, -5*o + 16 = i. Suppose 17*j = -218 - 3. Let d be (-8 - -2) + (-10 - j). Sort d, -5, i in increasing order.\nAnswer: -5, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*b**3 + 3*b + 39*b**3 - 3*b.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3528886?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9 + 120 - (-2*1 + 1). Suppose 2*n - 104 - s = 0. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 758132406.1 rounded to the nearest 1000000?\nAnswer: 758000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 24040022201?\nAnswer: -24040022143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 66*y - 215. Let k be c(-43). Which is smaller: -1203 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (96\/(-108))\/(34\/306)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 4*v + v + 72, 3*j + 2*v - 53 = 0. What is the highest common divisor of 30 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.30135967 and 34.727?\nAnswer: 35.02835967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1006740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-76) - (-12)\/114. Let w be (-2 - m)\/(0 - 8). Which is smaller: w or 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m - m**3 + m)*(3 - m - 3 - 4*m + 2*m + 0*m + (2 - 2 + 1)*(0 + 0 + m) + 7*m - 8*m - 14*m) to the form x*m**2 + z*m**3 + w*m**4 + c*m + u and give w.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 91*n - 20*n)*(0 + 2*n**4 + 0).\nAnswer: 148*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*f + 19 = 4*o - 38*f, 0 = 5*o - 4*f - 29 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177 divided by 59.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n + 6. Let z = -157 + 158. Let o(f) = 8*f - 16. Let u be o(z). Give s(u).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4270*f - 98182. Give a(-23).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.0001 + 4.01. Let n = u + 27.6301. Round n to 0 decimal places.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5997 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/3190 and -47\/12.\nAnswer: 19140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a + 139. What is the remainder when 468 is divided by p(6)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*f = 85*f - 43*f - 1672 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 22.5. Let n = l + 6. Which is the nearest to 2\/5? (a) -0.3 (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c + 1 - 1 + (3*c + 0*c - 2*c)*(4 - 5 + 2))*(5 - 2*c - 3 + 0) to r*c**2 + y + j*c and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3092 divide 312763289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from {g: 4, c: 4, u: 2, f: 2}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 5:52 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239000490.\nAnswer: 2, 3, 5, 885187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 105\/22 + -36\/11. Let m = 16 - 14. Let w = 5 - m. What is the closest to 0 in 1\/2, w, a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 280 = 7*d + 375, -3*w - 45 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of -2 + 24\/6 + 407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*f = 5*v, 0 = -5*v - 2*f. Solve v = -57*w + 52*w + 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.02, 0.04, 5 in descending order.\nAnswer: 5, 0.04, -0.02, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -366*g**3 + 234*g**2 + 22. Let h(a) = 122*a**3 - 77*a**2 - 7. Let v(m) = 16*h(m) + 5*u(m). Find the third derivative of v(k) wrt k.\nAnswer: 732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -724290.\nAnswer: -5070030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -6*((sqrt(27) + sqrt(432))*-6 + sqrt(27) + (2 + sqrt(27))*5)*-3)**2.\nAnswer: -466560*sqrt(3) + 5071248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/5)\/((-3)\/20). Let y = t + 12. Let m = -55 - -40. Which is the nearest to m? (a) y (b) -2\/7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 9*h + 2. Let w be x(-9). Suppose -z - 2*p = -5*p - 176, 5*z = -w*p + 846. What are the prime factors of z?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68 - 40. Suppose -y + 17 = 2*k + 3*k, 13 = 4*k + y. Calculate the highest common factor of k and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 1051675333?\nAnswer: 1051675330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z. Let s(r) = r**2 - 13*r + 8. Let x(j) = 6*n(j) + s(j). Let v be x(6). Let t(h) = 3*h + 2. Calculate t(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (5 - 3 - 6) - (9 - 13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 0*j**4 + 22\/3*j**3 + 0 + 1\/20*j**5 - 19*j**2 + 1\/60*j**6 + 0*j. Differentiate s(d) with respect to d.\nAnswer: 6*d**2 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 2*w = -0*x + 9, -3*x - 21432 = -2*w - 21467 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1395211487 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18, -18, -56, -96, -138, -182, -228?\n\"Answer: -g**2 - 33*g + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 215096.3s in nanoseconds?\nAnswer: 215096300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -48. Suppose 6*w = 40*w - 136. Solve w*y + t = -y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j + 2*j + j)*(-2 - 2 + 5 + (5 + 6 - 4)*(-4 + 105 - 43)) in the form i + z*j and give z.\nAnswer: 1221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7929 = -2*q - 3*i + 7933, 3*q - 2*i - 19 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/391221 and -157\/4955466.\nAnswer: 14866398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arararrraa. Give prob of sequence ra.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24723, 49449, 74173, 98895, 123615, 148333?\nAnswer: 173049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210950 and 576850.\nAnswer: 2433730150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 197910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 2*t - 489. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 107, -1392, -6141, -15766, -31893, -56148?\n\"Answer: -271*z**3 + z**2 + 395*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 27 = 5*t, -4*h - 14 - 2 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*27\/72)\/(-15)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -3. Let g be 10\/6 + (-1)\/q. What is the units digit of (g - 0) + 6\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 + 11*c - 17. Let b(r) = 2*r - 4. Let u(x) = 4*b(x) - k(x). Calculate u(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**0)*v)**(5\/4)\/(v*v*v*v**(-4)*v*v\/(v\/(v\/(v\/(v\/(((v**(-2\/9)\/v)\/v)\/v)*v)*v))))*((v**2*v*v)**44)**(8\/7) assuming v is positive.\nAnswer: v**(49939\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/12, -0.3, -8 in ascending order.\nAnswer: -8, -0.3, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 20, -7528, -2\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 8*p**2 + 9*p + 6. Calculate q(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -238, -476, -714, -952, -1190, -1428?\n\"Answer: -238*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 435*q + 159*q - 50*q - 4*q + 3*q - q + (-3*q + 4*q + 0*q)*(0 - 4 + 3) + 2*q - q - 2*q.\nAnswer: 540*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 take away 47?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4\/2 + 180273*n**3 - 10833866427*n**2\/2 + 32496732072*n - 48742664544.\nAnswer: -3*(n - 60088)**2*(n - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i = 28*i - 10*i - 93268000. What is i rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yywwyyyyyyyyll. What is prob of picking 1 y and 1 w?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6*a**2 + 71*a - 5. Let y(g) = -g**2 + 14*g - 1. Let j(v) = 2*l(v) - 11*y(v). Calculate the remainder when j(-10) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -183*a - 2483. Let r be i(-14). What is the greatest common factor of r and 48427?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-10) - 11\/(-5). Let -14*j**2 - 60*j - 12*j**v - 32 - 8 - 5*j**3 - 4*j**2 = 0. Calculate j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-1\/12)\/z*z)\/z**(-3\/4))\/((z\/z**(2\/11))\/(z**(-1\/6)*z*z))*((z**(-1\/2))**26)**(-11\/2) assuming z is positive.\nAnswer: z**(827\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**2\/5 - 20568*y\/5 + 1122520 = 0. What is y?\nAnswer: -10550, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, s: 3, j: 1}. Give prob of picking 1 j, 1 s, and 1 p.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44490 - -68923. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -p**2 - 7*p + 8. What is j(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100132 (base 5) in base 9?\nAnswer: 4308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 99877094 rounded to the nearest 100000?\nAnswer: 99900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*s + 86 + 84 - 50 = 0. Let j(m) be the second derivative of 0 - 1\/4*m**4 - 96*m**s + 8*m**3 + 4*m. Factor j(f).\nAnswer: -3*(f - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9796, -19633, -29510, -39433, -49408?\n\"Answer: -s**3 - 14*s**2 - 9788*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 371, 495, 375, 11, -597?\n\"Answer: -122*u**2 + 490*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -16. Let h be m\/7 - (-75)\/42. Let w = -0.1 - 0.4. What is the smallest value in w, -4, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -37*a**7\/210 + 19*a**3\/2 - a**2 - 59*a. Differentiate h(y) with respect to y.\nAnswer: -148*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*f**3 + f**4 - 9*f**3 + (-5 + 5 - 5*f)*(4*f**2 - 5*f**2 - f**2)*(-3*f - f + f) to i*f + l*f**3 + g*f**2 + m + b*f**4 and give b.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b*q**4 - 5*b*q**3 - 20*b - q**2 + 6*q wrt q?\nAnswer: 24*b*q**2 - 30*b*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59890?\nAnswer: 2, 5, 53, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 0 + 7\/2*h**3 - 17\/20*h**5 + 0*h**4 + 8*h**2 + 0*h. What is the first derivative of o(l) wrt l?\nAnswer: -102*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 2*g + 17464, 0 = -g + 3*g + 4. Suppose -3*n - 15 = -r. List the prime factors of n.\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12003 - -4444552?\nAnswer: 4500555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15, 1070, 0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-2))\/(11\/4). Let i = 94 - 1408\/15. Suppose 0*c + 15 = 3*c. Sort c, m, i in descending order.\nAnswer: c, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 29 - 29 - 4*z. Let c(g) be the second derivative of -7*g**3\/3 + 6*g - 91. What is s(c(d))?\nAnswer: 56*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -82*u - 471. Let a be v(-6). Let m(k) be the second derivative of 0*k**5 + 0*k**3 + 10*k**2 - 1\/15*k**6 + 0 + 0*k**4 - a*k. Differentiate m(x) wrt x.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.5343149 - -1.54096. Round l to four decimal places.\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by 14.\nAnswer: 17\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-2) + (-4 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33561 in 0, 3\/2, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.485 + -1.985. Sort s, 0.6, -75, 3 in descending order.\nAnswer: 3, 0.6, s, -75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/249295 and 9.\nAnswer: 249295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**5\/30 + j**4\/3 + 7*j**3\/6 - 9*j**2 + 222. Let w(y) = 5*y**2 + 23*y + 20. Give -17*k(r) + 6*w(r).\nAnswer: -4*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (511\/(-35) - 4\/10). Let p be b\/2*2\/6. What is the second biggest value in -5, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3172 is divided by 212?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*b + 3*t = -135, 4*b - 3*b - 3*t - 197 = 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147669, 147667, 147665?\nAnswer: 147663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 2 = 2*o + 10, 5*o - 12 = -3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5717 smaller than 5737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/305? (a) -4.4 (b) 0 (c) 1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 9 = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 12:48 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1018947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -212499*k**2 - 3*k + 2. Let v be o(2). Round v to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.44 + -1.4. Let o = m - 5.04. Which is the biggest value? (a) o (b) 2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 19516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32574*k - 32569*k = -5*o - 15, 4*k + 11 = -5*o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 17*r**2 - 21*r + 16. List the prime factors of q(-18).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/5))**(-19) assuming n is positive.\nAnswer: n**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 873 a factor of 3279332835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 67*l + 13241. Let z be c(-197). Let i be (3\/4)\/(1\/12). What is the highest common factor of i and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 81 + -81. What is the nearest to c in 3, -2\/3, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3240234028.\nAnswer: 2, 6397, 126631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence icq when three letters picked without replacement from ijiiijjjjjqjqjqjjc.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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 common denominator of 103\/3160 and -61\/91245?\nAnswer: 729960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.936429 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n**3 - 9*n + 2. Let s(j) = -j**3 + j - 1. Suppose -1207*v = -1555*v - 348. Determine v*z(u) - 6*s(u).\nAnswer: u**3 + 3*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.9 - 7. Let h = 1 + y. Let r = -3730 + 14917\/4. Put h, -3, r in ascending order.\nAnswer: -3, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*c**2 + 15*c**2 + 25 + 21*c**2 + 5 as n + g*c + z*c**2 and give n.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a hour in seconds?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -3)*(-2)\/(-5). Let u = -0.01 - -2.01. What is the nearest to 2\/3 in u, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 134556012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1109\/6 or 186?\nAnswer: 186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 517 - 0.1\nAnswer: 516.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 2609 = -5*w, 5*i + 83 + 464 = w. Let g(j) = j**3 - 3*j**2 + 3*j - 1. Let n be g(3). Calculate the greatest common factor of w and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from {r: 2, f: 7, n: 1, b: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11744 and 1756.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 5:59 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/13, 60, 0.5, 56, -4, 4?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 66*s - 69*s + 270. Is (-3)\/(s\/6) - 18472\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(847)*2)**2 + -1)*-2 + 1 + -3.\nAnswer: 27094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3 - 1 + (-3 + 2 - 1)*(0 - 3 + 1))*(-3*i**2 - 2*i**2 - 3*i**2).\nAnswer: -88*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/24)\/(15990\/(-9594))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5c (base 16) to base 10\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/711? (a) -0.5 (b) -2\/21 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is df59 - -2?\nAnswer: df5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**4 + 4*p**3 - 4*p**2 + 4*p - 2. Let n(s) = -s**3 + s**2 - s - 1. Let h(t) = -i(t) - 4*n(t). What is the first derivative of h(k) wrt k?\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**5\/40 + 7*s**4\/24 - s**3\/6 - s. Let x(z) be the second derivative of g(z). Give x(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1355 - -0.6045. Sort q, 4, -3 in ascending order.\nAnswer: -3, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2601?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 87360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((840\/80)\/(-21))\/(4\/1)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/65? (a) 4 (b) -1 (c) -0.3 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 283, 639, 1137, 1777?\nAnswer: 2559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 11 - 5*p**3 + 2*p**5 - 11. Let c(n) = -n**5 + 6*n**3 - n. Let m(f) = 5*c(f) + 6*v(f). What is the second derivative of m(q) wrt q?\nAnswer: 140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 776649\/58 - 9\/(-2)?\nAnswer: 3, 5, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8550, 2\/7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*z - 277 = 0. Let v = z + -3. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 851.\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 17369 = -4852. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 13) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5956 + -5872. Which is the biggest value? (a) -0.1 (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 30 = 15*c - 13*c, -7*q - 2 = -2*q - 2*c for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/165 and -79\/179861220?\nAnswer: 179861220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21469, -42959, -64451, -85945, -107441, -128939?\nAnswer: -150439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2054957 and 402?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/((sqrt(4) - sqrt(44)\/(-3*sqrt(11))) + sqrt(4))*1.\nAnswer: 3*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l**17*l)*l*(l\/(l\/(l\/(l**(-6\/7)\/l))))\/l*l*l\/l**(2\/7)*l\/(l*l**(-2)))**(-25) assuming l is positive.\nAnswer: l**(1650\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7039.00099 + 7039. Round y to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.057 to 1 dp.\nAnswer: -9.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8674921 is divided by 210?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**37*d)\/(d**(-10)*d))\/((d**(-2\/31)\/d)\/(d**(-11)\/d)) assuming d is positive.\nAnswer: d**(1118\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8899232914222+2\nAnswer: 8899232914224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2663360?\nAnswer: 2, 5, 7, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 637960 to the power of 1\/2, to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 5:58 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2065 is divided by 74?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/8, -11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 154469376 by 38656.\nAnswer: 3996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10\/1127 - 86699\/9016. Is -11 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-159)\/(-1749))\/(2\/418). Solve 20 = s*p - 9*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -2*o**5\/5 + 43*o**4 - 1680*o**3 + 26656*o**2 - 87808*o - 252. Find q, given that l(q) = 0.\nAnswer: 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -5*s**3\/6 - 432*s. Let m(x) be the third derivative of 5*x**4\/12 + 2*x**2. What is -4*m(p) - 7*t(p)?\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201 (base 4) to base 11.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 1304 = 4*y, -4*y = -5*c - 5*y + 1624. Suppose 2*k - 97 = c. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -608 + 599 + -2 + (-1 - -9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36.3 + 3312.44.\nAnswer: 3348.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4732 - -7676. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 162428.5515 to the nearest ten.\nAnswer: 162430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**3 - 4*l**2 - 3*l + 4. What is the remainder when 834 is divided by y(-3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1293815?\nAnswer: 5, 258763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n*n\/n**(2\/11))))**(-10)*n**(-10\/7)*(n**(7\/6)\/n)\/n assuming n is positive.\nAnswer: n**(-9445\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1008)*4*6*-2)**2 - (((sqrt(1008) + -2)*-6 - sqrt(1008))*-3)**2*-5.\nAnswer: -90720*sqrt(7) + 23131008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/31 (b) 2\/15 (c) 11 (d) 1\/19 (e) -1 (f) -2\/9 (g) -1\/44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -2.68256899?\nAnswer: 0.804770697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0, -2, -9, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -26*y - 127. Let v be p(-5). Calculate the greatest common divisor of v and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4887 or 4775?\nAnswer: 4775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1132400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 2:40 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 5bbc?\nAnswer: -5bc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 14, 0.1, -17, 5, -0.2 in descending order.\nAnswer: 14, 5, 0.1, -0.2, -12, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1452)*2)\/(sqrt(18)\/(sqrt(12)*-5 + sqrt(3) - sqrt(3))).\nAnswer: 1320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9778509?\nAnswer: 3, 13, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**6\/8 - 2*j**5\/5 + 2*j**4\/5 + 31*j**2\/2 - 94. Let t(b) be the second derivative of q(b). Factor t(m).\nAnswer: 3*m*(5*m - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1646510.733 rounded to the nearest one thousand?\nAnswer: 1647000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7851 - 57678.7.\nAnswer: -49827.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x + 39488 + 726250 = 0. Let m = -24324 - x. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-76590)\/(-225) - (-2)\/(-5). Is w - 0*(-2)\/10 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.56925 to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 + (-3 - -8))*(-2)\/(-5). Suppose 50 - u = 4*c + 3*m, -5*c + m + 48 = 0. Solve c*i = 5*i + 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459 smaller than 1459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/(-6))\/(6\/8). What is the third derivative of 2*y**2 + 0*y**h - 29*y**3 + 4*y**2 wrt y?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-57)\/(-15)*-2)\/(12\/(-90)). Let s = 26 + -19. Let y be (-14)\/(-3)*(s - -5). Which is bigger: y or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1713262916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342 - 77 = y - l, -5*y + 4*l + 1326 = 0. Let b = y + -263. Solve 1 = -2*x - 3*k, -2 = -k + b*k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/25)\/(1\/(-5)). Let d = 291 + -292. List the prime factors of ((-1)\/n)\/(d\/(-184)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (54 + -44)*((-15)\/(-10))\/(-3). Put 1, p, -1\/38, 4\/7 in ascending order.\nAnswer: p, -1\/38, 4\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 272851, 272852, 272853?\nAnswer: 272854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 9*l**2 - 11*l + 8. Let t be r(-7). Let c be 8\/(-24) + t\/(-3). Let z = 5 + c. Solve y = -y - 3*n + 1, 5*y + z = 4*n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -7*g**2 + g - 1. Let n be b(1). Let c = 13 + n. Suppose -5*j + 64 = 33*j - 164. Calculate the greatest common divisor of c and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 1640?\nAnswer: 1636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2133.2 (b) -2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 10*z**2 + 304*z - 1959. Calculate b(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**1\/j**2*j**(2\/3)\/j**(1\/2)*((j*j*j**(1\/9))**(1\/34))**(-8\/7) assuming j is positive.\nAnswer: j**(-1937\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -331\/6, -112.\nAnswer: -112, -331\/6, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 262 + -261.5. Which is the third biggest value? (a) 5 (b) 0.03 (c) 1 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -5, -7 + 2 = 4*i - 5*t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68351 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -25*t**2 + 1. Let m(j) = 2*j**3 + 14*j**2 - 38*j - 7. Let f be m(-9). Let s(o) = -5*o**2. Determine f*s(y) - 2*i(y).\nAnswer: -5*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 267260 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17781831 and 2922?\nAnswer: 35563662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 44\/16 - 3 - (-9)\/4. Let q(g) = -2 + 4 - l - g. Determine q(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.19 + 3.21. Let x = -0.42 + j. Which is the biggest value? (a) 3 (b) 4\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 k when three letters picked without replacement from zkzkzzzzzzzzzkzzkz?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g - 2*g + 2*g - 464*g + 106*g + 221*g + (0 + 3 - 5)*(2*g - 3 + 3).\nAnswer: -139*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55226.64mg to tonnes.\nAnswer: 0.00005522664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*1*-1 + sqrt(114) + (3*sqrt(114)*5 + sqrt(114) - sqrt(114)))\/(3*-6*(sqrt(180)\/sqrt(3))\/sqrt(10))*-1.\nAnswer: 5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.6, 0.4, -0.04?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/(90\/216)*-5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 3, 1, 0.6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40\/14 - (-1)\/7. Suppose 0 = -4*b - 5*m + 5 + 59, -4*m = -b + 16. Suppose -y*q - 3*g = 2*q - b, 3*g = 3*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 7. Let t be a(5). Let q be t\/(-4)*0\/(-3). Let b be 3 + 0 + q\/(-1). Solve 4*j - b*j + 2 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3310*j + 5*j**4 - 436*j**2 - 1661*j - 1648*j to v*j**4 + d*j**3 + r*j**2 + s*j + x and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 9*o**3 - 9*o**2 + 36*o - 193. Is a(18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11977.\nAnswer: 7, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -550 - -365. Let r = b - -982. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.097*-5.\nAnswer: -0.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/132)\/(-27 - 9696\/(-352))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.9 + 2. Let s = -40 + -15. Let h = 54 + s. What is the closest to h in -1, l, 1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/121 and 79\/6039.\nAnswer: 66429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2045 = 182*c + 589 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*o**2 + 26*o**2 - 14*o**2 - o**2 as h + m*o**2 + s*o and give m.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -200 - -138. Let v = 61 + r. Calculate the remainder when 42 is divided by 130\/12 - v\/18*3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(327672\/(-861)))\/((-21)\/(-36))?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = o - 3*g + 1, 0 = o + 4*g - 16. Suppose 10*y - 5*y - 5*n = -15, -2*y - o*n + 18 = 0. Does 2 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6684189 to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -5)\/(6 - -28)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 u, and 2 w when four letters picked without replacement from uwwulzlzllw?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i - 3. Let v be r(-2). Suppose 3*a - v*z + 10 = 49, -2*a + 22 = -3*z. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2819182 is divided by 281918.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-274206)\/115)\/((-6)\/15)*(1 + 0).\nAnswer: 3, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*c = -8. Suppose k - c*f = -7399988, -2*k + 5*k = -5*f - 22200015. Round k to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**3 - 3*h**2 + 2*h - 2. Let v be o(2). Is 15 a factor of 10*(0 - v\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1865433?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a decade in months?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*d**2*i + 2*d**2 - 109296*d*i + 15525400*i wrt d?\nAnswer: 14*d*i + 4*d - 109296*i","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 k when two letters picked without replacement from zxkkkxkkyzikkz.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 + x**4 - 11*x**4)*(-57*x + 22*x - 15*x) - 2*x**5 + 2*x - 2*x + (-x**5 + 0*x**5 + 0*x**5)*(-3 - 1 + 3).\nAnswer: 549*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from oqnoqqoooq.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/19, 103975, 5, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 635 divide 5717046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -282*z + 1 - 3 - 2*z**2 + 269*z in the form v*z**2 + c*z + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 152 + -150. What is the third biggest value in -4, -160, u?\nAnswer: -160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 129 + -237. Calculate the smallest common multiple of -3 + (10\/(-8))\/(9\/w) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m**3 + 3*m**2 - 4*m + 3. Let b be l(2). Let r be (b\/10)\/(1\/2). Is (78\/(-15))\/(1\/r) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 24 (c) 2\/3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(167609\/55874 + -3)?\nAnswer: 2, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 444*w + 57554 + 1414 = -690*w for w.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20037680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**3 - 6*o**2 + 4*o - 209. Is x(9) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -620, -615, -606, -593, -576, -555, -530?\n\"Answer: 2*s**2 - s - 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/((-24)\/45))\/(30\/(-40)). Let p(k) = -4*k**3 - 14 + k**3 + 9*k**2 + 2*k**3 + 11*k. Let h be p(n). Put h, 0, 3 in ascending order.\nAnswer: h, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 301 + -3a54a5?\nAnswer: -3a51a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(1 - -3)\/1. Suppose -12 + 32 = -l*b. Sort -4, b, 10 in decreasing order.\nAnswer: 10, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 169911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 10. Let t = v + 3. Suppose -3*s + 12 + 24 = t. Calculate the least common multiple of s and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.2, -5, -0.3, -1\/2, -314?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(250\/(-15)))\/(48\/80)*-2 + -112.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (1 - 1) - (68 - 67)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of 13*p**5\/60 + p**4\/8 - p**3\/3 + 13*p**2. Suppose 17 = i + 4*v, 0*v = 4*i - 4*v + 12. What is the tens digit of y(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 2030.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 + 16?\nAnswer: 1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -849147 equal to -849145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*y - 3*y + 2*y)*(2 - 3 + 3) + 0 + 2*y + 0 - 3*y + 0*y + 2*y - y + 0*y - y)*(y + 4*y - 3*y)*(-y + 2*y + 0*y).\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + 1. Let x = -2358 - -2610. Calculate the greatest common divisor of r and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {b: 1, t: 2, r: 1, y: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.7 - 15. Suppose 10 = 3*t - 8*t. Let r be (0 - (-1 + t))\/(-7). What is the closest to 5 in r, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 11:53 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18615491 to the nearest integer?\nAnswer: 4315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 7*x**4 - 46*x**3 + 39*x**2 = 0.\nAnswer: 0, 1, 39\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 10, u: 2}. What is prob of sequence nu?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 557027*g**5 - 2*g**4 + 16*g**3 + 29733526*g**2 wrt g.\nAnswer: 33421620*g**2 - 48*g + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1818647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(39)\/sqrt(3) + (-2 + sqrt(13))*-6.\nAnswer: -5*sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 12:34 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwucmmmbbmmwwmwwmmmm. What is prob of sequence bb?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64584*x**2 - 6236*x + 132.\nAnswer: 4*(46*x - 3)*(351*x - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**5 + 100*j**4 - 3244*j**3 - 3364*j**2 + 122952*j - 260064 = 0.\nAnswer: -43, -7, 3, 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 12791308.49 to the nearest 1000.\nAnswer: 12791000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**5\/20 - u**4\/3 - 11*u**3\/6 + 7*u**2 - 9*u. Let y be k(6). Solve f - d = -5*d + 20, -4*f - 4*d = -y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/(-7) + (-35)\/620*-34. Are 0 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5229, 4436, 3685, 2976, 2309?\nAnswer: 1684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*(a*a*a**17*a*a)\/a)\/a)\/(a**(-13)\/a))**31)**(-2\/187) assuming a is positive.\nAnswer: a**(-124\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -114 - -188. Is s a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 300 + -22020202?\nAnswer: -22014402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -925 divided by 53869\nAnswer: -925\/53869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -28451, -57577, -86699, -115817, -144931, -174041?\n\"Answer: 2*v**2 - 29132*v + 679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 851 + -503. Suppose 0 = 334*k - q*k + 6944. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3500 - -3578. Calculate the remainder when p is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + 2*g + 9 - 21 = i + g, -5*i - 32*g - 18 = -25*g for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -47*k - 13. Let t(g) be the third derivative of 23*g**4\/24 + g**3 + g**2. Let o(n) = -4*a(n) - 9*t(n). Is 21 a factor of o(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 35 = -4*i + 5, 0 = i + 4*m. Does 3 divide (0 - 0 - i)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 26. Suppose 2*u + 4*o = 148, -5*u - r = 2*o - 404. Is 9*(u\/12 - 0) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-6 + 4 - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of y**2*z**3 - 2*y**2*z - y*z**5 - 67*y*z**2 + 29*z wrt z.\nAnswer: 6*y**2*z - 20*y*z**3 - 134*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(6 - 906\/150) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 137097 or 137012?\nAnswer: 137012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/48110 and -11\/136.\nAnswer: 192440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/38 and (-38)\/44 - (-2 + 5).\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**5 - 3920*h**4 - 27095088*h**3 - 108333184*h**2 - 108317440*h = 0. Calculate h.\nAnswer: -2156, -2, 0, 3140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0*l = -20. Let o(v) = v + 12. Let w be o(l). Find the second derivative of -p - 2*p**2 + w*p + p wrt p.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 6*d**2 + 3*d - 7. Let l = -5 - 0. Let f be b(l). Solve -3*i + 9 = 0, -f*o + 7 - 31 = -5*i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476159599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 18 + (1 - -2). What is the third derivative of 3*c**2 + 21*c - c**4 - w*c wrt c?\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73101949?\nAnswer: 19, 3847471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -eb8557 (base 15) in base 6?\nAnswer: -1040223244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79189591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10496647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -2\/81, -4.7, -3\/5, 0.2, -115, -0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.77 + -302.77. Let m = t + 294.77. What is m rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4 + 6*(sqrt(108) + 0 - sqrt(108))*-4 + -2)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6.1247 (b) -1 (c) -0.3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 810370223\/1344 + -602954. What is the common denominator of 71\/80 and b?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 538 = 2*g, -2*a - 3*g = -5*a + 417. Let l = -28 + a. 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: Let w(b) = -11*b + 13. Suppose 3*r - 15 = -2*r. Suppose 5*n - 1 = -5*p + r*p, 5*p - 75 = 2*n. Let l(m) = -5*m + 6. Determine p*l(o) - 6*w(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 s when two letters picked without replacement from lemws?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(98) - (1*sqrt(98) + sqrt(98) + -4))**2.\nAnswer: -456 + 224*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*j)*(3*j**3 + j**3 - 5*j**3) + (2*j**2 - 3 + 3)*(7 - 1 - 2*j**2 - 7).\nAnswer: -6*j**4 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z - z + 2*z)*(-2*z + 3*z + z + (0 + 2 - 4)*(9 + 7*z - 9)).\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + (-44)\/8)\/(2\/(-4)). Suppose 0 = f*k - 4 + 7. What is the tens digit of (274 - k)*10\/75*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 428 - 93*u**2 - 145*u**2 + 236*u**2.\nAnswer: -2*u**2 + 428","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13248442?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 + -1.57. Let l = -0.57 - h. Which is the closest to 3? (a) 0.4 (b) l (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*k - 10, x + 4 + 1 = 3*k. Solve x*y = -0*y + 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 5*l**2 + 5*l + 8. Let c be (-10)\/(-15) - (-16)\/3. Let x be t(c). Put 0, -4, x in descending order.\nAnswer: x, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*a - 147 = 0, -21*f + 22*f + 4*a - 133 = 0. Are f and 143 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 5, 48, 2 in ascending order.\nAnswer: 2, 5, 39, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*n - 24*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5250*m**2. Let b be z(-4). Round b to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -0.03587.\nAnswer: 0.14348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6 + (-37345)\/(-21) + 0. Suppose -4*j + 2008 = 4*s, -5*j + 5*s + 731 + v = 0. What are the prime factors of j?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -1661170*r**3 - 1995*r**2 + 3990*r - 5985. Let g(h) = 3329*h**3 + 4*h**2 - 8*h + 12. Calculate -1995*g(j) - 4*o(j).\nAnswer: 3325*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 50*w. Let z(d) = 6*d**2. Give c(z(q)).\nAnswer: 300*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sursssurrsrss. What is prob of sequence urr?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18407, -18405, -18403, -18401?\nAnswer: -18399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4 - 108136*y**3 - 1462106792*y**2 - 11691664320*y - 23379868800 = 0 for y.\nAnswer: -27030, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 27317840.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 2*o - 4. Let u be z(-6). Solve 5*c - c - u = -2*s, -5*s - 3*c + 15 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 148086432 by 153936.\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*w - 5. What is the third derivative of -2*f**3 + w*f**3 + 4*f**3 - f**2 wrt f?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*i - 59*i - j = -71, -120*i + 127*i = -3*j + 293 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(672) - (sqrt(672) + sqrt(672) + sqrt(672)*3)) + sqrt(252)\/(sqrt(18)\/sqrt(3)))\/(-4*(5*-2*sqrt(216) - sqrt(216))).\nAnswer: -5*sqrt(7)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 112020000122012 (base 3) in base 11?\nAnswer: 42a2a99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16411 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -408316491 to the nearest 1000000.\nAnswer: -408000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -128440289.7401 - 22052.2599. Let h = f + 128462340.90000026. Let x = -1.1 - h. Round x to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 66*v - 32*v + 875*v**2 - 1030*v**2 as r*v + j*v**2 + w and give j.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, c: 3, d: 1, h: 6, r: 2, n: 1}. What is prob of picking 1 h, 1 n, and 1 c?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*t - t + t)*(-5 + 5 + 3) + (4 - 2 + 1)*(3*t + 2*t - 3*t) to n*t + d and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.006 times -2.2\nAnswer: 0.0132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5300 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 3*u - 3. Let j be d(2). Let p(v) = -2*v**2 - 14*v - 12. Let w be p(j). Solve w + 12 = 4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -9*o + 7. Determine h(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4447 from 284976013.27.\nAnswer: 284980460.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 48*l - 46. Let c be j(1). Solve 14 = r + 3*v, 5*v = -c*r + 4*r + 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1418*m**5 - 2*m**2 - 55*m + 12.\nAnswer: 28360*m**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 324\/(-20) - (-2)\/10. Let u = -22 - z. Let c(b) = -9*b + 8. Let w be c(u). Round w to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 102 - -36?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 0 - 27\/4*u**2 + 0*u - 13\/2*u**3 + 1\/4*u**4 = 0.\nAnswer: -1, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*c + 28*c + 19*c in the form z + o*c and give o.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rulrrrurrlln. What is prob of sequence lr?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-120)\/(-50)*10\/4. Find the third derivative of -11*r**2 + 5*r**g + 12*r**6 - 20*r**6 wrt r.\nAnswer: -360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*y**3 + 8*y**3 - 6*y**3)*(-5*y**2 - y**2 + 3*y**2).\nAnswer: 24*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/8 - 10\/(-40)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((583\/(-106))\/(-11))\/((-110)\/108 - -1)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 269.2965289 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 813629 = -3*o, 20*o = 17*o + r + 813632. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34980 and 69405.\nAnswer: 161852460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 49 - (838 - 763)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/11 - 300\/(-264)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*n - 274, -5*g - 5*n + 314 = -2*g. What is the smallest common multiple of (-6)\/(-45)*9*100\/15 and g?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.116 + -0.184. What is the second biggest value in -0.2, -2\/11, o, 0.14?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 63*o - 116. Let q be v(35). Is -5 + -3 + -3 + q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (188\/16 - 12)\/(2\/(-8)). Let j be 2 + s - (618\/36 + -6). Which is greater: j or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-662)\/(-993))\/((-4)\/456*4).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1611196255 + 21.6.\nAnswer: -1611196233.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = -58 + 18 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b + 3*p - 117 = 0, b = -29*p + 34*p - 195 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + l. Let f(a) be the second derivative of -1\/30*a**6 + 0 - 1\/2*a**2 + l*a**3 - a + 1\/6*a**4 + 0*a**5. Factor f(b).\nAnswer: -(b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 1646*b + 21248. Give a(-13).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6\/7 + -11\/21. Let q = -1 - -0.5. Which is the biggest value? (a) d (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 24343\nAnswer: 2\/24343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttwwq. What is prob of sequence twt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.059 + 182330.193435.\nAnswer: 182330.252435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 7*v**2 - 5*v - 4. Suppose -5*g = 26*g - 186. Give b(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.15742 + 0.0843. What is t rounded to three dps?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 12*u - 6. Let x be m(11). Let t(f) = -x - f**2 + 3 + 0 - 3 + 5*f. Let j be t(8). Round j to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96082 is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**5\/30 - l**4 - 7*l**3\/6 + 2*l**2 - 608*l. Calculate b(11).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.016 + 6.684. Let o = q + -6.70063. What is o rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000725222552 rounded to five decimal places?\nAnswer: -0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 241*w**7\/210 + w**4\/2 + 2*w**3\/3 - 5*w**2 - w. Find the second derivative of g(k) wrt k.\nAnswer: 2892*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*w = a - 28, -2*a - 3*w = -23. Let j = 11 - a. Let r be j - 1\/(1 - 2). Solve 12 = -4*u + u + 2*o, -r*u + 4*o = 16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 - -9. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 193 + -63. Does 26 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5d1 (base 14) in base 12?\nAnswer: 80b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24874*x**4 - 7549 wrt x.\nAnswer: -99496*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**6\/120 - p**4\/4 + p**3 + 34*p**2 - 19. Let n(u) = -5*u**3 + 35*u - 35. Calculate -35*j(o) - 6*n(o).\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -6\/1219?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1757721 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4823909 and -4973642?\nAnswer: 149733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11 times -2476.6\nAnswer: 27242.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 5*c + 4, -464*c = y - 463*c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -5. Is 1\/3 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwjyylyy. What is prob of sequence jyl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 10*f**2 + 118*f + 249. Let b(y) = -4*y**2 - 39*y - 88. Determine -17*b(k) - 6*l(k).\nAnswer: 8*k**2 - 45*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**6\/120 - b**5\/30 - b**4\/4 + b**3\/3 + b**2. Let p be m(4). Solve 5*t - o = t - 1, 4*o = 2*t - p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 4 = k. Solve -5*r + 3*a = -22, -2*r + a = 2*a - k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -938, 2 in descending order.\nAnswer: 2, -0.04, -938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102124 (base 5) in base 14?\nAnswer: -6d1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36757057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (22\/(-33))\/((-2)\/9). What is the units digit of 6 - ((a - 3) + -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0.9. Let w = 8.08 + -8. Let k = -1.92 - w. Are s and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-25))\/(30\/50)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t**2 + t - 19. Let w(b) = -19*b**2 + 6*b + 895. Let q(k) = 6*l(k) - w(k). Let m(i) = 2*i**2. What is m(q(z))?\nAnswer: 2*z**4 - 4036*z**2 + 2036162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-44)\/8 - 2)\/((-3)\/(-6)). What is the tens digit of (10\/d*153)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 1063?\nAnswer: 15\/1063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 178 - 428. Let y = s - -289. What is the remainder when y is divided by 32?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 + 4*v + 3. What is h(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + -4 + 13 + 1 - (-5 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r**(-1\/23)\/r)\/r)\/r*r\/(r*r**(-1\/46)))\/(r**(33\/7)\/(r**(-28)*r)))**(2\/37) assuming r is positive.\nAnswer: r**(-10863\/5957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v**2 - 53*v + 44. Let f be t(21). Suppose 6*p = 5*s + 11*p - 1880, 3*s - p - f = 0. What are the prime factors of s?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*h = 6, -f - f = -4*h. Suppose 2739 = 3*y + l + f*l, 2*l + 4565 = 5*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/5, -0.4, 1, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -257*g + 585*g - 310*g + 100*g**4 + 2 to w*g**4 + i*g**2 + f + y*g + t*g**3 and give w.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -113*c + 7667. What is w(68)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 3*p**2 - 9*p. Suppose -28 + 22 = -n. What is c(n)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2829 = 25*f - 2*f. What is the remainder when 385 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 - 301 = -9*b. Calculate the smallest common multiple of 122 and b.\nAnswer: 2806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*k**3 + 12*k**3 + 11*k**3 + 13*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + (sqrt(68) + 3*sqrt(68) + 1 + sqrt(68))**2 + -4)*6 + 4.\nAnswer: 720*sqrt(17) + 61168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 10117576*h. Let q(z) = -z. Determine f(q(u)).\nAnswer: -10117576*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from quuvvvve. Give prob of picking 1 v and 2 u.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.26 + 15.74. Let k = s + -16.000001. Round k to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**2 + 107*a + 153. Let s be l(-26). Suppose 61 = -2*f + 213. Which is bigger: f or s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4024*k - 20097. What is q(5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1143 (base 8) to base 13.\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 15) + 4 + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -425054909*l**3 - 5659022*l**2?\nAnswer: -2550329454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -3, 0, 2414, -37, 1 in decreasing order.\nAnswer: 2414, 39, 1, 0, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22053*b + 313911 = 19370*b for b.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*a**2*l - 743*a**2 + a*l - 4*l + 20391 with respect to a.\nAnswer: 48*a*l - 1486*a + l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (21\/(-6) + 3)*10. Let t = -0.9 + -0.1. What is the smallest value in t, c, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 15*x**2 + 90*x + 16. List the prime factors of h(-9).\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34950352 rounded to the nearest one million?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 - ((-2 + (-3 - -2) - (-729 - -724)) + 2).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b - 9. Let z be l(-2). Let j be (1\/(-1) + 1)\/2. Suppose 4*x - 1 = z, j = -n + 3*x. Put n, -1, -2 in descending order.\nAnswer: n, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d + 71. Let l(a) = -a + 23. Let i(g) = -7*l(g) + 2*z(g). Let c(t) = 2*t. Determine i(c(y)).\nAnswer: 6*y - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 363*y**3 - y**2 + 14*y - 20. What is the hundreds digit of r(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0615 + 0.28614947247.\nAnswer: 0.22464947247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 12*k + 19 = 0. Let m = k - -23. Which is the closest to 0? (a) 1\/3 (b) 0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.33 - -8.5.\nAnswer: 9.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*s + 61*s = 225 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**2 + 13*v + 82. Is u(15) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9013384423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*u = -5*u - 152*u - 7812 for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 170 (base 12) to base 9\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5 = -2*r. Suppose 3*o + 9 = f + r, f = 2. Let t(v) = -1 + 2*v - 5 - 1 + 5. Calculate t(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11044, 8825, 5134, -23, -6640, -14711, -24230, -35191?\nAnswer: -47588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -320820.\nAnswer: 1\/80205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*n - 418 = -18 + 55 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 146 + -98. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0312 + -80.9688. Which is the third biggest value? (a) 1 (b) z (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (-6 - -3 - 0 - 1721). Let o = g + -1172. Let i = -344 + o. List the prime factors of i.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 17*w**2 + 2163*w - 38618. Calculate p(18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2059 is divided by 876.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -y - 3, -y - 9 + 4 = 0. Let u(x) = 17*x. List the prime factors of u(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 5:20 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 919 + 0.33340927242.\nAnswer: 919.33340927242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 196 - 194. Suppose 1584 = g*j + j - 3*p, j + 5*p = 534. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4064408 and 70076.\nAnswer: 4064408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i - 17. Let z = -25 + 21. Calculate the remainder when 27 is divided by p(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-8)\/(-1 - 0). Let x = 3 + -4. Let r = x - v. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2153.\nAnswer: 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3014 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11295128783\/24 - 470697924. Let x = -67573 - p. Let r = x - -46\/3. Is r less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.3829116 rounded to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2905*v**5 + 9361*v**3 + 1378*v**2 - 9590*v + 13?\nAnswer: 174300*v**2 + 56166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -4.5, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/(-30)*(-1)\/(-1)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13.5+-152\nAnswer: -165.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/(-20))\/(-8 + (-956)\/(-120)). Solve 3*z - 5*d = 5*z - 18, -4*z + 5*d - n = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53828219*c + 164435881 wrt c.\nAnswer: 53828219","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u**3 - 2422138*u**2 - 6459000*u - 3229496 = 0 for u.\nAnswer: -403687, -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -884, -3610, -8160, -14540, -22756, -32814, -44720, -58480?\nAnswer: -74100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-5))\/((-10)\/(-300)). Suppose 9*n = r*n - 153. What are the prime factors of n?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8962 is divided by 6160?\nAnswer: 2802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -0.206, 1449?\nAnswer: -0.206","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**7\/70 + 2*o**6\/45 - 2*o**3\/3 + 4*o. Let s(n) be the second derivative of j(n). Find the third derivative of s(y) wrt y.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(55) - sqrt(1375)*-2)\/(-1*sqrt(5)*-3))*-1.\nAnswer: -11*sqrt(11)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*m**2 - 11*m**3 + 1614*m**2 - 5*m**3 - 30 + 30 - 1758*m**2.\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 101 and 19089?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1336 - 721. Is 41 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2136, -1\/2, -0.4.\nAnswer: -2136, -7, -1\/2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 - 7)\/(-2 - -1). Suppose -4*v + 5*c + 17 = s, 0 = -3*v - 0*v + 3*c + 12. Find i, given that -17*i + 9*i + 6 + 6*i**v - 14*i**2 - 6*i = 0.\nAnswer: -1, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4092*l**3 + 4548*l**3 - 9270*l**3)*(-1 + 1 - l) + (-4*l**2 + l**2 + 0*l**2 + (0*l - l + 0*l)*(0 + 0 - l))*(3*l**2 - l - 6*l**2 + l**2).\nAnswer: 8818*l**4 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4)*2)\/1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7077446.8 rounded to the nearest 10000?\nAnswer: -7080000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.327 - 1.873. What is the closest to 0 in w, -4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**3 + 96*s**2 + 164*s - 264 = 0. Calculate s.\nAnswer: -22, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (8 + (-1 - 7 - -28)) - 2?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3602*r - 3664?\nAnswer: -3602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - 1 - ((-25 - -55 - 43) + 1 + 11).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/3, 0.1, 41, -4, 4, 6?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-5 - -4) + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8224*t - 39356.\nAnswer: -8224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -29) + 89 + -61?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-20) - (72\/(-70))\/6?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 0)*(52*f**3 - 46*f + 48*f + 90*f**3) to the form a*f**2 + y + p*f + n*f**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -461 - -488. Let r(o) = 3*o**2 - 14*o - 106. Is r(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6951 by -944.\nAnswer: 6951\/944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -7.7. Let c be (-40)\/(-24)*(7 + -4). What is the second smallest value in q, 3, c, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/37952 and -151\/4938504.\nAnswer: 39508032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 149, 231, 315, 401, 489, 579?\nAnswer: 671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 11*k**2 + 3*k**2. Let a(c) be the third derivative of -c**5\/30 + 128*c**2 + 1. What is m(a(j))?\nAnswer: 60*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 5.28?\nAnswer: -5.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16430*t = 16512*t - 549 - 763 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31761557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23418505?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(-14\/9))*y)**(-2\/19)*y**(-3\/7)\/y**(1\/41) assuming y is positive.\nAnswer: y**(-19360\/49077)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q - 2*q + 3 + 1 - 10. Let w be c(-13). Let p(m) = 5*m + 3 + 5 - w. Give p(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -1, -2, 5, -8, 45 in ascending order.\nAnswer: -8, -2, -1, 5, 31, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.072*6.8\nAnswer: 0.4896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1132232 (base 6) to base 10\nAnswer: 58844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 311388 divided by 132?\nAnswer: 2359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v**2 - 1875*v - 4340. Let o(z) = -12*z**2 - 3755*z - 8682. Let n(a) = 7*j(a) - 3*o(a). What is the first derivative of n(r) wrt r?\nAnswer: 2*r - 1860","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -123 + 134. Calculate the remainder when 47 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2317 + -2247. Let h(g) = -230*g**2 - 70. Let k(f) = -10*f**2 - 3. Calculate p*k(u) - 3*h(u).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -118*v**2\/5 - 184418*v + 922680 = 0.\nAnswer: -461340\/59, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 2*k**2 - k**2)*(-k**3 + 3*k - 3*k) - 5*k**2 + 7*k**5 - 3*k**5 + 3*k**2.\nAnswer: 5*k**5 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 + 159962*g**3 + 3198080238*g**2 - 15994400490*g.\nAnswer: 2*g*(g - 5)*(g + 39993)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 493176?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e0 + 71bc5?\nAnswer: 71ca5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10\/17 - -1\/85. Let p = -5737\/3 - -1913. Suppose 3*m + 4 = -2*m - 4*g, -3*m - 3*g = 3. What is the closest to -1 in p, j, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2148 greater than -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.9 less than -0.2123?\nAnswer: -11.1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*u - 1708 - 2045. What is the greatest common divisor of 695 and u?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (168\/44 - 4) + (-2)\/(-11). Suppose i*z + 1330 = 10*z. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 10*c - 129. Let r(u) = 3*u - 34. Let d(b) = -2*k(b) + 7*r(b). Calculate d(10).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1849007, 1849011, 1849019, 1849031, 1849047?\nAnswer: 1849067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6880 and 501506420.\nAnswer: 4012051360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -986*a**4 + 346 wrt a.\nAnswer: -3944*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.5756 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(108)\/sqrt(3) - sqrt(36)) + sqrt(216)\/sqrt(6)*-1)\/((sqrt(1728) + 2*sqrt(1728)*1)*-4).\nAnswer: sqrt(3)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/11 in 1, -55, 261, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -5, 3, -2\/17, 6, -2\/7 in decreasing order.\nAnswer: 25, 6, 3, -2\/17, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -563*g - 240 = -571*g. Let r = -28 + g. Solve -4 = -t + o - 2, 0 = r*t + o - 13 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 8*r**2 + 4*r - 13. Let x be y(9). Let a = -18 - x. Suppose -7*u + 2*u + a = 0. Solve o = -3*o + u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 = 3*g + 518. Let c = -38 - g. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-461)\/9220)\/(1\/(-20))*(-4)\/13.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 19211000 to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.048 * -13.\nAnswer: 0.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -111291.210132 + 111337.21. Let h = -46 + s. What is h rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2. Let m(y) be the third derivative of 0*y**3 + 0*y**4 + 0 + 0*y + 13*y**2 - 13\/60*y**5. What is t(m(g))?\nAnswer: -338*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/14 + (-2)\/(-7). Suppose -5*v = -4*a - p*v, a + 15 = 5*v. Let t = 0 + a. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3323 times -0.12\nAnswer: 0.039876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(672)*-4 - sqrt(462)\/(sqrt(44)\/sqrt(4)))\/(-6*2*sqrt(726)).\nAnswer: 17*sqrt(7)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/4751?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3857 + 3829 - 159*p**3 - 11508 + 3822.\nAnswer: -159*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603186728.\nAnswer: 2, 37, 2037793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 206654531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + a + 4. Let u be z(0). Let s = 1 + 2. Let k(n) = -3*n**s - 1 + 3*n**3 - 5*n + n**3 - u*n**2. What is k(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b*x**4 - 879*b*x**2 + b + 49*x**4 - 13693*x**3 + 14711 wrt x.\nAnswer: -48*b*x + 1176*x - 82158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r - 1. Let h(w) = w. Let c(b) = -5*h(b) - 2*i(b). Let f be c(0). Let t = -423\/4 + 107. Do t and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19752289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**8\/1344 - s**7\/210 - s**6\/80 - s**5\/60 - s**4\/96 - 4*s**2 - 4*s. Let g(q) be the first derivative of z(q). Factor g(n).\nAnswer: -n*(n + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**4 - t**3 + 114*t - 7. Let q(s) = -s**4 + 57*s - 4. Let n(c) = 4*j(c) - 7*q(c). What is the second derivative of n(x) wrt x?\nAnswer: 36*x**2 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (3 + (-3 - -6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12011010 (base 3) to base 5\nAnswer: -110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 0*z**2 + 3\/4*z**4 - 2*z - z**3 - 12 + 3\/4*z**5. Let a(d) be the first derivative of f(d). Factor a(y).\nAnswer: 3*y*(y + 1)*(5*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 129 and 11352813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 79*p + 131 + 264 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 9:28 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53.8 + -5.8. Let d = -46 + s. Let u be 7\/3 - 4\/(-6). What is the smallest value in u, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwy when three letters picked without replacement from {z: 3, s: 1, m: 2, t: 6, w: 1, y: 2}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**3 - 2*u**3 + 3*u**3)*(-5 + 5 - u) + (-5 + 2 + 4)*(-4*u**4 + 0*u**4 + 3*u**4) + u**4 - u**4 + 2*u**4 - u**2 + u**2 + 2*u**4.\nAnswer: 5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 271299800.3?\nAnswer: 271299794.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2258 is divided by 48?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -111923*d**2*y**3 + 30*d + 46*y**3 wrt d?\nAnswer: -223846*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -3815*m**3\/2 - 6391*m**2 - 7761*m. Find the first derivative of q(u) wrt u.\nAnswer: -11445","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1776, -1779, -1782, -1785, -1788?\n\"Answer: -3*l - 1773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 22*n - 52. Let p be o(-12). Let t = -36 + p. Solve -6*d - t = -2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**2\/2 + 16*z - 7. Let m be d(-11). Solve -a - 8 = -3*n, 5*n + 0*a - m*a = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**1*q)**(6\/17)\/(q*q**5*q**(-2\/7)))\/((q*q**(-3\/5)\/q*q)\/q*(q**3*q*q)\/q)**(-4\/5) assuming q is positive.\nAnswer: q**(-5758\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -169*a**5\/3 - 806*a**4 + 7172*a**3\/3 + 64078*a**2 + 230741*a\/3 - 793016 = 0.\nAnswer: -119\/13, -7, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/4*(11 - 4). Let o = -19 - k. Calculate the greatest common factor of o and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/(-12))\/(2\/(-3)*(-124)\/(-248)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -670912427*p**3 + 278896079 wrt p?\nAnswer: -2012737281*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -3. Let i(c) = 5*c**2 + 2*c. What is the tens digit of i(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -13 + 5 - -9 - 1) + 24\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*n - 5*y - 18, -20 = -4*n + 3*y. Solve -2*a - n*h - 12 = 0, 26 = -4*a + a - 5*h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -82*c + 3. Let h(f) = -2052*f + 76. Let g(m) = -3*h(m) + 76*t(m). Let p(v) = -20*v. Calculate p(g(l)).\nAnswer: 1520*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 93 = -4*p, 10646*r - 44 = 10644*r - 5*p for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 3*l - 8 = 0, 131*a + 39 = 133*a + 5*l for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36137\/787 + 106836812\/2372805. Let d = -1\/335 - i. Let r = -6838\/9 + 130381\/171. What is the common denominator of d and r?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 38 + 13. Let o be (9\/k)\/((-60)\/(-500)). Solve -5*p = -t + o, 2*p = 6*p - 3*t + 23 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 84, 95, 108, 123?\n\"Answer: y**2 + 8*y + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 444 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a day in minutes?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/35971459 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66767 divided by 537.\nAnswer: -373\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nncnrcrrnncrrnrrcrun. Give prob of sequence cc.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20232 - 28461 = 1589*j + 74399 for j.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18041130 divided by 6?\nAnswer: 3006855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2136 - 2478*l + 5332*l - 4198*l with respect to l.\nAnswer: -1344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.008 - -607.\nAnswer: 606.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42722 is divided by 89?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*s = -4*m - 47*s - 41, 32 = -3*m + 4*s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 4*n - 14 = 0, 23 = -2*g + g + 5*n for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27.0000029 - 27. What is s rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 9 = -6*u. Let r(s) = 23*s**2 + 3*s + 3. Is r(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 125112, 125016, 124920, 124824?\n\"Answer: -96*t + 125208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8.5, -8, 87, -181?\nAnswer: 8.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 8:09 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 14*c**3 - 534*c**2 - 366*c - 4112. Determine k(39).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 6*r. Let a(b) = -25*b**2. What is l(a(m))?\nAnswer: 625*m**4 + 150*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 6:37 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3654.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/5 - 177461*u\/5 + 354918\/5.\nAnswer: (u - 177459)*(u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n. Let a(h) = h**2 - 5*h + 1. Let k be a(4). Suppose 173 - 186 = -j. Let i(x) = 2*x**2 + j*x**2 - 6*x - 14*x**2. Give k*i(u) - 4*g(u).\nAnswer: -3*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208867643 - 10956.\nAnswer: 208856687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**(1\/5))\/f*f)\/f)\/f)**(1\/33)\/(f**(-3\/5)*f**12*f) assuming f is positive.\nAnswer: f**(-684\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmm. What is prob of sequence mmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*n + 14*n**3 + 6*n - 14*n**3 - 19*n**4 wrt n.\nAnswer: -228*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55\/2 + 28. Let v be 4\/7 + (-4)\/14. Which is the biggest value? (a) -5 (b) g (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 - 25. What is the first derivative of -2*q**4 - g + 13 + 8 wrt q?\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (-2 + 0 - -2). Suppose g = -3*x + x + 84. Is 6 a factor of ((-6)\/(-9))\/(2\/x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in hours?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -7*a - 31. Let u be l(-5). Suppose -u*r + 1196 + 920 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 618960 to the nearest integer?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1425*h**2 + 2*h + 26. List the prime factors of z(-3).\nAnswer: 5, 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uid when three letters picked without replacement from {x: 7, i: 2, d: 2, u: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 111211202220?\nAnswer: -111211202220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -44*a + 47*a, -5*q + 7423 = -3*a. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1263977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77791281.\nAnswer: 3, 1103, 23509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100909724 divided by -2.\nAnswer: 50454862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 397 - 322. Suppose 2*a - a - 80 = 0. Let m = a + i. What are the prime factors of m?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 2*y - 30 = 0, 2*a + 3*y = 1 - 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*x + 115494*x**2 + 1716*x**3 - 115493*x**2 - 25*x - 422*x**3.\nAnswer: 1294*x**3 + x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -36754 + 3256918191?\nAnswer: 3256881437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a millimeter in micrometers?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50919 and 86658.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11\/44 + (-2038)\/(-8). Suppose -b = -2*z + 3*z. Let h = z + 440. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 13117.\nAnswer: 91819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 185*v - 2603. Determine w(14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -921767*j**4 - j**3 + 1422*j**2 + 277 wrt j.\nAnswer: -22122408*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b\/b**(1\/7)))\/b**(-5\/8)*b**(-7)\/b**(1\/19) assuming b is positive.\nAnswer: b**(-5623\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 57*i**4\/4 - i**3\/3 - 3052*i**2. Let d(n) = -4*n. What is c(d(r))?\nAnswer: -1368*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6*y**2 + 1024. Let t(a) = -651*a**2. Determine b(t(o)).\nAnswer: -2542806*o**4 + 1024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.12 - -4.12. Let d = 2.92 - -0.08. Let a = -148 + 1033\/7. Sort d, a, g in decreasing order.\nAnswer: g, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84 - 85. Let t(g) = -g**3 + g**2. Let q(m) = -29*m**3 - 4*m**2 - 29. Let u(o) = h*q(o) - 2*t(o). What is the third derivative of u(i) wrt i?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -7*l**2 + 9. Let g(h) = -20*h + 325. Let w be g(16). Let z(r) = -6*r**2 + 8. Calculate w*m(u) - 6*z(u).\nAnswer: u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-486)\/729*(8 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-19)*k*k)**(1\/41) assuming k is positive.\nAnswer: k**(-16\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i - 5*a - 578 = 0, 4 = -4*a. Let x = -55 - i. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 8:38 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -199.36 - -45.93. Let i = d + 1.43. Let h = -145.7 - i. What is h rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -a - 4*b + 6, 3*a + 16 = 2*b. Let l(m) = -15*m**3 + 2*m + 7. Let w(k) = 60*k**3 - 9*k - 28. Let n(t) = a*w(t) - 9*l(t). Differentiate n(c) wrt c.\nAnswer: 45*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -261 + 288. What is the common denominator of -2\/49 and g?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -31\/375296?\nAnswer: -31\/375296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + v - 2*v)*(3 - 2 - 3) - v - 5*v + 5*v + (2 - 2 - 2)*(4 - 5 + 3 + (-3 + 3 + 2)*(0 + 0 + 2) - 14 + 13 + 17)*(0*v - 2 + 1 + 2*v).\nAnswer: -87*v + 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 47992.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -665*a - 6661. Let x be n(-10). Let t(v) = 9*v + 16. What is t(x)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002687 to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -3 (c) -0.4 (d) 20\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 282 = -3*p + 304, -23 = -2*p + 5*b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -168, -838, -1954, -3516?\n\"Answer: -223*w**2 - w + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6444\/(-14320))\/(((-2)\/8)\/(-1)).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (-4 - -16) - ((-3 - -9) + 1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 3:34 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1434*i**3 - 1478*i**3 - 1456*i**3 + 5917*i**3 - 1468*i**3.\nAnswer: 81*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fhcqb. What is prob of sequence bhcq?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19.2, 5, -0.154, -5.\nAnswer: -5, -0.154, 5, 19.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*y**2 + 0 - 18\/7*y.\nAnswer: 2*y*(y - 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 47723\/(-26)*(-2)\/(-15). Let k = o - -243. Find the common denominator of 11\/12 and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-206)\/(-172216)*798)\/(6\/4)?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*i**5\/11 + 10*i**4\/11 - 42*i**3\/11 - 18*i**2\/11.\nAnswer: 2*i**2*(i - 1)*(5*i + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*s + 72664, s + 21391 - 75909 = -3*b. What is the thousands digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 13 (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 - 3*v + 2. Let h(u) = u**3 + 8*u**2 - 8*u - 23. Calculate the remainder when h(-8) is divided by x(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 11:32 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 2:41 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 0 (c) 0.2 (d) 2 (e) 13098\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-242)\/((-64)\/36 + 2). Let v be (-2)\/10 - w\/45. What is the greatest common divisor of 24 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11358848 to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4070514 (base 9) to base 13.\nAnswer: 5b0894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72210912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -197465 divided by -1?\nAnswer: 197465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/2 - 27\/9. Let m(s) = -2*s - 3. Calculate m(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**3 + 11*r + r**2 + 4*r + 20*r + 2*r**4 to the form m*r**4 + n + b*r**2 + j*r + g*r**3 and give j.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3619 - (-2 - -8)\/((-3)\/(-2)). Let u = -21556 + d. Is u\/11*(2\/2)\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.01594559 to two dps.\nAnswer: 2.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -36, 0, 3\/23, -1\/47?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 395*j - 390*j - 3*p, -3*j - 15 = p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q**3 - q**2 + 1. Let v = -11 + 14. Let f(m) = 4 - 2*m**2 + v*m**2 + 0 - 3. Let y(o) = f(o) + w(o). What is the derivative of y(z) wrt z?\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (0 + sqrt(35)\/sqrt(7))*-6)**2.\nAnswer: -60*sqrt(5) + 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(192)*-4 + sqrt(192) - sqrt(192)))**2 + 3.\nAnswer: 128*sqrt(3) + 3079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r + 5*r - 18 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21 + 23)\/(-8)*24\/(-2). Suppose l - 90 = -3*h, -5*l - 60 - 30 = -3*h. Solve -3*i - b*i = -h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*g - 42 = 313*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5532 is divided by 1841.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 19*n - 1\/2*n**2 + 1. Is j(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*d - 10 = -z + 28*d, 3*z = 3*d + 60 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z**3 - 2*z**2 + 42*z + 8. Let i = 173 + -162. Is a(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.014 + 0.014. Let y = 3.1 - p. Let o = y - 3.7. Which is the nearest to 2\/9? (a) 3\/5 (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6*f + 15 = 0. Suppose -2 - f = -p. Suppose 0*k - p*k + 34 = x, -2*k - 3*x = -24. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-8)\/4)\/(-2) + 30.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -213*s + 214*s + 4*r - 31, -s + 2*r + 25 = 0. Calculate the highest common factor of 117 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -364712*h**3*x**3 - 55*h**2*x**2 + 56*h**2 + h*x**2 + 33*x**3 wrt h.\nAnswer: -2188272*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68 - -42. Let w be ((-7)\/(-3) - (-2)\/(-6)) + 2. Does 8 divide (m\/w)\/(2\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 8) to base 2\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s - 515 = -5*a, -79 = 6844*s - 6847*s - 16 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1377 + -1376.7003. What is c rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (665\/20)\/((-4)\/2880*-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -403*b**3 + 14*b**2 + 7*b + 7. Let x(t) = -201*t**3 + 8*t**2 + 4*t + 4. Give -4*j(r) + 7*x(r).\nAnswer: 205*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 + 0 = -2*u. Let k = 301 + u. List the prime factors of k.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1500 and 18.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*3*sqrt(1377) - (sqrt(1377) + (sqrt(1377) - (5*(sqrt(1377) - (0 + sqrt(1377))) - sqrt(1377)) - sqrt(1377)) + sqrt(1377))) + 5 + -4)**2 + 2)*2.\nAnswer: 432*sqrt(17) + 396582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/2)\/(6\/(-90)). Let o(q) = 2*q + 36. Let x be o(h). Solve 0 = x*f - 2*f - 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 + 52. Suppose h - t*l = 10 + 6, 4*l = 3*h - 24. Suppose -4*q - 98 = -2*u, 2*u = -h*q + 133 - 3. Does 19 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2868 = 8*l - 356, 3*z - 4828 = -4*l. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o. Let v(x) = -6*x - 15. Let u(m) = 5*j(m) + v(m). Let l be u(-10). Which is the second smallest value? (a) -15 (b) -1 (c) 2 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 <= 3.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 2638124955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 4, t: 5, h: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5035*y**4 - 30*y**2 + 80800*y + 1 wrt y?\nAnswer: 60420*y**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 170261987227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 13 - 12*j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 29 = 19. Suppose 0 = -2*i + 4 - 0. Suppose i*t = -t + 6. Solve -5*f + 15 = -m + t, 3*m + 2*f = j for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**4 + 4788*m**3 - 2851216*m**2 - 17241600*m - 23040000 = 0. Calculate m.\nAnswer: -4, -2, 1200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426304 is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5267568?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 41 = k - 138, 5*t = 3*k + 109. Suppose -t - 20 = -4*a. Let n be 5\/(-1)*(-4)\/a. Solve -2*o = q + n*q - 11, -3*q - 1 = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86862.366ns to hours.\nAnswer: 0.000000024128435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chhmeecrhhrf. What is prob of sequence cm?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + 3)\/(2\/(-6)). Let d be (-1 + 2\/l)*-6. Suppose d*r = r. Solve 0*p - 3*p - 6 = r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 2. Suppose -5*s + 19 = -k*p, 0*p + 5 = s - p. Let t(f) = -6 + 1 - 3*f**s - f**3 + 7*f**2 + 6*f. What is t(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(50) + sqrt(250)\/sqrt(5)) + (sqrt(50) - -5*sqrt(50)*-2)\/sqrt(10).\nAnswer: -89*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*a**4 - 21*a - 1818 + 1818 wrt a?\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12349*k - 12342*k + s + 31, -4*s = 5*k + 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(83300\/5372)*49.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, 3, 2186, 192 in descending order.\nAnswer: 2186, 192, 6, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 9:11 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5*q, -204*q + 200*q + 42 = 3*j. Solve 4*z - 19 + q = 5*i, 5*z = 5*i + 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a - 3. Let z be m(2). Suppose -5*x - z = 5*r, 0 = x - 0*x + 5. Suppose r*l - c - 5 = 1, -2*l + 2 = -c. Solve -j = -4 + l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(5103)*1)\/sqrt(3))\/(sqrt(70)\/(sqrt(10)*1*-3)).\nAnswer: -162*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 9*l**2 - 145*l + 159. Let y be d(17). Solve 0 = 4*x - j + 17, j - 26 = 5*x - y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 911\/12 + -224\/3. Let h = -14 - -12.7. Let m = 1.3 + h. What is the second biggest value in j, m, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 - -35. Let o be (8\/16)\/(2\/6). What is the closest to 0.1 in r, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2659, 2649, 2633, 2611, 2583?\n\"Answer: -3*d**2 - d + 2663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (11 - -2) + (15 + -5 - 117)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18313 less than 0.1319775?\nAnswer: 18313.1319775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -222304011124 + -3?\nAnswer: -222304011132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 123) + (-62 - 234) + 335.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 - 2*p + 1. Let a(n) = -n**2 + 1. Let d(y) = a(y) + b(y). Let z = -296129 - -296129. Determine d(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 12819936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 4*l + 22, 3*z - 16 = -4*l - 37. Let i be (-8)\/6 + (-1 - -1). Which is the biggest value? (a) i (b) -3 (c) z (d) 0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 4:09 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187622, 187614, 187610, 187616, 187638?\nAnswer: 187682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 - -48. Solve 0*z = z - k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -313 + 311. Sort -4, w, -5, 2.\nAnswer: -5, -4, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/4 - 387*x\/2 + 16272.\nAnswer: (x - 678)*(x - 96)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 8233901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2 = 22. Suppose -5*v + 3*m + 21428 = 0, v - 4*m + 12851 = q*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -754*m**3 + 50*m**2 - 2*m.\nAnswer: -4524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 11*k**2 - 63*k. What is l(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -9*y + 12. Let f(k) = -5*k + 6. Suppose -8 = 6*m - 26. What is m*a(l) - 5*f(l)?\nAnswer: -2*l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-77)\/7 + (1 - -7). Suppose 5*z - 8*r - 90 = -3*r, -2*r = -4*z + 64. What is the nearest to 0.1 in 5, i, 4, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 34 = 49*j - 44*j, -3*a - 3*j = -24. Sort a, -19, -3, -5, 5 in increasing order.\nAnswer: -19, -5, -3, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 576 is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378 = 4*k + 402 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145511 is divided by 29095?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 122823577 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s**3 - 3*s**2 - 2*s - 4. Let u(a) = 4*a**3 + 2*a**2 + 3*a + 3. What is 2*m(v) + 3*u(v)?\nAnswer: 2*v**3 + 5*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0.3. Let o = 9.8 - 11. Let w = 0.7 + o. Which is the third smallest value? (a) w (b) h (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*j - 5*f = -410, 3*j = -3*f - 1176. Let s = -333 - j. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/5 + 6876*c\/5 + 1334076\/5.\nAnswer: 3*(c + 214)*(c + 2078)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrwrrmwmwwm. What is prob of sequence wrww?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/32*(-3 + 282\/90)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 10 + 10)*(30*h**3 - 4*h**4 - 30*h**3) + (-2*h**3 + 4*h**3 + 0*h**3)*(-5*h**2 + 3*h**2 + 0*h**2) + 6*h**5 + 5*h**5 - 4*h**5.\nAnswer: 11*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 157627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j = -j - 4*x + 24, -3*x + 3 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-84))\/(12\/(-14))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -262, -637, -1158?\nAnswer: -1825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94702*g**3 + 23*g - 23*g.\nAnswer: -94702*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 - -586. Let j = 628 - h. Let f = 2.4 + 0.6. Are f and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -64. Let d be (-1 - -1) + s\/4. Let l be (-3 - -4) + (d - 2). Does l = -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 7*j**2 + 2*j + 1. Let q be v(-1). Suppose q*p = p - 25. Let c(m) = -2*m**2 - 9*m + 2. Let k be c(p). Put -1, k, 0.6 in decreasing order.\nAnswer: 0.6, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*x - 21679 + 22840 = 0 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 339 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8) + 2 + (-294)\/(-8). Let q = u + -25. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2145 divide 2749666920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 k when two letters picked without replacement from {k: 14, n: 4}?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*8\/20*(-15)\/(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/24)\/((2\/(-32))\/(-1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33\/2 + 16. Is c at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*u + 20 = 0, 0 = 2*s - 3*u - 1 + 5. Factor -7*m**2 - 5*m**2 - s*m + 14*m**2 + 2.\nAnswer: 2*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33506616*l*n - 10232023*n wrt l?\nAnswer: -33506616*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/3 - 29\/((-580)\/260)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 971*b**5 + 810*b**2 wrt b.\nAnswer: 58260*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4412 - -39659\/9. Let y = -15\/146 + -3663\/584. Find the common denominator of q and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 609\/5 in -1\/4, 0, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 277 - -802. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i = -87 - 17 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 6*g**4\/11 + 12*g**3\/11 - 42*g**2\/11 - 48*g\/11 + 72\/11 = 0?\nAnswer: -3, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/47970*(1 - -15013). Let l = r - 4\/533. Let b = -4\/45 - l. What is the third biggest value in b, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12829 and -5.\nAnswer: 64145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4 + 136*s**3 + 384*s**2 - 15624*s - 15876.\nAnswer: 4*(s - 9)*(s + 1)*(s + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t**3 + t**2 - 3. Let a(f) = -4*f**3 - f**2 + 2. Let n(m) = -4*a(m) - 3*b(m). Let w(p) = 2*p**3 + p**2 + p - 1. Give -n(d) + w(d).\nAnswer: d**3 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2142*v**2 - 8*v - 135. Let d(j) = 1071*j**2 - 3*j - 77. Let g(c) = 9*d(c) - 5*s(c). What is the second derivative of g(p) wrt p?\nAnswer: -2142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 8*m + 98. Sort m, 0, 5, 6 in descending order.\nAnswer: 6, 5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -8. Suppose -b = s - 22. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -30?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**5\/60 + 3*a**4\/8 + 5*a**3\/3 - 44*a**2 + 2*a. Calculate u(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12442333?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 - 1984 + 1007 + 979 + 4*n**2.\nAnswer: n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00035789 rounded to 5 decimal places?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00807 to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 - 6*s**3 + 12*s**3)*((0 + 0 + 2)*(0*s + 0*s - s) + s - 4*s + 2*s + 3 + s - 1 - 1) + 4*s**4 + 5*s**4 - 4*s**4.\nAnswer: -3*s**4 + 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 9*p + 50 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebjjo. Give prob of picking 2 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182 = 2*k - 158. Let u = -3 + 2. Which is the third biggest value? (a) -1\/5 (b) u (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2. Suppose -3*o = -7*o + 8. Let k(d) = -3*d**o + 7*d - 7*d. Determine k(w(m)).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 5) in base 15?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 397822 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2575787866 to the power of 1\/5, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 20 = -4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 12:19 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 0, 0.29, 5?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 0*g + 52*g + (1 - 4 + 1)*(0 - 2*g + 0) - 4*g + 6*g + 0*g)*(-4 + 4 - g**2).\nAnswer: -61*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, j: 2, f: 2, y: 1, l: 1, e: 1}. What is prob of picking 1 v, 1 y, and 1 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7008130777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33012 = 1116*i - 3867*i for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**8\/420 + t**6\/180 - 2*t**3\/3 + t**2. Let v(x) be the first derivative of b(x). Find the third derivative of v(k) wrt k.\nAnswer: 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -7*b + 14. Let p be x(-14). Suppose 244 + p = 4*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**3\/3 - 154862*n**2\/3 + 309733*n - 464604 = 0.\nAnswer: -154868, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -144064256 + 590*c**2 + 144064256 - 24*c**3 as f*c + s*c**3 + l*c**2 + d and give l.\nAnswer: 590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288634 a multiple of 302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 259 + -255. Suppose u - 3*c = -2*u - 15, x*u + 20 = -c. Sort 6, u, 2, -4 in ascending order.\nAnswer: u, -4, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -17*s + 93*s - 13*s - 37*s - 23. Calculate the remainder when 54 is divided by x(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1294596 to the nearest ten thousand.\nAnswer: 1290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 220*c**3 - 10*c**2 - 4*c - 25. Let z(m) = -110*m**3 + 6*m**2 + 2*m + 12. Let b(a) = 3*v(a) + 5*z(a). Find the second derivative of b(t) wrt t.\nAnswer: 660*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 - 52. Let v(x) = x**3 - 4*x**2 + 20. What is the units digit of v(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32223.31l in millilitres?\nAnswer: 32223310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -129 + 448. Does 29 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 20 - 97)*(v + 8 - 8 + 2*v + v + 0*v + (-1 + 4 - 4)*(2*v + 0*v - 3*v)).\nAnswer: -375*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - z**2 - 8*z + 217. Let x(q) = q**2 + 5*q - 2. What is s(c) + x(c)?\nAnswer: -c**3 - 3*c + 215","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*h + 12*h + 13*h to the form r + w*h and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -32*o + 1. Suppose 10 - 2 = -4*n. What are the prime factors of d(n)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30426236 divided by 9.\nAnswer: -30426236\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1053.78 + -1718663732.\nAnswer: -1718664785.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllllffl. What is prob of sequence ll?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 10 = 2*t. Suppose -2*s + 6*x - t*x = -199, -3*x + 470 = 5*s. Let k = s + -65. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15105 is divided by 1258?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)\/(t**(2\/9)\/t))\/(t*(t*t**9\/t*t*t)\/t*t\/(t*t**(1\/12))*t) assuming t is positive.\nAnswer: t**(-437\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 + -2767?\nAnswer: -2766.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*-29)\/((-45)\/(-1035)). What is the common denominator of 4 + m\/252 + (-16)\/(-56) and 5\/6?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9937561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x - 26. Let q be g(14). Let a(w) = q*w - 14*w + 0*w. Let n(p) = 16*p. Determine n(a(j)).\nAnswer: 32*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 8. What is the third smallest value in 3, p, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107630, -107627, -107624, -107621, -107618?\nAnswer: -107615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -5657, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1152 - -1152. Suppose 3*i - 5*c = 2, -2*i - c - 10 = -5*i. Let o be 3*1 - (-2 + i). Is k smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1958231 years to decades.\nAnswer: 0.01958231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2386569?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 9:39 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 37*r**3 - 2*r**4 + 13 - 33*r**4 - 38*r**3 to h + t*r**2 + n*r + a*r**3 + i*r**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1230*s - 36207 = 17*s + 94*s for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llvlvvlllvlvl. Give prob of picking 3 l.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + 7\/(28\/(-12)). Is a at least as big as 1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h, 3*s + h - 25 = -19. Solve -s*m + 20 = 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -12*l**2 - 10*l + 10. Let q(x) = -2*x**2 - 2*x + 2. Let y(n) = -5*q(n) + u(n). Let s(f) = -f**2 + 1. What is y(s(m))?\nAnswer: -2*m**4 + 4*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 5:10 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 225 and 29585.\nAnswer: 1331325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/(-75 - -72)*1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - 2)\/(4\/(-6)). Let y(s) = s**2 + 3 + 5*s**2 - 3 - s**3 + 1 - 6*s. Let l be y(5). Which is bigger: l or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27087741 divided by -3?\nAnswer: 9029247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) + (sqrt(304)*1 + sqrt(304))**2 + 3 + sqrt(304) + 0 + 2.\nAnswer: 8*sqrt(19) + 1221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 21*v + 92. Let q be h(-5). Suppose 0 = -7*g - q*g + 5776. Is g a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 20. Let d be g(16). Put d, -417, -4 in decreasing order.\nAnswer: d, -4, -417","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 851 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 10 (b) 40 (c) -2.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -5*r**3 + 3*r**2 - 8*r + 4. Let k(c) = -9*c**3 + 5*c**2 - 18*c + 7. Calculate 5*f(x) - 3*k(x).\nAnswer: 2*x**3 + 14*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -117*o**5 - 2*o**4 + 8*o**3 - o + 562.\nAnswer: -2340*o**3 - 24*o**2 + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/6 - (-14)\/4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104130 to the power of 1\/2, to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + sqrt(243) + 2.\nAnswer: 1 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.7 + 11. Let p = 0.1 + -1.1. What is the closest to -0.1 in -0.4, p, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/40 + 161\/(-70)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*1 + 1 + 0. Suppose 5*c - w + 11 = 0, -4*c = 4*w - 3*w + 7. Put 5, c, b in descending order.\nAnswer: 5, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 573 or 584?\nAnswer: 573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*-1*sqrt(153))\/(((sqrt(324) - -3*sqrt(324) - sqrt(324)) + sqrt(324))*-2).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 345413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/1 + (-1 - 2). What is the common denominator of 56\/9 and (3 + 90\/d)\/2?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 347657908?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 296361.2800065 - 296361. Let q = r + -0.28. Round q to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 1:12 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 234.4 - 347.19. Let v = -112 - f. Round v to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-108)*6\/4\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -2*u**5\/15 - 2*u**4 - 98*u**3\/9 - 26*u**2 - 80*u\/3 - 964. Determine b, given that a(b) = 0.\nAnswer: -5, -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 118 + -117. What is the third biggest value in s, -8, 4\/9?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-86)\/18 + (-18)\/81. Let r = -4 - f. Which is greater: r or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 10. Let t be c(5). Suppose 4*p + o - 139 = 0, -2*p = -4*p + t*o + 53. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*y + 56. Which is smaller: y or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**2 - 658*a + 28. Let p(t) = 7*t**2 + 1322*t - 63. Calculate 9*f(y) + 4*p(y).\nAnswer: y**2 - 634*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*p - 34, 5*s = 7*p - 5*p + 60. Solve -16*v + 6 = -s*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 308 and 264?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(78) - -3*sqrt(78)*-2 - 1*-2*sqrt(78)))\/(sqrt(24)*-2 - sqrt(12)\/(sqrt(12)\/sqrt(6))) + 5.\nAnswer: 5 + 9*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135585 is divided by 91?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008662 to 5 decimal places.\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and 0.025566?\nAnswer: 0.0153396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*(4\/5)\/(-2). Suppose -2*p = -2, 0 = 2*w - c*p - 0 + 2. Which is greater: -10 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 - 11. Suppose -2*l + 6*l - 8 = 0. Let w(z) = 2*z**2 - 10. Let c(m) = l*w(m) - 3*i(m). Differentiate c(r) with respect to r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**4\/28 + 1349*r**3\/14 - 2025*r**2\/7 + 6141*r. Factor k(y).\nAnswer: 3*(y - 1)*(y + 1350)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(98)\/sqrt(2) - sqrt(49)))\/(sqrt(7) + sqrt(14)\/(sqrt(2)*-2)) - ((sqrt(1008) + 0 + sqrt(1008))*-1 + 5 + 5))**2.\nAnswer: -480*sqrt(7) + 4132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-4))\/(248\/(-3968)).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 17 = 2*w, -417*w + 418*w - r = 7 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 437*x**2 + 133*x. Let h(a) = 2*a**2 + a. Give -665*h(l) + 5*z(l).\nAnswer: 855*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 81181.28kg in nanograms?\nAnswer: 81181280000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 473661110 and 656.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/5)*q)\/q**(-1)*(q**(2\/5))**(-6\/25) assuming q is positive.\nAnswer: q**(313\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -727*f = -745*f - 216 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 9:44 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 22*s - 23*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**5 - 6*a**4 + 4*a**3.\nAnswer: 2*a**3*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**3 + 3 - 3 + (-12 + 7 - 5)*(-6 + 19 + 0)*(-10*f**2 + 8*f**3 + 10*f**2) to the form v*f + t + l*f**3 + p*f**2 and give l.\nAnswer: -1042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 1. Let d be r(-2). Let q = 4 + d. Suppose q*h = -2*v, -2*v - 2*h + 4*h + 28 = 0. Solve 3*u + v = -i, -3*i - 15 = 3*u + 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 1\/90*r**6 + 0*r - 3*r**2 - 1\/504*r**8 - 1\/45*r**5 + 1\/9*r**3 - 1\/36*r**4 + 1\/315*r**7 + 0. Find o, given that j(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {r: 2, p: 2, j: 4, t: 1, b: 1, d: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 90589 = -2*o, m - 8588 = -5*o + 9519. What is the ten thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -991 * -12.\nAnswer: 11892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 2)*(4 - -1). Suppose 4*o - 5 = z*c, -2*o + 25 = 3*o. Solve -c*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -236 or -295?\nAnswer: -295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3138)\/(0 - -6 - (1092\/8)\/21). Calculate the highest common factor of j and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12146*s**2 - 12319*s**2 + 24639*s**2.\nAnswer: 174*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.23 (b) -7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 12:51 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 48 (b) -1 (c) 4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2. Suppose 14 = -5*m - 111. Let l(z) = 5*z**2. Calculate m*r(v) + 6*l(v).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjj when three letters picked without replacement from yyyyjyjyjyy.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 10 + 34 = 0. Suppose -2*j - 2*d - 10 = 0, -j + 8*d - 35 = 3*d. What is the remainder when (-24)\/(-40) + (-634)\/j is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3158319?\nAnswer: 3, 107, 9839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*j - 3 + 4)*(-j + 21 - 5*j**2 - 21).\nAnswer: 15*j**3 - 2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 4*a**2 - 3*a - 3. Suppose 0*g + 6 = -3*g, 0 = -2*q - g + 4. Let x be c(q). Put -1, 0, x in decreasing order.\nAnswer: 0, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 3*o + 4. Let h be y(-3). What is the second derivative of -2*k + 4*k + 0*k**h + 3*k + 3*k**4 wrt k?\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 111 - 329 + 109 + 3*v + 109. Suppose 5*q - 7 = 3. Let p(j) = -j**3 + 6*j. Let m(x) = q*p(x) - 5*n(x). Find the second derivative of m(i) wrt i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 2.533247s?\nAnswer: 2533247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 - -35. Let q be 0 + 1 - (-2)\/(-2). Suppose y - 11 = -0*l + l, -y + 3*l + u = q. Calculate the greatest common divisor of y and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2292626, 4585279, 6877946, 9170627, 11463322, 13756031, 16048754?\n\"Answer: 7*x**2 + 2292632*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 347 - 346. What is the smallest common multiple of (1\/(-2))\/(3\/(-102)) and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/4)\/g**15)**(26\/9) assuming g is positive.\nAnswer: g**(-247\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 1)*(-1 + 2*l + 1) + 2*l - 3*l + 3*l + 2*l - 4*l + 0*l + 0*l + 0*l - l)*(l - 3*l + 4*l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*u**2 - 79*u**2 + 23*u**2 - 632 - 396 + u**3 - 2*u + 30*u**2 to d*u + r*u**2 + k + i*u**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8685 + 1448. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -149 - -182. What is the first derivative of -2*x**3 - h - 58 + 106*x**2 - 67 + 212 wrt x?\nAnswer: -6*x**2 + 212*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.430628 hours to days.\nAnswer: 0.6846095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 270665 - 1?\nAnswer: 270664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/406 and 125\/522.\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 18*-63765.9\nAnswer: -1147786.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-19)\/j))\/(j**(-9)*j) assuming j is positive.\nAnswer: j**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -583 - -591. What is the closest to c in 0.5, 0.4, 0.2, 0.02?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5355760 (base 8) to base 5\nAnswer: -331320220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*o - 2677 = -3677*o + 208138 for o.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318337 is divided by 56?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 134 = 31*v, 5*v + 20 = 3*c + 60 - 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 122129 less than -931209?\nAnswer: -1053338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80 - 77. Suppose 17*j - 8915 = 16*j - 2*a, -s*a = -j + 8935. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 r, and 1 a when three letters picked without replacement from irajrjrahjrahirarr?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*b - 54 = -137*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 7923 = -5803 - 13308. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 141708*k + 143073?\nAnswer: 141708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 7*y**2 - 7*y + 5. Let z(x) = 6 + 2122*x**2 - x**3 - 2*x - x - 2112*x**2 - 6*x. Let h be z(9). Determine g(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -2) + (0 - -4) + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d**2 + 0*d**2 + 7*d**2 + ((-4*d + 2*d + d)*(2 - 3 - 1) + d + d + 0*d)*(0 + 3 + 3)*(d - 12*d - 9*d)*(1 + 2 - 2).\nAnswer: -468*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -3*a - 24, 3*m + 1 = -10*a + 8*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 217104 and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7}. Give prob of sequence cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 29594, 34832, 40070, 45308, 50546?\n\"Answer: 5238*l + 24356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 300117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/6 + 157*q**2\/2 - 2640*q + 64384\/3.\nAnswer: (q - 16)**2*(q + 503)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-8)\/(-5) + 18 + -17\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 l, 1 u, and 1 c when four letters picked without replacement from cpujcclcclqqj?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-54)\/30)\/(7\/(-29967)*(-15)\/(-25)).\nAnswer: 3, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23356 + -23355.400002. Let k = g - 0.6. Round k to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -1\/3*f**3 + 13\/2*f**2 + 4*f + 4. Calculate the remainder when 30 is divided by t(12).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 1 - 7)*(9 + -2) + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**4 - 1255*g**2 - 13*g - 16*g**3 - 6*g - 13*g - 588*g**2 + 31*g wrt g?\nAnswer: -24*g - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20620.53mm to meters.\nAnswer: 20.62053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 35614+-29529851\nAnswer: -29494237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 1, 6139.\nAnswer: -5, -2, 1, 6139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-35) + (-3)\/21. Which is the second biggest value? (a) 5 (b) z (c) -1\/2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -810055, -1620110, -2430165?\nAnswer: -3240220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 8:51 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*v + 7. What is the remainder when 22 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 6172698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10913588 to the nearest integer?\nAnswer: 3304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.1 - -14. Let n = 23 + -40. Let r = 12 + n. Which is the third smallest value? (a) 1 (b) r (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3c + 7?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -211.8 - -216.8. Put p, -5, -8.2 in decreasing order.\nAnswer: p, -5, -8.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z + 2*z - 3*z**2 + (-2 + 2 + z)*(-3*z - 3*z + 7*z) + (-7*z - 3*z - 6*z)*(-z - z + z).\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -85669 (b) 5 (c) 3.567\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 25 (c) 0.4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-18))\/(2\/(-42)). Suppose y*w - 750 = -64. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 9*t**3 - 233*t**2 - 26*t - 89. Calculate v(26).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 2*d + 15 + 0 - 9 + 16 as h + o*d and give h.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1488 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 t, 1 g, and 1 r when four letters picked without replacement from {r: 12, g: 3, x: 1, t: 2, v: 1}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/5 - 28*m\/5 + 2214\/5.\nAnswer: -2*(m - 27)*(m + 41)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 2674.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001582063633 rounded to 7 decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 8:40 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*o - 273 + 1153 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(75\/(-14)) + -4 + (-220)\/(-66)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17288239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2877)\/(-411)*8*4\/36)\/((-20)\/(-18))?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4358974 to the nearest integer?\nAnswer: 2088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) 2\/5 (c) -1521\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 8*r - 30 = -3*d, -4*d + 88 = -4*r. Let i(a) be the first derivative of 0*a**3 + 8\/45*a**5 - 2\/9*a**4 + 0*a**2 + 0*a - 1\/27*a**6 - d. Factor i(t).\nAnswer: -2*t**3*(t - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 2*i. Suppose i = -d - 0*d + 59. What are the prime factors of d?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by -18\nAnswer: -17\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 61 and 63013?\nAnswer: 63013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g - 5*g + 32 + 12*g - 11*g + 4*g**2 in the form o*g**2 + f + d*g and give f.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/1146, -2\/13, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43.67247 - 0.587.\nAnswer: 43.08547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 0.05 (c) 1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -14352 at most as big as -14353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -133 in 64, -37, 1\/4, 0.5, 1?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 2*d**2 + 49 + 2*d**2 + d**2 - 17 - 27*d.\nAnswer: d**2 - 27*d + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5457333 - 5*y**2 - 5457333.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*c - 85 = 57*c. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.32 + -0.02. Let v = j - 1.3. Let d = v + 1.3. Which is the third biggest value? (a) d (b) 2\/5 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 25*w**3 + 2*w**2 + 2*w. Calculate u(-2).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4800.19854371 - 4800.2. Round k to four decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 133344 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 478.387 - 0.387. Let w = 478.1 - t. Let j = 239\/8 - 30. Put j, w, 0.4 in descending order.\nAnswer: 0.4, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -195, -415, -647, -897, -1171?\n\"Answer: -w**3 - 213*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 982300 by -17860.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 279138707 + 15.13393\nAnswer: 279138722.13393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-72)\/189*14)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4120?\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*((b\/(b\/(b*b**29\/b)))\/b*b)\/b*b\/(b\/b**11)*((b*b*b*b**(-9)*b)\/b)\/(b*b**(-27)) assuming b is positive.\nAnswer: b**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*b - b - 2*b)*(6 - 1 + 1) + 3 - 7 - 6 + 2*b - 10 in the form g*b + t and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6420?\nAnswer: 2, 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.070073 and -581180.\nAnswer: -581180.070073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 2.14. Let m = u - 0.54. Let j = -173\/7 - -25. Which is greater: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 h when three letters picked without replacement from {k: 2, b: 6, q: 3, l: 2, h: 4}.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 545031 * -53\nAnswer: -28886643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 372240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 231883999 to the nearest integer?\nAnswer: 15228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a = a - 45 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((84\/(-49))\/(-12))\/((-6)\/24).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 161163 (base 8) to base 11\nAnswer: 3a611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 9*c - 21. Let o be k(5). Let r(d) = 5*d**2 - 1. Let w be r(o). Suppose y - 2*p = 27, 2*y - w*p - p = 51. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 537*c = 2*o + 539*c - 20132, 5*c = -2*o + 20141. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -223*i + 2105. Let j be g(9). Solve 46 = -36*n - j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*y + 24 = 0, -2*o + 3*y = -3*o - 8. Suppose -2*i - o = -48. What is the remainder when i is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 350 divide 212483\/3 - (-27)\/((-1863)\/(-230))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11900 rounded to the nearest one hundred?\nAnswer: 11900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, c: 2, b: 2, z: 2, t: 1}. Give prob of picking 2 c and 1 z.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-3 + (-3 - -3))*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 2*p**2 + 2*p - 2. Let l be j(2). Suppose 2*v - 26 = -6. Let q = v + l. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c + f - 22 = 10*c, 2*f = 5*c - 21. Suppose -4*t + 178400025 = -c*n, 0 = -2*t + 10*n - 7*n + 89200015. Round t to the nearest 1000000.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 4*t**2 + 5*t + 4. Let m be (-6)\/8 + (-125)\/100. Let d be u(m). Suppose d*v = 417 + 499. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 885053022 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from giififgfuhhi. What is prob of picking 2 i, 1 f, and 1 h?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 10*k**3 + k**2 - 2*k. Determine r(-2).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*x + y, 0 = -y - 0 + 1. Let o be (x + (-86)\/14)\/(4\/(-14)). Let i(p) = -p**2 + 5*p + 3. Let v be i(5). Solve -3*s + v = o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*y - 12 = 0. Suppose -3*l = -4*l - 4*o + 66, l - 62 = -3*o. Suppose 4*j - l = -j. Calculate the remainder when j is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1884\/7 in -11, 5, -1\/5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 42\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1 - -1.2. Let v = 157.1 - 10.1. Let c = v + -168. Is c > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a kilogram in grams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(-2\/3)*l*l)**(-15))**38\/((l**(1\/5)\/l**0)\/(((l**(-2\/3)\/l)\/l)\/l**(-1\/4))) assuming l is positive.\nAnswer: l**(-159757\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1594726 + 2444726. Round g to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 131 in -6\/13, -0.1, -1\/5, 0.37?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 4 + 11 - -2. Suppose d = -y + 15. Sort 3, -7, y.\nAnswer: -7, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6324983\/150 - -42166. Let q be 6\/15 - (-6)\/10 - 5. What is the common denominator of o and -1*((-870)\/(-105))\/(q\/(-7))?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -482, 0, -45 in ascending order.\nAnswer: -482, -45, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1297\/821 or -3?\nAnswer: -1297\/821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*i**2 - 48*i**2 + 3*i - 3*i.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5453 + -5453 + 0 + -8 + 1 + 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 363 + -18149\/50. Let z(v) be the third derivative of 0*v + r*v**5 + 0*v**3 + 0 + 1\/100*v**6 - 7*v**2 + 1\/525*v**7 + 1\/60*v**4. Let z(m) = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -g**5\/60 - 5*g**4\/6 - 5*g**3\/3 + 13*g**2\/2 + 6. Let n(t) be the second derivative of b(t). List the prime factors of n(-12).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**5*z**2 - 37003*l**3*z**3 + 220*l**2*z**3 + 29*l**2*z - 5*l**2 wrt l?\nAnswer: 60*l**2*z**2 - 222018*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**4 + 2*c**4 - 5*c**4 + (6 - 3 + 0)*(4*c**3 - 2*c**4 - 4*c**3) + (-4*c**2 - 3*c**2 + 5*c**2)*(25*c**2 + 21*c**2 + 25*c**2).\nAnswer: -150*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 966.31972 to the nearest ten.\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12013479?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2216 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-18 - ((11 - (13 + -4 - 9)) + -20)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*p + 34*p - 5497. Let a be (3\/3)\/(1\/408). Let c = a + p. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/11, -470, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-5\/2)\/n)\/(n*n**(-2\/25)))**45\/((n**(-2\/7)\/n)**(9\/4)*n\/n**(-5\/4)*n**(-8)) assuming n is positive.\nAnswer: n**(-6659\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2772 and 352.\nAnswer: 22176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -27*h - 2. Let s(o) be the first derivative of 53*o**2\/2 + 5*o - 782. Calculate 2*s(k) + 5*t(k).\nAnswer: -29*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, i: 4}. Give prob of picking 1 i and 1 q.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 698899 (base 10) to base 16\nAnswer: aaa13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533756847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1959*h**2 - 754*h**2 - 3233*h**2.\nAnswer: -5946*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(15\/3)*12*108\/144?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2 - 1810*n + 819025 = 0. Calculate n.\nAnswer: 905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ecccecccccc. What is prob of sequence ecc?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1821, 3571, 5321, 7071, 8821, 10571?\nAnswer: 12321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -567, -555, -543, -531, -519, -507?\nAnswer: -495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5916 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 1\/6 (c) 68 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.100031831 to 5 decimal places.\nAnswer: 0.10003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 2\/3, 44, -2\/19, -9.\nAnswer: -9, -2\/19, 1\/9, 2\/3, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3 - 5*i + 7*i + 12*i - 14. Is r(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 180 - 1?\nAnswer: 17b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108 - 107. Does 11 divide (-170)\/(f\/2 + (-12)\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -2\/3, -1347, -1.2, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 11*f**2 + 2*f - 1. Let y(m) = m**2 + m + 1. Let t(z) = q(z) + 6*y(z). Determine t(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-7\/5)*p)*p)\/(p**(-3\/2)\/p*p*p*p)*(p**(-1\/3)*p)**(1\/4) assuming p is positive.\nAnswer: p**(31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12411802?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 566*b + 2265. Give c(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2351\/7 - 336. Let q = 19.2 + -19. Let x = -6 + 2. What is the nearest to q in x, 0.02, v?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2)*(32\/24)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rngggnzzgzggggrzz. What is prob of sequence nz?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110100 - 110011111?\nAnswer: -10000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/5)*c)\/c**(-2\/25))**3 assuming c is positive.\nAnswer: c**(51\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/60)\/(408\/80). Let c(w) = -4*w - w**3 + 6*w - 3*w - 15*w**2 - 14. Let b be c(-15). Which is smaller: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a meter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**17\/((p\/p**3*p*p*p)\/p))\/(p**(5\/4))**1)**(-1\/29) assuming p is positive.\nAnswer: p**(-63\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and -2.17.\nAnswer: -17.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, -5, -1, -42?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - n - 1558, 2*m + 258 = 5*n + 1028. Let b = 678 - m. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -91bb7 (base 16) to base 15.\nAnswer: -bbce9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*3\/(-14) + 1. Let q = 160 + -4481\/28. Let v = q - o. Which is the biggest value? (a) v (b) -1 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g**5 - 4850*g**4 + 19828*g**3 + 95958*g**2 + 77072*g + 5768 = 0.\nAnswer: -206, -2, -1, -1\/12, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1974*m**4 + 3852*m**4 - 1622*m**4)*((1 + 1 - 4)*(2*m - m + m) - 4 + 4 - m - 2*m + m + 0*m).\nAnswer: -1536*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 8 = -5*a + 10*a, 0 = -5*a + 2*q + 14. Let d = 2 + 0. Suppose 20 = d*w - 10. Calculate the remainder when w is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -269780 + -2?\nAnswer: -269782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -838.1068 and -4.\nAnswer: 3352.4272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/2 - 105*k - 11025\/2.\nAnswer: -(k + 105)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-63))\/((-80)\/(-3240))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 3, 16.9, 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*w - 199 - 206 = 0 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*((-1 + sqrt(243) - sqrt(243)) + sqrt(243)) - -1*(sqrt(243) + -1))**2 - ((4*sqrt(60)\/sqrt(2))\/((sqrt(200)\/sqrt(5))\/sqrt(4)))**2.\nAnswer: -3240*sqrt(3) + 43872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + sqrt(1700)*4)*-2 + 1 + (sqrt(1700) - (sqrt(1700) - (sqrt(1700) + -2*sqrt(1700) - sqrt(1700))))*6 + sqrt(1700))*-1)**2.\nAnswer: 1900*sqrt(17) + 613725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 4*o + 8, 0 = -2*o + o - 3. Calculate the lowest common multiple of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37030, -74256, -111682, -149308?\nAnswer: -187134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*v + 183*v = 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*s - 32, -5*s + 2*i + 8 = -19. Suppose -s*v = -9*v + 410. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 3. Suppose -h*q + w + 22 = -4*w, -3*q + 16 = -2*w. Solve 4 = r, 0 = q*m - 2*r + 6 + 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24236 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 1. Let z be l(3). Let x be z\/4 + (-6)\/(-4). What is the second derivative of -3*a + a**3 + x*a + 0*a**3 wrt a?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*i + 6 + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**3. Let h(s) = -11*s**3 - 5*s**2 - 10*s. Let v(r) = 36*r**3 + 16*r**2 + 32*r. Let b(x) = 16*h(x) + 5*v(x). Determine 4*b(j) - 5*z(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*d + 19 + 21 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1102.\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 6. Let f be l + 1 + -3 - 3. What is the second smallest value in 0.05, 3\/7, f?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 278 and 693326.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20888.13 - 20990. Let k = 1.87 + p. Let f = -97 - k. What is the third biggest value in 12, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100002101 (base 3) to base 5\nAnswer: -203000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*2)\/(1080\/((-1584)\/(-44))).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 + 183. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**5 - q**4\/24 - q**3\/6 + 64*q**2. Suppose 2*j - 5*m + 0*m + 8 = 0, 5*j - 5*m + 5 = 0. Is g(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 8, q: 1, k: 2, h: 1, z: 3, a: 1}. What is prob of picking 1 z, 1 k, 1 a, and 1 h?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3634306 and 14690.\nAnswer: 2938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 275065787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f. Let j be (-3)\/10 + 780\/600. Suppose 3*i + i = 4. Let k(c) = 6*c. Let y(g) = i*k(g) + j*a(g). Let z(t) = 2*t**2. What is y(z(x))?\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**5 + 71*c**4 - 119*c**3 - 467*c**2 + 212*c + 300 = 0.\nAnswer: -25, -2, -2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 12. Suppose 4*w = -3*y - 43, -4*y + 2*w = 5*w + 48. Let t = n - y. Solve 2*i + 1 = t*u - 2*i, -7 = -2*u - 5*i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -1640*i + 21327. Calculate t(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (118\/295)\/(2\/(20*1))*-2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 197\/6, 1\/4, -3\/148, -2\/41, 1\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 10*h**2 - 14*h + 117. Let l be a(6). Sort -3, 0, 2, l in descending order.\nAnswer: 2, 0, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1057 + 1167. What is the greatest common factor of i and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 736 and 9840?\nAnswer: 452640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 436, 5 in decreasing order.\nAnswer: 436, 5, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.4301 - 230.9299. What is g rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + -2004?\nAnswer: -1442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 = -5*d + 16. Let a = d - -64. Suppose -5*k - 5*j + a = -4*k, -5*j = 5*k - 155. Is 30 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43747172?\nAnswer: 2, 7, 37, 42227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1590 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 9:11 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 4\/373?\nAnswer: 4\/373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**2*v*x - 2*l**2*x - 53599*l**2 - 11*l*v*x - 57671*v*x wrt l.\nAnswer: -4*v*x - 4*x - 107198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50978420?\nAnswer: 2, 5, 167, 15263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 21. Suppose -44 = -3*n + n + 3*r, 2*n + 2*r - 54 = s. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181*-2377.\nAnswer: 430237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppx when three letters picked without replacement from pxxxpxxxxpxxxpxxxpx?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**3 - 2*a**2 - 3*a - 3. Let s be h(4). What is the highest common factor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**5 + 3 + 3 - 2 + 2*o**5 - 2 + 2 + 3*o**2 + 2*o**5 - 3*o**2 + (o**3 - o**4 - o**3)*(-3 + 3 - 2*o).\nAnswer: 5*o**5 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.4 - 1.4. Let w = v + -15. Let j = 18 - 17. Which is the third smallest value? (a) -0.1 (b) w (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/8, 4\/9, -4\/15 in increasing order.\nAnswer: -2, -4\/15, 1\/8, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/48 and ((-36)\/(-40))\/(3300\/(-5750))?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 7. Let u = -12 - -9. Let m be 0\/(6\/(u - 0)). Solve c = -q - 2, m = -4*c + q + 7 - d for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4924, -0.5, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 45*u**2 - 4*u - 14. Let i be v(-2). Suppose i*y = 177*y + 840000. What is y rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 118, -1, 3 in ascending order.\nAnswer: -1, 3, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z + 3*z**2 - 20 + 3*z + 17 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v + 119 + 2*v - 6*v.\nAnswer: -v + 119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 11.3 (b) -3\/2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -504, -501, -496, -489?\nAnswer: -480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - 9\/6*2. Let o(j) = -j**3 + j**2 + 4*j - 2. Let c be o(3). Let k be c\/20 + (-5)\/50. What is the nearest to k in 0.01, q, -3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -19*w - 37\/12*w**4 + 0*w**3 + 0*w**2 + 0. Let v(n) = 0*n**2 + 4*n**2 - 4*n**2 - n**2. Give v(y(t)).\nAnswer: -1369*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21520913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1794615, 1794621, 1794627, 1794633?\n\"Answer: 6*b + 1794609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 2*g**2 + 87. Let i be y(0). Which is greater: 83 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 15 = 0, 0*u - u + 13 = 4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 4 - 1\/3*s**3 + 0*s**2 + 0*s. Let m(d) = -d + 3*d - 3*d. Calculate m(v(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -334589, -334590, -334591, -334592, -334593?\nAnswer: -334594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -2\/9, 1482\/305, 5, -17.\nAnswer: -17, -2\/5, -2\/9, 1482\/305, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = l + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z - 11 + 41 = 0. Solve -z*c = 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 5*m - 138. Suppose -m*k + 14*k = -32. What is the remainder when 22 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + 1)\/1 - 0. Suppose 5*p + 2*b + 17 = -3, h*b = p - 13. Is ((-362)\/2)\/(p\/2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/48 - 1\/(-18). Factor 0 + o*b**2 + 4\/9*b.\nAnswer: 2*b*(b + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12, 17, 8, -21, -76?\n\"Answer: -i**3 - i**2 + 15*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 0)\/((-2)\/16). Let s = -6 + d. Let p = 8 - s. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 122756730 by 390945.\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 4:47 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2)*w)**(-46)\/((w*w\/w**0)\/w)**(3\/34) assuming w is positive.\nAnswer: w**(1561\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 11. Let k = 8 - m. Let g(x) = 3*x - 6. Let w be g(6). What is the highest common factor of w and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17838*s - 5 = -17839*s + m, 0 = 5*s - 2*m - 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -137384688 divided by -5724362?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from wpwap?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 9:35 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/133 and -287 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 1. Let m(p) = -2*p - 11. Suppose -10*z + 714 = -102*z + 162. Determine z*m(j) - 66*r(j).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -467 = -5*s - 4*a, 376 = 4*s - 0*a + 2*a. List the prime factors of s.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*c**2 + 193*c - 193*c)*(-1 + 4*c**2 + 1)*(5*c + 4*c - 4*c).\nAnswer: 840*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 13. Let t be 2\/(-5)*-2*15\/(-24). Which is smaller: t or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37044 divided by -126?\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1bbbab (base 12) in base 9?\nAnswer: -837575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccppppcccppcpccpcc. Give prob of picking 3 c.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: 159481.44 times 0.2\nAnswer: 31896.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 11:30 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 58443 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 + 0.24.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*sqrt(68) - sqrt(68)))\/(sqrt(12)\/sqrt(12)).\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*b + 90. Let r(m) = 32*m + 20. Let p be r(-7). Let k = b - p. Is 36 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1698*n**3 - 1581*n**3 + 3280*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89 - 151 - 230*f + 61)*(1 - 1 + f**2).\nAnswer: -230*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34\/5*k**3 - 16\/5 + 22\/5*k**4 + 8*k - 4\/5*k**2 - 4\/5*k**5 = 0. Calculate k.\nAnswer: -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*q - 597 = 234 + 729 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 2.8. Suppose -6*u + 3*t + 131 = -2*u, 0 = -5*u - 3*t + 157. Let z be ((-9)\/12)\/((-18)\/u). Which is the third smallest value? (a) v (b) 0 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 take away -1570094.796?\nAnswer: 1570094.676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 45 = 0, 34*d - 38*d = -3*y + 51 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and 1816116436536?\nAnswer: 1816116436535.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbvvvhfvvbbbvfe. Give prob of picking 3 b.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6045*t + 80 = -6025*t. Suppose -3*r = -5*l - 34, 4*l = -3*r - l - 16. Which is the fourth biggest value? (a) -3\/4 (b) 0.4 (c) r (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -422*p - 31. Is d(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12579?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -349541, -0.2, 4, -2\/3, 0?\nAnswer: -349541","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4348 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 41*t**2 - 457*t + 40. Give p(50).\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -7 (b) 2 (c) -0.5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -49229 - 0.6\nAnswer: -49229.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -5\/3*c**3 - 14 + 0*c - 32*c**2. What is the second derivative of d(v) wrt v?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.509 times 59?\nAnswer: -2272.031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 117733\nAnswer: 235466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*v - 41 - 54. Suppose 2135 = 2*n - m, -v*n - m + 5345 = 4*m. List the prime factors of n.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from tddposctssdp.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 3*d + 4. Let x = -4 + 4. Suppose 3*w - 7 + 1 = 0. Suppose -w*v - 5*l = -2*l - 25, v - l = x. Calculate s(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s - j + 40, 4*s - j - 150 = 0. Let p be (4\/(-5))\/(2 + 12\/(-5)). What is the second derivative of 41*h**2 - s*h**p - 3*h - h wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-9)\/g)\/g**(-4\/5))**30 assuming g is positive.\nAnswer: g**(-276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 2*p**2 + 18 + 16*p - 1\/6*p**4 + 1\/3*p**3. Let t(j) be the first derivative of q(j). Solve t(s) = 0 for s.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68618, 68626, 68634, 68642, 68650?\nAnswer: 68658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) 3\/8 (c) 2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 r when two letters picked without replacement from rrrcccrcccrrcccccc?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-50)*(-270)\/(-72)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8904*d**3 + 4*d + d - 7478*d**3 - 5*d.\nAnswer: 1426*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13705184 or -13705179?\nAnswer: -13705184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmfmmmmm?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1767 and 6603.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 49, 59, 69, 79?\n\"Answer: 10*z + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of b**4\/4 - 5*b**3 - 8*b**2 + 18*b - 9. Let s be c(16). Suppose 14*f + 16 = s*f. What is the remainder when 33 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (44\/(-10) - 6\/(-15)) + 6051 + 48?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y**2 + y + 7. Let t(k) = -k**2 - 1. Suppose 4*a = -2*i - 2, 0 = -a - 5*i + 7 + 6. Let s(r) = a*g(r) - 14*t(r). Let s(x) = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19101320 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 49, 0, 0.3, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/45 of a day?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1651 + 1?\nAnswer: 1652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + i)*(12228 - 8*i**2 - 12232 + 103*i**2).\nAnswer: 95*i**3 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + h + h + 0*h + 0*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1162 <= -8135\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*s + 100 = 0. Let i = s + 49. What is the remainder when i is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*y - 115 = 0, 52 + 7 = 2*h - 3*y. Let n be (-3)\/((1 + 0)\/(-1)). Suppose f = -n*f + h. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 535200437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = -4*f - x + 207, -4*x = -4*f + 388. Let m be f\/76*2*26. Calculate the highest common factor of 26 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75 - -70. List the prime factors of (-226 + 2 + i)*-1.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 0 + -5 + 6. Suppose -3*p + 1 = -o. Let v(g) be the third derivative of -g**4\/24 + g**3\/3 + 2*g**2. What is v(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*d - 8. Suppose d*q - 3*q + 5*v + 6 = 0, 2*q - v = 3. Is 13 + 2 - (-1 + q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60 - -63. Solve -19 = -4*g + 5*r - 0, -4*r = -l*g + 15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525 at most as big as 1051\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 405119279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 188999, 188998, 188997?\n\"Answer: -o + 189000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = r - 5*r + 38, -38 = r - 4*u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**2 - 78*i + 264 = 0.\nAnswer: 4, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 6 = 2*n, -2*n - 5*o - 97 = -127 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293395 is divided by 146675.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (23\/46)\/(3\/234). Solve 63 - l = 12*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 569.6922 to the nearest integer.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 122793 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b*x**3 - 2*b*x**2 + 261*b*x + 5*b - 1800*x**3 - 2*x**2 wrt x?\nAnswer: -18*b - 10800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -5*w - 20, -k + 44 = -3*w + 32 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2488086, 4976153, 7464220?\n\"Answer: 2488067*v + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-88)\/(-24))\/(2\/6). Solve l*f - 7*f - 8 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18172 + 29856. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**5\/60 - i**4\/4 + i**3\/6 + i**2. Let j be u(5). Does 9 divide (j + -1)*(-36)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139408488 divided by 6.\nAnswer: -23234748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -5. What are the prime factors of (-16)\/l*(-264)\/32?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444 divided by -7?\nAnswer: -1444\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*((-9)\/4 + 3). Which is the second smallest value? (a) k (b) 0 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 522782, 522784, 522786, 522788?\n\"Answer: 2*y + 522780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z + 11*z**2 + 4*z**2 - 23*z**2 in the form n*z + m + r*z**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 2 + 140*p**2 - 139*p**2 - 4 + 4*p - 2*p**3 + 0 as h*p + x + n*p**2 + v*p**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7716 divided by -12.\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11939843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((-10 - -9) + 2 - -5)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9173308 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -24*n + 37*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3140*z**3 + 1573*z**3 + z**2 + 1563*z**3.\nAnswer: -4*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*k + 45499 = 36139 for k.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 11:54 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 142 - 94.4. Let x = t + -23. What is x rounded to 0 dps?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - (0 + (3 - 8))) + -2. Suppose 10*v - s*v = 0. Solve 5 = -v*t - t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 j, and 1 k when four letters picked without replacement from {j: 3, k: 1, a: 4, y: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/1800 and 33\/14?\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 2*z + 6. Let x be z\/9*-3*40. What is the highest common divisor of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1568950.\nAnswer: 2, 5, 31379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -302 + 326.9. Let s = a + -24.8. Is s < 122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-19))\/(j*j\/(j**(-12)*j)*j))**(8\/13) assuming j is positive.\nAnswer: j**(48\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 7:50 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**5 - i**5 + 6*i**5)*(182 + 90 - 43).\nAnswer: 458*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (260\/(-455))\/((-11)\/((-231)\/30))*2.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35895245\/2 or -17947622?\nAnswer: -17947622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/2, -2, 21?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 836458121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -226 - -466. Suppose -6*q + 4*q - 140 = 3*r, 4*q = 4*r - a. Let b = 287 + q. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -122110211121020?\nAnswer: 122110211121011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -305 + 321. Suppose 13*x = k*x - 1215. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382 is divided by 199.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2 + 1 = 4*c, -2*q - c - 14 = 0. Let i be (-6)\/21 - 23*q\/35. Solve 5*t + i*s + 34 = 0, -4*s = 4*t + t + 37 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*w - 10*w - 6*w)*((0*w - 5*w + 3*w)*(1 - 8 + 1) - 2*w + w + 0*w - 3*w + 4*w - 3*w) in the form j*w + c + n*w**2 and give n.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -613600 to the nearest ten thousand.\nAnswer: -610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 265.8562197 rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4531 at most -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -158 - -50. Let m = -116 - i. Sort m, -1, -5.\nAnswer: m, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 3, 0.745?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 - -47.0000084. What is d rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4 + 12 = -3*o, -16 = -2*o - 2*z. Let y(b) = b**2 + b - 2. Let l(j) = -3*j**2 - 3*j + 4. Determine o*l(q) + 7*y(q).\nAnswer: -2*q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -12 + 13 - (-21 + 12 + (-1 - -12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 251732330?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 69.3747?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1814507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143738 is divided by 434.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*k = 4, -5*m = -k - 1 - 16. Suppose 4 = m*r - 2. Is 0 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -411588828 divided by -102897207\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-36)\/(-8))*-1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 6*r**5\/5 + 11*r**4\/8 + r**3\/3 + 29. Factor v(b).\nAnswer: b**2*(3*b + 2)*(4*b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*h - 7 = 0, -8 = -t - t + h. List the prime factors of (-12)\/4 + t - -21.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5)\/t)**(-44\/5) assuming t is positive.\nAnswer: t**(264\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -296*p**2. Let l(w) = 35*w - 28. What is l(b(o))?\nAnswer: -10360*o**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*o - 2\/5*o**2 - 1210.\nAnswer: -2*(o + 55)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9241, 18057, 26873, 35689, 44505?\nAnswer: 53321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -317*z - 4*z**4 - 3 - 319*z + 637*z + z**2 + 2*z**3 to the form f*z**4 + d*z**3 + a*z**2 + k*z + h and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, f: 7}. What is prob of picking 1 f and 2 k?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (24\/(-60))\/((-3)\/570). Suppose -9 - r = -2*b - 5*h, 3*b = -h + 95. Solve 9*t = 12 - b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 32\/1003?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-5) + -1 + 1. Let i(g) = -g**2 + 290*g - 3067. Let d be i(11). Let j = 86\/111 - 4\/37. Which is the second biggest value? (a) d (b) j (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17.54 - -17. Let v = -0.04 - k. Which is the second smallest value? (a) -3\/2 (b) -2\/3 (c) v (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 3) in base 6?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8534851143.88 and -144.\nAnswer: 8534850999.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 12:03 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**3*i)\/i)**(5\/7))**20*(((i*i**(4\/7))\/i)\/i*i*i**(2\/7))**(-15) assuming i is positive.\nAnswer: i**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 5*x**2 - 6*x. Let a be f(-4). Find the second derivative of n**4 + 5*n + 0*n**4 - a*n wrt n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -15) + (-23 - -17) + -16?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/70 - (-1)\/(-10)*11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7807 is divided by 186.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 337477408?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence co when two letters picked without replacement from {o: 4, c: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 34234, 68503, 102772, 137041, 171310?\n\"Answer: 34269*o - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 2:33 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/1 - (-2409)\/(-365)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 - a + 4. Let l be f(0). Is (-6)\/l*(-1628)\/33 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**4\/3 - 14*z**3\/3 - 136*z**2\/3 - 226*z\/3 - 35 = 0. Calculate z.\nAnswer: -5, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 474 + -472. Let z = 42\/55 - 4\/11. What is the nearest to z in 5, x, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (75\/(-50))\/(9 + -12). Which is the closest to -5? (a) 4 (b) -4 (c) 3 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 987812 (base 10) to base 16.\nAnswer: f12a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2. Let g(r) = 3*r + 3. Let u(m) = -12*m - 11. Let y(z) = -22*g(z) - 6*u(z). Determine j(y(p)).\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 118*v**3*z**3 - 143*v**3*z**2 + 3*v**2*z**3 + 2*v**2 + v*z**2 wrt z.\nAnswer: 708*v**3 + 18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42555975 + -2?\nAnswer: -2.42555975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 368 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 288859211 to the nearest integer?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6896 is divided by 111.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 767, 2427, 4955, 8351, 12615, 17747, 23747?\nAnswer: 30615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3445 is divided by 282.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.071, 1\/41, -62, -8\/33 in decreasing order.\nAnswer: 0.071, 1\/41, -8\/33, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g**2 + 41*g + 98. Let t(a) = 6*a**2 + 42*a + 97. Let r(s) = -5*h(s) + 4*t(s). What is the tens digit of r(-31)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - 212?\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - k + 0*k = 229, 4*y + 3*k = 930. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68556883699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**2 + 6*v**2 - 3*v**2)*(19 - 18 - 280*v**3 + 583*v**3).\nAnswer: -606*v**5 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1130062?\nAnswer: 2, 349, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/22 and 121\/1872?\nAnswer: 20592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2099 by -14.\nAnswer: -2099\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 19*g**2. Let s(w) = -8937*w. Calculate s(v(p)).\nAnswer: -169803*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32 take away 0.1484?\nAnswer: -0.4684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5\/3 - 61*q**4\/3 + 1286*q**3\/3 - 10244*q**2\/3 + 5640*q + 9504 = 0. What is q?\nAnswer: -1, 4, 18, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 82*f**2 - 7533*f + 125. Determine r(-137).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 126.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 + 159\/2. Which is the smallest value? (a) 5 (b) -4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 913062302?\nAnswer: 2, 456531151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*(-1 + sqrt(1331) + sqrt(1331)) - (sqrt(1331) - (sqrt(1331)*2 + 0)))**2.\nAnswer: -22*sqrt(11) + 1329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98425761 is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6*3\/6*-2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4225067153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 11*g**2 - 9*g - 8. Let d be q(10). Suppose d*n - 6 = n + 4*h, -5*n + 6 = 4*h. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(19) + 0 - sqrt(19)) + -2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29333 = 23*n + 7207. What is the greatest common factor of n and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82779, 81912, 81045?\nAnswer: 80178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + sqrt(9)\/sqrt(3)) - 3*(sqrt(3) + 0)*-6.\nAnswer: 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -18*p**3 - p**2 + 70*p + 30. Let m(x) = 21*x**3 - 69*x - 6. Let d(z) = 6*a(z) + 5*m(z). Factor d(i).\nAnswer: -3*(i - 5)*(i + 2)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -2*r - 6. Let y = 1 + 3. Let z = y + -8. Sort r, z, 0.2.\nAnswer: z, r, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.3 + 0.1. Let i = 0.8 + a. Let z = -5 + 3. What is the nearest to z in 2, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*j - 320 + 1181, -2*c = j - 344. Suppose c + 82 = 3*s. Let d = s - -27. What is the highest common divisor of 14 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i - 21*i - 78 = 4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s. Let t(q) = -24 - 1646*q + 24 - 1298*q + 603*q. What is t(k(i))?\nAnswer: 7023*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/5)\/h**(-1))**47*(h\/h**(-1\/4))\/(h**(-1\/5)\/h)*(h*(h\/(h*h**(-3)))\/h*h*h)\/(h**(-2)*h) assuming h is positive.\nAnswer: h**(1673\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 + 46*o**2 - 50*o - 33. Give u(-24).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 111?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/37, -0.5, 1\/3, 1\/6, -3\/11 in decreasing order.\nAnswer: 1\/3, 1\/6, -1\/37, -3\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.52611t in grams?\nAnswer: 4526110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 327 or 364?\nAnswer: 364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 33\/(-9))*(6 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 96*u - 92*u + h, 0 = 4*u + 2*h + 16 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99.819439572 + -98.\nAnswer: -197.819439572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 119 and 122572771.\nAnswer: 858009397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o + 0*o + 191 - 191. Let r(a) = -14*a. What is r(p(i))?\nAnswer: -42*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -106 smaller than 96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 19c4a?\nAnswer: 19c47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10002 - -14663. List the prime factors of p.\nAnswer: 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 + 83*j**2 - 40*j - 41.\nAnswer: -(j - 41)*(j - 1)*(2*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*8\/10*5. Suppose -4*d + 56 = -4*h, -37 = -p*d + 2*d - h. What is the remainder when d is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (12 - (10 - 12))) + 27 + 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (3 - (-12 - -8))) + -17?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/11)\/(x**(-2)*x))**(2\/51) assuming x is positive.\nAnswer: x**(26\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -10014?\nAnswer: 10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 1 - 2 + 0 + x. Let q be f(2). Suppose t + 2*y + 4 = -2, 2*y = -2. Put t, 1, q in ascending order.\nAnswer: t, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4405418.\nAnswer: 2, 101, 113, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j. Let i be l(-1). Suppose 0 = -5*k + 5. Let p = -3 + k. Put i, p, 3 in decreasing order.\nAnswer: 3, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-4)\/(-6))\/(36\/(-129)) and 3\/(-6) - 11\/(-5)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3520 and 1160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/((-34)\/(-3)))\/((-30)\/40). Let t = 206 + -204. Which is the second biggest value? (a) t (b) i (c) 3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 17?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -8*h**2 - 6*h. Let k(p) = 24*p**2 + 17*p. Calculate 4*k(x) + 11*y(x).\nAnswer: 8*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 9*p + 86. Let w be a(-10). Let x be 1078\/(-2268) + w\/(-8). Suppose 2*l + f - 6 = 0, -5*l + 0 = -2*f + 3. Which is smaller: l or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 17 - 22*l**2 + 23*l**2 - 18. Let x(i) = i**3 - 5*i**2 + 2. Determine 3*t(b) + x(b).\nAnswer: b**3 - 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.06 + 0.06. Suppose 4*n = -0*n + 24. Let k be (n\/(-36))\/((-6)\/(-9)). Which is the third smallest value? (a) k (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*sqrt(2057))**2 - -6*sqrt(51)\/sqrt(27).\nAnswer: 2*sqrt(17) + 2062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**3 - 10*v**2 + 713*v - 3567. Give b(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3 - 1 + 1 + n - 3. Let a(o) = o**2 + 6*o - 56. Let s be a(9). Let x = 79 - s. Give r(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42003825 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzp. Give prob of sequence zp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 2*p + 3*p - 6*p + 23 - 13.\nAnswer: -5*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*q**2*t - 532*q**2 - t + 1882 wrt q.\nAnswer: 6*q*t - 1064*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56584, 113160, 169736, 226312, 282888, 339464?\nAnswer: 396040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n + 22 = 29*n. Suppose 3*l**3 + 320*l + 36*l**n - 2*l**3 - 260*l + 2*l**3 = 0. Calculate l.\nAnswer: -10, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 8*l + 6. Determine o(-5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 409 divided by -1?\nAnswer: -409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1620808806.\nAnswer: 2, 3, 4021, 67181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 + 8 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3045 + 3051. Solve -4*d - 2*c - 4 = -g*c, 4*c + 24 = -3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 2:05 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6, 88, 232, 438, 706, 1036?\n\"Answer: 31*i**2 - 11*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y - 7. Let n be w(14). Let b = 37 + n. Solve u = 5*j, -b*j + 24 = 2*j + 4*u for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/99009 and -47\/15440?\nAnswer: 7920720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 + 58*w**2 + 18. Calculate f(-29).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*g + 128, 9*g - 4*g = -2*s + 119. What is the highest common divisor of 62 and s?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22a32e (base 15) to base 11.\nAnswer: a30033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8751 + -5946. Suppose 0 = 3*j - c + 1530. Calculate the greatest common factor of 25 and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41132 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.5, 5, -0.19, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(380)\/(sqrt(10)*2))\/(sqrt(288)\/sqrt(9)).\nAnswer: sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t + 4*t + 2 + 3. Let z(o) = o**2 - 9*o. Let m be z(9). Let f be d(m). Solve f*x - 8 = -3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**3 - 634*t**2 - 5939*t + 87. Determine d(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1585800 rounded to the nearest ten thousand?\nAnswer: -1590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1599787092 + -95766\nAnswer: -1599882858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -54*q + 326. Let w be d(6). Solve 0 = w*r - 9*r - 35 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b = -30*b + 44. Sort 5, b, 17, -5 in increasing order.\nAnswer: -5, b, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 times 2.3\nAnswer: -0.207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/12249 and 73\/789?\nAnswer: 3221487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6147, 6224, 6301, 6378?\nAnswer: 6455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*c - 10 = 0. Suppose -j + 44 = 3*n, 4*j - c*j - 23 = -n. Suppose n*u - 1414 = 6*u. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9872 + -9879. Let t(m) = -7*m - 27. Calculate t(x).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + (66 - 44 - 28)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 2. Let p = -5 + 2. Let r = 65 + -64. Which is the second smallest value? (a) p (b) v (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 + 25*h + 123. Determine x(13).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 355709 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 60 = 11*d - 24*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.99 + -0.01. Let x = -182.1 - -174. Let z = i - x. What is the third smallest value in 0, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (81\/(-135))\/(15\/(-50)). Let p(o) be the first derivative of -5*o + 1\/2*o**k + 24. Determine p(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102142202 (base 5) in base 13?\nAnswer: -11c94b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5635 is divided by 188.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 4*t = 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 92\/48*-2 - -4. Let l(w) be the first derivative of -z*w**3 - 1\/16*w**4 + 1 - 1\/8*w**2 + 0*w. Suppose l(y) = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 2084394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**5 - 23*j**4 - 59*j**3 + 515*j**2 - 756*j + 324 = 0.\nAnswer: -18, -9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.08 + 19.32. Let r = -25.6 - -15. Let n = r + g. What is n rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69531, -68475, -67419?\nAnswer: -66363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 15*x**2 - 91*x + 82. Let y be c(5). Solve 3*p - y = u, 3*p + 32 = 4*u + 31 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/104265 and 109\/600.\nAnswer: 4170600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 k, and 1 l when four letters picked without replacement from {r: 1, c: 3, l: 6, k: 4}.\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 3*p**8\/112 - 4*p**7\/35 + 11*p**6\/60 - 2*p**5\/15 + p**4\/24 + p**2 + 40. Solve j(k) = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 166*k - 5. Is x(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 429 divided by 3.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3157\/3 - 883. Let r = s - 169. What is the second smallest value in 33, 2\/3, r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.6, 1336, 3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/(-9) + 58\/(-6)*-19.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3868 and -0.4.\nAnswer: 0.15472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -58303*f - 816263. What is z(-14)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (15 - 13) - ((-1 - 15) + -42 + -56)\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -7*p**3\/6 + p**2\/2 + p. Let d be 14\/(-12) + 5\/30. What is the units digit of l(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -8)*(-15)\/(-6). Let a be -105*((-24)\/z - 2). Calculate the highest common divisor of 28 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 v when three letters picked without replacement from {v: 4, z: 1, c: 4, i: 1, j: 6}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-244)\/(-36) - (68\/17)\/(-36).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w + 30. Suppose 2*s + 3*b - 10 = 0, -6*b = -3*b + 12. Let r be y(s). Let m(t) = t**3 + 5*t**2 + 3*t - 4. Let v be m(-3). Sort 6, r, v.\nAnswer: r, v, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -63*w - 7871. Let l be n(-125). Let f(d) = -4*d - 3. Let o be f(-4). Let t = o + -8. Solve l*v = 2*y, 0 = t*v - v + y + 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4*(2*sqrt(288) + -2) - (-4*((1 + sqrt(288))*-5 + sqrt(288)) + 0))**2.\nAnswer: 8640*sqrt(2) + 166113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/9)\/((-1)\/42). Let h be 12\/30*15\/3 - -446. Suppose 8*r + 0*r = h. What is the highest common factor of r and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 6*x - 6. Let t be w(-5). Which is the nearest to t? (a) -2\/17 (b) -4 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 3, 0.5, -1\/35, -3, -0.4 in decreasing order.\nAnswer: 3, 0.5, 2\/17, -1\/35, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**4\/9 - 8432*f**3\/9 - 33344*f**2 - 398592*f - 1591296 = 0. Calculate f.\nAnswer: -2072, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**(2\/9)*k)\/k*k)**(-8)\/(k*k**0\/k*k)**(17\/5))**(4\/5))**(-4) assuming k is positive.\nAnswer: k**(15248\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.1, 9, -14, -77 in decreasing order.\nAnswer: 9, -0.1, -3, -14, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 728?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64 + 80. Let v be p\/56 - (-174)\/(-21). Is ((-38)\/v)\/((-12)\/(-528)) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -440*w - 71. Calculate a(2).\nAnswer: -951","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 338069 = 3*g, -26*d + 29*d + g = 253568. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2. Let p(n) = 2*n + 462. Calculate p(d(y)).\nAnswer: -2*y**2 + 462","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**2. Let d(p) be the second derivative of p**6\/60 + p**4\/4 - p**2 + 40*p. Let m(s) be the third derivative of d(s). Determine v(m(y)).\nAnswer: 576*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (36\/126 - (-9)\/(-7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32554363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236691 divided by -6069.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 12 = -y - 20, -y - 2*w = -40 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005560606 rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*f - 91*f - 89*f - 29*f + 25 + 410*f - 96*f.\nAnswer: -2*f + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 372192 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(13) + sqrt(130)\/sqrt(10) - sqrt(13)) + 1 + -4) + (6*4*sqrt(1300) + sqrt(1300))**2*1.\nAnswer: -5*sqrt(13) + 812515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(18) + sqrt(18) + sqrt(18)*3 + sqrt(18))\/sqrt(9)*-6 + 1*((sqrt(2) - sqrt(8)) + -1 - (sqrt(50) - sqrt(450) - sqrt(50))) + -2)**2.\nAnswer: -300*sqrt(2) + 5009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15454 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/((-256)\/(-16))*(-26)\/2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1435359 or -1435312?\nAnswer: -1435359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1385 + 425. Let l = 956 + f. Which is greater: -2.6 or l?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 0 + 6. Let k(j) = g*j + j - 4 + 7. Let f(r) = r + 1. Let x(d) = 29179*d - 87536. Let u be x(3). Determine u*k(n) - 2*f(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48 - 37*u**2 + 48 + (0 + 0 + 1)*(0*u + 2*u + 2*u**2 + u).\nAnswer: -35*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(1\/7)*t*t)\/t)**(-29))**(-18) assuming t is positive.\nAnswer: t**(4176\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(1 - 1 + 2*x)*(0 - 7 + 2)*(-2 + 8 - 1).\nAnswer: -100*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 30 = 2*f, 4*v - 5*v + 5*f - 3 = 0. Find the first derivative of -58 - 15 - 7 - v - 123*n wrt n.\nAnswer: -123","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(132)\/(sqrt(120)\/(sqrt(80)\/sqrt(8))).\nAnswer: -3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**3 + 4*l**2 - 5*l - 258. Let i(h) = 6*h**3 - 13*h**2 + 17*h + 776. What is 2*i(x) + 7*v(x)?\nAnswer: -2*x**3 + 2*x**2 - x - 254","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 51*t + 1. Let m(z) = 9127*z - 7. Let w be m(2). Let o(u) = u - w + 18247. Calculate q(o(n)).\nAnswer: 51*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 0, -5, 2.\nAnswer: -5, 0, 2\/21, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3307596.\nAnswer: 2, 3, 19, 89, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence phsu when four letters picked without replacement from {p: 3, u: 1, s: 3, x: 2, o: 3, h: 1}.\nAnswer: 3\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 6:33 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 560442211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1066 and 21074?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 1. Let c(n) = 7*n**2 + 2. Let v(x) = -4*b(x) + c(x). Let u(g) = -6*g**2 + 1. What is -4*u(s) - 3*v(s)?\nAnswer: 3*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47560*t**2 - 6 + 1496*t**3 + 47560*t**2.\nAnswer: 1496*t**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 369 and 3485?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 69.884726\nAnswer: -349.42363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 11:10 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 11*j + 1. Let t be i(-11). Let a be ((-1)\/21)\/(2 + t). Let p = -2327\/252 + a. Calculate the common denominator of 29\/11 and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95 + -102. Let r = 0 + 1. Which is smaller: r or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.78 - 791982.7044?\nAnswer: -791985.4844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7676687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*y - 0*m + 11055, -3*y + 6657 = -3*m. Is y a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {f: 1, a: 1, t: 2, s: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/(v**25*v)))\/v)\/(v**27*v)*v*v\/v**(-37)*v**39*v*v)**(-18\/7) assuming v is positive.\nAnswer: v**(-198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -725 + 716. Let y = 1.95 + 0.05. What is the third biggest value in t, y, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-10)*1)\/1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 25 = -4*i, i + i = -10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2\/27)*k*k)\/k*k*k**(-6))\/(k**(-1)\/(k\/k**(-20))) assuming k is positive.\nAnswer: k**(515\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*w**2 + 4*w**2 - 3*w**2)*(-5*w + 2 - 2)*(68 - 758*w - 20 - 30 - 18) in the form i*w**2 + j + v*w**4 + a*w + t*w**3 and give v.\nAnswer: -26530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a year?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 525104903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 255 - 35. Let d = t + 525. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 24 - 11. Let n(a) = a**3 - 8*a**2 + 5*a + 14. Let d be n(o). Solve 0 = 2*w + x + 7 - 3, d = w - 5*x - 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6334451381 to the nearest integer?\nAnswer: 79589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -37. Let c = k - -41. What is the highest common factor of 110 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, -20, -472, -1342, -2768, -4888?\nAnswer: -7840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*q**4\/5 + 3196815864*q**3\/5 + 70969665428952964*q**2\/5 + 9462621844072672*q + 1577103628838720 = 0. Calculate q.\nAnswer: -44400220, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2107 or 2108?\nAnswer: 2108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2125, 4136, 6147, 8158?\nAnswer: 10169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3678379*c**3 - 2947605*c**2 - 2*c wrt c?\nAnswer: -22070274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -266*p**2 - 579*p**2 + 1121*p**2 to the form k*p**2 + j*p + h and give k.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((2672000\/(-15))\/(-8))\/(20\/420). What is d rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 7*m**2 + m - 2. Let d(q) = 7*q - 5. Let t be d(2). Let x = -2 + t. What is y(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1584)*-2 + 5 + (sqrt(1584) + 2*sqrt(1584) + 0)*-4 + 5)**2.\nAnswer: -3840*sqrt(11) + 405604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 - -64.64. Let t = v - -1.43. Round t to 1 decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**3 - 25*f**2 - 15*f + 9. What is g(-12)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1046, 1064, 1082, 1100, 1118?\n\"Answer: 18*c + 1028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*a + 4, 0 = -5*a + 3*r - 4*r + 25. What are the prime factors of 2*(-3)\/a + 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 70, 112, 154?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-1)\/(2\/10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4 + 23840*h**3 - 35497748*h**2 - 71090888*h.\nAnswer: -4*h*(h - 2981)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/180*(14\/(-21))\/1*2\/4.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*((2*sqrt(343)*-2 + 1 + (sqrt(343) - sqrt(343)*-2) + sqrt(343))**2 + (sqrt(343)*-1 + 2 + sqrt(343) + -1 + 5)**2).\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/8 + 104\/32. Solve -d*x = -9*x - 4*w - 16, -20 = -x + 5*w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 202.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81 + -49. Let u = -23 + m. What is the remainder when u is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.38821952 to 3 decimal places.\nAnswer: 2.388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1940 - 1756.2. Let b = x - 184. Is 0.038 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - ((-3 - -7) + 0)) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -1385?\nAnswer: 1385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 535 = -4. What is the remainder when k is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 7*t + 59. Suppose -502 + 230 = 34*l. Determine p(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 8258364893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 382788?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -125, -115, -103, -89, -73, -55, -35?\n\"Answer: v**2 + 7*v - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -1185.33115615\nAnswer: -1184.93115615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -50.8219\nAnswer: -10.16438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3 - 7 = 0. Suppose 1 = -3*t + 5*h, u*t - 3*t = -3*h + 3. Which is the nearest to t? (a) -4\/9 (b) -3\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 3\/35*s**5 + 2\/7*s**3 + 11\/42*s**4 + 0*s**2 + 2*s + 1\/105*s**6 - 11. Factor d(a).\nAnswer: 2*a*(a + 1)*(a + 2)*(a + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**2. Let s be ((-6)\/21)\/(1\/(-7)). Let c be 1 + (-3)\/(1 + s). Let p(g) = -g + g - g + c. What is h(p(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 675632095 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3283203*a**3 + 1 + a**2 - 1278*a - 3283201*a**3 - a**2 to the form j*a + w*a**3 + d*a**2 + b and give j.\nAnswer: -1278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 749336429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8783.798 millilitres?\nAnswer: 8.783798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4*7*4\/28\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 162773505, 162773503, 162773501, 162773499, 162773497, 162773495?\n\"Answer: -2*x + 162773507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63241.\nAnswer: 63241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -642 - -1204. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -68*h**3\/3 + h**2\/2 - 50*h - 47. Find the second derivative of i(t) wrt t.\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 994 a factor of 1286189282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*z - 34 = 0, 4*u + 2*z = 16 + 72. Suppose -4*i + u = -23. Suppose 0 = n - 23 - i. What is the remainder when n is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -77.\nAnswer: -77, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 2:06 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 98772334 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.34 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 6*v = -5*v. Is 9\/175 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*j*l**2*r - 66*j*l**2 + 2*j*l*u - 19*j*r*u + 20*l**2*r*u + 6*l**2*u with respect to r.\nAnswer: -7*j*l**2 - 19*j*u + 20*l**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12473366 (base 8) to base 16.\nAnswer: 2a76f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**4 + 1 - 2*o - o**3 + 8*o**3 - o**3 + 2*o**2 - 3*o**3 to f*o + i*o**3 + s + l*o**2 + j*o**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/29 in 5, -1\/5, -55.6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2555010 divided by -1277505\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -982\/2103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x - 3*x + x)*(-8 + 3 + 1)*(-5 + 1 + 3).\nAnswer: -24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 12*f**2 + 10*f - 18. List the prime factors of a(-10).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6)*(-2*d**2 + 2*d**2 - d**2) + (-d - 5*d + 4*d)*(-1514*d + 8124182 - 1034*d - 8124179).\nAnswer: 5098*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 5*z + z = -32, -3*g - 2*z + 20 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*k + 43*k + 23*k**3 + 2*k**3.\nAnswer: 25*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5089561+-0.1\nAnswer: -5089561.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2 - 12*a + 39. Let j(p) = p - 1. Let d(c) = -f(c) + 2*j(c). Let u be d(-9). Sort -3, 3, u in descending order.\nAnswer: 3, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010100 - 1010110010011010101?\nAnswer: -1010110011011101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2196*y - 15324 = 2932*y + 2340 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -3, 3, 0.4, 1\/60, 2\/11, -2786?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (0 - 0 - (2 - -1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7280)\/(-390) + (2 - 20))*(-32 + 2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 563718892 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, z: 1, b: 12}. What is prob of picking 2 b and 1 z?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -2667972982024.2.\nAnswer: 2667972982023.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**5 + 7908*j**4 - 55508*j**3 + 87276*j**2 - 39680*j = 0. Calculate j.\nAnswer: -1984, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) -1962 (c) 0.2 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -11. Let d = -186.7 - -166.7. Which is smaller: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1208 is divided by 1176.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57*m**3 - 507*m**2 + 507*m**2 + (-m**2 - 2*m + 2*m)*(-m + 3*m - 3*m) - 2*m**3 + 3*m**2 - 3*m**2 - m**3 + m**3 + 2*m**3.\nAnswer: -56*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119075455?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcyg when four letters picked without replacement from ggggwcgcxwcyyygyyxtg.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 154*d + 8. Let b be h(1). What is the greatest common divisor of 18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -28. Suppose t + x = 8, -5*t + 5*x = -t - 77. What is the remainder when (-47)\/(t\/(-26)*(-2)\/(-1)) is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8249681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 13, 70 in descending order.\nAnswer: 70, 13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -13*q**2. Let v(x) = -6*x. Determine h(v(a)).\nAnswer: -468*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23490453 divided by -7830151.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -5*w**4\/3 + 9215*w**3\/3 - 4277930*w**2\/3 + 9862380*w - 14045400 = 0.\nAnswer: 2, 5, 918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17 (b) -2 (c) 0.3 (d) 1041 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43730.\nAnswer: 2, 5, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sh when two letters picked without replacement from sbbshhhb?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/5 - 18063*m**2\/5 + 39787*m.\nAnswer: -m*(m - 11)*(2*m + 18085)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -42?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**3 + 484*m**2 - 2*m**3 - 469*m**2 + 0*m**3 - 24 wrt m.\nAnswer: -3*m**2 + 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -21*i + 21. Let q(b) = -10*b + 10. Let d(y) = -3*k(y) + 7*q(y). What is the units digit of d(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4786.62 times -1\nAnswer: -4786.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 9:34 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7225 and 926245.\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22488 is divided by 388?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -17537 (base 10) to base 14\nAnswer: -6569","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 3 - 4)*(-l - l + 0*l)*(-10 - 4 + 9) to the form q*l + c and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 1)*(-123*t - 59*t + 115*t - 1)*(2 - 2 - 2) as y*t + q and give y.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -3. Suppose -3 = -p + z. Let k(d) = d**3 + 20*d**2 + 22*d + 89. Let r be k(-19). Calculate the greatest common factor of p and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1375 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/28*6*12\/(-9). Is 18\/12 + 223\/d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*g - 23 = 0, 5*g - 25 = -n - 4*n. Suppose -13 = -3*d - n. Suppose d*m + 34 = 5*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from ddeddddddedded.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -344+220\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 38*r**3 - 10738*r**2 + 63771*r - 95391. Let z(w) = 105*w**3 - 29530*w**2 + 175370*w - 262325. Let c(a) = -25*n(a) + 9*z(a). Let c(m) = 0. What is m?\nAnswer: 3, 530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 5.6. Let k = m - 0.8. Suppose 3*d = 4*h - 21, 0*d + 4*h - 27 = 5*d. Which is the closest to -0.1? (a) d (b) k (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 41*j + 6. Suppose t = -15*t + 32. What is the remainder when y(t) is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 20 = -5*a, -2*a = -2*y + 4*y - 8. Let c be 1\/(5\/y + -1). Suppose -w + 6 = c. Is w greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by 1082483\nAnswer: 39\/1082483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 1)\/(-2)*-2. Suppose -r*m + 121990 = 4*d - 3*d, -d + 121975 = 5*m. What is d rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -w + 4*w. Suppose w*d = 6*d. Suppose 3*o + 2*o - 60 = d. Solve 4*t = 2*v + 2 + o, 4 = -4*t - 4*v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-36)\/(-2) + 0)*5. Suppose 2*j - h = -j. Calculate the highest common factor of 45 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-72))\/(-1*4\/42)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*q + 55611 - 27810 - 27809 - 3 - 2*q + 3 + (-q + 0 + 0)*(6 - 4 - 3).\nAnswer: 32*q - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnfnfffmndiddh. What is prob of picking 2 n and 1 f?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -554*w + 552*w - 10 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 542 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 12\/(-6)*(-2)\/(-16)*2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.623 - 0.423. Sort 0.1, q, -2.\nAnswer: -2, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27056?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.836 - 0.064. Which is greater: 0.4 or x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -181, -346, -513, -682, -853, -1026?\n\"Answer: -j**2 - 162*j - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 5*k**2 + k - 6. Let p(o) = o**3 - 7*o**2 + o - 7. Let f(q) = 5*p(q) - 6*x(q). Suppose 5*c - 2*c = -12. What is f(c)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 263, -150, 242 in decreasing order.\nAnswer: 263, 242, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 226532609 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.26127 rounded to 1 decimal place?\nAnswer: 10.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*a - 1 + (2*a - 5*a + a)*(0 + 4 - 6))*(61 - 61 - 27*a).\nAnswer: -189*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59361619?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -4*f + 12, 4*f + 84*j - 89*j = 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -27 (b) -2 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 890\/3 + (20\/(-12) - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 356435 + 356435.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.591 + -0.61426. Let b = 0.064828 - n. Let o = b + -0.088. Round o to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/3148825 and -31\/765.\nAnswer: 28339425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 270738316, 270738315, 270738314?\nAnswer: 270738313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-2\/5)\/v*v)**(-3\/5))**(5\/6))**(-2\/65) assuming v is positive.\nAnswer: v**(-2\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/5)\/(6\/(-20)). Suppose 0 = j + l*j. Suppose -2*v + 6*v - 156 = j. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*t - 33012 = -2*t, 2*q + 2*t = 13204. Suppose 43*b - 47*b = -q. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 - 40. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - m - 100. Let u = m - 14. Suppose -5*l + u = -49. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((((sqrt(150)\/sqrt(10) - sqrt(15)) + sqrt(15))\/sqrt(3))**2 + sqrt(80) + -2)*6*-3.\nAnswer: -144*sqrt(5) - 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 143 - 81. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzbbzzzzb. Give prob of picking 2 b.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 2. Let k = 195 - 195. What is the third smallest value in 0.4, x, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 383341 to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.65 + 0.8. Let k = -0.41 + 0.16. Let a = b - k. What is the smallest value in 5, a, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 5*j + 8. Determine g(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 4*n**2 + 4*n - 1 - 3*n**2.\nAnswer: n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 189682 + -470888. Let c = -111206 - a. Round c to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58031.117321 - 44775.5073208. Let p = 13255.36 - x. Let z = p - -0.25. Round z to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 598*u**2 + 164*u - 7. Is z(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -107 - -145. Suppose 4*f - d + 3*d - 218 = 0, 4*f + 4*d - 208 = 0. Calculate the greatest common divisor of j and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18*-0.01\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u = -6466 + 1400. Is 299 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -299, -2386, -8041, -19046, -37183, -64234?\n\"Answer: -297*v**3 - 2*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 116*z**3 + 52*z - 3 wrt z.\nAnswer: 696*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59357524 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 less than 401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 5) in base 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -45*l - 21. What is the hundreds digit of i(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 9) in base 11?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 - u + 5. Let w be h(-3). Let d(n) = -n**3 - 11*n**2 - 10*n + 6. What is the lowest common multiple of d(w) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373 = q - 187*n, -789*q + 6*n + 2 = -785*q - 1 - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -137*z + 3839. Give w(28).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/6 and 87\/78794.\nAnswer: 236382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 204 in -79, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 5*u**2 + u - 8. Let t be h(-4). Sort 0, -4, t.\nAnswer: -4, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 676221 is divided by 63?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 38. What is p(-14)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (80\/70)\/((-3)\/(-567)). What is the greatest common divisor of 144 and t?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1122 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*w**3 - 293681*w**2 + 293681*w**2.\nAnswer: 43*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 976683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 1641*h**2 - 70*h + 71. Let q be j(1). What is the highest common factor of 2 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8908.419 - -8836. What is o rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-131*r + 140*r - 1162*r)*(-3*r - r + r).\nAnswer: -6918*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 27.9.\nAnswer: 25.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**4 + 3*n**4 - 3*n**4)*(n - 2 + 2) + (1 - 2*n - 1)*(-n**4 - n**3 + n**3).\nAnswer: 5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(-1)\/2*(-48)\/18. Let o(u) = 12*u - 11. Let q(l) = 13*l - 12. Let m(p) = -6*o(p) + 5*q(p). Give m(a).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/1398 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24225, -24556, -24885, -25212?\nAnswer: -25537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k. Let i be d(0). Suppose 0 = 3*l + 2*h - 60, 4*h + 40 = 2*l - i. Suppose -3*g - g = -l. Solve -g*c = -0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + d**2 - 1. Let k be ((-2)\/(-5))\/((-18)\/(-540)). What is the lowest common multiple of f(-2) and (9\/k)\/((-12)\/(-176))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*i**3\/8 + 237*i**2\/8 + 93*i\/2 + 15\/2.\nAnswer: 3*(i + 2)*(i + 5)*(11*i + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 3. Let z(c) = -c + 2. Let h(j) = -4*b(j) - 3*z(j). Suppose 2*u - r + 20 = r, 32 = -2*u + 5*r. Let q be h(u). Solve -3*s = -0*s - q for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 7*l - 5. Let i be x(-5). Suppose -i*h + 3*h = 4, h = v - 9. Suppose 27 = 2*s - v. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -38 (b) -3 (c) -2 (d) 3 (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-1*4\/150). Let c = w + 123. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 3*s + 3. Let x be h(5). Let j = x + -20. Let r = j + 15. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -8*f + 12. Let j be n(-6). Let k be (0 + 2 - 1)*6. What is the highest common factor of j and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 8, -16, -74, -178, -340, -572?\nAnswer: -886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.6 - 10. Let p = r + 6.4. Which is bigger: p or 2\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*v**2 - 27*v**2 + 16*v**2 - 2*v**2.\nAnswer: -51*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -952 = -0*f - 8*f. What is the remainder when f is divided by 4\/48 - 9347\/(-156)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 12*h**3 + 26*h**3 - 388*h**4 - 5 + 389*h**4 + 2*h as s + w*h**3 + y*h**4 + v*h + x*h**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + 2*w**2 - w**2)*(-5*w + w + 7*w) + (-w + 2*w - 2*w)*(3*w**2 - 5*w**2 + w**2) + 5*w**3 - 3*w**3 - 4*w**3 + 2 - 2*w**3 - 2.\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 122, 128, 146, 182, 242, 332?\n\"Answer: d**3 - d + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10042 times 214.3?\nAnswer: 21.520006","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 419 a factor of 1042493788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.44571 days to milliseconds.\nAnswer: 38509344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(80)*3 - sqrt(80))*2 - sqrt(80)))**2.\nAnswer: 25920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 - 46. Let g(n) = 77*n + 1. Let u be g(x). Suppose -3*c + 530 + u = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 + 13 - 7*r)*(24*r - 2 - 14*r - 8*r) in the form v*r + b + f*r**2 and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-6 - -1) - (-2 + 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -16. Calculate the common denominator of (-198)\/(-120)*k\/(-3) and -61\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/1639 and 50\/8425503.\nAnswer: 92680533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 1:49 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/5))\/(l*l**(-4\/7))*(l**(-1\/2)*l)**(-47) assuming l is positive.\nAnswer: l**(-1577\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -33672.\nAnswer: 1\/11224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115594145 divided by 1.\nAnswer: -115594145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 2)*(2576*a - 2581*a - a**3 + 2*a**2 - 2*a**3) as q + m*a + v*a**2 + i*a**3 and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*v + 123*v - 11*v**3 - 246*v.\nAnswer: -11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 240.68447008 + -2\nAnswer: 238.68447008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 170*r - 336. Let s be b(2). Sort -1, -337, s, 2 in increasing order.\nAnswer: -337, -1, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 - 464*b**2 + 49 + 3*b - 16 to r + o*b**2 + a*b and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2976308 times 0.06\nAnswer: 178578.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from llwlwww?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gfs when three letters picked without replacement from {g: 5, r: 1, s: 1, p: 1, f: 3, a: 2}.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*x - 2. Suppose v = -x*v + 4. What is the smallest common multiple of 11 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 5)\/(406\/29). Which is the third biggest value? (a) 4\/7 (b) 40 (c) -5 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kssw when four letters picked without replacement from swkkkkqsqkgq.\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -114 - -118. Let g = -1.96 - 0.04. What is the third smallest value in n, g, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 11*s**2 + 8*s + 9. Let p(j) = -3*j. Let m be p(4). List the prime factors of u(m).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -1\/4, -1325, -11\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/(-8))\/(12\/32). Let j be (-1)\/s - (-1 - (-218)\/(-8)). What is the greatest common factor of j and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*q + 30*q - 172*q + 30*q + 39*q + 41*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 2:56 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*r - 21 = 0, 4*t + 5 - 25 = -2*r. Let d be t*1 - (-3 - -3). Suppose 59 = d*a + 2. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532544317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 503230 (base 8) to base 12\nAnswer: 7b960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*z**2 + 2 - 2*z**2 + 5*z**2)*(-5 - 2 + 3) as s*z + u + t*z**2 and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 518 - 508 = 0, -29 = 3*j - 7*s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*i + 10. Let q be 5 + (-3 - (0 - i)). Suppose -80 = -5*k + 4*d, 2*k - 64 = -2*k + q*d. What is the remainder when k is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -565\/27. Let u = z + -31\/54. Which is the third biggest value? (a) 1\/4 (b) 2\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 + 18*d - 45. Let u(p) = -p**2 + 2*p + 6. Give m(b) - 4*u(b).\nAnswer: 2*b**2 + 10*b - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 0*l**2 - 2*l**2 + l**2 + 9*l + 14. Let u be g(10). Solve 0*h = u*w + 5*h + 17, -2*h = -2*w - 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 - -67. Suppose 283 = b - p*s + 12*s, b - 274 = -4*s. Calculate the highest common divisor of 11 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15.7 * 12.08889\nAnswer: -189.795573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/18*-214 + (-120)\/(-1080). Suppose -4*j = 2*g - 12, 2*j - x + 26 = 4*g. Solve -1\/4*o**5 + 1\/4*o**2 + 2*o + 1 - 5\/4*o**g - 7\/4*o**3 = 0 for o.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3 + (sqrt(931) - sqrt(931)*-2))**2*3 + 4)*-5.\nAnswer: 1890*sqrt(19) + 125800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-287*q + 117*q + 128*q)*(1 + 1 - 1)*(6*q**4 - 6*q**3 + 6*q**3).\nAnswer: -252*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dt when two letters picked without replacement from thhteeszeesdhh.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 - (7 - 11 - 7 - -6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*k**3 + 76*k**2 + 232*k - 96.\nAnswer: -4*(k - 4)*(k + 2)*(8*k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 10*j - 4 = 9*j, -4*j + 37 = 5*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -5 + 8 + 14. Let g(t) = -8*t + x*t - 7*t. Let w(b) = -12*b. What is g(w(q))?\nAnswer: -48*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 464 = 3*b + 5*x, -3*b + x = -5*b + 321. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 51*r. Suppose f = -3*f + 24. Let d(k) = 5*k**2 + 0*k**2 - f*k**2. Calculate z(d(m)).\nAnswer: -51*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 9*d - 45. Give g(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + u = 3*u + 10, 10 = -2*j - 2*u. Solve -1 = -j*y + y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 + 2 - 2 + (6 - 2 - 2)*(1515*k - 25*k**2 - 1515*k).\nAnswer: -49*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 24*d + 138 = 0. Suppose 0 = v - s - 2, 6*v - 5*v + 4*s = 12. Solve d*i - v = 4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-49)*(12\/14)\/(278\/(-973))*49?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 280*g**2 + 8954*g - 193. What is f(-29)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -663647, -663619, -663585, -663545?\n\"Answer: 3*n**2 + 19*n - 663669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.463? (a) -2 (b) 0 (c) 107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 466168873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 339311914 a multiple of 4649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -98, -393, -890, -1595, -2514?\n\"Answer: -g**3 - 95*g**2 - 3*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10713.84 + -11717.3. What is v rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) - (sqrt(304)*-1)**2) + 0 + 2)*4.\nAnswer: -1208 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -274 - -291. Suppose 65 = 30*m - g*m. Solve -2*n + m = -3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 189 + -150. List the prime factors of s.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 2.07. Let z = y - 0.07. Sort -3\/5, -0.3, z in decreasing order.\nAnswer: -0.3, -3\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((2 - -3) + -3)\/2. What is the biggest value in -0.4, 5, -1\/24, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4952, 1, -1\/3 in ascending order.\nAnswer: -4952, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3 - 3*f - 3 + 2*f. Give i(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, j: 2}. What is prob of sequence jj?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -7*v**2. Let t(i) = 7018*i. What is t(p(h))?\nAnswer: -49126*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11141*p**3 - 42*p**2 - 4*p + 3 wrt p?\nAnswer: -66846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 3 - 3)*((-4 + 3 + 3)*(-8*m + 24*m + m) + (-m + 0*m + 2*m)*(2 - 1 + 1)).\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 3*c - 5*m = 45, 0 = -c + 4*m + 24. Let z = c + -2. Suppose 4*s - 10 = -z. Solve -s*u + 5 = -3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 858064, 858063, 858062?\n\"Answer: -v + 858065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g + 28. Let n be a(15). Let t = n + 61. Solve -t = -3*c + 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -774, -776, -778, -780, -782, -784?\n\"Answer: -2*f - 772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v + 3. Let l be s(3). Let b(m) = m**3 + 7*m**2 + 5*m + 3. What is the remainder when b(l) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*q + 3*q + 2*q)*(q - 4 + 4 + (-q - q + 0*q)*(-4 + 1 + 1) - q - 2*q + q) to the form l + f*q + a*q**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**7\/840 + r**6\/90 + r**3\/2 + 4*r. Let a(o) be the second derivative of s(o). Find the third derivative of a(k) wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2592314992?\nAnswer: 2, 162019687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -6*p + p + 5*p + 3*p + 17. Let i be j(-9). Which is bigger: i or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 25394884 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7867?\nAnswer: 7867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + (-159)\/(-3) + 4\/(-2). What is the highest common factor of i and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 + 2071*b - 10330.\nAnswer: -(b - 2066)*(b - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - -9. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 l when four letters picked without replacement from {t: 8, l: 2, n: 4, w: 3}?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -142544*v**6 + 7*v**4 - 4743*v**2 + 1091*v.\nAnswer: -17105280*v**3 + 168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71631412?\nAnswer: 2, 17907853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3120 and 23176800.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39258, -39581, -40118, -40869?\nAnswer: -41834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225215838 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -63, -2465?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 93. Suppose 5*b - 257 = -d. What are the prime factors of b?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 1:30 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16667.\nAnswer: 7, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s + 6*s - 4*s)*(-1 - 1 + 4) + 13*s - 12*s - 92*s in the form g + c*s and give c.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/10)\/((((-342)\/(-57))\/(-36))\/((-2)\/6)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d + 19*d + 54 + 243 = 0 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 504 and 693.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 406\nAnswer: -406.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(117) - sqrt(13))**2 + -4.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 13 - -3 - -11?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*h = -307, 4*r + 2*h - 1266 = -h. Let s = r + -155. Let i = s - 77. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 853*p = 847*p + 18 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (-29 + 40) - 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*v = 0, -2*v - 15 = v. Suppose 4*b - 206 = 4*p - 34, w*p + 15 = 0. Calculate the remainder when b is divided by -2*(-2)\/8*20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11340 and 8697402?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 1:09 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-4))\/(4\/56). Suppose -x + d = -2*g, -g + 11 = 3*x + 3*g. Let o(m) = 9*m + 9. List the prime factors of o(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 + -419\/6. What is the closest to 0 in 4, n, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -97, -1132, -3951, -9448, -18517?\n\"Answer: -149*k**3 + 2*k**2 + 2*k + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z - 5. Let j be 16\/(-72) + (-292)\/(-18). Let v(r) = r - 19 + 34 - j. Calculate o(n) - 6*v(n).\nAnswer: -3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/(-7) + 2\/7. Let i = 0 - d. Let m = -4.45 - -2.45. What is the nearest to 0.1 in -4, m, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncncrcoccnccp. Give prob of sequence rp.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p = -13*p. Let i(l) = 1 + p - 5*l - 15*l. What is the tens digit of i(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 998351353?\nAnswer: 37, 41, 211, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -304*z**5 + 8*z**4 - 141*z - 37 wrt z?\nAnswer: -6080*z**3 + 96*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 2. Does 16 divide 3\/x*(-128)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 318*x + 140*x + 142*x.\nAnswer: -36*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32908251 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0208857041 to five dps.\nAnswer: 0.02089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13617?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17613452 divided by 2.\nAnswer: -8806726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**2 + 129*g - 255. Let h be t(38). Calculate the greatest common factor of h and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17887 is divided by 414.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-14)*o*o\/(o**(1\/29)*o)*o*o assuming o is positive.\nAnswer: o**(-291\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 576 and 18?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3066\/(-6132)*-26*1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 - -0.2. Let g = -1\/13 + 15\/26. Let x = 0.0348 - -0.4652. Which is the nearest to g? (a) x (b) s (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.729 and -0.03.\nAnswer: -0.02187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.009 (b) -1\/3 (c) 2 (d) -1 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21*(-33)\/27)\/(119\/(-102))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*x + 11*x = 4352. What is the greatest common divisor of 3008 and x?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x**2 - x + 1. Let z be y(1). Suppose -2*a - a + 4*w - z = 0, 4*w = -a + 25. Suppose f - 6*f = 2*k - 127, f + a*k = 30. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74919, -74915, -74909, -74901, -74891, -74879?\nAnswer: -74865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/7)\/y*y**(4\/3)*y*y assuming y is positive.\nAnswer: y**(43\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**4 + 2*n**3 + 2*n**2 - 2*n + 1. Let g(j) = -16*j**4 + 11*j**3 + 10*j**2 - 11*j + 6. Let b(o) = -2*g(o) + 11*w(o). Let b(a) = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -7*w**2 - 21*w - 18. Let r(j) = 9*j**2. What is a(r(b))?\nAnswer: -567*b**4 - 189*b**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x = -52*x - 335. Let z(p) = -p - 1. What is z(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q**2 + 6*q**2 - 3*q**2)*(0 - 2 + 4)*(19 - 41 - 7 - 1 + 8 - 3 + (2 + 1 - 5)*(-1 - 3 + 3)) to l*q + i*q**2 + s and give i.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**5\/3 + 4*q**4 + 10*q**3\/3.\nAnswer: 2*q**3*(q + 1)*(q + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 1 - (-1 - 1). Let h be (-4 - l)*1\/(-2). Suppose -h*z = 0, 3*k - 2*z - z - 42 = 0. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmg when three letters picked without replacement from mxxxgxmxxx?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4837 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 + -11311?\nAnswer: -11331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -124.4303 rounded to the nearest integer?\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 51849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -196202270.89336?\nAnswer: -196202270.49336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-6\/7)*q**7*q)**(-34))**49 assuming q is positive.\nAnswer: q**(-13566)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*-4)\/(3\/5*(-123)\/(34317\/2170)).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -259, -268, -285, -310, -343?\n\"Answer: -4*x**2 + 3*x - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 2. Suppose -2*x + 111 - v = 0. Suppose j = -h + 9 + 17, -h = -3*j - x. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/89591324 and -19\/8.\nAnswer: 179182648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uijxuzzfj. Give prob of sequence ji.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62337940 - 4*m + 62337940.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + -13 + 2 + 33\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -73*s - 157. Let d(o) = -72*o - 154. Let h(i) = -5*d(i) + 6*j(i). Does 55 divide h(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - u = 2*u + 127, -4*w + 107 = 3*u. Let n be 24\/(-156) + 56\/w. Suppose i = -n*i + 3. Calculate the least common multiple of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -88132319 or -176264635\/2?\nAnswer: -176264635\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -372 + 531. Suppose 3*p + 256 = 5*c, 5*c - 5*p - t = 91. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 9 - 4 - -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 divided by 1139?\nAnswer: -53\/1139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2232307 is divided by 310?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 - 90*b - 583. Calculate the remainder when 925 is divided by h(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 174 + -52. Suppose 0 = 4*n - z - 10. Suppose 5*s - n - 77 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.1, -0.2573, 149 in descending order.\nAnswer: 149, 2, 0.1, -0.2573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*f - 5686 - 3898 = 0, -3*p + 9591 = -3*f. Let x = p - 1919. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**4\/3 - 41*k. Let m(q) = -4*q. Determine s(m(f)).\nAnswer: 64*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 328 + -232. Calculate the greatest common divisor of y and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 7546188?\nAnswer: 37730940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27707 is divided by 252.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 1090701.\nAnswer: 1090703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.00104 in 5, -1\/55, 4?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04148 + 0.06629. What is s rounded to three decimal places?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120 + 133 + 3*r**2 + 149 + 71 - 4*r**2.\nAnswer: -r**2 + 233","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b + 18. Let r be i(-12). Let k be (r - -329 - 2)*1\/3. Suppose v - 84 = k. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*c = -9, 0*k + 5*k = -4*c - 12. Suppose -3*i - 5*u + 3 = i, -4*u - 4 = k. Suppose 3*z - 33 = -w, -6 = i*z - 4. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 3, 2*a - 60 = -2*u + 4*a. Let j = 27 - u. Put 15, 2, j in increasing order.\nAnswer: j, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55480 - 147372 = 4505*l - 604*l for l.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((1*1*sqrt(70) - 1*(sqrt(70) + (sqrt(70) - (sqrt(70) - sqrt(70)*2))))\/(1*1*sqrt(360)))**2.\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 995 and 100.\nAnswer: 19900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbxg when four letters picked without replacement from {g: 1, x: 4, c: 5, b: 3}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1266 * 1.2194\nAnswer: 1543.7604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 42 * 12\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 2*t**2 - 5. Suppose 0 = -3*c - 26 + 32. What is the least common multiple of w(5) and c?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19600054 a multiple of 3605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**2 + 55*r + 114. Let a(x) = 2*x**2 + 55*x + 111. Let f(n) = -2*a(n) + 3*z(n). Factor f(m).\nAnswer: 5*(m + 3)*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -509438*b**3 - 5910776*b**2.\nAnswer: -3056628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 8. Let x be ((-3)\/u)\/(3\/(-75)). Suppose 2*l + x*a - 3 = 0, -a - 7 = -l - 2. Calculate the lowest common multiple of 9 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - u + (-7 + 4 + 0)*(u + 2*u - 4*u) - 2*u + 3*u + 7 - 6 to d + t*u and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 152*d**2 - 11963*d - 3559. Give c(79).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 858 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/1)\/(4\/(-6)). Let f(d) = 4 + 10*d**2 + 0*d**2 + d**x + 0*d**3. Let k be f(-10). Solve o = -k*o - 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17086 plus -1?\nAnswer: 17085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*v + 33*v. Is (v + -1553)\/(1\/(-1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.68094 rounded to zero dps?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2705861 is divided by 901953?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5662*o + 181189. Calculate g(-32).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -95*l + 3704. Let z be t(39). Which is smaller: 2\/6181 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*-0.0257\nAnswer: 0.000514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 + 11*a + 32. Let p be r(-11). Let q = 84 - -61. Let t = p + q. Calculate the remainder when t is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 611812777 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h**(-2\/5)*h)\/h)**26\/(h**(-1\/2)\/(h**(-1)\/h)) assuming h is positive.\nAnswer: h**(141\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g**3 + g**2 + g - 1. Let r be d(1). Let j be (8\/42*3)\/(-2). Which is the second biggest value? (a) j (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/7)\/(w\/w**5))\/(w**(3\/8)*w*w**7) assuming w is positive.\nAnswer: w**(-213\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 126172 + -156?\nAnswer: 126014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -21252120 (base 6) to base 8\nAnswer: -2314460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5552, -5569, -5566, -5537, -5476, -5377?\n\"Answer: x**3 + 4*x**2 - 36*x - 5521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4)**(-17\/5) assuming p is positive.\nAnswer: p**(-68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 5666700 to the nearest one hundred thousand.\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5317 less than 22?\nAnswer: 24.5317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00539811 to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - 187\/(-9) - (-6)\/27. Let y be 19 - (-4 - -2 - -2). Calculate the greatest common factor of y and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5\/3 - 13*b**4 + 187*b**3 - 3509*b**2\/3 + 2662*b.\nAnswer: b*(b - 11)**3*(b - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42855127243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2270528, 2270638, 2270748, 2270858, 2270968, 2271078?\n\"Answer: 110*r + 2270418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 - 2691*u**2 - 2*u**3 + 153*u**2 - 3 - u**3.\nAnswer: u**3 - 2538*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.034416766421 + 0.2.\nAnswer: 0.234416766421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10177*v + 2365 = -5049*v - 5073*v for v.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 98952359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.45, 1148, 12?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*u**2 - 54*u**2 + 27*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.25? (a) -2\/11 (b) 0 (c) 3277\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1715))\/(sqrt(20)*4) - (((sqrt(168) + (sqrt(168) - (sqrt(168) + -1*sqrt(168) + sqrt(168))))\/sqrt(3))\/(sqrt(16)\/sqrt(2)*-5 + sqrt(8)))**2.\nAnswer: -7\/16 + 7*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*r - 17. Let t be 0 + -7 - (r - 8). What are the prime factors of t\/(-6) - (-100)\/3?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -14. Let r(f) = -39*f + 1 + 38*f + 12. Give r(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 3*r**2 + 2*r**2)*(r**2 + 4*r - 4*r) - 38240 + 19116 + 19124 + 1833*r**4.\nAnswer: 1835*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -436540 by 21827.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**4 + 0*v**4 + 2*v**4)*(4 + 2 - 2 + (3 + 2 - 3)*(-1 + 5 - 3)).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a = -0*a + 848. Let y be 158\/(-4) - 2\/(-4). Let j = y + a. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, y: 5, f: 2, v: 2, d: 8}. Give prob of sequence dfy.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 81.84 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7317 - 6?\nAnswer: 7311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**3\/3 - 107*c**2\/3 + 592*c\/3 - 220\/3 = 0 for c.\nAnswer: 2\/5, 10, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 184 + 51. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.5, -34, -2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 298, 308, 330, 370, 434, 528, 658?\nAnswer: 830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*n**3 - 51*n**2 - 176851*n wrt n?\nAnswer: 246*n - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-6) + 6\/9. Suppose -2*m + 3*m - 70 = w. Calculate the greatest common divisor of 28 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 3. Let g(d) = 0*d**2 + j*d**2 - d**2. Let u(p) = -p**2 + p. Let h(y) = 4*y**2 - 5*y. Let l(a) = 2*h(a) + 10*u(a). What is l(g(v))?\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r - 68. Let a(g) = -61. Calculate -4*a(h) + 3*u(h).\nAnswer: 3*h + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 2. Let k be r(-2). Let m be (-1 + k\/(-3))*-2. Suppose -m*u = -f - 46, 5*u - 14 = -3*f + 123. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 252000 and 4536?\nAnswer: 2268000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 2*v + 6 = 0, -5*v = -2*g + 5*g - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9439.357nm?\nAnswer: 0.009439357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 24*o - 106. Let c be s(-6). Let b(w) = -22*w + 306. Let g be b(14). What is the nearest to g in c, 0.1, 1.6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16439786 minus 1.499?\nAnswer: -16439787.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 + 0 - (97 + -54)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2700\/35)\/27)\/(3550\/(-1988))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 341ba (base 15) to base 12\nAnswer: 7bb27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 265639274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 86 - 17 + 2*x**2 + 169 - 3*x**2 + 3*x**2 to the form y*x + z*x**2 + c and give c.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)*z)**(-44)*z*z**(-1\/5)*z**0*z*((z*z\/z**(1\/5)*z)**(-24))**(2\/67) assuming z is positive.\nAnswer: z**(14671\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/6*(-13)\/104)\/(4\/6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 2 (b) -0.4 (c) -15\/2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 10*o + 12. Let q(h) = 5*h**2 + 15*h - 49 + 4*h + 10*h + 12*h. Let w(p) = -9*m(p) - 2*q(p). What are the prime factors of w(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**4 - 9*a**4 + 0*a**4 + 53*a**4 + 31*a**3 - 31*a**3 + a**4 + 0*a**4 + a**4 + (3*a**4 + 0*a**4 - a**4)*(3 + 1 - 3).\nAnswer: 49*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - w - 2. Let a be y(2). Suppose a*d = 6*d - 12. Solve 0 = -u + d - 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + sqrt(125) + 4 - sqrt(125)) + 4*((sqrt(500)*-4 - sqrt(500)) + -4)**2.\nAnswer: 1600*sqrt(5) + 50039","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 29*b**2 - 31*b + 30. Let d be j(30). Solve -65*m + 77*m = d for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-12)*3*(-5)\/50?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h. Let l(x) = x**2 + 18*x + 5. What is z(l(d))?\nAnswer: 4*d**2 + 72*d + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 5623712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/(a\/((a**(-2\/5)\/a)\/a))*a*a*a*a*a*a*a\/a**(1\/10)*(a\/(a\/(((a**(-4)\/a*a)\/a)\/a*a)))**3 assuming a is positive.\nAnswer: a**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (269 + 639*s - 326*s - 317*s)*(-3*s**3 + 18*s - s**2 - 18*s) to m*s**2 + n*s**3 + l + i*s**4 + c*s and give m.\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 11*p**2 - 1800*p + 1148. Give b(163).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-145)\/15 + 12 - (-2)\/3. Solve 0 = -p*c - 52 + 43 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24659*b = 24966*b + 12280 for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7380449 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 108 - 99. Let o = -11 + y. Let z be (-20)\/(-3) - o\/(-3). What is the greatest common factor of 15 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-32) + (7953\/(-363) + 23 - 151\/88)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 16) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 59505919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6138 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -39 + 10 + 0 - -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36357.\nAnswer: 3, 12119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 44?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 15*z - 12*z = 2, -6*c + 2*z - 12 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 853546?\nAnswer: 2, 426773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -697*t**7\/42 + 1669*t**3\/3 + t**2 + 522*t. Find the second derivative of n(b) wrt b.\nAnswer: -13940*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuixleuuuxcxuec. What is prob of sequence eu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1657 - 1645. What is the greatest common factor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, a: 2, s: 2, g: 1}. Give prob of sequence gsaa.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4911 = -114*d + 332*d + 14939 for d.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, 98, 252, 368, 434?\nAnswer: 438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - c + 3124 = 0, 3*c - 1603 = -v + 1517. Let i = v + 937. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 + 1 - 1 + t**3 - 3 - 1 - 4*t. Determine k(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -292\/7 + 42. Let i = -1.6 - 12.4. Let p = i - -14.2. Which is the third biggest value? (a) 4 (b) p (c) 2 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*-4 + -5 - sqrt(1100)*-2.\nAnswer: -5 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 7061.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - z - z = -300, 0 = -2*k - 3*z + 205. Calculate the greatest common divisor of 14 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*l - u - 2, 2*l = 3*u - 4. Suppose 0 = -5*z + 34 + 11. Calculate the lowest common multiple of z and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t + 4*t + 5 = -5*l, 1 = 5*t - l for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -477 = -0*m - 9*m. Let n = 61 - m. Calculate the greatest common divisor of 152 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-14)*r**(4\/5)*((r**1\/r)\/r)**(1\/3))**(-45) assuming r is positive.\nAnswer: r**(-696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -24 + (-5 - 6) + 59 + 26?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.89 times -0.9?\nAnswer: -38.601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231638.\nAnswer: 2, 11, 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1855\/7452 - 2\/1863. What is the nearest to 0 in a, -3, -4, 9.8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -7.3. Let g = 25 - 0. Let d = g + -27. Which is the second smallest value? (a) d (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uesoosusuuusuouuus. What is prob of sequence eu?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x**(-1\/3)\/x)))\/x**(-4\/3)*(x**(1\/9)*x)\/(x*x**1) assuming x is positive.\nAnswer: x**(-8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**4\/5 + 14181*a**3\/5 + 1677642*a**2\/5 + 60000928*a\/5 + 114070944 = 0.\nAnswer: -14062, -52, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 173300 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3041415990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 668201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 13*h - 124. Let o be p(35). Let l = o - 311. Is 20 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -3*a + 5*g, -4*g = 5*a - 5*g + 28. Let f = a - -13. Let n be (-31)\/(-4) + 9\/36. Is n > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 27474 = -2*b, 5*b - 21*i = -17*i + 68690. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1395 + -1404. Let n = 0.8 - 1.3. Sort n, u, -2, 2\/17 in ascending order.\nAnswer: u, -2, n, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b. Let t(d) be the first derivative of -11*d**2\/2 + d + 13. What is 5*f(j) + 2*t(j)?\nAnswer: 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.622556 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4 - 2*w**2 - 11 + 3*w**2 - 4*w. Let a be v(6). Suppose -2*y - 2*y = 0. Solve -x + 1 - a = y for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -600 (base 14) to base 9\nAnswer: -1546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (5 + -9) - 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v + 7. Let j(m) = 3*m + 8. Calculate -2*c(r) + 3*j(r).\nAnswer: r + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 777*i - 2396*i**2 + 776*i.\nAnswer: -2396*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -102*x + 24697. Give w(242).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116c7 (base 13) to base 2.\nAnswer: -111110010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (22 + (-6 - 1))*5\/(-2) and 3\/6 + (-68)\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*f + 124. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 - i + i)*(-4*i - i + 3*i)*(12*i + 16*i - 8*i) - 3*i - 3*i**5 + 3*i + 3 - 2*i**5 - 3 + (-i**2 + i**2 + i**2)*(i**3 + 4*i**3 - 4*i**3).\nAnswer: -84*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 1 + 1 = 0. Let v(z) = -z + 0*z - 2 + n. Let r(x) = -4*x. What is r(v(k))?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22734 and 162.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2745?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 12. Let n be g(0). Suppose -f + z - 4*z - n = 0, 3*f + 26 = -4*z. Let x = f + 6. Is -10 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**5\/5 + 4*i**4\/5 + 8*i**3\/5 - 4*i**2\/5 - 6*i\/5 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**14*b)\/b*b**12)\/(b**20)**(-8))**(1\/57) assuming b is positive.\nAnswer: b**(62\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j - 7. Let r(l) = -l + 2. Let w(t) = 14*r(t) + 4*u(t). Let n(m) be the third derivative of 3*m**5\/20 + 27*m**2 + 11. Determine w(n(v)).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3855428 (base 9) to base 16.\nAnswer: 2018db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(15\/10)*-4. Suppose q*k = k. Solve -4*w - w = k for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42915*a**5 + 91821*a**2?\nAnswer: -2574900*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 27. Let s = b + 39. What is the highest common factor of 8 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -25*s**3 - 2*s**2 + 1. Let m be v(-1). Suppose 2*y = -n + 9, 0*y = 5*y + 3*n - m. What is the first derivative of -5*l**3 + y*l**3 - 5 + l**3 wrt l?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 9:05 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 a when three letters picked without replacement from bbappypyabapba.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w - 8610*w**2 - 2*w + 2 + 10175*w**2)*(21 - 21 + w) to the form o*w**3 + x + g*w**2 + z*w and give o.\nAnswer: 1565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-61 + (-3)\/1)*(-2)\/(-4). Let c be (2 - b\/(-5))\/(4\/20). Let j(u) = u + 4*u + 7*u - 1. Let l(t) = t. Calculate c*l(o) + 2*j(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 106590 and 30345.\nAnswer: 12684210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 + 4*a. Let k(q) = 5*q**2 - 12*q. What is -4*k(d) - 11*x(d)?\nAnswer: 2*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 458499 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2 + 2 + 2*o**2. Let z(u) = 39*u**2 + 33*u**2 - 69*u**2. Calculate v(z(d)).\nAnswer: 18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*b + 11 - 11)*(21 - 2 + 11) + 5*b - 3*b + b + (-3 + 4 + 0)*(b - 1 + 1) as w*b + p and give w.\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -756*h - 27226. Give n(-36).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6*w + 15*w + 2 - w**2 - 17 + 3. Let m be o(7). List the prime factors of (m - 3)*(-15 + 0).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-104)\/(-65)*(-10)\/(-4). Suppose 22 = 3*l - m*c - 13, 0 = l + 2*c + 5. Suppose 0 = 2*i + l*y - 343, 0 = 3*i - 3*y + 4*y - 534. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 11, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1852432.\nAnswer: 2, 115777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 0 + 0*a - 1\/6*a**3 + 1\/6*a**4 + a**2 + 1\/60*a**5. Suppose 2 = -2*y - 4. Calculate b(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((1 - 13)\/3)\/(-2). Suppose 3*t + 288 = 2*b, -49 = q*b - 2*t - 337. Suppose 0 = -r + 5*r - b. Calculate the greatest common divisor of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 56dd + a5?\nAnswer: 5782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1255*l**4 + 492*l**4 - 179*l**4)*(-l + 4*l - l + (-5 + 5 + l)*(2 - 1 + 0)).\nAnswer: 4704*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 69*k + 1150. Calculate w(41).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z**2 + 31*z - 52. Let q be m(20). What is the remainder when 38 is divided by q\/(-32) + (-2)\/(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425635.\nAnswer: 5, 7, 12161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2*v)*(5*v - v - 2*v) + 0 + 0 - v**2 + v**2 + 2*v**2 - 5*v**2)*((6 - 5 - 3)*(-2 + 3 - 2) + 4 - 3 - 2 + 6 - 3 - 1)*(-5 - 8 + 5).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 13, c: 3}. Give prob of sequence rc.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*n = 12, 0 = -4*i - 4*n + 6*n + 16. Suppose i*f = 2*f + 22. Solve 2*a + 5*x = -1, 4*x + f = -2*a - 3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 216*u - 5. Let b be x(2). Suppose -5*w + d + 3361 - b = 0, 3*w + d = 1762. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**5\/30 + 4*p**2. Let g(o) be the second derivative of -o**4\/12 - 2*o. Determine g(y(u)).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7\/((d\/(d\/d**(-7)*d))\/d))\/((((d*d**(-2\/3))\/d*d)\/d)\/d*d)**11 assuming d is positive.\nAnswer: d**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -172.8274 and 0.2.\nAnswer: -34.56548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -11*h - 1290. Let r(d) = 3*d + 287. Let p(v) = -2*g(v) - 9*r(v). Let z(q) = 193*q**2. Determine z(p(f)).\nAnswer: 4825*f**2 + 5790*f + 1737","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -618*i + 8. Let a(f) = 8*f + 1. Determine -10*a(n) + s(n).\nAnswer: -698*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4 = 2*f - 3*n, 0 = n - 2. Let y(i) = -i - 6. Let w(r) = -1. Suppose -6 = -2*o - 18. What is f*y(u) + o*w(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30\/7? (a) -5 (b) 0.3 (c) -1\/4 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/5))**(-7\/3)\/(a**(-1))**(-2))**(-2\/105) assuming a is positive.\nAnswer: a**(88\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2) + (-24 - (13 - 82)) + (-27 - -26)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*c - 2*c + 6*c)*(-3 + 2 - 1)*(0 - 1 + 2)*(-2 + 4 + 0) in the form u*c + q and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.04933639281 + 0.715\nAnswer: 0.76433639281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 5 (c) -4 (d) 2\/541\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -1081.846?\nAnswer: -1086.846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmm when three letters picked without replacement from {m: 7, l: 3, y: 2, p: 7}.\nAnswer: 49\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337709850.\nAnswer: 2, 3, 5, 349, 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 6*s)*((4 - 4 - s)*(4*s + s - 4*s) + 4*s**2 + 6 - 6) in the form z*s + p + d*s**3 + j*s**2 and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence addp when four letters picked without replacement from adppdppppppppp?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/200 and -31\/2475.\nAnswer: 19800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 13796*a - 137502. Give p(10).\nAnswer: 458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 321?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2090\/(-352) + 4\/(-64).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.06 + 0.03. Let q = -6.97 + o. What is the third smallest value in -1\/3, 5\/3, q?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 18*n**2 - 22*n + 15. Calculate the remainder when t(9) is divided by 138.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5827.2 - -6821. Let d = 892 - u. Let l = d + 102. Sort l, -4, -2\/7.\nAnswer: -4, -2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1058*y - 1056*y - 34 = -4*l, -3*y - 2*l = -23. Determine j, given that 0*j - 1\/2*j**y - 54 + 9\/2*j**2 = 0.\nAnswer: -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83663.46g in kilograms?\nAnswer: 83.66346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -q**6\/120 + 11*q**5\/20 - 119*q**4\/24 + 29*q**3\/2 - 80*q**2 - 4*q. Suppose d(m) = 0. Calculate m.\nAnswer: 1, 3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 5 - 4*g + 3*g + 2*g**2. Is f(5) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (13\/6)\/((-539)\/(-66) - 8). Suppose -9*q + b*q - 211600 = 0. What is q rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/2)*o**(-2))\/((o*o*o**(-9\/4))\/o**(-6\/7)))\/((o\/(o\/(o**4*o)))**21)**(30\/11) assuming o is positive.\nAnswer: o**(-89157\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -12\/11, 1\/4, 258, 0.5 in decreasing order.\nAnswer: 258, 0.5, 0.3, 1\/4, -12\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-5))\/c**0)\/(c**1\/c)**(1\/10)*c\/c**(3\/5)*(c**(-4)\/c)\/c*c**(-1\/4)\/((c\/(c\/c**(2\/11)))\/c) assuming c is positive.\nAnswer: c**(-1987\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296098*j**3 - 296095*j**3 - 6*j**2 - 6*j**2 + j**2 + 11*j**2.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1062963 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 686*f + 325257 - 325257 as w*f + c and give w.\nAnswer: 686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27037, 28082, 29127?\nAnswer: 30172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -11*j - 173 + 38, 980*m - 483*m - 493*m + 47 = -3*j for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/4, -134, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 88\/15 and 7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13312652 rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -77, -71, -43, 13, 103?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3887, -3888, -3889, -3890?\n\"Answer: -c - 3886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383237628.\nAnswer: 2, 3, 157, 203417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + sqrt(2299) + -4)*-2.\nAnswer: -22*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y. Let w(z) = -229*z + 2. What is w(j(q))?\nAnswer: 458*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 7*k - 7. Let h = -18 + 23. Let w be a(h). Solve x - 3*c + 2 = 2*c, w*x - c = -6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*w + 28, -2*w + 14 = 2*y - 7*w. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - ((-3)\/1)\/(7\/(-35)). Let t be (4\/3)\/(2\/(-21)). Let p = t - r. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1657 + 1657.3. Which is the closest to 0.1? (a) -0.18 (b) 1 (c) p (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1151404?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*k - 8. Suppose 3*m - k = t + 11, 0 = -5*t + m. Let g be t + 4 - 0\/(-2). Solve 0 = 3*o - g*d, 37 = -5*o - 5*d - 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**0*h*h)*h)**(-43)\/((h\/((((h**(-1\/6)*h)\/h)\/h)\/h))\/((h\/(h*h\/(h*h**(-8)*h)*h*h*h))\/h)) assuming h is positive.\nAnswer: h**(173\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 51188223487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 224 + 703. Let r = 73492429.00906 + -73491502. Let c = r - o. Round c to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 - m**4 + m + 3*m - 1 - 6*m + 4*m in the form l*m**3 + r*m + i*m**4 + q + p*m**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**2 - 332*a**5 - 472*a + 257*a + 214*a - 81 wrt a?\nAnswer: -6640*a**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 38, 67, 78, 65, 22, -57, -178?\n\"Answer: -f**3 - 3*f**2 + 45*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 203*l**3 - 236*l - 2. Let k(i) = -813*i**3 + 942*i + 8. Let o(a) = 2*k(a) + 9*z(a). What is the second derivative of o(c) wrt c?\nAnswer: 1206*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7732395 (base 10) to base 2\nAnswer: 11101011111110010101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.2 - 0.2. Let g = -543 + 1163.5. Let n = g + -620. Which is the closest to y? (a) -0.2 (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83492753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -739 times -0.053\nAnswer: 39.167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 13) to base 2\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -73941*0.0601\nAnswer: -4443.8541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -563063933\/1782 + 315973. Find the common denominator of 37\/1296 and m.\nAnswer: 14256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 2*v = -76. Let q = v - -16. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 q, and 1 m when three letters picked without replacement from qqqqqccmmqjmmqmrcqjn?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 4086 (b) 2\/5 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -42576968, -85153946, -127730924?\n\"Answer: -42576978*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 38 (b) -1\/7 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 781 divided by -71\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015155 rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a day in minutes?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 m, 1 b, and 1 k when four letters picked without replacement from pjpkbppjhjmhbkppbbb.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49414 and 3188.\nAnswer: 98828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 11 - 5. Let l be z\/((-9)\/(-15)) + 235. Suppose -l = 104*d - 108*d. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + (sqrt(88) - sqrt(88)*4))*-1)\/(sqrt(2592)\/sqrt(4)).\nAnswer: 2*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 5327 and 5330 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12168 is divided by 12159.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -84949 in 1.2, -3, 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-18) + -2*3 + 3140\/420. What is the smallest value in 0.3, -1\/6, -5, -0.1, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -64*c + 28. Let p(a) = 7*a - 3. Let h(m) = 28*p(m) + 3*w(m). Let d = -8 - -10. Let o(u) = -2*u**2 - d*u**2 + 6*u**2. Give o(h(q)).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 71.05022 seconds?\nAnswer: 71050.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -7. Let b be 2\/(s - -4)*-16. Is -2*((-3540)\/b)\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 48\/(-120) - (-7)\/((-70)\/(-384)). Suppose 13 - l = -5*z. Solve -h + 9 = z*b, 3*b - 4 = 5*h + 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jhppgduupjuhpppuphph. Give prob of picking 3 p and 1 u.\nAnswer: 224\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/17 - 40*u**3\/17 - 296*u**2\/17 - 960*u\/17 - 1152\/17.\nAnswer: -2*(u + 4)**2*(u + 6)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*k = 78570 + 134247. Let i = k + 12692. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 178266 and 165.\nAnswer: 891330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 18 = -3*b. Let z(o) = -o**2 - 3*o + 1. Let v be z(-6). Let q = v - -33. What is the smallest common multiple of b and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, 0.4, 6, -247, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*f**2 + 37*f**2 + 40*f**2 - 59*f**2 + 404*f - 404*f.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 39 - (52 + -9 - 23)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a (base 13) to base 12.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 152524894 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -208, -1609, -5230, -12127, -23356?\n\"Answer: -176*h**3 - 54*h**2 - 7*h + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) - (sqrt(2448) - 1*(sqrt(2448) + 2)))**2.\nAnswer: 48*sqrt(17) + 2452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/121 and -65\/33?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 7 + 7. Suppose 4*z - a = 6. Let w(h) be the third derivative of -h**6\/120 + h**5\/12 - h**4\/12 + 7*h**3\/6 - h**2. Calculate w(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -21 + 1*2\/2. What is the tens digit of 14*(b\/(-8) + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 25*d**2 - 29*d - 37. Let b be x(27). Let m = -292 + b. What are the prime factors of m?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 793504721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87524?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1642 is divided by 122?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -158*f**2 + 56*f - 3 wrt f?\nAnswer: -316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 3. Suppose x*k = -12, n + 3*k + 1 = -4. Let v be 1*(n + 0\/(-3)). Solve v*u + 9 = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 151c5bc - 3?\nAnswer: 151c5b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/12*(-4)\/(-2). Let x = -7 + 4. Let j be b\/(-1)*(x - -3). Is 0 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0376 - -318969?\nAnswer: 318968.9624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 18*u. Let c(h) = -22*h**2 - h. Give q(c(l)).\nAnswer: -396*l**2 - 18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -53863 divided by 3982\nAnswer: -53863\/3982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.08 and -1315083.80781.\nAnswer: -1315083.72781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 - 4*w**2 + 12*w + 13. What is z(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1050 and 6302310?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 6. Let h(z) = z**2 + 10*z + 2. Let y be h(-10). Let x be 1 - 0 - y*3. Give w(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -47*l**4 + 261*l**3 - 825*l**2 + 1000*l - 400. Let z(f) = -9*f**4 + 52*f**3 - 165*f**2 + 200*f - 80. Let q(k) = -2*b(k) + 11*z(k). Factor q(v).\nAnswer: -5*(v - 4)**2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -18, 16*j - 52933 = -5*y + 14*j. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7820)\/(-575))\/((16\/360)\/((-2)\/(-12)))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30.3 + -30. What is the third smallest value in g, -5, 0.06?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eue when three letters picked without replacement from {u: 3, e: 5, p: 1}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112 - 15774.\nAnswer: -15662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(20))*-1 + -1.\nAnswer: -2*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23312032013232 + -10?\nAnswer: 23312032013222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 893 - 7161\/8. Calculate the common denominator of 18\/8*155\/30 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*a - 32, -3*q + 0*a + 56 = 2*a. Suppose -5*c - 704 = -q*c. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 - 53. Solve -u = 3*w + w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30b601 + -2?\nAnswer: -30b603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346*w - 1593 = 337*w. What are the prime factors of w?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/(-6)*-1*792\/(-924).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4, -2, 4, 20, 52, 106, 188, 304?\n\"Answer: q**3 - 4*q**2 + 7*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 6*f + 39. Let p(d) = f*d + 2 - 1 + 9*d. Is 10 a factor of p(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**2\/7 + 720*o\/7 - 717\/7 = 0. Calculate o.\nAnswer: 1, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 4, -794.53, 1\/8, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73974?\nAnswer: 2, 3, 12329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -3*q + 6 - 3, 3*c + 4*q - 4 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (5 + -3)) + 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 2:56 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u**4\/3 - u**3\/3 - 2*u**2 + 4*u\/3 + 8\/3 = 0. Calculate u.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1681 = 6*n - 68743. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42648113.\nAnswer: 67, 636539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -45, 79, 757, 2265, 4879, 8875, 14529, 22117?\n\"Answer: 46*v**3 + v**2 - 201*v + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 531010963.\nAnswer: 7, 17, 4462277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -253 + 1769\/7. What is the closest to 1 in w, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-2))\/((-160)\/240))\/((-3)\/(-38))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61\/99 + -37\/9. Let b = 490\/99 + u. Factor 4\/9*z + 2\/9*z**2 + b.\nAnswer: 2*(z + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15546210 to the power of 1\/2, to the nearest integer?\nAnswer: 3943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 240\/420 - 493\/(-105) and -52\/2005.\nAnswer: 6015","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15\/11 (b) -3 (c) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.4433268 microseconds in days?\nAnswer: 0.000000000282908875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v - 38. Let j be h(11). Suppose x + 3 = 5*o + 5*x, -2*x = j. Suppose 0 = o*q - 1 - 23. Solve -m = -3*m - 2*f - q, m + 2*f + 9 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/5 + 155968*o\/5 - 3040752128\/5.\nAnswer: -2*(o - 38992)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 244\/7245 - 5\/207. Let y(l) be the third derivative of 1\/30*l**5 + 1\/12*l**4 - 1\/60*l**6 - b*l**7 + 0 + 0*l**3 + 0*l + 2*l**2. Factor y(d).\nAnswer: -2*d*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o - 5*o**2 - 5*o**2 + 75*o**2 + 12*o**2. Let b(c) = 2*c**2. What is z(b(x))?\nAnswer: 308*x**4 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/((-24)\/(-9072)*-54)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3153 + 3871. Calculate the remainder when o is divided by 198.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 202, 236, 270, 304?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27648 divided by 3456?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 e when two letters picked without replacement from {a: 1, w: 3, e: 2, z: 5, v: 1, l: 8}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-2 - 4) - 5 - -7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.3253691 milligrams?\nAnswer: 325369.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-18)\/(-15) + -1). Let o(a) = 3*a. Let u be o(-1). Put u, w, 5 in ascending order.\nAnswer: w, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 715666 is divided by 1243?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1163 + 1172. Put 4, -4, l, 5 in descending order.\nAnswer: l, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/14 + 124\/14. Let u(p) = 13220*p + 20. Let g be u(t). What is g rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -243*p**7\/70 - 383*p**5\/60 - 4*p**2 - 14*p. What is the third derivative of o(n) wrt n?\nAnswer: -17496*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + y**2 + y + 1. Let d = -1 + 6. Let o(l) = -d*l**2 - 3*l**2 + 2*l**2 - 5 - 6*l + 7*l**3. Let n(b) = 6*g(b) + o(b). Differentiate n(j) wrt j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63932.846 rounded to the nearest 100?\nAnswer: -63900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/((4\/(-103))\/1) - -3 and ((-1)\/(9\/6))\/(56\/1001*8).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 11 (b) 2 (c) 29\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, w: 2, t: 3, g: 5}. Give prob of picking 1 g, 1 t, and 2 l.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*t - 13*t + 14*t)*(-3*t - t + 2*t) - t**2 - 2*t**2 + 2*t**2 + (2*t - 5*t + 4*t)*(-1 - 2*t + 1) to b + n*t**2 + o*t and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/2)\/(3\/(-6)). Let p be (-99)\/36 - -3*k. Let u = -272.2 - -272. Is p less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 201 and 6?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from paasaapppapasfpsa.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**4 + 17*p**3 + 2 - 14*p**3 + 1 + (p - 2*p**2 - p)*(-1 + 1 + p**2).\nAnswer: p**4 + 3*p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 13 = 8. Calculate the highest common divisor of 42 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106312042 a multiple of 674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 225307351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-6))\/((-42)\/(-189))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.99 + 0.0846?\nAnswer: 46.0746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q - 15. Let g be a(-21). Let y be 4\/16 - (-27)\/4. Let h(c) = c - c + 4*c - y - 3*c. Determine h(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 738911\/66283391 + -2\/105379. Let m = a - 51005\/5032. Calculate the common denominator of m and 13\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (14 - (31 + -19)) + -1 + (3 - 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((20*v + 98*v + 19*v)*(0*v - 5*v + 2*v) + v**2 - v**2 - 3*v**2)*(v + 2 - 2)*(v - 2 + 2).\nAnswer: -414*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 12:14 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (45\/(-55))\/((-2)\/5) and -73\/84.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63.9*-32331.\nAnswer: -2065950.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 310588?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - f)*(5078*f**2 + 553*f**2 + 7 - 5 - 2) as y*f + l + n*f**2 + i*f**3 and give i.\nAnswer: -5631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.24114854 rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awra when four letters picked without replacement from {w: 1, r: 2, a: 2, y: 2, k: 3, m: 4}.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 27 + 3. What is the third derivative of 7*t**i - 4*t**6 - 35*t**2 + 6*t**6 + 11*t**6 wrt t?\nAnswer: 2400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2 = -0*m. Suppose 4*n + m*t = -2*t, -25 = -4*n + t. Suppose -n*u = -1 - 4. Sort 2, u, 10 in descending order.\nAnswer: 10, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1784 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from pxxpvxxvoxpxxxxvxxv.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qvu when three letters picked without replacement from {u: 2, q: 2, v: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1589 - -0.0589. Let m = 0 + 0. What is the fourth smallest value in -1\/2, -0.3, a, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + -2)\/(-3)*-5. Let p(j) = 4*j + 3. Let q(b) = -b - 1. Let g(z) = n*p(z) - 15*q(z). Let c(a) = 14*a. Give 6*c(r) + 17*g(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-120))\/(5 + (-138)\/24).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -143 = 27*j + 73 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 - -37.5. Let o = q + 0.4. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2*(3 + -2))\/((-4)\/8). Let n = -0.16 - -0.54. Let j = -0.28 + n. Which is the closest to 2\/5? (a) k (b) j (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 6:09 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 + -68. Calculate the lowest common multiple of 27 and y.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9069287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 + 3*d - 1. Let m be u(-5). Suppose -1 - 23 = -4*x - 4*z, m = 3*x - z. What is the least common multiple of x and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 5:22 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20c (base 13) to base 11.\nAnswer: -299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 34\/5 of a millennium?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 = 3244*j - 3207*j + 916 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*(-2 + (sqrt(57)\/(-3*sqrt(3)) + sqrt(19) + sqrt(171)\/sqrt(9)*-1 + sqrt(19))**2).\nAnswer: -1160\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -1\/9*p**6 - 1\/3*p**2 + 11 + 1\/3*p**4 - 2*p**5 + 20\/3*p**3 - 10*p. Determine a so that u(a) = 0.\nAnswer: -15, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - y - 4*y + 13, 0 = -4*m - y - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25306 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**(-2\/5))*r\/r**(2\/3))\/(r\/r**(1\/12)*r\/r**(-4\/7)) assuming r is positive.\nAnswer: r**(-1073\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41339 = -4*x - r, 10 = -56*r + 54*r. Is x a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2 - 11*o - 12*o - 12*o + 58*o + 4*o. Let g(p) = p. What is g(b(z))?\nAnswer: 27*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-14))\/(7\/(-2))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110011 (base 2) to base 8.\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2278 or 2266?\nAnswer: 2266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + o + 12 = 0. Let i(c) = -o - 3*c - c - 2*c**2 + 3*c**2. What is the units digit of i(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340 = -0*y + 4*y. Let z = y - 43. What are the prime factors of z?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/3 (b) -14.9 (c) 3 (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2176?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 71*k + 546. What is n(-8)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 - 4. Let d(k) = 3*k - 4. Let r be d(-4). Let p = -12 - r. Does 31 divide b(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 508 and 5404612?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*x**5 + 7*x**5 + 0*x**5 + (-3*x - 4*x + 5*x)*(-2 + x**4 + 2) - 6 + 4*x**5 + 6 - 6*x**5 + x**5 + 2*x**5.\nAnswer: 12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 389 divide 827346731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 4*u**2 + 2. Let h be o(-3). Let t = -4 - h. Put t, -1\/3, -0.3 in descending order.\nAnswer: t, -0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.496 - 0.896. Let i = 2 + -1.8. Which is the closest to -1? (a) -2 (b) k (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -1*(-6)\/(-2 + 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1437 in 90.47, 2\/3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4 - 18074*h**3 + 40842720*h**2 - 40824648*h.\nAnswer: 2*h*(h - 4518)**2*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 321*d**2 + 7085*d - 12787. Calculate x(-297).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjly when four letters picked without replacement from {y: 2, g: 1, p: 1, l: 2, j: 1, q: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 2)*(74*c**3 + 40 - 40) + c + c**3 - c to the form d + m*c**2 + f*c + q*c**3 and give q.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 21*s. Let y(g) = 5149506*g. What is y(f(u))?\nAnswer: 108139626*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13586.64557 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nfv when three letters picked without replacement from {o: 1, f: 3, k: 4, n: 2, v: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/13 (b) 2 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*g - 11261, 5*t = 2*g - 1141 + 5653. Let b = -632 + -718. Let h = b - g. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(3 + 2*-3*sqrt(891)*2 + 2) + -3)*2)**2.\nAnswer: -171072*sqrt(11) + 18480132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5650, 5649, 5648, 5647?\nAnswer: 5646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ssssssssspss?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/16 in -47.2, 0.2, 16, -1, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j**3 - 20*j**2 + 49*j - 376. What is p(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13720)\/(-21))\/5 - (498\/18 - 29).\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 greater than or equal to 54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8088498.\nAnswer: 2, 3, 11, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 653257.4km to centimeters.\nAnswer: 65325740000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 16925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + -8 + 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9181 - -6041. Let i = -50275\/16 - q. Calculate the common denominator of i and -63\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -187596 by -244.\nAnswer: 46899\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2319677 is divided by 176?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -61*o - 16*o - 42*o. Let m(r) = -56*r**2 - 4*r + 2. Let s(j) = -1230*j**2 - 88*j + 44. Let u(c) = 22*m(c) - s(c). Determine u(v(q)).\nAnswer: -28322*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7317*z + 411*z + 554729 - 554729 to the form y*z + q and give y.\nAnswer: -6906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 7*d + 12. Let c(n) = 6*n + 11. Let q(w) = 4*c(w) - 3*u(w). Let t be ((-6 - -3) + 0)*1. Let v(m) = -m**2 - m - 3. What is t*q(z) - 8*v(z)?\nAnswer: -z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66772, -58535, -50298, -42061, -33824, -25587?\nAnswer: -17350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2064 divided by -43?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -340015?\nAnswer: 340015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*u - 27*u = 40. Let f = u + -89. Let l = 191 + f. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -605*q**3 - 15125*q**2 - 27330*q + 37800 = 0.\nAnswer: -252\/11, -3, 10\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**4\/12 - c**3\/2 + 2*c**2 - 2*c. Let n be o(3). Solve 7 = -u + 5*r - 6*r, r + n = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1 - (4 + -3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -27. Let a(v) = -5 + u*v - v + v + 2*v. Calculate a(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1760071267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 36573, 73160, 109795, 146502, 183305?\n\"Answer: 4*t**3 + 36559*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -9.6. Suppose -8*x + 36 - 12 = 0. What is the third biggest value in x, p, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 + 1. Let o be z(-1). Differentiate -3 - 1 - 2 + u**4 + o wrt u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -78, -121, -168?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 3 - (-1350)\/10. Suppose s - 14 = 5*i. What is the highest common factor of 475 and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 162\/19*n**2 + 0 - 216\/19*n - 10\/19*n**4 - 18\/19*n**3 + 2\/19*n**5.\nAnswer: 2*n*(n - 3)**3*(n + 4)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9, 4, 41, 114, 235?\n\"Answer: 2*a**3 - a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 153*d - 5115. What is m(49)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, q: 4, u: 1}. Give prob of picking 1 u and 1 x.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-36)*(-25)\/((-1125)\/(-18))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 15 = 3*y, 13*y = 4*h + 14*y for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 15, -b - 2*b - 3*r + 36 = 0. Let f be 57\/(-21) + (-2)\/b. Let m be (f\/(9\/3))\/1. What is the biggest value in m, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/6 (b) 4 (c) 2\/16877827\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o - 32*o + o**3 + 27*o + 21. What is t(0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65806.5 less than 0.4?\nAnswer: -65806.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 864597?\nAnswer: 3, 288199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1419235?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 - 3*u**4 - u**3 + 2*u**4 - u**4 + 0*u**4 + (-u + u**3 + u)*(0*u + 0*u + u) + u**4 + u**4 - 3*u**4 + 2*u**4 - 10*u**4 - 4*u**4.\nAnswer: -14*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 8 = -3*n - 1, -2*q + 4*n = -14. Suppose 10 - 13 = -i. Solve 3*p = -0*y + 3*y - i, y + 7 = q*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00343480508 to 4 dps.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - h - 7. Let v be c(0). Let s(x) = 11*x - 1. Let l be s(v). Let g be l\/(-15) + 2\/(-10). Solve -1 + g = -4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 5*d + 2*n + 141, -2*d + 94 = -3*n. Is 47 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**6\/120 + c**5\/12 - 3*c**4\/8 - 4*c**3\/3 - c**2. What is the remainder when 116\/(104\/56 + 5\/35) is divided by m(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -17 - (-60 - -59).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o - 45. Let z(s) = -2*s**2 - s - 3. Let a be z(-3). Let h = a + 38. What is the least common multiple of n(13) and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -7*g + 16. Let c(b) = -8*b**2 - 60*b - 66. Let l be c(-6). Give u(l).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -46*j + 273. Let l(h) = 137*h - 818. Let y(v) = -8*c(v) - 3*l(v). Differentiate y(d) wrt d.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 290605636 to the nearest one million.\nAnswer: 291000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**2 - 12*g + 24. What is the tens digit of t(28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**5\/20 + d**4\/3 + d**3\/2 - 2*d**2 - 95*d + 216. Let f(t) be the first derivative of o(t). Determine f(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5936*k**3 - 2*k**2 + 7. Let l(b) = -8904*b**3 + 3*b**2 - 10. Give -10*j(v) - 7*l(v).\nAnswer: 2968*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*m - 4 + 52. Suppose 0*q = -m*q + 2*q. Solve q = -4*c - 5 - 11 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*w = 8*w + 25, -5*w = 2*o + 25. Let d be (1 + -1)\/3*1. Solve -3*n + o*n = d for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 28 = -4*n, 12 = 4*q - 2*q + 3*n. Suppose -q = 3*a, 2*f + 2*a + a = 74. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -79 - -199. Let r = c - 1084\/9. What is the second biggest value in r, -5, -0.04?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6729 - 6697. Solve 34*w - n*w = 12 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9543339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 n when two letters picked without replacement from nnfnoboiofibhff?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-106)\/1855)\/((-1)\/5). Determine v, given that -10\/7*v - d*v**3 - 8\/7*v**2 - 4\/7 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 5*n + 9 = -3*g, 3*n + 9 = -3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 515 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/3 + (-1)\/(-3). Suppose -n - j = -0. Let k = -2 - n. Which is bigger: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.194111528 + -0.1941. What is r rounded to seven decimal places?\nAnswer: 0.0000115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)\/sqrt(2) - sqrt(132)\/(sqrt(60)\/sqrt(5)))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59 + -47. Let r = j - -166. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 559.8078t?\nAnswer: 559807.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 727?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 2*m - 4 - 6 = 0, -2*u - 3*m - 15 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10020*y**3 - 5008*y**3 - 4995*y**3.\nAnswer: 17*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 70*h**2 + 16*h - 33. Is f(16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.6 = -449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2572599442 rounded to three dps?\nAnswer: 0.257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 5*m**2 - 4. Let b be x(-5). Let d(u) = -17*u - 10*u + 28*u - 2. Let q(s) = 5*s - 11. What is b*q(r) + 22*d(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 7:18 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**2 - 2*h**2 + 665 + 5*h + 624 - 1257 to the form p + v*h + g*h**2 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*p**2 - 9*p**2 + 4*p**3 - 5*p + p - p**2 + 52 = 0 for p.\nAnswer: -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from yxuuu.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (8324 - -2) + (-12)\/2 + 9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*v + 47. What is the greatest common divisor of v and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**9\/126 + 2*p**5\/15 + 5*p**2. Find the third derivative of q(v) wrt v.\nAnswer: 480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 2*u**2 + 3*u + 1. Let q be t(2). Suppose 40 = -q*j + 124. Solve 4*i + j = 0, 2*a + 3*i + 4 + 13 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20831, -20676, -20521, -20366?\n\"Answer: 155*x - 20986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/t**(-7)*t)))**(-41)*((t\/(t*t\/(t\/(t\/t**10*t*t*t))))\/t)\/t*t*t\/(t\/(t*t*t**(-1)*t)) assuming t is positive.\nAnswer: t**(-362)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 26*c - 48552. What are the prime factors of (c\/(-32))\/(2 + 50\/(-24))?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1183\/4 + 290. Let v = 169245\/16 + -10572. What is the common denominator of v and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-35) - (-2260)\/2700?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1109746892, -1109746893, -1109746894, -1109746895, -1109746896, -1109746897?\nAnswer: -1109746898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(304))*5)**2 + -1 - (6*(-5 + sqrt(304)*-1))**2.\nAnswer: -3845 - 640*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 - 2*v**3 - v**3)*(32 - 113 + 2) + (0 - 3 + 0)*(5*v**3 + 0*v**3 - 3*v**3).\nAnswer: 231*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 14*p - 2. Let s(t) = 140*t - 21. Let g(q) = 2*s(q) - 21*y(q). Suppose 0 = -z - 2*z + 57. Let u(v) = -7*v + z*v - 10*v. What is g(u(n))?\nAnswer: -28*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*r - 15*r - 3*r + 3*r as y + o*r and give o.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from daddvdotd. What is prob of picking 1 o and 2 d?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/66 and 1\/1533.\nAnswer: 33726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p + 0*p - 2*p + (2 - 2*p - 2*p + 0)*(-1 + 1 + 4).\nAnswer: -18*p + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 8.9. Suppose 3*s + 6 = -0. What is the nearest to c in 0.5, s, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022 - 12?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 284.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 337774699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*j + 9*j + 6*j)*(-6 - 5 + 5) to r + l*j and give l.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*k - 68*k - 11370 = 0. Suppose 5*v = k + 1405. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-6) - 0)*-2. Suppose 0 = t + g - 12. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -17*n - 85. Let o be y(7). Let t = 199 + o. Let p = -1550\/9 + 172. What is the closest to -1\/6 in t, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 475 + 21?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -289 - -289. Let y = -0.4 - -3.8. Let x = 3 - y. What is the nearest to 0.1 in o, 4, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000263871661 rounded to 6 decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/5 - 17*j**3\/5 - 99*j**2\/5 - 243*j\/5 - 216\/5.\nAnswer: -(j + 3)**3*(j + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2269*r + 11655*r + 197*r + 4*r - 3*r + 0*r + (2*r - 2*r - r)*(-4 + 0 + 3).\nAnswer: 14123*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298904235 a multiple of 688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -89*o**4\/12 - 2*o**3\/3 + o**2 + 7*o. Let j be d(1). Let z = j - -149. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2831649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 - -31. Let g be 4\/p - (-109)\/7. Solve -4*y = 3*n - g, 5*n = -2*y + 4 + 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 6) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21039?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 1\/(-2 - -3). What is the tens digit of (t\/(-1) - -1)*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6175 and 30?\nAnswer: -185250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*(k\/k**2)\/k*k)*k)\/k**(-2\/7))\/((k\/((k\/k**(-2\/11))\/k))\/((k*k\/(k\/k**(1\/3))*k)\/k)) assuming k is positive.\nAnswer: k**(647\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 56 = 13*a - 883. Let q(m) = 51*m**2 + m. Let f be q(-1). Suppose -r = -2*p + f, -r + 0*r + 75 = 3*p. What is the remainder when a is divided by p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7729.911cm?\nAnswer: 77299110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -319 - -318.999998862. Round p to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.16, -21, -8, -43?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1591984066 to the power of 1\/2, to the nearest integer?\nAnswer: 39900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(132)\/sqrt(3) + 6*sqrt(11)*1)**2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56991.\nAnswer: 3, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1511*q - 1515*q + 6 = 2*a, 0 = 2*q + 4*a - 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8267 + 8276. Solve 4*d + 2 + b = q, 0 = -2*q + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -13*z - 11. Let y be 1*16*(-50)\/(-25). Let m(u) = 20*u - y*u + 19*u + 6. Let v be (-9)\/(-6)*8\/3. Calculate v*i(t) + 7*m(t).\nAnswer: -3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.2209*-0.08\nAnswer: -0.017672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 538 and 16.\nAnswer: 4304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 132*b**4 - 55*b**2 - 32269 wrt b?\nAnswer: 528*b**3 - 110*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-18))\/(-13 + 7456\/576)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(68)*-1 + 1)**2.\nAnswer: -20*sqrt(17) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**3 + 109*l**2 + 994*l - 182. Determine t(-43).\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2832 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vezuu. What is prob of picking 1 v and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82 + -77. Let u be 1*(1 - 0) - -2. Suppose 2*y + v = -u*y. Sort -5, y, -2 in decreasing order.\nAnswer: y, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -168 + -2?\nAnswer: -16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26602 divided by 3?\nAnswer: 26602\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1691 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -135335103 (base 6) to base 10\nAnswer: -2781039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 71280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b - 21. Let l be k(11). Let i(t) = -t**2 + t - 1. Let q(u) = -9*u. Let o(j) = l*q(j) + 3*i(j). Find d, given that o(d) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y - 1. Suppose -8*z = o - 7*z + 1, 0 = -4*o - 5*z - 1. What is t(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2195697 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwmtmhbmmmbwmpmww. Give prob of sequence ttm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, j: 1, z: 2, u: 8, n: 3}. Give prob of sequence zjmm.\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 728193.3um in meters?\nAnswer: 0.7281933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*c**2 + 17*c**4 - 13*c**4 + 11*c**2 + 7*c**4 - c**4 - 7*c**4 + (4*c**2 - 3*c**2 - 2*c**2)*(c**2 - c**2 + c**2).\nAnswer: 2*c**4 + 28*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w - 1. Let p be r(3). Let f(k) = -2*k - 3. Let c be f(p). Suppose -c*x = -7 - 38. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 213 in descending order.\nAnswer: 213, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 4 - 38 + g)*(-4*g + 12*g - 7*g).\nAnswer: g**2 - 49*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-1\/4))**(2\/3))**(-13))**(1\/31) assuming l is positive.\nAnswer: l**(-13\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiily. What is prob of sequence lyi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g**2 - 2*g**3 - 6*g**2)*(-39 + 10 + 16)*(-7 + 26 + 2)*(1 + 1 - 1).\nAnswer: 546*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 7:23 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 13*x - 8*x, -4*x = -4*p - 32. Let q(n) = -3*n - 4*n + 22 + 6*n - 3*n. Let u(y) = 9*y - 45. Let d(i) = p*q(i) - 3*u(i). Calculate d(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a8 - 1?\nAnswer: 2a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1257 = 3*z + 1233. Let o = 359 + -207. Calculate the highest common factor of o and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -22 + -7 - 24\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -0.2 (c) 5 (d) 4\/3 (e) 4\/715 (f) -0.0022\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3140 + -120401?\nAnswer: -112211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10\/9 (b) 96 (c) 4 (d) -9\/5 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from lollloo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 4)*(-2 - 4 + 3)*(-176*a - 278*a + 195*a) in the form g*a + k and give g.\nAnswer: -1554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 3*k - 13. Let s(y) = -y**3 + y. Calculate b(t) + 3*s(t).\nAnswer: -2*t**3 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - -98.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 89362 and 14239?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -749 - -1385. Suppose 0 = 4*l + 4*c - 2464, 8*l = 9*l - 3*c - o. List the prime factors of l.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*g - 8 = 0. Let l(h) = -3*h**3 + 4*h**2 + h + 1. Let b = 35 - 30. Let p(m) = -4*m**3 + 4*m**2 + m + 1. Let j(k) = b*l(k) - 4*p(k). Determine j(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 0*l**3 + 59\/12*l**4 + 0*l**2 - 14*l + 0. Let d(j) = 2*j. Give d(g(p)).\nAnswer: 118*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i = -52 - 28. Which is the closest to i? (a) -2 (b) 0.3 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.6*5.485.\nAnswer: 96.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + (1 + -4)\/1. Suppose 5*n = -5*m, 0 + 2 = -p*m - 4*n. Find r, given that 3*r**3 + 13*r + m - 16*r - 2*r**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**3 + 372*f**2 - 748*f + 703. Calculate d(-188).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.9 + -3. Let r = -160 + 160.0984. Let f = r + v. Round f to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -5. Let x(w) = -6*w**2 - 14*w + 1. Let p(a) = -5*a**2 - 13*a. Let c(m) = 5*p(m) - 4*x(m). Is c(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/27136 and -31\/3392.\nAnswer: 27136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -136161*n**2 + 140220*n - 36100.\nAnswer: -(369*n - 190)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 2*a**2 + 2*a + 146. List the prime factors of p(0).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*l + 1 - 56. Is 6397 + 5\/5 + l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/3664 and -39\/1832.\nAnswer: 3664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 9*w - 3, 0 = -24*n + 20*n - 3*w + 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((4*(sqrt(374) + 1*sqrt(374) + sqrt(374)))\/sqrt(11))\/((sqrt(2) - ((sqrt(2) - ((sqrt(200)*-2 - sqrt(200) - sqrt(200)) + sqrt(2))) + sqrt(2)))*-1).\nAnswer: -9*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-8)\/(-96)*2\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/16)\/((-2)\/(-8)). Let h be ((-5)\/l)\/((-2)\/6). Suppose 3*d = -h*y + 28, -4*y - d + 16 = 3*d. What is the greatest common factor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93893.6 litres to millilitres.\nAnswer: 93893600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + s. Let m(h) = 2*h**2 + 2*h. Let t(o) = 3*i(o) - 2*m(o). Let n(j) = -20*j**2 - 3*j. What is -n(g) + 3*t(g)?\nAnswer: 17*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -25*r + 2. Let y be v(-1). Let n = y + -22. Suppose 0 = n*z + 18134 + 15866. Round z to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -8 + 3)*144\/(-4). What is the highest common factor of p and 450?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1869790?\nAnswer: 2, 5, 13, 19, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 357414945 and 32835.\nAnswer: 2985","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 3. Is 0 + 2 + v\/1 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 562 and 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 - -2208350091.\nAnswer: 2208350100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52805 and 49225.\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 44 = -c, -3*c + 7*c - 5*i = -121. Let z = -14 - c. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 438 + -420.3. Let n = v - 18. What is the second biggest value in 20, n, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 15 = -3*t, -2*h + 6 = -0*t + 2*t. Let y be ((-3)\/(-6))\/((-2)\/(-12)). Factor j**h + 3*j**2 + 2*j**4 + j**5 - y*j**2.\nAnswer: j**3*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2 + 5 - 49*i**2.\nAnswer: -49*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -2*i + 14*i. Let u(y) = 2*y - 9. Calculate the remainder when i is divided by u(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -124 + 891. Let a = b - 396. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + m. Let g be v(-1). Suppose g*l = 11*l - 473. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - l**4 - 2*l)*(16*l - 37 + 37).\nAnswer: -16*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*-2 + sqrt(65) - sqrt(65))\/sqrt(5) + -2.\nAnswer: -2*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 41 - 22a?\nAnswer: -1b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - (3 + -15)) + 7 + -5 + -8 + 63?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 5 (b) 2 (c) 1233 (d) 0.5 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 588763 is divided by 196084.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by -1 - (3 + -1)*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 25. Let s = 4 - y. What is the third biggest value in 1\/5, 0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(5*6\/(-396))\/(160\/(-288))\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-48) + 1617\/504\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63770 greater than -3883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*m**3 - 90*m**4 + 169*m**4 + 2*m - 80*m**4 as y*m + g + d*m**2 + q*m**4 + p*m**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -4733 (b) -2 (c) 3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4687 and 194317?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*z - 50*z + 143 = 0 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 122*w + 535*w**2 - 537*w**2 + 46*w - 2*w**4 in the form s*w + l*w**2 + f*w**3 + g*w**4 + r and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7364, -14736, -22108?\n\"Answer: -7372*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27 - -b5?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 45539*s + 546475. Calculate h(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**5 + 3*f**5 - 4*f**5 + (0 + 0 + 2*f)*(2*f**4 - 3 + 3) + (1 - 5 + 2)*(845*f**4 - 1098*f**4 + 710*f**4)*(7*f + 0*f - 3*f).\nAnswer: -3654*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 29 + -55 + 34 + -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12.44 + 12.76317932326\nAnswer: 25.20317932326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -269198*p + 5114764. What is k(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 112322824?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -13898*a**2 - 18*a. Let z(m) = -4*m. Calculate q(z(x)).\nAnswer: -222368*x**2 + 72*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1441?\nAnswer: 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9777 * 0.14.\nAnswer: 1368.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000567 rounded to 7 dps?\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6881839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 5:45 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94753?\nAnswer: 19, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 555.3 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04017 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 716.3296m in millimeters?\nAnswer: 716329.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-177 + 437 + 122)*(g + g - 3*g).\nAnswer: -382*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i + 2584 = 4*i. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3844 (base 14) to base 9\nAnswer: -14465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/f**(-4)*f*f**(-1\/5)*f\/f**(-5)*f*f**(-6)*f*f*(f**(-6)\/(f*f**(-1\/4)))**(2\/139) assuming f is positive.\nAnswer: f**(13487\/1390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -69 (b) -3\/4 (c) 50 (d) -0.5 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/9 - 28*m**2\/9 + 98*m\/9 - 8.\nAnswer: 2*(m - 9)*(m - 4)*(m - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1070747.789646 + 1070595.79. Let x = y + 152. Round x to five decimal places.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14404849 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * -233385.2\nAnswer: 2333.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3896978 is divided by 3896977.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/43, 4, 0.3, 5, -4.\nAnswer: -4, 8\/43, 0.3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*v**3 + 441*v**3 - 214*v**3.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 + 54*p - 108.\nAnswer: -2*(p - 3)**2*(p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3527186880.0001611 + -3527185023. Let k = 1857 - s. What is k rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14*425\/1904)\/(1\/(-4))*(-42)\/(-7)\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + 104 + -95.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = 5*m - 0*m + 4*v, -5*m - 72 = -v. Let k = m + 17. Solve k*l + 4 = y - 6*y, 2*y = -5*l - 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -957.69993?\nAnswer: 958.19993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-30))**16\/(f**(-4\/7)*f\/(f*f*f**(-14)*f)) assuming f is positive.\nAnswer: f**(-3440\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2712 and 15696.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 247 + -140. List the prime factors of z.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from {p: 1, h: 1, n: 2, l: 2, j: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + 84?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*b = 24. Let p(r) = r**3 + 8*r**2 - 2*r + 2. What is the lowest common multiple of (18 - 1) + -12 + (25 - 16) and p(b)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3961, 4034, 4107, 4180, 4253?\n\"Answer: 73*d + 3888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 345223 to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(32))\/(-4*sqrt(405) + sqrt(5) + sqrt(5)) - (sqrt(550) + sqrt(550)*1)\/(sqrt(11) - sqrt(396)*6).\nAnswer: 265*sqrt(2)\/952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19306 divided by 8?\nAnswer: -9653\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a gram in milligrams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-68)\/(-20))\/((-40)\/50) + 2 and -41\/184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + 2*sqrt(1700) - sqrt(204)\/(sqrt(36)\/sqrt(3))*-4) + 0)*2)**2.\nAnswer: -192*sqrt(17) + 39172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/10))**2)**5 assuming o is positive.\nAnswer: o**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/2470 and 99\/335882.\nAnswer: 21832330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, w: 6, c: 6, d: 4}. Give prob of sequence cddx.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 10, i: 9}. Give prob of sequence idid.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4100 and -0.1.\nAnswer: -4100.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.8247632ug?\nAnswer: 0.0008247632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 962377265.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - 0.2. Suppose 0 = -o - 0*o + 21. Suppose 0 = -5*m - 1 + o. Which is the third smallest value? (a) m (b) t (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 114*g - 65. Let c be l(5). Suppose 5*v = x + 950, 256 = 4*v - x - c. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 10*r**2 - 7*r + 11. Let k be l(4). Suppose 6*c - 2*c = 568. Is k >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmof when four letters picked without replacement from {o: 1, z: 1, m: 1, g: 2, u: 1, f: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -5 - ((7 - 5) + -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 1 + 5 = -3*l, 4*f - 2*l = 24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 425977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17601675 and 1676350.\nAnswer: 35203350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-37 - -34) + (4 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (0 - -4) - 0. Suppose 3*h + w - 44 = 2*w, -h - g*w - 7 = 0. Let y(c) = 5*c + 4. Let u(m) = 11*m + 9. Determine h*y(x) - 6*u(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3413056.5 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*q + 122*q - 955 = 0. Let i = 383\/2 - q. Let y = 0.29 + 0.01. Which is the fourth biggest value? (a) i (b) 5\/4 (c) -4 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/9 (b) 0.03 (c) 78.3 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 748?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4814 + 9240. Let f = s + -2223. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 285.3496339 and 1301?\nAnswer: 1015.6503661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 289609 and 1240016.\nAnswer: 4079","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85 - 52. Put -4, s, 4 in descending order.\nAnswer: s, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24b - 3?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3845760 rounded to the nearest 100000?\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0, -13, -0.3, -6\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*n**2 + 2372872*n - 949152 = 0. Calculate n.\nAnswer: -118644, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270556 is divided by 445.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13768, -15230, -16692?\nAnswer: -18154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**5\/80 - 11*h**4\/48 - h**3 + 9*h**2\/2 + 136*h + 2. Factor l(b).\nAnswer: -(b - 1)*(b + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8970716.8 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3416196 and 147.\nAnswer: 23913372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, o: 1}. Give prob of picking 2 h.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -231101004244 + 4?\nAnswer: -231101004240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o = -2*o + 3 - 75 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 - 12*k + 1. Give j(8).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -0.018056581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 7*s + 3*s = 0. Solve 0 = -2*y - s*y + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/702)\/(1\/(-4))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/9 - 62*o**2\/3 - 303721*o\/9 - 1503530\/3.\nAnswer: (o - 658)*(o + 15)*(o + 457)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4881094685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -3 (b) 154 (c) -1\/5 (d) -52.5 (e) 2\/13 (f) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-2 + 118\/56). Suppose -3*x - w = 93. What is the tens digit of (-1)\/(-4) + x\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 868676424.\nAnswer: 2, 3, 7, 11, 151, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -920*i*t**3*v**3 - 2*i*t**3*v - i*t**2*v + 2*i*t**2 - 2*t - 322*v**3 wrt t?\nAnswer: -5520*i*v**3 - 12*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38)\/(-2) + (607 - 627))*47.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 - -9 - 4)\/(1\/(-2)). Which is the second biggest value? (a) 0.2 (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h**2 - 2*h**2 + 2*h**2)*(0*h**2 + 2*h**2 - 14*h**2) to the form g*h + p + k*h**2 + b*h**4 + c*h**3 and give b.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2 - 8. Let a(m) = 10*m - 16. Let d(v) = -3*v + 5. Let p(j) = 2*a(j) + 7*d(j). Calculate p(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fxxoffxf. What is prob of sequence xxof?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 42362, 42359, 42354, 42347, 42338?\n\"Answer: -i**2 + 42363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 568437 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -6*o. Let l(i) = 341*i. Give k(l(n)).\nAnswer: -2046*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, o: 1, r: 1, c: 1, e: 6, f: 6}. What is prob of sequence fr?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-5))\/(38\/(-95)) + 13?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85487 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6392958 (base 10) to base 14.\nAnswer: -bc5b1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m**2 - m - 8. Let t(n) = n**2 - n. Calculate -q(d) + 3*t(d).\nAnswer: -3*d**2 - 2*d + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31992\/(-3225) - ((-2216)\/(-200) + -11).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((5*(sqrt(176)*3)**2 - (sqrt(176) + -5 + -3*sqrt(176))) + -5) + 2.\nAnswer: 8*sqrt(11) + 7922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -4*w**2 + 1539160*w - 148063344100 = 0.\nAnswer: 192395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-7) + (-66)\/(-70). Let h = -0.1 + 0.1. What is the second smallest value in h, l, 48?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 + -115. Let x = -41 - i. What is the lowest common multiple of x\/3*(-3)\/(-9) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*k = 43*k - 72. Let j be -2 - (-1 - -3) - k. Suppose 0 = q - j + 6. Solve q*a - f = 9, -4*a + 2 = f - 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.0713ml to litres.\nAnswer: 0.0860713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 718 and -26811700387?\nAnswer: 26811701105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124 + 123.854. Let s = l + 553.146. Let u = -552.761 + s. Round u to 2 dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = m - 14, 268*a - 273*a + 45 = 5*m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c*h**3 + 68*c*h*p + 1486282*c*p**3 - 1569*h**3*p**3 - 36*h**3*p + h*p**3 wrt c?\nAnswer: h**3 + 68*h*p + 1486282*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 - -162. What are the prime factors of n?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(132) + -5*(sqrt(132) - sqrt(132)*2) + sqrt(132))*6)\/((sqrt(72)*-2*3 + sqrt(72))\/(-1*-2*sqrt(6))).\nAnswer: -336*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/15 + -4\/15. Let i = -11 - -9.8. Let c = 0.9 + i. What is the nearest to -0.1 in t, 5, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4731 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bcbbccccboocc.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 - 188 + 2*i + 124 + i - 51.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*w + 45*w - 24*w + 3*w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 459*y + 233. Calculate p(-1).\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u**4 - 213390*u**3 + 5734*u**2 - 1?\nAnswer: -48*u - 1280340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 468885\/74 equal to 6337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 215916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c - 6. Let h(y) = -791*y + 2034. Calculate 339*f(m) + h(m).\nAnswer: -1469*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/18)\/((-2)\/9). Suppose 3 + 3 = 3*h. Solve h*f = -x*f - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 359741?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 at least as big as -6806?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(99))\/sqrt(9) - sqrt(1331)*-1 - (((sqrt(66) + sqrt(66)*1)\/sqrt(6))**2 + (1 + sqrt(704))**2)) + 0)*5.\nAnswer: -3745 - 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-48)\/42)\/8?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 312071 + -1262?\nAnswer: 310607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 3*t**2 + 7*t - 1. What is r(5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 708?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + sqrt(80)*3 + -3 + (sqrt(80)*1 - sqrt(80) - sqrt(80))*-3 + (-1 + sqrt(80))*-2)**2.\nAnswer: -64*sqrt(5) + 1279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 + 12*j + 2*j**2 + 9 - 9*j. Is w(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 2 - 4)*(19*p**2 - 3*p - 23*p**2 - 6 + 6*p**2) to f*p**2 + j*p + v and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 963 - 0.01?\nAnswer: 962.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.265732 + -0.665732. Suppose 1 = -4*k - 3*a, -6*a + 5*a = 2*k - 1. Let x = 1 + -1.05. Sort x, 1, c, k in descending order.\nAnswer: k, 1, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12101 (base 3) to base 5.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 4\/105, -2?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3 + 633126*c**2 + 1422483*c?\nAnswer: 6*c + 1266252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 + 2*m**2 - 3*m**2)*(0*m - 2*m**2 + 0*m) + m**4 + 0*m**4 - 3*m**4 + 2*m**4 - 2*m**4 - 12*m**4.\nAnswer: -18*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -78 smaller than 924?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3767921?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 - 1. Let a(s) = -2*s**3 + 5*s**2 - 2. What is 2*a(n) - 5*d(n)?\nAnswer: -4*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8029c9 (base 16) in base 13?\nAnswer: 1981105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*c - 18. Calculate the remainder when 3 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(112) + -1)*5.\nAnswer: -100*sqrt(7) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 869.1 - 867. Round d to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)\/(sqrt(50)\/sqrt(5)))\/(sqrt(108) - (sqrt(108) + sqrt(108) + sqrt(108)*-5 + sqrt(108))).\nAnswer: sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*l + 25 = -55*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11713233 to the nearest integer?\nAnswer: 3422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**5\/50 + 31*n**4\/30 - 82*n**3\/3 + 4488*n. Factor f(z).\nAnswer: 2*z*(z - 10)*(z + 41)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22427 at most 22427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87 + -98 + 23 + 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3872994*t + 3873837*t + 3 - 5 to the form w + b*t and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 2. Let b be 0 + 2 - t - -2. Suppose u - 247 = b*g + 1497, 2*g + u + 1156 = 0. What is g rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -924 = 13*b - 2874. Is b a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = 365*s - 356*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -551 - -823. Is 17 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 4, -0.2, -1, 1644958\/3, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -214\/3 - -71. Put x, -5, 2\/7, -1 in descending order.\nAnswer: 2\/7, x, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 468*t - 2786. Let b be r(6). Solve 5*p + k - 5*k = -b, 3*p - 5*k = -21 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -106 - 1100*y + 139*y**3 + 313*y**3 - 280*y**2 - 144 + 8*y**5 - 110*y**4.\nAnswer: 2*(y - 5)**3*(y + 1)*(4*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 403896 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 25, 4*r = 4*l + l + 10. Is 11935\/22 + (-3)\/l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 3*g + 0*g)*(-6*g + g + 2*g).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*a - 2 = 0, -6 + 3 = 3*a. Solve v = -10*w + 11*w + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -3a?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 291251886?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -17*t**2 - 5*t. Let m(s) = -930534*s. What is m(c(x))?\nAnswer: 15819078*x**2 + 4652670*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -22\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -3\/7, 0.5, 0.06, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1937 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -488493, -488460, -488423, -488382, -488337?\nAnswer: -488288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1514978.\nAnswer: 2, 401, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 8\/(-4) - (2 - 3). Let d = -1 - -1. Suppose -3*m + 23 = 5*a, 5*a + 4*m - 12 = a. Solve 2*k - 3*k + 2*o + a = d, x = -o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6848104 is divided by 308?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 33*z**2 - 38*z + 88. What is j(-34)?\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-4))\/((-12)\/24).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s - 7*s - s in the form l*s + x and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 175877237*a**6 - 12910*a**2 + 95.\nAnswer: 21105268440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 20*b**3 - 2*b**2 - b. Let t be m(2). Suppose 5*o = -0*o + t. Calculate the highest common divisor of 210 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*q**2*u*y**2 + 44*q**2*u*y - 21*q**2*u + 2*q*u - 111*q*y**2 + 191 wrt q?\nAnswer: 24*u*y**2 + 88*u*y - 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(19\/3))**13*(y**(1\/11)*y)**(-31) assuming y is positive.\nAnswer: y**(2030\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 22*c + 5 + 21*c - 1.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/542*((-3)\/(-9))\/(7\/(-840)*-20).\nAnswer: -2\/271","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 560, -7 in ascending order.\nAnswer: -7, 5, 560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -25, 88, -4 in ascending order.\nAnswer: -25, -5, -4, 1, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -41\/4384421 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.40857 rounded to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 154, 0, -40, 4, -2 in descending order.\nAnswer: 154, 4, 3, 0, -2, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 241662 and 40277.\nAnswer: 241662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(1848\/(-108))*4\/(-96)*-14\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 19 (b) 1\/2 (c) -0.01 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x. Let w = -79 + 117. Suppose -25 = -4*b + 3*c + w, 5*b - 2*c = 77. Let v(i) = 8*i**2 - 14*i**2 - b*i + 15*i. Calculate v(z(q)).\nAnswer: -54*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64 + 21 + 120*p - 47 + 1 wrt p.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 6:34 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**4\/6 + 26*p**3\/3 + 169*p**2 + 4394*p\/3 - 54. Let c(z) = 0. What is z?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -199 + 330. Let w = -131.000059 + n. Round w to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i. Let m(d) = 180*d. Let p(t) = 167*t. Let k(u) = 7*m(u) - 8*p(u). Calculate k(n(q)).\nAnswer: -304*q","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 + 2*n**2 - n**2 + (-2*n + 5*n - 4*n)*(-n + 3 - 3) - 3*n**2 - 3*n**2 + 4*n**2 - 5*n**2 - 5*n**2 - 3 - 2*n + 3*n**2.\nAnswer: -6*n**2 - 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5558229 is divided by 2779113.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + k - 3*k)*(4*k + k - 4*k) + 9*k**2 - 25*k + 26*k + 7*k**2.\nAnswer: 14*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 72*s - 198, -25 = -5*c - 4*s + 3*s - 52 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 0 + 1\/24*o**4 - 1\/12*o**5 - 1\/120*o**6 + 0*o - 7\/6*o**3 + 2*o**2. Calculate the remainder when 67 is divided by t(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 minus -2582825309?\nAnswer: 2582825332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(200) - (sqrt(200) + 2 + sqrt(200)))**2 + ((sqrt(2) + sqrt(2) + -1)*5 - 3*(sqrt(2) + 1)).\nAnswer: -212 - 33*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b5 (base 12) to base 15.\nAnswer: -27e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/595 and -49\/102.\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 + -39. Let j(h) be the third derivative of -1\/24*h**4 + c - 1\/30*h**5 + 0*h**3 + 0*h - 1\/120*h**6 + h**2. Factor j(v).\nAnswer: -v*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 0*o = 299955. Let g be (-90)\/(o\/30000 - 2). Round g to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*f + 12 = 0. Suppose f*o = 3*d + 1, 2*d - 5*d = 3*o - 27. Suppose -o*t = -11 - 705. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -457*s - 53 = -459*s + 5*j, -3*s + 239 = -22*j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**2\/2 + d - 11. Let g(o) = -6*o**2 - 5*o + 4. Let u(q) = -g(q) - 5*r(q). Differentiate u(p) wrt p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 7*x + 1. Let b be h(-6). What is the remainder when 9 is divided by 10*(0 + (-2)\/b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 4cb?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -302, -260, -154, 46, 370, 848, 1510, 2386?\nAnswer: 3506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101000010 (base 2) in base 12?\nAnswer: 22a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2 - (45668\/(-10))\/98) + 1\/(-10)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*l + 4*v = -64*l + 47, -54 = -3*v for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168, -821, -1954, -3579, -5708, -8353, -11526?\nAnswer: -15239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/10 - (-14)\/560*8.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2305*g**2 - 403*g + 65. Is n(16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2. Let k(i) = -64442*i. Give m(k(g)).\nAnswer: -8305542728*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48589764.\nAnswer: 2, 3, 19, 53, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(567) + sqrt(567) + 4)**2*-6*-5 + -4.\nAnswer: 2160*sqrt(7) + 68156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -37. What is the first derivative of 1 + 19*c**3 + 4*c**3 - k*c**3 wrt c?\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 18*r**2 - 9*r + 195. Let z be p(-19). Solve 5*i + 0*i = 5*s + 20, 5*s = -z*i + 30 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (440\/605)\/((-15)\/(1980\/24)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**12\/(q\/((q\/q**(1\/12))\/q)*q))**(-4\/7)*(q**(-2)*q\/(q\/(q\/(q\/(q**(2\/17)*q)))))**(-1\/14) assuming q is positive.\nAnswer: q**(-4001\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2394548, -4 in decreasing order.\nAnswer: 2394548, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004123 rounded to five dps?\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.4, -3, 4\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*l + 26 + 66*l - 20*l - 35*l.\nAnswer: -79*l + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14475633*x**4 - 6473932 wrt x.\nAnswer: -57902532*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1268 divide 5460447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5899 - -1857. Suppose -5*j + 3789 = -v. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26995.755 to the nearest 100.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-40)\/30)\/((-7)\/((-28650615)\/(-20))) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 - r**2 + 5*r**2 + (516*r - 1033*r + 3*r**2 + 518*r - 51)*(1 + 1 + 0).\nAnswer: 10*r**2 + 2*r - 102","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**3*r**2 - h**3 - 439*h**2*r + 7827198*h*r**5 - 901*r wrt r.\nAnswer: -6*h**3 + 156543960*h*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**2)**(13\/5))**(23\/4)*((i\/(i**(1\/7)*i*i*i)*i)**(12\/5))**(-15) assuming i is positive.\nAnswer: i**(12039\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3\/7 + 19920*o**2\/7 - 24559632*o\/7 - 600960384\/7.\nAnswer: -4*(o - 2502)**2*(o + 24)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5405 + 5423. Solve -n*l + 91 = -5*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386757 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k**2 - 2*k + 1. Let g(s) = -s**3 - s + 4. Let n be g(0). Suppose -n*d + d = 6. Calculate q(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 3*y = 3*l - 14, y = -5*l + 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1779537, 1779535, 1779533, 1779531, 1779529?\n\"Answer: -2*o + 1779539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 7:27 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-5)\/(-30)*-3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6596927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/152)\/((-37)\/(-13357)).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 11*v**2 - 9*v - 4. Let z be (-3)\/2*(2 + (34 - 2)). Let o = z - -73. What is the remainder when o is divided by a(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 1 + 6 - 9*k**2.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53893\/59870 - 1\/5987. What is the nearest to -0.2 in m, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -18, -21, -24?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -9 + 13 + y + 0*y. Let a(g) = 1. Calculate 2*a(o) - n(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113 + 10013221?\nAnswer: 10013102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 22. Suppose 2*y - n = y. What is the remainder when 16 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.881226 milliseconds to days.\nAnswer: 0.000000322699375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11643 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 4)\/(-12) + (-1273)\/228 + 6.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t**2*v**5 - t**2*v**2 + 2*t**2*v - 576*t**2 + 644*v**5 wrt v.\nAnswer: 60*t**2*v**2 + 38640*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45\/7, 1, -1, -5, -8.401, 0.\nAnswer: -8.401, -5, -1, 0, 1, 45\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1094, -760, -100, 1048, 2846, 5456, 9040, 13760?\nAnswer: 19778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a millennium in months?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 - 20240*a**2.\nAnswer: a**2*(a - 20240)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 times 3?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*c**4 - 76707*c**3 + c**2 + 17494*c - 148 wrt c.\nAnswer: -576*c - 460242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008178 rounded to seven decimal places?\nAnswer: -0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 3*k - 3*b + 15, 20 = -4*k + 4*b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 334221440312?\nAnswer: -334221440303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 92 and 36?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 0*v**2 + 0 + 2\/3*v**4 + 1\/3*v**3 + 2*v. What is the second derivative of y(x) wrt x?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g. Let t(w) = 20 + 5*w + 29 - 67. Let s(m) = m - 4. Let o(l) = 9*s(l) - 2*t(l). Calculate r(o(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 91.\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 2, w: 1, z: 1}. What is prob of picking 1 w and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*1*-4 - sqrt(76)\/(sqrt(4)*1).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1743\/2503 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16154124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 572 + -386. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 12. Suppose 9 = -3*p, 0*p = -i*j + p + 18. Which is the third biggest value? (a) j (b) 0.4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, y: 1, p: 2, i: 1, s: 6, k: 4}. Give prob of picking 2 k.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2868 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/110 and 295\/20*-2*20\/(-6050).\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 - -34.5. Let s = p + 0.5. Which is the closest to 0.1? (a) s (b) 5 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/6*2*(9 - 7). Suppose -4*g - y*l = -0*l - 38, 4*g = 3*l + 63. Solve -5*t = 5*b + 18 + g, 3*t + 4*b + 23 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11*-3\nAnswer: -0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 1. Let u(s) be the first derivative of s**2 - 3*s + 124. Let a(h) = -5*r(h) + 2*u(h). Calculate a(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3984244883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1082651303?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, s: 1, g: 14}. Give prob of picking 4 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4922759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 - -9) + 4\/2. Suppose -a = -n, 3*a = i*n + n. Is a at most as big as 1\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one quarters of a week?\nAnswer: 882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2470195 is divided by 314?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/((-105)\/18)*115. Suppose 4*s = -2*i + x, 5*s = 5*i - 3*i + 186. Is 20 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12830538 times -4?\nAnswer: -51322152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -8\/32032273?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -25384 divided by -668\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -392 (b) -1\/5 (c) 14\/5 (d) 0.023\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2*5\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122110000102 - -202?\nAnswer: 122110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 79*b + 118*b**2 + 2 + 94*b - 9*b**3 - 177*b.\nAnswer: -9*b**3 + 118*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 19*z = -2860. What is the common denominator of 1*-2 + z\/32 and 61\/38?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xl when two letters picked without replacement from {l: 1, x: 1, p: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.162 - -0.212. Let j = -0.05 + g. Let b = -0.3 - -0.4. Is b greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 1*-6) + -2. Suppose q*k = 5*k - 12. Find the first derivative of 2*p**k + 0*p**4 - p**4 - 1 wrt p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 604025793?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**3\/3 - 2*s**2 + 3*s - 2. What is the units digit of y(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + sqrt(208) - sqrt(13))**2 - (sqrt(13) + sqrt(13)*-1 + 2)**2) + -4.\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.99 + -4.0009. Let z = m + 0.2457. What is z rounded to two dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43251?\nAnswer: 3, 13, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3*k + 132. What is the common denominator of -101\/44 and (0 - 244\/k)*(-3)\/(-6)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*q + 34. Let x(k) be the first derivative of -k**4\/4 + 9*k**3 - 12*k**2 + 20*k - 2. Does 11 divide x(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -16?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-20 - -20 - (3 - 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (593*o - 1175*o + 356 + 579*o)*(-4*o**2 + o**2 - o**2) as u*o**3 + m + i*o + v*o**2 and give v.\nAnswer: -1424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 925978870?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x + 810 + 321 = 0. Let r be (-5)\/25*(-1 - x). Let n = 1 - 1. Put 2\/9, r, 1, n in decreasing order.\nAnswer: r, 1, 2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 260\/(-104)*(-3024)\/30. What is the highest common factor of 24 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1119, -1119, -1111, -1089, -1047, -979, -879?\nAnswer: -741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-225)*(-30)\/9.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -5\/7. Sort 1, i, -0.4 in descending order.\nAnswer: 1, i, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*(0 - (-2)\/4). Let u = -13632 - -122713\/9. Factor -u*t**r - 1\/9 + 10\/9*t.\nAnswer: -(5*t - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7996 and 34650666?\nAnswer: 3998","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 4*i - 3*z - 27, 4*i = -z + 21 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -4103914\nAnswer: -1\/2051957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 1048971.\nAnswer: 4195884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03157923 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 6*o**2 - 10*o + 75. Let c(k) = -3*k**2 + 6. Let w be c(0). Calculate f(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29079821949 - 29079822161.00000107. Let m = d + 212. Round m to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21313022313 (base 4) in base 6?\nAnswer: 131224503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k - 7. Suppose d + 4*u - 30 = 0, -3*d = 5*u - 4*u - 46. Let h be s(d). Let x = 13 + h. Solve 5*a - x = -0*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.3631653 nanoseconds?\nAnswer: 0.0000000003631653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k**3 + 4*k**2 + 3. Let y(g) = 90 - 41 + 5*g**3 + 3*g**2 - 47. Give 4*x(v) - 6*y(v).\nAnswer: -6*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5 + 13*u**4 + 31*u**3 - 137*u**2 - 320*u + 700.\nAnswer: (u - 2)**2*(u + 5)**2*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 845*w - 1749. Determine m(2).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18786, 37573, 56360, 75147, 93934?\n\"Answer: 18787*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17864185*b*g - 3*b + 636901*g + 2 wrt b.\nAnswer: 17864185*g - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r**6\/288 - r**5\/32 + 5*r**4\/48 + 16*r**3\/3 - 28. Let j(a) be the third derivative of h(a). Factor j(f).\nAnswer: 5*(f - 2)*(f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-1 - 2) + 5)*(11 + -8) and 2460.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**3 - 5*t**2 - 5*t. Let g(o) be the third derivative of -o**6\/60 + o**5\/20 + o**4\/8 - 14*o**2. What is -5*g(n) - 3*k(n)?\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 0 + 8*p**2 + 1\/70*p**7 - p**3 + 0*p - 3\/8*p**4 + 1\/20*p**5 + 3\/40*p**6. Factor w(c).\nAnswer: 3*(c - 1)*(c + 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*(b\/(b**13*b*b))\/b)\/(b\/(b\/b**8))*b**(8\/7)*b*b\/(b*b*(b*b**2*b)\/b*b)*b assuming b is positive.\nAnswer: b**(-160\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -4, 9, -277, -7 in descending order.\nAnswer: 9, 0, -2, -4, -7, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 217, -15, 11 in decreasing order.\nAnswer: 217, 11, -3\/5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -0.23 (b) 3 (c) 15 (d) -2\/17 (e) 55.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-7))\/(12\/42).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 2\/6369?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*(sqrt(567) + -1) + -4) + ((3*(1 + sqrt(112)))**2 - (5 + (sqrt(28)\/sqrt(36))**2 + sqrt(7))).\nAnswer: 125*sqrt(7) + 9263\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 8 (b) 5 (c) 14 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 4:33 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-18))\/((-37)\/(-111))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.92*4.\nAnswer: 3.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2948515*i*z + 84468*i + 1 wrt z?\nAnswer: 2948515*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.1 (b) -2 (c) 361 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4075631 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvaqoowsvwvo. What is prob of picking 1 q, 1 v, and 1 a?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -181051, 4 in ascending order.\nAnswer: -181051, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3\/4, -3, -1\/2, 7 in increasing order.\nAnswer: -5, -3, -3\/4, -1\/2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59836457 and 497?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkdpkppbkkbkkdddk. What is prob of picking 4 k?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 2*b - 73, 7*b = -5*j + 3*b + 125. Let y = j + -7. Solve 0 = -4*z + y + 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 17*i - 30. Let o be z(2). Solve -3*g = 3*a - 12, -o*a - 5*g + 3 = -13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4071567*y**3 - 91880*y - 7.\nAnswer: 24429402*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 1:37 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0.18, -194 in descending order.\nAnswer: 8, 0.18, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 81*c. Let o be m(1). Let i(f) = -2*f + 63. Let n be i(29). Let g be n - 12\/(-5 - -2). What is the highest common factor of g and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 103536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486 + 6 = 60*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f - 1. Let o be x(-6). Suppose -4*r + 0*v = -4*v + 8, o*r - 11 = -2*v. Let b(w) = 61*w**3 + 3*w**2 - 1. What is the tens digit of b(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3071*c - 1506*c - 7577*c - 2 - 2 + 2 + 2*c + (-2 + 2 + 1)*(2*c - 3 + 3) - 2*c - c + 5*c - c + 0*c + 0*c.\nAnswer: -12149*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**4 - h**2 + h**2 - h**4 - 15*h**4 + 0*h**4 + 3*h**4 + 4*h**4 - 6*h**4 + (-h**3 - 2*h**3 + h**3)*(0*h + h - 2*h) - 5*h**4 + 2*h**4 + h**4.\nAnswer: -19*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-4 - -2) + (9 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/16 (b) 2\/7 (c) -376\/61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 20223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + a - 3. Give b(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1645785385 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from zeoeoqdzgeezqz.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34112424?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -81720310, -163440622, -245160934?\n\"Answer: -81720312*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 90*i + 1467. What is b(-16)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 133 - 130. Which is the closest to 6? (a) 0.2 (b) -0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3961 - -3993. Solve -r - 2 = -j, x*j - 36*j = r + 17 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10786, -8115, -5432, -2737, -30, 2689, 5420?\nAnswer: 8163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -527, -293, -57, 181, 421, 663, 907?\nAnswer: 1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000221692 rounded to 7 dps?\nAnswer: -0.0000222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i**3 - 2*i**2 + 6*i - 7. Let o(d) = 1717*d + 15448. Let f be o(-9). Let q(n) = 3*n**3 + 3*n**2 - 5*n + 6. Calculate f*v(h) - 6*q(h).\nAnswer: 2*h**3 - 8*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7307 + -0.73062326. Round n to six decimal places.\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3\/8*f**3 + 5\/4*f**2 - 9\/8*f + 1\/4 = 0.\nAnswer: 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -11347*b. Let a(f) = -2*f**2. Calculate a(n(v)).\nAnswer: -257508818*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*b = 65, -365*a - 2*b = -367*a + 26. Let t(g) be the second derivative of 0*g**2 + a*g + 0 - 1\/6*g**3. Let u(o) = 5*o. What is -4*t(j) - u(j)?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -25*p. Let f(b) = -77944*b**2. Determine f(i(t)).\nAnswer: -48715000*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3*x**5 - 13461621*x**4 + 15101236341528*x**3 + 75506518248540*x**2 = 0.\nAnswer: -5, 0, 2243606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + 2 + 2 - -1) + -26?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -5*l**3\/3 + 10715*l**2\/6 + 603925*l - 4271085\/2 = 0.\nAnswer: -273, 7\/2, 1341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303*o - 298*o + m = 360, -4*m + 216 = 3*o. Is o a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1328 is divided by 401.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 9. Let m(t) = -t**2 - 7*t + 10. Let n be m(r). Factor -4\/7 + n*x**2 + 10\/7*x.\nAnswer: 2*(x + 1)*(7*x - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 289*d + 291*d = 13, 4*d = 6*y - 78 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 26. Let k(q) = 2*q**2 + q - 4. Let p be k(h). Let w(v) = v**3 - 3*v**2 + 17*v - 16. Is w(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-273)\/78)\/(3\/6*1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 5\/4, -28, -370?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 901799941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8784 + 10515. What are the prime factors of z?\nAnswer: 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 2, -0.3, 1, -0.07, 0.6, -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f*h**2*v**2 + 2*f*h*v**2 + 4217*f*h*v - f + 15*h**3*v**2 + h**3 - 9*h*v**2 wrt h?\nAnswer: -4*f*v**2 + 90*h*v**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*k + 3, 4*k + 5 = m + 4. Let x be -1 + 6 - (3 - 1). Suppose -x*g - 3*c = 12, 4*c + 6 = -10. Solve g = -2*s - 7 - m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2 + 33*d + 13. What is the remainder when x(15) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2496 - 1937. What is the remainder when r is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4366 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -275, -282, -295, -314, -339, -370?\n\"Answer: -3*k**2 + 2*k - 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2\/7 (b) 0.1 (c) 5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*-4*5)\/(sqrt(60)\/(sqrt(5)*-2)).\nAnswer: 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*l**3 - 11*l - l + 0*l + 3 - l**2 + 13*l to k*l**2 + z*l + t + g*l**3 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.3 + -160.3. Let u = m + 152. Let q = -3 + 2.9. Put q, -3, u, -2\/7 in decreasing order.\nAnswer: u, q, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1062\/(-12))\/(-1)*8\/6. Suppose -5*y + 718 = g. What is the greatest common factor of 30 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8413 take away 403834.4?\nAnswer: -412247.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/4)*g*g)**(37\/5))**(-3\/17) assuming g is positive.\nAnswer: g**(-999\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -384 + -28. What is the smallest value in o, -4, -1, -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(24)\/(sqrt(12)*-2))**2 - (0 + sqrt(162)) - ((sqrt(120) + 1*sqrt(120))\/sqrt(12))\/((sqrt(5) - -1*sqrt(5))*6).\nAnswer: -49*sqrt(2)\/6 + 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 20*y + 189. Let c be h(-27). Find the common denominator of 1\/90 and (99\/(-48) - c) + 3.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 141.3 - -136551719.177.\nAnswer: 136551860.477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -2252034\nAnswer: -1\/2252034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 20. Let s be b(10). Suppose -2*k - g = 3*k - 19, -4*k = 4*g - 12. Solve 0*i - 5*i - s = w, i = k*w + 19 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 270, -2, 0.5, -5?\nAnswer: 270","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*s**(3\/5))\/s)*s*s**(2\/35)*s**15\/(s\/s**(-3\/5)))**36 assuming s is positive.\nAnswer: s**(3744\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -479 - -1919\/4. Let h(i) be the second derivative of b*i**4 + 0*i**2 + 0 + 0*i**5 + 0*i**3 - i + 1\/30*i**6. Find the third derivative of h(g) wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 35*c - 29. Let q be l(42). Let i = q + -201. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76)\/285*9\/(-16)*-2?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1001 and -1\/21451703.\nAnswer: 235968733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9792 * 0.09.\nAnswer: -0.088128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**3\/4 - 2*o**2 - 5*o = 0?\nAnswer: -2, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 128\/60)\/(99\/(-20) + -17 + 22)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2031 + 2024. Let i(j) = -2*j**2 + 17*j - 53. Let g(h) = -26*h + 4*h**2 - 7*h + 76 + 31. Let v(o) = w*i(o) - 3*g(o). What is q in v(q) = 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26400?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*s - 12*s + 60. Suppose 98 = -2*w + s. Let k = w - -56. Calculate the greatest common divisor of 68 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - (1 + -2)) + (-317 - (-164 + -136)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/26373 and -49\/2.\nAnswer: 52746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1062, 834, 308, -636, -2118?\nAnswer: -4258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 5*k + 35. Is p(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**3\/5 + 12869*c**2\/5 + 64364*c\/5 + 77244\/5 = 0.\nAnswer: -3, -2, 12874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -10*c**2 + 3*c - 2. Let f(q) = 17*q**3 + 1017*q**2 - 178*q + 124. Let i be f(-60). Let h(g) = g**2 + g - 1. Calculate i*h(r) - 2*d(r).\nAnswer: 24*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 13*g. Let m be 16\/6 - (-10)\/(-15). Let y(q) = -m*q - 7 + 5 + 2. What is y(l(x))?\nAnswer: -26*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90454 is divided by 3344.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**4\/24 + 2*k**3\/3 + k**2. Let v = -260 + 258. Let z be i(v). Sort 3, -4, z in ascending order.\nAnswer: -4, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((144\/140)\/9)\/(2\/(-10)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -5*v - 395. Let s = -389\/5 - v. Find n, given that -2\/5*n**3 - s*n - 2\/5 - 6\/5*n**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-126)*14\/4. Let v(c) be the first derivative of 0*c + 3\/4*c**4 - 2 + 3\/5*c**5 + u*c**6 + 1\/3*c**3 + 0*c**2. Factor v(t).\nAnswer: t**2*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-3))\/((-162)\/243). Put -44, v, 5 in decreasing order.\nAnswer: 5, v, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001025479 rounded to 6 dps?\nAnswer: -0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 3215*d - 6450.\nAnswer: 5*(d - 645)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11104 divided by -29\nAnswer: -11104\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/10*17\/((-102)\/(-36))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -41*v**2 + 26*v - 126. Calculate d(4).\nAnswer: -678","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 39*h**2 + h + 1. Suppose -p + 7 = 1. Let y = p + -8. Is i(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 6*o + 3. Let q be b(6). Suppose -4*u + 3 = -q*u, -2*u = 4*w - 14. Solve w*y = 4*y + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 9*s = 105*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1647\/239842 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-16))\/(-9) - (-4543)\/236?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -431362 divided by 5\nAnswer: -431362\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15734472 by 611.\nAnswer: -25752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 4*a - 3*f, 0*a - 3 = 3*a - 5*f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.042, -17\/20, 1\/6, -10 in descending order.\nAnswer: 1\/6, -0.042, -17\/20, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -18850 != -20135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -16. Suppose -3 - 33 = -p*s. Differentiate 128*y**2 - 2*y**3 + s*y**3 - 128*y**2 - 14 wrt y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2\/3 (b) -0.5 (c) -11\/3 (d) -8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4)*1)\/(4\/(-8))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -0.02 (b) -1.3 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 31*w + 586. Calculate the remainder when 2974 is divided by p(-11).\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/(-147)*(-7)\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1746)\/1455*10\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g. Let o(d) = d - 167. Give t(o(l)).\nAnswer: l - 167","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25402777.2us to days.\nAnswer: 0.000294013625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nine sixteenths of a kilometer?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*r + r. Suppose -b = r*b - 24. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4 = -0*m. What is the remainder when m\/(-2) - (-20 + -3) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436 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 remainder when 342753 is divided by 85569?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 - -0.4. Let f = 3329.6 + -3327.6. Which is the nearest to f? (a) 1 (b) -6\/19 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 31*d**5\/30 - d**4\/12 + 2*d**3\/3 - 4*d**2. Suppose u - 5*c = -18, -4*c = u - 8*c + 14. What is the tens digit of b(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -200416, -400836, -601256, -801676, -1002096, -1202516?\nAnswer: -1402936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 6 - (-51 + 103 + -46)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) 1\/4 (c) 0.0392\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b. Let g(f) = -5*f - 6. Let u(l) = l + 1. Let n(v) = g(v) + 6*u(v). Calculate m(n(o)).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 10:51 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.8754079 - 0.2753459. Let d = u + -3.6. Round d to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 77 (b) 1 (c) -14 (d) -0.1 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/38002 and -59\/20?\nAnswer: 380020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**2 + r - 1. Let v(w) = -w**2. Determine -d(g) - 2*v(g).\nAnswer: -g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*s - 2 + 32, -3*n - 3*s = 0. Find the second derivative of 7*y**5 + 27*y + 24*y**5 - 9*y**n wrt y.\nAnswer: 440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -230315112 divided by -6.\nAnswer: 38385852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/7)*f*f**(-9\/5)*f)\/(f*f*f\/(f*f\/(f\/(f*(f*f\/((f*f*f**2*f*f)\/f*f))\/f))*f*f))**(11\/6) assuming f is positive.\nAnswer: f**(-734\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*v - 21, 0 = -3*j - 0*j + 2*v + 11. Let m be (-1)\/j - (-4)\/120. Which is the third biggest value? (a) 2 (b) m (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -742\/135, -2, -1\/9?\nAnswer: -742\/135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-19 - -8 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-997 - (-3)\/3)*(-27180)\/720?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/4 - (108\/(-16) + 2). Let k(f) = f**2 + 1. Let c(z) = -5*z**2 - 7. Give h*k(r) + c(r).\nAnswer: -r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 12*k**2 - 14*k + 17. Let w be x(13). Suppose 5*v - 39 = -2*l + 3*l, l = -w. Calculate the least common multiple of 5 and v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, q: 4}. What is prob of picking 1 q and 3 d?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2081 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 69 = -8*s. Suppose -s*d = -d + 2*d. Let a be ((-6)\/(-10))\/((-63)\/45). Sort -3, d, 3\/5, a.\nAnswer: -3, a, d, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*c**2 - 49*c**2 + 18*c**2)*((-4*c + 3*c - 2*c)*(0 - 1 - 1) - c - 2*c + 5*c + (-13 - 8 + 20)*(-3*c + 0*c + 4*c)).\nAnswer: -294*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 7. Let w be (-150)\/54 + (-2)\/l. Which is greater: -5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/6*4\/(-48). Suppose -2*f + 19 = -i - 2*i, 0 = -3*f + 6. Let g(a) = a**3 + 3*a**2 - 6*a - 3. Let m be g(i). Which is bigger: m or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4112 * 13.3\nAnswer: 54689.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*u + 176 = 119*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 20. Let z be t(4). Calculate the common denominator of 1\/10 and (z\/35)\/((-13)\/(-130)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(16\/120*5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10997931\/5 or 2199587?\nAnswer: 2199587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 102.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 511849, 2047377, 4606591, 8189491, 12796077, 18426349?\n\"Answer: 511843*q**2 - q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -23*j**6\/60 + 3*j**5\/20 - 5*j**4\/24 - 25*j**3\/3 + 474*j**2. What is the second derivative of b(t) wrt t?\nAnswer: -276*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6227750 to the nearest integer?\nAnswer: 2496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 235 + -386. Let l = g - -264. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 877?\nAnswer: 9\/877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 4*a + 4*a)*(1 - 3 + 3) + 3*a**2 + 3*a**2 - 4*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -222 - -520. What is the remainder when i is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2463*r**3 - 12101 - 1343*r**3 + 1785*r**3 with respect to r.\nAnswer: 8715*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-18)\/(-2))\/((-33)\/(-242)) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560550371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 9 = 8*c. Put 4, -4, c in descending order.\nAnswer: 4, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from blbsbsbsslbsslb. What is prob of sequence lbs?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*w - 15. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7115653?\nAnswer: 181, 39313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**6\/80 + 3*a**5\/80 + a**4\/32 + 7*a. Determine r, given that w(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -10496*a**2 + 3710*a - 25. Let p(r) = -2624*r**2 + 926*r - 6. Let g(y) = -6*f(y) + 25*p(y). Find the second derivative of g(n) wrt n.\nAnswer: -5248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12000 and 196000.\nAnswer: 588000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3987983 not equal to -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**6\/320 - 237*a**5\/160 - 477*a**4\/64 - 239*a**3\/16 + 326*a**2. Factor k(r).\nAnswer: 3*(r - 239)*(r + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 693 is divided by 641.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -9*s + 7. Let v be (60\/270)\/(2\/9) - -5. Let m(q) = -9*q + 6. Determine v*a(b) - 7*m(b).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**6\/120 + t**5\/15 + t**4\/8 - t**2\/2 - 3*t. Let b(w) be the first derivative of u(w). What is the units digit of b(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/13 (b) -1\/845282 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 10:35 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-6) + (-430)\/60. Let m(b) = -b**2 - 14*b - 10. Calculate the remainder when m(h) is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.11 to the nearest integer.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h + 36 = -2*o, -3*o + 1339426*h = 1339423*h + 2 - 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3328 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: Expand (-2*a + a + 0*a)*(-3 - 2 - 5)*(0 + 0 - 1)*(4*a - 11 + 11)*(4 + 5 - 12).\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**4\/24 + 2*l**3\/3 + 10*l**2. Let n be f(-2). Determine u so that -1\/3 + u**n + 2\/3*u = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5258310447.\nAnswer: 3, 13, 10371421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 + -5. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*l = -4*l + 16, 0 = 3*b - l + 4. Solve -z + 5*z = b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2 = 3*d, 2*d - 10 = -d + 2*p. Let -3 - f**4 + 3 + f**d = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 668711165 a multiple of 1165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/12)\/((-310)\/2325*5\/(-106)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 11*s**2 - 19*s + 4. Calculate k(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -109\/7 (b) -9 (c) 0.4 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 113002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 688820 and 7793555?\nAnswer: 1705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1024 and 320?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12843993 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 174*t - 1051. Determine y(179).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 107083092 to the power of 1\/2, to the nearest integer?\nAnswer: 10348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 91\/4 of a litre?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -57864 times -0.74?\nAnswer: 42819.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1)*r)**(-7\/6)*r**(-3)\/(r*r*(r*(r*r**(-6))\/r*r)\/r))\/((r**1)**(-49)\/(r**(2\/5))**(-3\/4)) assuming r is positive.\nAnswer: r**(487\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + h + 6, -5*g + g = -4*h + 8. Let a(n) = 22*n + n**2 - 2*n + g*n - 20 + n**2. What is the remainder when a(-13) is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b = -15*b + 2. Let y(i) = i**2 - 8*i - 17. Let o be y(b). Let u(q) = -3*q**2 - 3*q. Let r(p) = 4*p**2 + 4*p - 1. What is o*u(f) + 2*r(f)?\nAnswer: -f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -755\/4 + 191. Let d(z) = z**3 - 89*z**2 + 500*z - 164. Let s be d(83). Solve l*j - 3\/4*j**3 - 3\/2 + 0*j**s = 0 for j.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0 + 4 = 0. Let q(d) = 5*d**3 + d**2 - 2*d + 1. Let y be q(w). Let m(x) = 1 - 47*x + 46*x + 7. Calculate m(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152477 and 481.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 1 + 4 = -c, 15 = 2*c + 5*w for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4633707737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/4 - (2 + -2). Suppose 0 = -t*d - 4*d - 4. Is 9 a factor of (-104)\/(-12) + d\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 18852329 (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -1 + 4 - 0. Let y be -3 + (1 - (-25 + k)). Solve -4*m - 5*n - y = 0, 4*n = 9*n + 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/(t**12\/t))\/t)\/(t*t**10))\/(t**(1\/3))**(-2\/21) assuming t is positive.\nAnswer: t**(-1321\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z - 1107 = 948*z - 149 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12222020 + -10?\nAnswer: 12222010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -20070000 to the nearest 100000.\nAnswer: -20100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 380 - 25*v - 15*v + 41*v - 380.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 0 - 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12898, 12926, 12982, 13060, 13154?\n\"Answer: -l**3 + 20*l**2 - 25*l + 12904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 14\/33 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*a**5 + 7788*a**4 + 121488*a**3 + 503166*a**2 - 1571871*a + 29478 = 0 for a.\nAnswer: -17, 1\/53, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3873 + -3872. Let n be (4\/(-14))\/(1\/2). Which is the second smallest value? (a) n (b) y (c) 3\/7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**3\/3 - x. Let h(a) = a**2 + 4*a + 3. Let q be h(-1). Let w(t) = 7*t + q*t - t - t. Determine b(w(f)).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 2*l**2 - 2*l. Let r be j(-2). Suppose -r*o = -75 - 93. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 x when four letters picked without replacement from xxxxxxxxxvxvxxxxxxxx?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11905637487*o + o**2 - 11905637487*o.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 5*p + 9. Let l be s(4). Let d = l + 29. Solve d*t + 6 = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-6\/7))**(-2\/7)\/(b\/b**(1\/4)*b**(6\/5)) assuming b is positive.\nAnswer: b**(-2431\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**6\/120 + n**5\/10 + n**4\/4 + 3*n**3\/2 + n**2. Let v be o(7). Solve 0*g + 6 = -v*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 + 81*w - 2226*w**3 + 2264*w**3 - 81*w + 25*w**4 to g*w**2 + t*w + o*w**4 + i + z*w**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*x + 1068, -5*p - 484 = -2*x - 72. Let l be (4\/6)\/(72\/x). Solve l + 3 = 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + 5 + 53 - (1762 + -1756).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 6 - 11)*((0 - 4*z + 0)*(-4 - 2 + 0)*(1 - 3 - 1) + (-2 - 3 + 3)*(-z - 3*z + 3*z)).\nAnswer: 70*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (148*r**4 + 67*r**3 - 67*r**3)*(-3 - 1 + 2)*(2 - 2 + 2) + (-7*r**3 + 0*r**3 + 3*r**3)*(3*r + r - 3*r) + 2*r**3 - 2*r**3 - 2*r**3 + 3*r**4.\nAnswer: -593*r**4 - 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**5\/2 + 6969*k**4 - 11496546*k**3 + 7906359564*k**2 - 1936870543296*k + 3842207509248 = 0.\nAnswer: 2, 696, 1626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-240)\/(-168)*(-7)\/9. Which is the third smallest value? (a) k (b) 3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)*v*v)**39 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 8) to base 7.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*4*(7\/21)\/1*-3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 198571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 10*f**3 - 15*f**2 + 26*f - 48. Determine p(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0532, 3, -2, -5\/7, -0.04?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.09 + 0.01. Let n = -2.92 + f. Let w be (-6)\/(-4) + 30\/(-16). What is the closest to n in w, -1\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide -1 - 1 - (-754 - -23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 6 + 254*x + 0 - 4 + x**2.\nAnswer: x**2 + 254*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -7, -0.3, -19\/2, 2.58, 4?\nAnswer: 2.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*k, 0*a + 3*k - 6 = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 6*t**5\/5 - 4*t**3\/3 - 2536*t - 753. Differentiate w(z) wrt z.\nAnswer: 24*z**3 - 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -94448, 1, -5, 0 in descending order.\nAnswer: 1, 0, -4, -5, -94448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 24924*d + 43*d**2 - 24924*d. Let l(r) = 4*r. What is c(l(p))?\nAnswer: 688*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lndn when four letters picked without replacement from tntlltnltlnlltttdtt?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 1691*c**6\/120 - 3979*c**5\/60 - c**3\/3 + 1793*c**2 + c + 1. What is the third derivative of f(d) wrt d?\nAnswer: 10146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xlpuxgd. What is prob of picking 1 u, 1 g, 1 l, and 1 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46*(-5)\/(-60) - (-8 - -11))\/(-1).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4 + (-90)\/16 + -3 and -23\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4ba86 - -2?\nAnswer: -4ba84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of h**4\/4 - 8*h**3\/3 + 9*h**2\/2 - 5*h + 14. Let u be a(7). Suppose -168 = -11*f + u*f. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjll when four letters picked without replacement from {j: 2, a: 3, l: 1, q: 10}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35.999999761 + -36. What is y rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 5\/1309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8740 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -7*x**6\/120 - x**5\/60 + x**3\/6 - 7*x**2 - 2*x - 72. Let i(o) be the first derivative of f(o). Determine i(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27225 or 27224?\nAnswer: 27225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -4. Suppose -7*t - z = -10*t. Solve t*m + 15 = 3*f, -4*f + 3 = 4*m + f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/17 + 11\/((-2057)\/(-1474)). Suppose 25 = 5*p + b, -3*p + k*b = 5*b - 15. What is the highest common factor of 395 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - (19 - (9 - 3))) + 20?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 772\/12 + 30218\/(-521).\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*q + 194, -2*c - 5*q = 32 + 80. Let r = c - -153. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.39 plus 44630.829?\nAnswer: 44624.439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjej when four letters picked without replacement from {s: 1, j: 8, e: 6, h: 1, d: 4}.\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-1\/6))\/(c\/c**5))\/((c\/c**(-2\/3))\/c**(-1\/4)))**45 assuming c is positive.\nAnswer: c**(525\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5846 is divided by 282?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 112 - 110. Does 52 divide (509\/(-5)*s)\/(38\/(-95))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4 - 46. What is the remainder when 6\/(-5)*h\/3 is divided by 20\/(-8) + 3 + 10\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 + -0.21. Let d = 5.06 + -5. Let g = 4.06 - d. Which is the closest to 0.2? (a) g (b) -0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5835231, 5835230, 5835229, 5835228?\n\"Answer: -w + 5835232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 5:51 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5\/6 + 764719*y**4\/3 - 509813*y**3\/2.\nAnswer: y**3*(y - 1)*(y + 1529439)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 4*a + 5. What is k(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -879448428 divided by -3\nAnswer: 293149476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 9:13 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08 smaller than 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 118 + 356 + 392 + 11)*(2*p**3 - 2*p**3 - p**3).\nAnswer: -648*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25376 at least as big as 26097?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1053790 (base 13) to base 16.\nAnswer: 4bf361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41\/15 + 13\/5. Let d = 3.7 - 4. Which is the third biggest value? (a) 0.1 (b) t (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13453 (base 6) to base 9.\nAnswer: 2816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 106 - 103. Suppose -3*g = -g - 3*u - 10, 5*g - 3*u - 25 = 0. Suppose -2*z = 2*h - g*h + 7, -20 = -4*h. Put z, b, -2 in decreasing order.\nAnswer: z, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvuuvvuvv. Give prob of sequence uvvv.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*z**5 + 2*z**4 + 245*z**3 + 25059*z + 2 wrt z.\nAnswer: -180*z**3 + 24*z**2 + 1470*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192135?\nAnswer: 3, 5, 12809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.39 times 2?\nAnswer: 26.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**2\/2 - 4*s - 2. Let v = -6 - 0. Let o = v + 11. Let j(c) = c - 3. Give o*y(x) - 6*j(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 796101 and 7101?\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20651 and 2140?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 791 divide 11438008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 2. Let w be (0\/(1 + -5))\/1. Let a(k) = -k**2 - 3*k + 6. Let r be a(w). Give f(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161, -342, -633, -1028, -1521, -2106, -2777, -3528?\nAnswer: -4353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -16, 84, 212, 362, 528, 704, 884?\nAnswer: 1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6865 and 25.\nAnswer: 34325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 14404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -7, 11, -1\/4, -14?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jkkjjjjkjj. What is prob of sequence kjjj?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/5)*g)**32*(g*g*g**0)**(-28) assuming g is positive.\nAnswer: g**(-152\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2\/7, -100090, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19110 divided by -195.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 17*i**3 - 14*i**2 + 219*i. Let s(a) = 12*a**3 - 10*a**2 + 146*a. What is 7*s(d) - 5*x(d)?\nAnswer: -d**3 - 73*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/6, 1, -2823, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26566415*-0.2.\nAnswer: -5313283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10895000 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11000011 (base 3) to base 10\nAnswer: -2920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3330\/165 - 2\/11. Let c = s - 6. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146777.0591 rounded to the nearest one thousand?\nAnswer: 147000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*y - 22, -3*y + y - 42 = 2*t. Let k = y - -21. Determine c, given that 3\/4*c**5 + 7\/4*c + 11\/2*c**3 - 1\/4 - 9\/2*c**2 - 13\/4*c**k = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3397549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 8 = 5*u, 0 = -5*x + u - 2148 + 2158 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1187 - 1163. Let d = -28.25 - -0.25. Let a = y + d. Put a, 0.5, 8 in decreasing order.\nAnswer: 8, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1256868, 2513705, 3770542, 5027379, 6284216, 7541053?\nAnswer: 8797890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000276601889 rounded to six decimal places?\nAnswer: -0.000277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 9*p + 1. Let s = -68 + 72. Suppose 11 + 6 = 3*d - s*m, -5*m = 4*d + 29. Calculate l(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - 3120321?\nAnswer: -3121002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 525*b - 49076. Give v(606).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -253, -516, -781, -1048, -1317, -1588, -1861?\nAnswer: -2136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) 3 (c) -7\/2 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/2 of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - c**2 + c + 1. Suppose 4 - 2 = 2*u + 2*k, -4*u + 14 = -k. Let q = u - 5. Is a(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 24*q - 42. Calculate x(22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 99831776 and 0.028.\nAnswer: 99831776.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135 and 108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = 84*d - 87*d + 4*h, h + 33 = d. Solve 3*l - 32 = -d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8341698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -2*f**7\/35 + f**6\/40 + 17*f**4\/24 + 15*f**2 + 1. What is the second derivative of a(z) wrt z?\nAnswer: -144*z**2 + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (21 + -19)\/(((-18)\/15)\/3). What is the closest to -4 in -1\/4, t, 2\/19, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b**3 - 3*b**2 - 2*b + 1. Let i(s) = 18*s**3 - 9*s**2 + 31*s + 2. Calculate i(u) - 2*o(u).\nAnswer: 6*u**3 - 3*u**2 + 35*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.688 and -46638?\nAnswer: -78724.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = m + 5*k, 2 = 2*m + 5*k - 2. What is the common denominator of 46*5\/(-36) - m and (122\/8 - -1) + -1?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*w - 9*a + 9160, -w + 4*a + 4556 = 0. Let t = w + -3077. Is t a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - o - 356411*o**2 + 356390*o**2.\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 9083 divide 1012118690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (57 - 60) + (0 - (13 - 2)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 >= 228729\/5168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 23433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5443869 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 39002 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 5*j**5 + 1650*j**4 - 6715*j**3 - 11640*j**2 + 16700*j = 0.\nAnswer: -334, -2, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*p = 0, -5*p - 15 = 3*s. Let g be s - (-2 + 0 - 0). Let j(c) = -3*c + 4. What is the units digit of j(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 8*u**2 + 16*u + 5. What is s(7)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 425925245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 302941?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-5*(2 + -1*sqrt(63) - sqrt(35)\/(sqrt(405)*-2 - sqrt(405))))**2.\nAnswer: -8000*sqrt(7)\/27 + 1192900\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 10:13 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.08, -0.092, -1.64, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p - 13. Let b be x(3). Suppose -3*m = -b*m - 3. Let c(w) = 2*w**2 - 2*w - 2. What is c(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 44*r**2 - 61*r - 152. What is the ten thousands digit of w(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2455*l**3 + l**2 + 8*l**2 - 11*l**2 + 2*l**2)*(-3 - 2 + 3) as i*l + v*l**3 + p + x*l**2 and give v.\nAnswer: -4910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(sqrt(22)\/sqrt(2)) + 5)**2 - (sqrt(17) - (sqrt(85)\/sqrt(5))**2)*4*6.\nAnswer: -14*sqrt(17) + 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (47 + -23)\/(2\/3). Suppose 2*n + u = 8*n. Solve t - 15 = n*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7138 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -137, 1, -0.1, -2, 2\/563 in ascending order.\nAnswer: -137, -2, -0.1, 2\/563, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 198*t**2 - 73*t - 72. Calculate the remainder when 723 is divided by m(-1).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q**4 + 178*q**3 + 209*q + 13. Let z(j) = 6*j**4 - 355*j**3 - 418*j - 28. Let g(v) = 13*f(v) + 6*z(v). Find the second derivative of g(d) wrt d.\nAnswer: -36*d**2 + 1104*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7310 divided by -5?\nAnswer: 1462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*v - 771, y = -5*v + 131 + 12. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 91581 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11938, -11947, -11960, -11977, -11998, -12023, -12052?\n\"Answer: -2*u**2 - 3*u - 11933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -537*d - 28388 = 165*d + 55150 for d.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 7:07 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**3\/3 - j**2 + 2*j - 3. Let s be q(2). Let u(p) = 2*p**2 + p - p - 3*p**s. Let m(h) = 2*h**2. Determine u(m(b)).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 9*n**2 + 14*n - 4. Suppose -i = -4*i + 3*v - 30, -i + 2*v - 14 = 0. Calculate the remainder when 77 is divided by p(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1127040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(3\/2)*(u**(2\/5)\/u*u)\/u*(u\/((u*u**(2\/3))\/u)*u)**(-28))**21)**(18\/13) assuming u is positive.\nAnswer: u**(-68859\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5828 or -5808?\nAnswer: -5828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*s**2 - 65*s**2 - 79*s**2 - 46*s**2 + 101*s**2 + 24*s**2.\nAnswer: -128*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + l**2 + 2*l + 1. Let s(v) = -9*v**4 - 4*v**3 - 7*v**2 - 14*v + 307. Let u(f) = 14*k(f) + 2*s(f). Find the first derivative of u(a) wrt a.\nAnswer: -72*a**3 + 18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k - 3. Let f(j) = j + 1. Let i(u) = -3*f(u) - s(u). Let q(p) = 4*p. Suppose r - 42 = -4*c, r + r + c - 63 = 0. Determine r*i(v) + 6*q(v).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.41 + 0.41. Which is the biggest value? (a) -1\/3 (b) 3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -7852*s + 70653. Calculate l(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 4 + 2 - 2 + 2 + (1 + 0 - 3)*(1 - 2 + 2) + (-2 - 4 + 5)*(-7 + 2 + 0))*(10*p - 19 + 19).\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a factor of 18193176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -509444*r + 154839 wrt r.\nAnswer: -509444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1939 + 3271. What is the remainder when q is divided by 223?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/24*4*-6. Suppose -2*r + 4493 = 4*n + r, 0 = -v*r + 9. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = i - 4*n, -n + 89 = 84 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 1798.51472?\nAnswer: 8992.5736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18, 35, 58, 87, 122?\n\"Answer: 3*y**2 + 8*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3456 - -13589. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5064 - -5743. Calculate the remainder when s is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 1. Let h(u) = u**2 - u - 4. Suppose -q + 3*k = 4*q - 1891, -3*q + 1129 = k. Let d = 375 - q. Calculate d*o(m) + h(m).\nAnswer: 3*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 10) in base 12?\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = p - 32. What is the highest common factor of 144 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**3 - 9*v**3 + 0*v**3 + 3 + 2*v**3.\nAnswer: -14*v**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t + t**2 - 21 - 7*t**2 + 28. Let z(w) = -4*w**2 + 5*w + 5. Let q(p) = 5*r(p) - 7*z(p). Let y(u) = -2*u. Calculate y(q(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 5*c**2 + 2*c - 5. Let n be k(5). Suppose 0 = -2*h - 3*p + 2, h + n*p - 1 = -0. Solve -5*r - 2 = 2*x, -h = r - x + 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*p - 6*p + 3*v, 5*v + 18 = 4*p. Solve -13 = -5*i - m, 5*i - p - 2 = 2*m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12363, 12356, 12349, 12342, 12335, 12328?\n\"Answer: -7*p + 12370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 - 169\/4. Let p = -0.251 - 1.769. Let z = 0.02 + p. Which is the nearest to -1? (a) m (b) z (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -96*o - 4 + 9 - 5 in the form k*o + g and give k.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 + 5*j + 58. Let o be b(8). Which is smaller: o or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.1+0.11\nAnswer: -11.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (477\/(-24))\/(-53)*(1\/(-4) + (-273)\/(-84)).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -15. Let u(f) = -f**2 - f + 5. Let z be u(d). Let a be z - (9\/12 - 46\/8). Solve 5*j = a*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/5 - 10782*o + 145314405.\nAnswer: (o - 26955)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*d**15)**0*((d\/((d\/d**(-1))\/d))\/(d*d*d**4\/d))\/(d\/((d**5\/d)\/d)*d\/(d\/d**(-4))) assuming d is positive.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**2 - 4*k + 34. Let c be a(7). Let s = 319 + c. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 8. Let m = -6.5 + k. Let c = 0.1 - 0.2. Sort m, c, 0.6 in descending order.\nAnswer: 0.6, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*j + 41*j + 22*j = 480 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/82535515 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -47849, -41581, -35313, -29045, -22777?\n\"Answer: 6268*k - 54117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 5:21 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -93bb?\nAnswer: 9403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3251230.4 rounded to the nearest one thousand?\nAnswer: -3251000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2118 and (-102 - -99)*(-15532)\/12.\nAnswer: 23298","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-3)*24\/10. Suppose -l + 3*l + a = 2*y, 0 = 2*y - 8. Let u = l + 3. Put 3, 4, u in descending order.\nAnswer: 4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 11 - 17)*(t + 0 + 0) + 0*t - t + 2*t + t + 0 + 0 + (4 - 4 + 2)*(0*t - 3*t + 5*t) + 5*t - 2*t - 5*t.\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-108)\/7*56\/(-10). Let i = a - 1186\/15. Calculate the common denominator of 34 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 8) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 2*n - 5 - n + 0*n + 2*n + (-2*n + 6*n - 3*n)*(-12 - 10 + 2).\nAnswer: -21*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**2\/2 - 67842*w - 767089494 = 0.\nAnswer: -22614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*c**3*y - 190*c**3 + c**2*y**3 - 6*y wrt y?\nAnswer: -3*c**3 + 3*c**2*y**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -90*8\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88603 and 753?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -3*s - 8, 4*f - 4 = 8*s - 10*s for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76604, 76602, 76600, 76598, 76596?\nAnswer: 76594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 3*n + 40. Give o(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 smaller than -12.17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -56. Let f = 10 - -1. What is the remainder when k is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6131050 + -6131082.000022. Let m = -32 - i. Round m to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -4. Let w be ((-175)\/(-10))\/(-7)*24\/(-10). Suppose -v - u = -w. Is v a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7051961.71 and 0.5.\nAnswer: 7051962.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 0*b**4 + 0*b**3 + 2*b**2 - 176\/105*b**7 - 2\/5*b**5 - 4\/21*b**8 - 3*b + 47\/30*b**6 + 0. Let g(x) = 0. Calculate x.\nAnswer: -6, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, -15, -8, -2, 1402 in descending order.\nAnswer: 1402, -2, -4, -7, -8, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16092 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**4\/4 + p**3\/3 + 3*p**2. Let i(n) = 7 - 7*n - 2 - 1 - 6. Let u(j) = 47*j - 334. Let m be u(7). Calculate m*w(y) - 4*i(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -34512 (base 15) to base 8\nAnswer: -505165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - 1350\/(-72))\/((-1)\/(-4)) - (-1 - 8).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13015.302*-0.2.\nAnswer: 2603.0604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.073941 - -6681035\nAnswer: 6681034.926059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-2)*(-8)\/(-18). Suppose -v + 2 = -1. Suppose -u - a*u + 17 = b, 0 = -v*b + u + 11. Solve b*z - 5*w - 11 = 19, 4*w + 4 = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41392, -82819, -124226, -165607, -206956, -248267, -289534, -330751?\nAnswer: -371912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*z + 5199 + 4081 = 0 for z.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 7*j**2 - 11*j + 6. Let n be h(5). Let p be (6\/735)\/(n\/5). Is p less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 958, 0, 4, 59, 10, 2 in increasing order.\nAnswer: 0, 2, 4, 5, 10, 59, 958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-65)\/(-2) - 1)\/((-11)\/(-22)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 76*m - 807. What is the remainder when (-23 + 1)*-1*2 is divided by i(-63)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/24 + 6102\/(-4). Let v = r - -2417. Suppose 0*q = 4*q - v. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -328*l**4 + 2*l**2 + 3230*l wrt l.\nAnswer: -3936*l**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 + 61*l. Let i(j) = 60*j**2. What is h(i(f))?\nAnswer: -7200*f**4 + 3660*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*w - 53 = 0, 5*p - 45 = -4*w + 31. Let h = -14 + p. Solve h*c = 3*k - 10, 1 - 6 = -k - c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**4 + 2*b**4 - 2*b**4)*(2*b - 2*b - 16*b) + 6*b**4 - b**5 - 7*b**4 + 2*b**4 + b.\nAnswer: -17*b**5 + b**4 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 15 = -41. Let s be ((-15)\/9)\/(2\/6). What is the remainder when t is divided by (-72)\/s + 6\/(-15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 - 5*w + 12. Let q be l(5). Let z be q*(2 + 0\/(-4)). Suppose z - 338 = -4*n. Is 27 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -52?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*5*(sqrt(88) + -1*sqrt(88)))\/(sqrt(72) - 3*(sqrt(72) - sqrt(72)*2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (9\/2 + -4)*2386 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3 - 1 + 5*t - 7*t. Let x(l) be the third derivative of l**4\/12 - l**3\/2 - l**2. Give -5*w(k) - 4*x(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -9*x**2. Let f(d) = -2*d**2 - 12. What is w(f(g))?\nAnswer: -36*g**4 - 432*g**2 - 1296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**2 + 411405*m - 822798 = 0.\nAnswer: 2, 137133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1363\/5 - 341. Let v = 154 + -86. Let f = v + r. Is 2 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 6) + (4 - (-1 - -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 153 + 3?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 7*p - 5 + 3*p**3 + 2*p - 1 + 5*p**2 - 4*p**3. What is m(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/7)\/5*(19 - 18).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**4\/24 + n**3\/6 - 3*n**2\/2 + 4*n. Let j(v) be the first derivative of o(v). Determine j(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**2 + 3*k - 2. Let w be z(-3). Suppose 1480 = 27*q - w*q. List the prime factors of q.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -242 divided by -6.\nAnswer: 121\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*v**3*x**3 - 4501*v**3*x**2 + 177*v**2*x**3 - 3*v**2*x**2 - 2*v*x**3 wrt x?\nAnswer: 42*v**3 + 1062*v**2 - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 divided by 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 299, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 486 and 9237078.\nAnswer: 27711234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11805, -47236, -106289, -188964?\nAnswer: -295261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39869269 or 39869271?\nAnswer: 39869269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-28) - (-2)\/(-4). Let s = -26 + 22.8. Let u = s - -2.8. What is the nearest to 1 in r, 1\/3, u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2752, 5582, 8412, 11242, 14072, 16902?\n\"Answer: 2830*o - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1461264 and -8.\nAnswer: 1.1690112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**2 + 124*r + 36. Let v be o(-41). Which is greater: -12.8 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 48\/51*(2 + -4 + 3). Which is bigger: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 0.7. Let l = 75 + -80. What is the nearest to -0.1 in l, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 5) to base 10\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 14 - 4. Let u(y) = -h*y - 1 + 1 + 3*y. Let p(a) = -a + 2. Suppose z - 6 = -5. Determine z*p(n) - 2*u(n).\nAnswer: -3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 25*l**2 - 51*l - 95. Give q(0).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/36*(-18)\/3)\/(824\/(-22866))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y - u + 23 = 0, 0 = 4*y + 4*u - 28. Suppose -4*g - 11 = -y*w + 1, 5*g = 2*w. Put 3, 0, g, -1 in descending order.\nAnswer: 3, g, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7591 is divided by 146?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 11. Let w be (0 - q)\/2 - 0. Find the common denominator of w + (1 - (-525)\/(-36)) and -79\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 24. Let u(q) = -20*q**2. Give u(j(w)).\nAnswer: -20*w**2 + 960*w - 11520","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1.1. Let k = s - -2.1. Let a = -55\/7 + 59\/7. Sort 0.1, k, a in ascending order.\nAnswer: 0.1, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 104*v + 3944. Calculate t(-34).\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3262 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 11 (b) 115 (c) -2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q - 15. Let b be v(5). Let f be 171\/(-15) + (-2)\/b. Let r = f + 26. What is the remainder when 42 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18616, -36959, -55302, -73645, -91988, -110331?\n\"Answer: -18343*n - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 9:56 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 143d + 182?\nAnswer: 15bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 424815*l*v + 457457*v wrt l?\nAnswer: 424815*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 3)*(-232*n**4 + 443*n**4 - 233*n**4) as i*n**4 + s*n + d*n**3 + q*n**2 + c and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1048215, 1048211, 1048211, 1048221, 1048247?\n\"Answer: a**3 - 4*a**2 + a + 1048217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of 209*h**5\/60 + 181*h**4\/24 - h**3\/6 - 308*h**2. Find the second derivative of y(p) wrt p.\nAnswer: 418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 - -0.1. Let x = 0 - 0. Let w = 4.99081 + 0.00919. Which is the nearest to 0.1? (a) w (b) s (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 28 + 30, -3*q - 2*s - 13 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 2*u**2 + 6*u + 10. Let m be i(7). Let n = -396 - -1006. Let p = m - n. Round p to the nearest 10.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 7099.146.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -21*l + 29*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2674179 or -7?\nAnswer: 2674179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - 6\/9*-69. Suppose 2*k = c + 67. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -19. Suppose -m - m + l + 83 = 0, 4*l + 80 = d*m. What is the greatest common factor of 105 and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1054, -4, -21, -2, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17827 is divided by 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.6750004869 + -6.675. Round m to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.53 (b) -3 (c) 291\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k**2 - 2*k**2 + 3*k**2 + (-3 + 0 - 2)*(k**2 - 2*k**2 - k**2))*(28 + 25 - 8) to the form a*k + m + w*k**2 and give w.\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 3 = -3*p + 3*u, 0 = 3*u + 9. Suppose 0 = -p*f - 3*g, 2*g + 15 = f - 2*g. Sort -2, -3, f in increasing order.\nAnswer: -3, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3429, -3428, -3427?\n\"Answer: g - 3430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -170 + 168.976. Let r = -8.2472 - w. Let s = 7.2 + r. Round s to 3 dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 575 and -19196?\nAnswer: 19771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*h + 125 + 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 5*c. Let f(t) = 7*t - 2*t**2 - 5*t + 3*t**2. Let h(k) = 5*f(k) - 2*l(k). Let p(r) = -8*r. What is p(h(b))?\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**3\/7 - 589432*k**2\/7 - 43427581440*k\/7 + 173719756800\/7 = 0. What is k?\nAnswer: -147360, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*m - 1038 = 0. What are the prime factors of (-2)\/(-7) + m\/(-21) + -5?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1588 and 121\/18.\nAnswer: 14292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8845*p**2 - 68302*p**2 - 79233*p**2 - 119111*p**2 - 83701*p**2.\nAnswer: -341502*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -375*h*o - 2*h - 12808*o wrt h?\nAnswer: -375*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -20*v**3 + 2*v**2 - 16*v - 2. Let i(d) = d**2 + d - 1. Let c(x) = 2*i(x) - n(x). What is the second derivative of c(p) wrt p?\nAnswer: 120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-10))\/(24\/(-20)))\/(3825\/(-408)).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*r**3 + 31*r**3 + 48*r**3 - 139*r**3 + 282 + 32*r**3.\nAnswer: 2*r**3 + 282","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + 2.7. Let k = 0.9 + l. Let a = 4.25 - k. Round a to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (49\/(-28))\/(1\/4). Let a = l - -5. What is the common denominator of 22\/3 and (-101)\/14 - a\/(-4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 10*a + 11*a = 0, -20 = 3*p - a for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.76 take away 5?\nAnswer: -22.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 - 120*g - 117. Let n be a(61). Suppose 5*t = -5*i + 120, 0 = 2*t + t - 4*i - 44. Solve 3*s = v - s + t, -s = -4*v - n for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/13)*k\/(k**(1\/6)*k))**(-37) assuming k is positive.\nAnswer: k**(259\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w. Let m(b) be the second derivative of b**7\/2520 - 5*b**4\/12 - 8*b. Let u(h) be the third derivative of m(h). Determine u(y(z)).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/72167030 and 7\/130?\nAnswer: 72167030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -92? (a) -2\/4155 (b) -1\/3 (c) -2.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.12915 centuries to decades.\nAnswer: 431.2915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*c = -3*c - 78, 3*q = 2*c + 75. Calculate the highest common divisor of 243 and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99885096 to the nearest integer?\nAnswer: 9994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 573, 1143, 1713, 2283?\nAnswer: 2853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u = -12. Suppose -4*t - 2 = -u*t. Let j(a) be the third derivative of -a**6\/120 - a**5\/20 + a**3\/6 - a**2. Give j(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 29*c + 5 + 68*c - 24. Suppose -2*l = -2*r + 4, -7*l + 8*l - 4 = 0. Is u(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 31*i + 102. Let f(p) = 12*p + 35. Let z(w) = -3*d(w) + 8*f(w). Give z(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 251*c**4 - 2*c**3 + 6*c**2 + 35*c + 75153018 with respect to c.\nAnswer: 1004*c**3 - 6*c**2 + 12*c + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 640963569 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 14. Let s be b(4). Does 24 divide s*(-11 + 4 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*q**5 - 81965*q**2 + 1303767*q.\nAnswer: 420*q**3 - 163930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2038006?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*u**2 - 5*u - 24*u**2 - 22 - 18*u**3 - 27*u**2 + 72*u**2 + 3*u as g + y*u**3 + k*u + p*u**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 613 - 224430?\nAnswer: -223514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -490 * -9.\nAnswer: 4410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/6535 and -20\/1851?\nAnswer: 12096285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 - 3*o**3 + 0*o**3)*(-6*o**2 - 2*o - 8 + o**2 - 5).\nAnswer: 10*o**5 + 4*o**4 + 26*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (0 - (-5 - -3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s - 5760 = -5733 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5\/i**(-3\/5))**(9\/7)*((i\/(i\/i**(2\/9))*i)**9)**(-7\/5) assuming i is positive.\nAnswer: i**(-41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 - 4*f**3 + 7*f**3 + (2*f**2 - 24*f**2 - f**2)*(-f - 3*f + 3*f) + 0 - 2*f**3 + 0.\nAnswer: 23*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1. Let s(q) = 2*q - 8. Determine -18*m(u) + 2*s(u).\nAnswer: 4*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -24, 202 in ascending order.\nAnswer: -24, -16, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -d + 1. Let m(z) = -z + 11. Let g(f) = -m(f) - 3*t(f). Let a be g(10). Solve -5*r + 5 = a*i, 1 = -5*r - i + 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172518311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1538 + -1542. Let h(f) = 4*f + 1 - 1 + 3*f**2. What is the units digit of h(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 12\/25 of a gram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-84)\/8)\/((-2)\/40). Suppose -97*r + 91*r + s = 0. What is the remainder when r is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2\/45))\/t**(-8))**(-3\/10) assuming t is positive.\nAnswer: t**(-403\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**4\/12 + z**3\/2 + 3*z**2\/2 + 2*z. Let a be i(-2). Solve -p = a - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7.3 in -1.2, -110, 2\/13, 0.5, -1?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 694403003.\nAnswer: 7, 99200429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**22\/p**(-16\/5) assuming p is positive.\nAnswer: p**(126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 518821962 a multiple of 602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from coocccoccoc. What is prob of picking 1 c and 2 o?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**3 - 2*o**3 - 5*o - o.\nAnswer: 2*o**3 - 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 6\/11, -1\/5, 0.2?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-128784)\/2904*-11 + (-8)\/(-44). Calculate the greatest common factor of y and 610.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y, -q + 0*y - y = 78. What are the prime factors of 0\/2 + (23 - q)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 4*x - 22, -725*q + 21 = 3*x - 728*q for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z + 2*z - 4*z + 5*z. Let p(x) = 640127 + 640127 + 74*x - 1280254. Calculate p(r(f)).\nAnswer: -74*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 17*c**3\/6 - c**2\/2 + c. Let z be k(-1). Let x = -3 - z. Calculate the greatest common divisor of x and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1023774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s + 9810 = 24*s. Suppose 8335 = 3*f + x, 3*f - 2*x - s - 5071 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(32\/17 + 28\/238). Factor 37*i + 19 + 52*i**2 - 3 + 24*i**3 + z*i**4 + 11*i.\nAnswer: 4*(i + 1)**2*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 5*w**5\/3 + 190*w**4\/3 + 625*w**3 + 6410*w**2\/3 + 3520*w\/3 - 4000 = 0.\nAnswer: -25, -6, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 631479 divided by 3.\nAnswer: 210493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13.9 (b) 2\/9 (c) -4 (d) -2\/3 (e) 0.1 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 682*a - 680*a - 7 = 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79.109 + -0.109. Let x = t + -79.1. Which is the nearest to x? (a) 0.4 (b) 0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a**2 + 5*a - 2. Let t be i(-2). Let k(s) = 2*s - 7. Let h be k(13). Differentiate t*p - 4 - h + 4 with respect to p.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -689*z + 3064. Let h be u(-26). What is the greatest common factor of 34 and h?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 9) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 800105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-147)\/98*40\/(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(153) - (sqrt(153)*2 + sqrt(153)) - sqrt(153)))\/((sqrt(81) - sqrt(81)*-1)\/sqrt(9) + sqrt(9)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 183690399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -42 from -3238807527423.\nAnswer: -3238807527381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 - 38 - (4 + -14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.493441 + -0.493. Round n to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2323*p**2 + 4856*p wrt p.\nAnswer: -4646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by -4338.\nAnswer: -14\/2169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1528*q - 28168 = -1542*q. Is q != 2013?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + m**2. Let i be x(1). Suppose i = -3*h - 11 + 23. Solve -2*c = -k + 6 - 18, 0 = 3*c + h*k - 7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548036 is divided by 28843?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3982824 by 3.\nAnswer: -1327608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13627\/12 - -2275\/2. What is the common denominator of (22\/15)\/(91\/455) and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(1377) - (sqrt(1377) + 4) - sqrt(1377)) + -3)**2 - (3 + sqrt(1377) + -3)).\nAnswer: 585*sqrt(17) + 7130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64184 = -90*k + 82*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(1 - 2*v - 1)*(11 - 143 - 67).\nAnswer: 796*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 7. Suppose -3*a + 0*n - t*n = -63, 3*a - n - 63 = 0. Calculate the remainder when ((-10)\/(-4) - 0)*16 is divided by a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 962 - 1839 - b + 1024.\nAnswer: -b + 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19510055 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 <= -6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21962 divided by -2?\nAnswer: -10981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*w**2 - 9755 + 0*w + 0*w + 9754 as p + d*w**2 + h*w and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s - 12*s**3 + s + 2*s**2 + 0*s + 30*s**3 + 5*s**4 - s as b*s**4 + j*s**2 + n*s + g + l*s**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cn when two letters picked without replacement from djqcncsjd.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -acb7cd + -1?\nAnswer: -acb7d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*u - 80 + 80 in the form o + h*u and give h.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*x**2 - 48*x + 26*x + 24*x.\nAnswer: -44*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.693999603 - 3.694. Round r to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/2*(-3)\/((-6)\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r**(-3))))**(-23) assuming r is positive.\nAnswer: r**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.26 + -10.26. Let r = -709681334 + 709681342.99999981. Let b = r + i. What is b rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3356 is divided by 517?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**3\/3 - 383416*s**2\/3 - 4217762*s\/3 - 10736264\/3 = 0. Calculate s.\nAnswer: -7, -4, 191719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, u: 7}. Give prob of picking 2 u.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 235295 + 0.\nAnswer: 235295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1477000 to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (2 - 3\/3). Suppose w*p - 186 = -3*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 50*o**2 + 102*o + 119. What is r(52)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 10:02 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) -0.2 (c) 0.1 (d) -10\/21 (e) -2 (f) 0.5 (g) -158\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -0*l + 2*p - 223808, 4*p = l - 55943. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p + 18. Let k be t(6). Suppose -3*w - 4 = -4*g, 0 = 3*g - 2*w - 4 + 1. Suppose -z + 3*z = 0, -5*z - 5 = -c. Sort k, c, g in decreasing order.\nAnswer: c, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 614 minutes after 9:30 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 0 + 0*k**2 + 1\/10*k**5 + 1\/6*k**4 + 9*k - 1\/3*k**3 - 1\/15*k**6. Find r, given that a(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 10:48 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*j + 224*j = 2*t - 4, 2*j - 5*t - 2 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/21 + (-156)\/(-90)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 9*p - 9. Let r be j(7). Solve 4*w + 11 = -r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.3 - 1. Let j = -593\/7 - -85. Which is the biggest value? (a) -2\/11 (b) w (c) j (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30 + -72?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -t**3 - 262*t**2 - 1550*t - 5310332 wrt t.\nAnswer: -3*t**2 - 524*t - 1550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33982519.\nAnswer: 29, 1171811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -48338, -49739, -51140, -52541?\n\"Answer: -1401*p - 46937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101111100001 + 101?\nAnswer: -11101111011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 w when two letters picked without replacement from {m: 3, w: 9, k: 7}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -29*p**2 - 11*p - 2. Let h(s) = 14*s**2 + 5*s + 1. Let z(g) = 7*h(g) + 3*u(g). Suppose 3 = -3*l - 0. Let v be l + 0*2\/(-4). What is z(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 8) to base 2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 - -211?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 - (2 + -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22971 is divided by 7402.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2100 + 482 = -2*l - 4*c, 2*l + 2576 = -c. Round l to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 49 and -5040?\nAnswer: -246960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 11:24 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of w**4\/4 + 159*w**2\/2 - 2254*w + 753. Differentiate z(t) wrt t.\nAnswer: 3*t**2 + 159","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1487, 1484, 1481, 1478?\n\"Answer: -3*h + 1490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/5)\/(((-21)\/45)\/(336\/864))?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 31*y - 136 = -415 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = 5*y - 86. Suppose -2*d = 0, 3*d + 8 = 7*i - y*i. Let j be 1\/4 - (-121)\/220. Do j and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 47884907 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937001589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 439348 or 1318043\/3?\nAnswer: 1318043\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(3\/53)\/(t*t*t**(1\/6)*t*t)**(6\/5) assuming t is positive.\nAnswer: t**(-268\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 55151936 divided by -3446996?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 4*m**2 - 4*m - 2. Let q(s) = -s - 11. Let g be q(-5). Let z be n(g). Let w = z + 75. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.200677 and 4.27.\nAnswer: 4.069323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 3 (c) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111100001101010000 - -101?\nAnswer: -101111100001101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17965, 72390, 163283, 290650, 454497, 654830?\n\"Answer: j**3 + 18228*j**2 - 266*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 20967423 times -0.2\nAnswer: -4193484.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11732 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 10*b - 4. Is 4 a factor of u(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-46)\/(-8) + (-1)\/(-4). Let a be (d\/21 + -1)*1. Let m(p) = -2*p - 8. Let v be m(-3). Which is bigger: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11741*z**3 + 5273*z**3 + 9079*z**3.\nAnswer: 2611*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-3) + 52\/(-6))*(-16)\/(-336). Let j = 95 - 44. What is the second biggest value in f, j, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-18))\/((-100)\/450)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2 + 2*t + 2. Let v(k) = -33*k - 8 - 13 - 48*k**2 - 12. Calculate -33*o(l) - 2*v(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25530540 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 194*g**2 + 6 + 4 - 100*g**2 - 93*g**2 + 14 - 3*g**3 to d*g + l*g**2 + h + w*g**3 and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*f - 5*f - 46, -61 = -5*t + 3*f. Solve -v = -2*n + 7, 15*v = 3*n + t*v - 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 92*i**2 - 58*i + 3. Let u(y) = 29*y**2 - 19*y + 1. What is -7*u(q) + 2*w(q)?\nAnswer: -19*q**2 + 17*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4 - 24*l**2 - 202*l**2 - 9525*l**5 + 4277*l**5 + 12 - 7869*l**5 + 2*l wrt l?\nAnswer: -787020*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18\/(-12))\/(326\/(-80) - -4). Suppose 0 = -4*k + l + 12, 0 = -k - 18*l + y*l + 3. Solve 5*i + 15 = -5*q, i = -k*q - q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -18*w**2\/13 + 2202648*w\/13 - 67384141832\/13 = 0.\nAnswer: 183554\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20894?\nAnswer: 2, 31, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.837 and 0.04.\nAnswer: 0.07348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*r**3 + 15*r**3 + 13*r**3)*(-1 - 4 + 3 + (-4 - 1 + 3)*(-2 + 3 - 2) + 3 + 1 - 2).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 166. Let z = 139 + c. What is the closest to z in 0.4, -4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/((-319)\/(-66)) + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 56 = -3*w, 381440*o - w = 381416*o + 1636 for o.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-12)*-10*18\/8. Let k = 62 + t. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 - 114*a**2 - 5781*a + 221892.\nAnswer: 3*(a - 41)**2*(a + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -156*j*n**3 + j*n - 3060*n**3 + 4 wrt j?\nAnswer: -156*n**3 + n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + (64 - 35) - (-5 - ((5 - 6) + -5))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 5)*(f + 16*f + 140 - 141)*(0*f - 3*f + 5*f) as h + b*f + t*f**2 and give t.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83 + -56. Solve 4*d = -5*u, -4*u = -5*d - x - 14 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + (sqrt(84)*2 - sqrt(84))*-5 + 4*sqrt(84)*-2)*-2)\/((4*(sqrt(48) + sqrt(192)))\/(sqrt(4) - sqrt(48)\/sqrt(3))).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqhqhh. What is prob of picking 3 h and 1 q?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11596, -23183, -34770, -46357?\nAnswer: -57944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-5))\/((21\/(-9)*6)\/(-7)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4588, -9199, -13810, -18421, -23032, -27643?\n\"Answer: -4611*y + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 692230.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/5 and -29\/29857.\nAnswer: 149285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1372756265 to the nearest integer?\nAnswer: 37051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -31121.9 rounded to the nearest ten?\nAnswer: -31120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 12:39 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 21 = 5*u, -1296*v = 2*u + 1299*v - 2593*v + 8 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 131 + 9134?\nAnswer: 9265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 - 31. Calculate the smallest common multiple of o and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 42 = 6*d. Let m(z) = -z**2 - 15*z - 12. Let q be m(d). Solve 3*r - 8 = -q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -14001014220?\nAnswer: 14001014224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43041483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1917 * -1372\nAnswer: 2630124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1389 + 8365\/6. Calculate the common denominator of -37\/3 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-2) + -3 + 1. Which is the nearest to v? (a) -1 (b) -0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.46? (a) 0.4 (b) 16 (c) -1 (d) -2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 3364?\nAnswer: 23548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*z + 3275 - 3275 + 1023*z in the form f + x*z and give x.\nAnswer: 974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 146, 559, 1242, 2189, 3394, 4851, 6554, 8497?\n\"Answer: -h**3 + 141*h**2 - 3*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 1. Let u(m) = m**2 - 7*m - 2. Give 6*t(w) - u(w).\nAnswer: -w**2 + w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -23582*g + 3573. Let d(u) = 4715*u - 715. Let m(q) = -11*d(q) - 2*w(q). Differentiate m(c) wrt c.\nAnswer: -4701","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 216 by 4.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 3*w - 9, 1259*b - 1258*b - w + 1 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 - 1245*i**3 - 390606*i**2 - 1929440*i - 2306400.\nAnswer: -(i + 2)*(i + 3)*(i + 620)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 332\/3 + -1786\/15. What is the common denominator of y and 3\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-73 - -60) + (1 - -19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1367, 2732, 4105, 5492, 6899, 8332, 9797, 11300?\nAnswer: 12847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/1015)\/((15\/90)\/(-2*(-400)\/192))?\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0.5, 25, -4, 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34622 - 51994 = -27*l. What are the prime factors of l?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1544215 (base 8) to base 4\nAnswer: -1230202031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81550 is divided by 7526?\nAnswer: 6290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*h + 17 = 0. Suppose -2*u - h = -4*i + 3*u, 0 = 5*i - 5*u - 20. Solve -i*l + 18 = 5*z + 55, 14 = -2*z - l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - u - 5 = -5*g, -5*g = -5*u + 55. Let r be (-1 - -5) + -1 + 1. Calculate the highest common factor of r and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 11*d - 35. Let h be o(-14). Solve 5*b + h = -13 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2263801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 3:42 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -333. Let m = o - 296.99. What is m rounded to one dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1785783 divided by -3\nAnswer: -595261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.21 + -2.79. Put 0.5, g, -0.038 in increasing order.\nAnswer: g, -0.038, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - s - 1 = 0, -s + 7 = -d + 4*s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 40, 141, 334, 649, 1116, 1765, 2626?\nAnswer: 3729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8686642m to kilometers.\nAnswer: 0.0008686642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2703, 2631, 2559, 2487?\nAnswer: 2415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 371950.4 centuries?\nAnswer: 37195.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11739 - 11601. Calculate the remainder when 5793 is divided by l.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8308, 8647, 9614, 11533, 14728, 19523, 26242, 35209?\nAnswer: 46748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 23. What is the units digit of 12*u - (-5 - -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 152 + -104. Let b = x + -48. Sort 1, b, -3, 5 in increasing order.\nAnswer: -3, b, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 2*z**2 - 4*z + 3. Let w be m(3). Solve -5*a + 21 = 2*b - 10, w = a + 5*b - 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-14)\/(84\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14251 by 14931.\nAnswer: -14251\/14931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 8. Let u(o) = o - 3. Let h be u(s). Suppose h - 16 = 4*t. Which is the second smallest value? (a) -2 (b) t (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/14? (a) 0.1 (b) -3 (c) 4 (d) -6 (e) 26 (f) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4 + 18146*y**3 - 80280481*y**2 - 18498467904*y - 1039225291776 = 0.\nAnswer: -111, 9184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-15\/2)*n\/(n*n\/((n\/(n\/((n*n**(-2\/5))\/n)))\/n))*n**(-3\/13)*n\/n**(-2\/31) assuming n is positive.\nAnswer: n**(-36537\/4030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00051492062 to 6 decimal places.\nAnswer: 0.000515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74 and 296?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 149521 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -279808 divided by 8744?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1347?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 + 32. Let a = 68 + -37. Suppose -c = -4*s - a. What is the greatest common divisor of s and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87 (base 13) to base 5\nAnswer: -421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4630, -4581, -4498, -4381, -4230, -4045?\nAnswer: -3826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -96616\/5 greater than -19322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 40 = 4*m. Let u = 8 + m. Solve 0 = -r - u*r - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, q: 1, h: 1, y: 1, u: 1, a: 2}. What is prob of sequence wq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 317.92 rounded to the nearest 10?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 908 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 8) to base 5\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -31.859 from 0.854.\nAnswer: 32.713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -p - 67, -35 = -0*u - 2*u + p. Suppose 3*m - u = 2*m. Suppose j - m = 5*j. Sort j, 3\/4, 0.1 in decreasing order.\nAnswer: 3\/4, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004174203 rounded to 6 decimal places?\nAnswer: -0.004174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5495094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7020 (base 12) to base 15.\nAnswer: -38d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 300504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 12*w**2 + 14*w - 35. Let v be q(11). What is the tens digit of (-2)\/1*65\/v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2. Let n = -178607\/24 - -7442. Let l(t) be the third derivative of 0*t + 23*t**2 + 0 + 0*t**3 - n*t**4. Determine h(l(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 5*o. Let l be d(4). Suppose 2*m - 8 = j, -2*m + j = -l*m. Suppose 0 = 4*n - 3*z - 255, -n - 3*z + 35 = m*z. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*y - 33, -3*x - 5*y + 27 = -2*x. Let g be 2\/(-4)*(16 + -16). Suppose g*z + 3*z - 15 = 0. Solve z*h + 2*j - 8 = -3, 5*j = x*h - 31 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5*w**5 - 6*w**4 - 36*w**3 + 56*w**2 = 0?\nAnswer: -14\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qyyyqzq. What is prob of picking 1 q and 3 y?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 680170694 - -3?\nAnswer: 680170697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = -784*j + 801*j - 1. Let x(k) = -k**2 + 14*k - 35. Determine x(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*o**3 - 6*o + 551 with respect to o.\nAnswer: 48*o**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - t + 2. Let n be x(-2). Suppose -s + 803 - 179 = n. Suppose 3*f - 1880 = h - s, 5*f - 3*h = 2092. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 3 - 1)*(-2 + 2 + 1)*(-9*r + 9*r + 6*r)*(1 - 1 + 2) + 8 - 8 + r to u + h*r and give h.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2480 - -2487. Let r(m) = m**3 - m**2 - 1. Let b(i) = -5*i**3 - 2*i**2 + 6*i + 6. Let d(g) = b(g) + 6*r(g). Calculate d(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus -2437.3683?\nAnswer: 2437.5683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -17, -50, -99, -164, -245?\n\"Answer: -8*c**2 - 9*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (66\/(-14) - 4\/14) + 27. Find the second derivative of -228 + 226 - i*m - 20*m - 35*m**4 wrt m.\nAnswer: -420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen fifths of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 58.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4930297872?\nAnswer: 2, 3, 349, 294311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 - (-35)\/(-7))*(-62)\/4. Let t = 36 + g. Suppose t*u - 2*u - 24 = -4*z, -5*u = -3*z - 11. Round u to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 10*i**2 - 5*i - 4. Let g be p(9). Suppose 0 = -4*h + g + 48. Calculate the least common multiple of h and 1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 791030657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, -18, 4\/7, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k - 4. Let x(m) = -5*m + 62. What is -4*c(o) - x(o)?\nAnswer: 13*o - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19342859 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/10)\/((-33)\/66)*35\/63*-3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2658 and 1?\nAnswer: 2658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-1) + 2 + 0. Suppose 0 = -5*g - 24 + 64. Let p(v) = -v**2 + 6*v + 22. Let d be p(g). Solve -a*l + 2 = -d for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/7*w - 2\/7*w**2.\nAnswer: -2*w*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -42?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 885146, 1770295, 2655444, 3540593, 4425742?\nAnswer: 5310891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74 and 28675?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246 = 2*d - 5*w, -3*w = -10*d + 13*d - 411. Calculate the highest common factor of d and 589.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**5\/5 + 28*c**4\/5 - 8*c**3 - 448*c**2\/5 - 384*c\/5 = 0. Calculate c.\nAnswer: -6, -4, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**3 - 6*q**2 - 6*q + 30. Let g be y(4). Calculate the highest common factor of 6494 and g.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0*t + 3*t - 2*t)*(5*t + t + 0*t) to a*t**2 + f + m*t and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 0) + -9 + 4. Let z(v) = -v**3 - 3*v**2 + 3*v - 2. Let m be z(k). What is the nearest to 1 in -1\/2, 2\/5, m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101101110110 (base 2) to base 10\nAnswer: 2934","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/2889 and -51\/4.\nAnswer: 11556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -863, -687, -735, -1127, -1983, -3423?\nAnswer: -5567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*y - 23*y = -10*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19719820 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 140622168.9 rounded to the nearest 10000?\nAnswer: 140620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18955, -18928, -18901, -18874, -18847, -18820?\n\"Answer: 27*p - 18982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 106. Let r(u) = 38*u**2 - 5*u - 3*u**2 - 39*u**2 + 5*u. Calculate r(a(g)).\nAnswer: -4*g**2 + 848*g - 44944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*(1 + sqrt(720) + sqrt(720))*3 - (3 + sqrt(720))*3*-3)**2 + 2.\nAnswer: 196560*sqrt(5) + 5484422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 407*v**2 + 1 + 1 - 2.\nAnswer: 407*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1912, -1931, -1984, -2089, -2264, -2527?\n\"Answer: -3*u**3 + u**2 - u - 1909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(0 + (-2)\/6). Let h(c) = -2*c**3 - c**2. Let y be h(s). Let u = y + 19. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1001?\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a, 0 = -13*i + 9*i - 2*a - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*a**5 + 13*a**5 - 7*a**5 + (-9 - 2 + 8)*(4*a**5 - 2*a**5 - a**5).\nAnswer: 10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 186*a - 70*a = 185*a - 21650 for a.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33326 - -33341. Let h be (26\/3)\/((-4)\/(-270)). What is the greatest common divisor of p and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 594.1269 centuries?\nAnswer: 5941.269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 - -76. Let n be (2\/(-5))\/(5\/f). Let t(h) = -h - 3. Let d(u) = 2 - 2*u - 4 + u. Give n*t(b) + 3*d(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-155)\/7 + (-17)\/(-170)*(-90)\/(-63).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3717 and 69325.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 4) + 1 + -2 - -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2)*96\/(-12). Let a(i) = 22*i**2 + 13*i - 1. Does 13 divide a(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + -4 - (13 + -16)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1584.00002834 - -1584. Round i to 6 decimal places.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from etmmeymetttttmy?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gk when two letters picked without replacement from kkgnk?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -372 + 372. Solve 0 = -2*n - 3*o - 2, -3*o + 1 = -n - y*o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 + 28*w - 69. Let f be m(11). Let g(i) = -4*i - 1. Let n(k) be the first derivative of 3*k**2\/2 + 2*k + 9. Give f*n(h) - 2*g(h).\nAnswer: -h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 150622\/13 + -11576. Let g be 35\/6370*(1082 - -1) + 2. Let d = g - x. What is the common denominator of d and -21\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 967860 is divided by 40325.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 75*x**2 + 15*x + 6. Let w be q(-2). Suppose -w = -16*y - 7*y. Solve p - 2*d - 3*d - 9 = 0, 4*p - y = -4*d for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 760880 or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**3\/6 - l**2\/2 - l. Let g be z(3). Let m(n) = 91 - 93 + 2*n + 6*n**3 - 5*n**2 - 5*n**3. Determine m(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2846 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 2171091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 4*y - 20 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476014 is divided by 422.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16046 divided by 2.\nAnswer: 8023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-36)\/10 + (-4)\/10. Let d be 1*(i - -2)*-8. Suppose d = -2*l + 4*l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -7*y**5\/60 - 7*y**4\/12 + 5*y**3\/6 - 198*y**2 - 7*y. Let w(f) = 5*f**2 + 9*f - 3. What is 8*w(b) + 5*z(b)?\nAnswer: 5*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-4 - -7)*(-6)\/1. Suppose 4*m + 20 = 0, -4*p = -0*m - s*m - 106. Let i = -8 + 13. What is the remainder when p is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(a**3 - 2 + 2)*(1 + 13*a**2 + 0 - 17*a**2).\nAnswer: 4*a**5 - a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b**5\/13 - 34732*b**4\/13 - 115816*b**3\/13 - 10692*b**2 - 69502*b\/13 - 11584\/13 = 0 for b.\nAnswer: -1, -1\/3, 5792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 8*p + 10. What is the remainder when 118 is divided by o(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2304609 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*a**5*j**2 - 2*a**4*j**2 + 5*a*j**2 + 16 wrt a?\nAnswer: 500*a**3*j**2 - 24*a**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7894869737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51736771 is divided by 246.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 592.9206 months in years?\nAnswer: 49.41005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -600 - 26.\nAnswer: -626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 6*x - 3. Suppose 0*c + c = -5. Let f be z(c). Suppose -w = i - 4*w - 8, 14 = f*i - 4*w. Solve -i*m = -0*m - h - 3, 2*h - 5 = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 r when three letters picked without replacement from {r: 3, x: 5, p: 3, z: 2}.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/1401 and 49\/3141.\nAnswer: 1466847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*n - 79*n - 663 = 0. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**4 - j**2 - j - 1. Let o(s) = -s**4 - 6*s**3 + 6*s**2 - 2*s - 2. Let p(h) = 3*o(h) - 6*t(h). Factor p(g).\nAnswer: 3*g**2*(g - 4)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 772*z - 137 + 301 = 31*z - 1318 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*t - 131*t = 526 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 342 - 340. Is 68 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 * -0.4\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76599790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.16, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -51*c - 241. Let i be b(-17). Let w = -9392\/15 + i. What is the closest to 9 in -0.1, w, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a + 4. What is the tens digit of q(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65790200?\nAnswer: 2, 5, 7, 46993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -3, 3\/2, 2\/7, 160, 3, -4\/59, 1\/3?\nAnswer: 160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.015 + -0.015. What is the third biggest value in i, 4, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2644 + 10105 + 635)*(-3*h + 0*h + 4*h) + 0*h - 2*h + 0*h to the form s + a*h and give a.\nAnswer: 8094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -3*t**4\/4 - t**3\/3 + 1. Let g be u(-1). Suppose -g*f + 236 = 36. Calculate the greatest common factor of 20 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 - -15.17. Let j = q + -0.2. Let y = j - 20. Which is the nearest to 0.1? (a) -2\/9 (b) -0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3079637, 3079645, 3079653, 3079661, 3079669, 3079677?\n\"Answer: 8*i + 3079629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -77*u**6\/6 + 5*u**4\/2 + u**3 + 2*u + 17. What is the third derivative of a(g) wrt g?\nAnswer: -9240*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -71*f + 63*f + 64. Let n(t) = -t**3 + 6*t**2 + t - 7. Let w = -5 + 10. What is the remainder when n(w) is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.11 + -0.11. Let l = 7 + -11. Suppose -m + 32 = 2*g + 34, m - 4 = 2. What is the nearest to g in 2\/3, n, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1.4, 139, -0.064, 3\/13 in decreasing order.\nAnswer: 139, 1.4, 0.3, 3\/13, -0.064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = 47 + 1. Let b be (52\/(-10) + 6)\/(t\/15). Sort -1\/6, -0.2, b.\nAnswer: b, -0.2, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.9 times 0.3?\nAnswer: -2.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30333 is divided by 310?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10283 is divided by 4907.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 3.01333?\nAnswer: -2.71333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 59, 130, -3, -1.\nAnswer: -3, -2, -1, 59, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 129*d - 34*d - 40*d - 35*d - 1 + 8*d**2 in the form a + m*d**2 + o*d and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4)*j**0)**(5\/13) assuming j is positive.\nAnswer: j**(-20\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 12 - 8. Suppose c = t + a, 5*c + 7 = 6*c + 2*t. Suppose 0*d - 3*j - 327 = -d, -c*d + 5*j = -997. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*y - 52*y = -73*y - 420 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.50006 grams to kilograms.\nAnswer: 0.04750006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 8377*o**3 + 15*o**2 - 7*o + 22. Is x(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/787 - -203829\/1574. Let u = g - 130. What is the biggest value in -3, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 218308 + 73?\nAnswer: 218382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 818.5807um?\nAnswer: 0.0000008185807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27138 is divided by 35?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sssg when four letters picked without replacement from {m: 4, g: 8, s: 8}?\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1872)*-1 + (sqrt(468) - (sqrt(468) + -1) - sqrt(13)))*-6)**2 + 5)*2*4.\nAnswer: -7488*sqrt(13) + 633064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 633 = 7*n - 4*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-2 - -4) - 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003757374 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4942133171?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -14 - (7 - (2 - 0 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -2\/19, 5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -1 (b) 3 (c) -0.23 (d) -76 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26 times 383162?\nAnswer: 99622.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + -5.2. Suppose -f - 2*n + 0 = 16, 3*n = -5*f - 45. Let k be f\/(-10) - 3*(-4)\/(-12). What is the nearest to -3\/4 in -2\/9, x, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4810 by -36.\nAnswer: -2405\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 0.3, 5, -4, 16\/15, -15, 34?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 6*x + 76. Let c(j) = j**3 + 25*j**2 + 15*j + 26. Is c(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/13 at least 5264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2248433888?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 173609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7233*k + 14175 = 7800*k for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (14 + 12 + -5).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 2:55 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - -3) + -5 + 13 - -10. Solve 0 = y*j + 2*j - 36 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 35. Let q = 2 - r. Factor 3*k**4 + 7*k**2 + 2*k**3 - 6 - 8*k + 7*k**q - k - 4*k**2.\nAnswer: 3*(k - 1)*(k + 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -13*r + 99. Calculate m(10).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 474*t - 470*t + i = 1, 3*t = 3*i + 12. Are 31\/43 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 181701012 divided by 369311\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**3 + 5*d**2 - 665*d wrt d.\nAnswer: 12*d + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*a - 164 = -1332 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - 37. Put -0.2, f, -0.7 in decreasing order.\nAnswer: f, -0.2, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 11*u. Is u less than or equal to 7\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -52, -49, -46, -43, -40?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 10. Suppose 2*a = 0, -c*b = -a - 2*a - 1275. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 3*h + 20, 332*f = 334*f - 5*h + 48. Suppose -z + 20 = -5*z. Sort z, 7, -2, f.\nAnswer: z, f, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(26)\/sqrt(2)*-1*-3 - (sqrt(104)\/(sqrt(32)\/sqrt(4)) + 1 + -5).\nAnswer: 4 + 17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/661? (a) 0.13 (b) 0.3 (c) -0.1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 5*k - 8 = 0, -9*n - k + 2*k + 12 = -4*n - 6*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + -1 + -2*(sqrt(40)\/(sqrt(8)*-2) + sqrt(5) + sqrt(80)*1)**2).\nAnswer: 2035\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 63*n**2 + 121*n + 988. Calculate q(65).\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 475 - 336. Let o be 2\/(-7) + (-73083)\/(-525). Let t = j - o. Which is bigger: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 98*h**3 + 2*h**2 - 4*h - 6. Let r(w) = 294*w**3 + 7*w**2 - 14*w - 21. What is -7*b(x) + 2*r(x)?\nAnswer: -98*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425 is divided by 155.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 8 = -x - 11, 3*g + 3*x = 3. Suppose 0*s + 2*s = g. Factor 4\/3*v**2 - 2*v**4 - s*v + 4\/3*v**3 + 2\/3 + 2\/3*v**5.\nAnswer: 2*(v - 1)**4*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/108*(0 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(3 + -6 + 4). Suppose 2*i - 56 = -4*p, -4*i + p + 88 = n*p. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4\/2 - 131*b**3\/2 - 2833*b**2 - 41168*b - 38400 = 0. Calculate b.\nAnswer: -50, -48, -32, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9909, -19820, -29733, -39648?\n\"Answer: -a**2 - 9908*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 - 0.2. Let o = 0.31 + -0.57. Let y = o + 1.26. What is the second biggest value in -1, -0.3, y, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 + 43. What is the second smallest value in 3, -1\/2, l?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = q - 5. What is the units digit of -3*3*(0 - q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 4*h - 1. Let g be z(5). Suppose 0 = 2*k - 0*k + 4*x - g, -4*k + 218 = -2*x. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 - -45.03. Let s(q) = 2*q - 9 + 10 + q**3 + 0*q - 5*q. Let k be s(2). Which is the nearest to i? (a) k (b) -5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 9*b**2 + 8*b + 19. What is the units digit of r(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/13))**(-2\/33)*(n**3*n)\/((((n*n\/n**(4\/13))\/n)\/n)\/n))**(14\/11) assuming n is positive.\nAnswer: n**(2450\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in decades?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 108 = 2*x, -2*t = 5 - 1. List the prime factors of x.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.64 + 0.54. Let d = -1.194 + 1.164. Sort h, -1\/9, d in descending order.\nAnswer: d, h, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3290198?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 47, -3, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 12 + (8 - (-2 + -47)) + 10\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -423 + j**2 - 4*j + 1391 + 87*j + 91*j + 301 wrt j?\nAnswer: 2*j + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*g**3*w - g**2*w - 8*g*t*w - g*t - 11*t*w - 7*w wrt g?\nAnswer: 12*g**2*w - 2*g*w - 8*t*w - t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**8\/336 - v**7\/42 + v**6\/15 - v**5\/15 + 4*v**2. Let x(w) = 0. What is w?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 37*p. Let w(j) = 94*j**2 - 2. Calculate w(n(u)).\nAnswer: 128686*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 598255057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 115033978*u**2 + 80376098*u?\nAnswer: 230067956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 2*a + 85. Let z = 48 - 25. Let y = z + a. Solve 2*l - 5*k - 11 = y*l, 4*k = -l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c. Suppose -4*j + 25 = -3*z, -3 = 5*z - 8. Let o(b) = -22*b + 9*b + j*b. Give o(k(m)).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**2\/7 - 226*l\/7 + 286 = 0 for l.\nAnswer: 11, 91\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/3*((-9)\/(-6))\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -4 (b) 9 (c) -0.71 (d) -5 (e) -0.38\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-351)*3\/(-2)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2987107, 2987110, 2987123, 2987152, 2987203, 2987282?\nAnswer: 2987395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*p = -28, 20 + 36 = 3*v - 5*p. Let j be 90\/(-8)*(-24)\/9. What is the highest common factor of j and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2899, -5788, -8655, -11488, -14275?\nAnswer: -17004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbpkphppbkbpwbhpkbp. Give prob of picking 1 h and 1 p.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -666, -5226, -17606, -41718, -81474?\nAnswer: -140786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 296814 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 118?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y + 69. Let s be v(-14). Let a be (-18)\/s*(-27)\/(-54). Which is greater: a or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2212202 - 2111?\nAnswer: 2210021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -332 + 2?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366622.\nAnswer: 2, 17, 41, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 2*u - 6, 12*a - 5*u + 6 = 9*a. Solve -2*g = -a*g - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from {u: 2, m: 1, r: 4, g: 8}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-4))\/(6 - (-11)\/55*-10)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, b: 1, y: 3, h: 1}. Give prob of picking 1 y and 1 h.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 180386697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 521 times 15.335?\nAnswer: 7989.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 0*m - 3*m)*(m + 0 + 0) - 6*m**2 + 4*m**2 + 4*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 30 = 5*q, q - 3*q - r = -7. Suppose -12*u + 706 = 766. Sort -4, q, u in decreasing order.\nAnswer: q, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 375278720?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*z**3 - z - 22*z**2 + 53*z**2 - 30*z**2)*(0*z + z - 3*z) in the form y + i*z + c*z**4 + q*z**3 + b*z**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s**3 + 4*s**2 - 5*s + 3. Let m(c) = -c**3 - 4*c**2 + 0 + 5*c**3 + 4*c - 3. Let z(t) = -6*m(t) - 5*p(t). What is the units digit of z(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59131 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((0 - -4) + -1)\/(-1). Let b = 15 + -8. Let v = 7.5 - b. Sort v, -5, u.\nAnswer: -5, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103014 + -2?\nAnswer: -103021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3 = a - 3, a + 4 = 0. Solve 5*i = x*q + 27 - 7, -8 = -3*i - q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - 36. Let p = v + 7. Put 2\/5, -0.1, p in ascending order.\nAnswer: -0.1, 2\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 - (3 - (27 - -6 - 6) - (-24 + 13))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3896, -16149, -36788, -65819, -103248?\n\"Answer: -n**3 - 4187*n**2 + 315*n - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.144 and -0.001?\nAnswer: -0.000144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 10 = 0, -g + 4*j = 2*j - 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3))**9)**(-17)*(w*w*w\/w**2*w*w**(-1\/8))**23 assuming w is positive.\nAnswer: w**(4017\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*c + 79*c = -2144 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2e64e4 (base 15) in base 12?\nAnswer: -905514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**4\/42 + 4*g**3\/21 - 12*g**2\/7 - 135*g. Factor v(r).\nAnswer: 2*(r - 2)*(r + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -873.24 - -899. Let v = n - 27. Let x = v - -1.2399799. Round x to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1725, 14147, 48085, 114297, 223541, 386575, 614157?\nAnswer: 917045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -4)**2*2 + 3.\nAnswer: -16*sqrt(3) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.074 - 0.316. Let s = 0.38999992 + b. Round s to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6744, -14104, -21464, -28824, -36184?\nAnswer: -43544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 11*v + 171. Calculate the remainder when m(-14) 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 4505242854?\nAnswer: 2, 3, 7, 4861, 22067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -5*c + 2*k, -4*c - 2 = -9*c + 4*k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, t: 4}. Give prob of picking 1 t and 1 w.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*o + 31759, 3*g + 44*o - 31752 = 47*o. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 + 13 - 13 + g**3 - 7*g**3 + 4*g**3 + (-3 + 3 - 2*g**2)*(-3*g + g + 0*g) in the form n*g + z + i*g**3 + x*g**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2768.15 - 17\nAnswer: -2785.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3112859369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140353 (base 8) to base 4.\nAnswer: -30003223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/20 and 37\/1652.\nAnswer: 8260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 1396 = 1333 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9575 and 250?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109492211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 107\/(((-1)\/(-3)*3)\/(((-2475)\/55)\/45))?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*t + 4. Suppose 16 = m + 3*m, -2*a + t*m = 12. What are the prime factors of (-3)\/9*1*642\/a?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 39\/((-117)\/66).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1868*a**2 - 1806*a**2 + 3772*a**2.\nAnswer: 98*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11200 + -24?\nAnswer: 11121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19455*l**2*q**3*z**2 - 4200*l**2*q**3*z - 867*l*q**3*z**2 - 516*l*q**2*z**2 - 15*q**3*z wrt l.\nAnswer: -38910*q**3*z**2 - 8400*q**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12486074, -49944298, -112374670, -199777190, -312151858?\nAnswer: -449498674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 3*p - 12, 4*d + 2*p - 4*p + 8 = 0. Let s be (29 + -23)*(8\/(-9268))\/((-24)\/(-56)). Which is smaller: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/8 <= 0.31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157544 is divided by 400.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 20*z**2 - 16*z - 109. Let s be a(21). Which is bigger: -26\/7 or s?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/2)*d**(2\/9)*d)\/(d*d**(-6)*d\/(d**(-5)\/d*d)) assuming d is positive.\nAnswer: d**(-23\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188821 is divided by 339?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (624\/91 - 8)*14.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -63910 (b) -0.1 (c) 48 (d) -4 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-18))\/(1*5\/15)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v. Suppose 0 = -5*b - 3*m - 54, 3*m - 34 = 2*b - 2*m. Let j be (-3)\/18 + (-26)\/b. Let z(w) = j*w + 2*w - 2*w. Calculate p(z(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/21 + (58 - 50 - 38\/6)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.05 (b) 1722 (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -166*b**3*j**3*r + 56*b**3*j**3 + 612*b**3*j**2*r + 3*b**3 - 1309*b**2 wrt r.\nAnswer: -166*b**3*j**3 + 612*b**3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 10:26 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 78062 a multiple of 340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -19. Let h = -0.5 + 0.5. Sort -4, h, u in decreasing order.\nAnswer: h, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*j + 24. Let h = 12 + j. Solve 2*v - 4*z - h = 0, -v - z - 11 = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -7*z**2 - 10*z - 14. Let u(n) = 10*n + 7 + n - 6*n + 3*n**2. Let s(k) = 4*d(k) + 9*u(k). What is the smallest common multiple of s(6) and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -73 + 173. Let d = b - 100.61. What is d rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 311*u - 10963. Give d(-39).\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/4, -0.3, -2\/5 in increasing order.\nAnswer: -1, -2\/5, -0.3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - -1) + 0\/(5 + -3). Suppose -y - 4*y - b*c = -56, 0 = -3*y + c + 28. Are y and 8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 11*d**2 + 3*d + 9. Let b be z(-11). Let k be (-38)\/(-12) + 4\/b. Let p(j) = -5*j + 1. Calculate p(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 731668 and 392?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3268 - -4196. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 8 = j, -4*j + 1 = -t - 3. Suppose j = 2*s - 3*s + 2*l + 36, -2*l + 140 = 3*s. Suppose 3*n - 2*n = s. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 65750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -295 + 264 - (60 - -1).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) 89978 (b) 2 (c) 0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16782974, 33565948, 50348924, 67131902, 83914882?\n\"Answer: k**2 + 16782971*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 247 divided by -5?\nAnswer: -247\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (9 - (3 - 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mzzmzzzmmmmm. Give prob of picking 4 z.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 56*n**2 + 1672*n - 15936. Determine p(15).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k + 459 = 3*k. What is the greatest common factor of k and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 53000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i - 6*i + 24*i.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.24172 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 162235 = 373319. What are the prime factors of n?\nAnswer: 2, 29753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*m - 0. What is the greatest common factor of m and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/1575 and -94\/15.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -162.8 - 1101.2. Let j = t - -1264.00721. Round j to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*q + 3*j, 5*j + 8 = -2*q + 12. Solve -2*n + 6 = 0, 2*f = -0*f + q*n - 16 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -38, 3, -2 in ascending order.\nAnswer: -38, -2, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66432 by -4.\nAnswer: -16608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 411580640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*i - 4*s, 2*i - s - 23 + 20 = 0. Solve -h = h - i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*2*82\/(-164). Which is the smallest value? (a) h (b) -0.11 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 27\/(-6)*(-2448)\/324. Solve -h*x = -78*x - 88 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 6*t**2 - 2*t - 7. Let u(r) = r**2 + 4*r + 1. What is the remainder when u(-7) is divided by a(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87 - -153. Let l = q + -58. What is the second derivative of -3*w**4 + 4*w - w - l*w**4 + 8*w wrt w?\nAnswer: -132*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**5\/2 + 1050*u**4 - 365391*u**3\/2 - 369603*u**2.\nAnswer: -3*u**2*(u - 351)**2*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, -172, -237, -304, -373?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -110 + 256. Let z = s - 89. Round z to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 4. Let j be v\/11 + (-5958)\/(-22). Let p = j - 108. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 - 0\/(1 - -1). Let a = k - 2. Suppose -3*s = i - 2*i + 19, -4*i - 2*s = -a. Solve -2*d - b + 10 = 2*b, -3*b - 2 = -i*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q**2 + 43*q + 112. Let c be h(-4). Let d(f) = 3 + 3*f + f**2 + f**2 - 3*f**2. Give d(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8\/25 of a kilometer?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4\/5 + 2294*y**3\/5 + 20106*y**2 + 298890*y + 1487700.\nAnswer: 2*(y + 15)**3*(y + 1102)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 7. Let t = f - 0.8. Let y = -0.1 - t. Round y to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 19*y. Let p(l) = 3*l + 3. Let h(n) = 20*n + 1. Let d(j) = -h(j) + 6*p(j). Calculate r(d(c)).\nAnswer: -38*c + 323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 2*(-500)\/(-32)*4?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116780645.\nAnswer: 5, 23356129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1307919 or -1307924?\nAnswer: -1307919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21.386459 + 1.613321. Let g = 23 - w. What is g rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1464 - 1426.37. What is l rounded to 1 decimal place?\nAnswer: 37.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t + 17. Let u be w(5). Let n = 0.4 + -1.4. Let f = n - -1.5. Which is the second biggest value? (a) 2 (b) f (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*u - 4*v, 3*u - 5*v = -12 + 1. Let y(m) = -2*m - 5*m - 3 + m + 7*m. Determine y(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, z: 2, w: 7, p: 1, e: 3, y: 1}. Give prob of sequence wzw.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 12, 11, -2282 in descending order.\nAnswer: 12, 11, -3, -2282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 1 (c) -3\/5 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.51 + -1.01. Let l = -2.5 - k. Which is the second biggest value? (a) -1 (b) -0.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -h**2\/2 - 6*h + 2. Let t be n(-8). Let v = 10 + t. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-11 - 12) - 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/110 and 36\/7.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 1:22 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5*l + 2, 7*b = 2*b + 2*l + 38. Calculate the remainder when 21 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3086 + -12255\/4. Let t = -11507\/1518 - -174\/23. Let k = t + 941\/33. What is the common denominator of u and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*y**2 + 387*y + 12*y**2 + 12*y - 10*y**2 as p*y**2 + n + v*y and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1.3, -0.1, 5, 0.4?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*t + 565 = 0, 0 = -l + 6*l + t - 580. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2480*x**2 - 2994.\nAnswer: 4960*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 315 divide 60602163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013073307 to seven dps.\nAnswer: -0.0001307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26\/3? (a) -814102 (b) -0.5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 24. Is 25 a factor of 75 + (2 - 2)\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12575*t**5 - 1051*t**4 + t**3 + 4505241*t**2 wrt t.\nAnswer: -754500*t**2 - 25224*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-70)*(-55 + 63 - (0 + -2))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -109767, -109933, -110125, -110343, -110587, -110857, -111153?\n\"Answer: -13*i**2 - 127*i - 109627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yry when three letters picked without replacement from {y: 1, p: 4, r: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -560672.4994 rounded to the nearest one thousand?\nAnswer: -561000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 10*y - 42. Let m(q) = 189*q - 2205. Let h(p) = -7*p + 82. Let w(a) = 161*h(a) + 6*m(a). Give 5*n(s) - 7*w(s).\nAnswer: s - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 8:19 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -4, 0.1, 2, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4100 and (-10 + 15)\/((-3)\/(-240))?\nAnswer: 16400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 7700*v + 395274. Determine w(-51).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - -22?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.4115461 rounded to 2 decimal places?\nAnswer: -8.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 228 and 1596?\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**5\/60 - r**2. Let q(x) = -x. Let u(p) = 10*p. Let o(s) = -12*q(s) - u(s). What is j(o(l))?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/14)\/s**(-10))\/((s\/(s\/(s\/s**(-26))))\/((s\/(s\/(s**(-4\/5)*s)))\/s)) assuming s is positive.\nAnswer: s**(-1261\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1647363 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 45, -3\/10, -0.4, 37.9?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 (base 16) in base 11?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 280523 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12 - (24\/9)\/(2\/3). Solve d*p = 9*p + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1757 - 1241. List the prime factors of d.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.136 and 505.4.\nAnswer: -1079.5344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7803?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 682 is divided by 252.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 449576.\nAnswer: 2, 56197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4)*16 + 158. Is (-30)\/y - (-13646)\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3515593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*p = -10, u - 2*u + 3*p + 14 = 0. What is the lowest common multiple of 9 and 8\/(-40) + 36\/u?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295295 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 40973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*l - 45, 45 = a + 4*l + l. Let v = 47 - a. Let b(d) = -4 + 35 + 18*d**2 - 16*d**v. Let s(j) = -2*j**2. Give s(b(g)).\nAnswer: -8*g**4 - 248*g**2 - 1922","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 174 and 173652.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 7. Let y = 0 + o. Let j(d) = 3 + 13 - 17. Let m(s) = 2*s**3 - 2. Give y*j(w) - m(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3606 - -35 - (-4)\/(0 - 0 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*j**2 - 22*j**3 + 24*j**2.\nAnswer: -22*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2670 smaller than 2670?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -232 + 238 - 3*w - 26*w. Let s be z(-2). Suppose 3*o - 5*f - 23 = 0, -3*o - 2*f = -40 - 18. Calculate the greatest common factor of s and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 525496 by -6.\nAnswer: -262748\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**4 - q**3 + q**3)*(2*q + 3 - 3) + (6*q**5 - 6*q**2 + 6*q**2)*(0 - 1 - 2).\nAnswer: -16*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22005416 is divided by 889?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 15*t + 2. Let z be l(15). Let n(b) = 71*b**2 - 25*b**z - b + 40*b**2. Is n(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d - 2. Let q = -3 - -14. Let o(k) be the third derivative of k**4\/3 + 5*k**3\/6 - 33*k**2. Let g(z) = q*x(z) + 4*o(z). Determine g(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -771*i**2 - 10750059*i - 83658 = 0 for i.\nAnswer: -13943, -2\/257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3807 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/3)\/(1\/(-15)). Suppose 2*a - s*b = 5, 4*b = a + b - 1. Suppose k - a - 1 = 0. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12139778 and -0.05164.\nAnswer: 12139777.94836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14 (b) 141 (c) 34 (d) 1\/85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 59655 - -4?\nAnswer: 59659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(1*1\/(-49)). Let a(r) = 2*r + 3. Let c be a(1). Suppose 7*w - 4*w - 53 = -m, -k = -c*m + 5*w. What is the greatest common factor of m and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5*p. Let a(j) = 141355*j**2. What is n(a(v))?\nAnswer: -706775*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/35863?\nAnswer: 1\/35863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*x + 13 = -0*b, 0 = 4*b + 5*x - 40. Let n be (0 + 2\/b)*5. Let r = 4 + -2. Solve n = q - r*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 11999*q**3 + 6*q**2 - 4*q - 5. Let j be v(5). Round j to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -118, -1, -4.\nAnswer: -118, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x - 78 + 34 - 140 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31222*f - 4956 = -31576*f for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 8*p**2 + 3*p + 27. Let h(l) = -9*l + 37. Let y be h(5). Let w be a(y). What is the greatest common factor of 12 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-138)\/2254)\/(3\/(-7))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6536806 != 6536800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**4\/24 - 2*d**3 + 13*d**2. Let f be j(-16). Solve 0 = -a - f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31681000 to the nearest 1000000.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3388551 and 519.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 7. Suppose 2*p - 40 = 5*c, -2*p - 2*c + o = -2. What is the least common multiple of p and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a**2 + 16*a + 4. Let w = -30 - -34. Let u(c) = -5*c**2 + 17*c + 3. Let r(i) = w*g(i) - 3*u(i). List the prime factors of r(12).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 462 divided by -148.\nAnswer: -231\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 75367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (216\/84)\/(6\/28). Let u be (-4)\/1*c\/(-16). Suppose 0*q = 3*q + u*m - 1242, -1661 = -4*q - 3*m. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -149577 + 16603037\/111. Find the common denominator of r and 12\/(-27)*(-138)\/44.\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23\/7 in -1\/2, -1\/8, -0.4, 2.37, 2\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 200*j - 9699. What is v(-86)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (21 + -18)\/(6\/22). What is the highest common divisor of 44 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1275, 2409, 3543?\n\"Answer: 1134*v + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {n: 2, s: 8}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/z**(-1\/2))\/z)**(-10))**(-19) assuming z is positive.\nAnswer: z**285","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 39, -14, 5 in descending order.\nAnswer: 39, 5, 4, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 + k - 9 + (-k + 2 - 2)*(14 - 6 - 15).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, n: 2, b: 7, s: 4, u: 3}. Give prob of sequence uss.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -9*v - 55. Let f = 10 + 3. Let h = f + v. Solve -h*a - 25 = -3*l, 2*l - 7*l - 25 = 5*a for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -341.4 + 334.4. Is -61 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -897415 by -897415.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 187829 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-5 + -1 + sqrt(19) - (sqrt(931) + 1 + sqrt(931))) + (-2 + sqrt(304) - sqrt(304)) + sqrt(304) + 3)**2.\nAnswer: 108*sqrt(19) + 1572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -16. Let q be 39*(0 - (-7)\/91). Solve -q = -g - s for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*t - g, t + 4*t = -g + 63. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18280704 divided by -14648.\nAnswer: 1248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 604.\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-144*u**2 - 101*u**2 - 8 + 20)*(2 - 2 + 1).\nAnswer: -245*u**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 416386 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -9, -s + m + 3*m - 8 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 52 - 242 = 0. Let j = o + 64. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**9\/6720 + 7*p**6\/240 - 4*p**5\/15 + 6*p**2. Let k(x) be the third derivative of l(x). What is the derivative of k(d) wrt d?\nAnswer: 27*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**5*z**2 + 7*l**2*z**2 + 13*l*z**2 - l*z + 5*z**2 wrt l?\nAnswer: 40*l**3*z**2 + 14*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + w**2 + 6*w - w**3 + 7 + 10*w**2 + w**3. Is t(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -15894821*a. Let b(f) = 2*f. What is z(b(w))?\nAnswer: -31789642*w","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 12455334 = -833*x + 8479*x. Let q = 209 - 141. What is the remainder when x is divided by q?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -148 - -293. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f**2 - 38*f - 38. Let k(q) = -2*q**2 + 13*q + 13. Let d(m) = -3*b(m) - 8*k(m). Calculate d(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147\/2*x**2 + 84*x - 24 = 0 for x.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.07 - -0.02. Let o = -0.03 + 0.03. Suppose -54*z = 155 - 47. What is the nearest to o in z, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -188 + 204. Calculate the smallest common multiple of v and 2680.\nAnswer: 5360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -216 + 215.8. Let i = -2 - -2.5. Which is the nearest to o? (a) 3 (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -445*p + 173160 = -427*p. List the prime factors of p.\nAnswer: 2, 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -957, -1916, -2911, -3960, -5081?\n\"Answer: -3*t**3 - 938*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13632 and 923?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36642 - -109928\/3. Which is the nearest to -2? (a) -4\/5 (b) 3.8 (c) r (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 20*j - j + 15*j - 2*j - 5*j. Let h(f) = 4*f**2. What is r(h(c))?\nAnswer: 108*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/((-2124)\/(-3968)) - 0. Let k = u - 16\/59. Factor -2\/3 + 3*b**3 + k*b**2 + 5\/3*b.\nAnswer: (b + 1)**2*(9*b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10112022002 (base 3) in base 15?\nAnswer: -158b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - d**2 - 1. Suppose 0 = 4*p - p. Determine g(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3630*g - 17400 = 3780*g for g.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -56328.74995 to the nearest integer.\nAnswer: -56329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -106 + 132.6. Let k = t + -26.7. Let g = -2.5 - -3. What is the fourth smallest value in -1\/3, k, g, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i + 9 = x + 28*i, -x = -i + 3. Let c(f) be the second derivative of -2*f - 1\/2*f**2 + 1\/6*f**3 + 0. Determine c(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2773 is divided by 76?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (255\/187)\/(((-26)\/39)\/((-8)\/15))?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**2\/2 - 14*h + 45. Calculate z(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/9))**(-2\/29) assuming w is positive.\nAnswer: w**(-4\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 30, 71, 136, 225, 338, 475?\n\"Answer: 12*k**2 + 5*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 738\/13 (b) 5 (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308632 is divided by 287.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - -0.3. Let o = n - 0. Let z = 2 - o. Which is smaller: z or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41552 and 263032.\nAnswer: 27881392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 107 + (-3 + 3 - 0). Suppose c - 3*l = r, -6*c = -8*c - 5*l + 236. Let p = 387 - c. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(343)*1)**2.\nAnswer: 3087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (((2 + sqrt(11))*-3*-5)**2 - sqrt(88)\/(sqrt(72)*-1)))*1.\nAnswer: 2701*sqrt(11)\/3 + 3371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 - 3*c)*(-5*c + 2*c - 11*c) as r*c + i*c**2 + n and give i.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y + 53*y + 44*y - 4*y + 38*y + 25*y.\nAnswer: 141*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 + q + 10*q - 11*q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -17) + (14 - (-1 + 17)) - 6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**2 + 325*q = 0 for q.\nAnswer: 0, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 5*f - 8 = -2*f, -4*z - 38 = -6*f - 84 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19128 - -19197. Calculate the least common multiple of d and 822.\nAnswer: 18906","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 1\/12*n**4 + 1\/3*n**3 + 0*n + 5 + 5\/2*n**2. Let p(m) be the second derivative of f(m). What is p(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**4*i + 710*b**4 - 12*b**3*i - 8*b**3 - 14*b**2 + b*i + 1692*i wrt b.\nAnswer: -72*b*i + 17040*b - 72*i - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 318714 to the nearest 10000.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61318 - -550846\/9. Let n = m - -116. Let w = -894 + 897. Is n bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5179 = -2351. Let f = 3077\/2 + x. Calculate the common denominator of (45\/(-6) + 5)*9\/2 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4*c\/c**(-6\/7))**25 assuming c is positive.\nAnswer: c**(1025\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (644\/8 - 4) + ((-9024)\/(-128))\/47\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 l, 1 e, and 1 a when four letters picked without replacement from lhhehrarlearelhe?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vc when two letters picked without replacement from xvhhxhchvhhvhx?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -5511?\nAnswer: -5516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m + 6. Let w(c) = -3*c - 7. Let q = -8 + 9. Suppose -5*g - q = 34. Give g*f(x) - 6*w(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 78?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20237237*t + 65544650.\nAnswer: -20237237","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4640*l*t*u*y + 2220*l*t*y - 5*l*t + l*u*y - t*y + 6*u*y - 2*u wrt u.\nAnswer: -4640*l*t*y + l*y + 6*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 48, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 divided by -10.\nAnswer: 69\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 8*b - b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5801904 rounded to the nearest one hundred thousand?\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25*n**4 - 21*n**4 - 15*n**4 + 6 + 6 wrt n.\nAnswer: -44*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 7*h + 4. Let c(z) = -7*z - 5. Give 3*c(p) + 4*m(p).\nAnswer: 7*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 119 + -116. Suppose 0 = 2*n + t*y - 19, -4*n + 0*y + 23 = y. Solve -5*a = -n - 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-6) + 40 + -40)*-18*1. Let l(y) = -8*y + 5. Let r(t) = -9*t + 6. Let x(c) = 9*c - 6. Let k(o) = -4*r(o) - 3*x(o). Determine m*l(h) - 5*k(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**4 - 1 + 1)*(-3 + 1 + 4)*(-7 - 16 + 21)*((-5 + 1 - 3)*(1 + 3 - 3) - 2 + 4 - 1).\nAnswer: 120*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70 - -21. Calculate the common denominator of -81\/4 and ((-468)\/(-98))\/(28\/d).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*q + 14 - 14 + 3*q - 3*q - q + q + 5*q - q + (1 - q - 1)*(4 + 0 - 2) + 2*q - 3*q - q + 1 - 1 - 2*q.\nAnswer: -17*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101 - 246 - 55 - 340)*(-3*w + 2*w + 10*w).\nAnswer: -6678*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*70\/(-40)*11\/14*(-4896)\/(-1496)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 39, 115, 263, 507, 871, 1379, 2055?\nAnswer: 2923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -5\/24*z**4 + 0*z + 0 + 11*z**2 + 1\/12*z**5 + 5\/3*z**3. What is the tens digit of y(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(95)\/sqrt(5))**2 + 1.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303*a - 293*a = 119330. Let x = -46 + a. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xooxxxoxxoxoolok. Give prob of sequence ook.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 4. Suppose 9 = g + 5*u, -4*g + 5*u = 19 - 5. What is the remainder when 23 is divided by g\/j*2*-4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 6 - 22*k - 17*k + 24*k.\nAnswer: -15*k + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 v when two letters picked without replacement from gevxvvxlxl?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - -0.3. Let j = -13\/40 + 3\/40. Let c = -73.5 - -73. What is the biggest value in h, c, j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 8*o**2 + 4*o + 64669. Let r(c) = -4*c. Give r(x(i)).\nAnswer: -32*i**2 - 16*i - 258676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5573013273.960769 + 5573009693. Let t = 3628.9608 + v. Let o = t - 48. What is o rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -156 - -158. Let x(g) = t*g - 8*g**2 + 4*g**2 + 10*g**2 - 19*g + 32. Let z(a) = -2*a**2 + 6*a - 11. Give -6*x(b) - 17*z(b).\nAnswer: -2*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 225 = 5*z. Let j = z + 48. Let y(n) = 3*n**2 - 2*n + 1 + 4*n + 0*n**j + n**3 - n. Give y(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*l - 656*l - 68*l.\nAnswer: -791*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 179 - 169. Suppose c - b + 4 + 0 = 0, -c + 4*b = 16. Suppose -5*w - 5*q + k = c, 2*q = -5*w + 1 + 3. Which is greater: 3\/13 or w?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 20, 256*x + 6 = -u + 257*x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 512.7 - 486.13. What is i rounded to zero decimal places?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 14*v - 57 = 0. Let g(a) = -12*a**3 + a**2 + 3*a - 9. Is g(v) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -1.171 (c) -5\/8 (d) -436 (e) -2 (f) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 30 = 5*k - g, -12 = 3*k - g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**3\/5 - 6*p**2 - 63*p\/5 - 376. Factor z(i).\nAnswer: 3*(i - 21)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - p - 1. Let g be v(3). Suppose 0 = -21*s + 16*s. Solve s = -g*d + 5 + 15 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12, -28, -48, -72, -100, -132?\n\"Answer: -2*j**2 - 10*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of c**3\/3 - c**2\/2 - 2. Let u be v(-2). Suppose 2*s - u - 4 = -h, 2*s + 5*h = -6. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 100, 180, 294, 442, 624, 840?\nAnswer: 1090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 88108878 to the power of 1\/2, to the nearest integer?\nAnswer: 9387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 2*h = -12, 2*z = -259*h + 256*h - 7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 2 + 3 + 1)*(-20 - 4 + 5)*(6 - 7 - 6)*(2 - 1 + 2 + (0 + 0 - 1)*(3 + 1 - 2))*(3*t**3 + 2*t**3 - 3*t**3).\nAnswer: 266*t**5 + 532*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -47, -40, -5 in decreasing order.\nAnswer: 0, -5, -40, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 + 27 = 30*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16173, -16171, -16169, -16167?\n\"Answer: 2*a - 16175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 116 divided by 1\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(2*sqrt(8)*-2).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 5 = -u, 0 = -2*d - u + 79 - 75 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15015464437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -q**2\/2 + 7*q - 1. Let r be a(7). Solve r*z + 15 = 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -702*i - 460 = -748*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 7. Suppose -4*a - a = -5. Let f = a + c. Put f, 3, 1 in descending order.\nAnswer: 3, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12605 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -30. List the prime factors of 218\/f - 3\/18.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**2 + 2*s**2 + 4*s**2 + (-1 - 2 + 2)*(s - 2*s**2 - s) + (-456*s + 18*s + 43*s)*(-2*s + s - s).\nAnswer: 794*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -4\/15832043?\nAnswer: -4\/15832043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2431 (base 5) to base 9.\nAnswer: -446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*a + 192*a = -3*m, 3*a - 16 = -m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 345*w + 2695 + 2634 - 5329.\nAnswer: 345*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x = 11*x + 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3347 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/7 - 55148*j\/7 + 380162738\/7.\nAnswer: 2*(j - 13787)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1223972 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -d + 5. Let z be 4 + (5 - 0) - 0. What is q in z - q**2 + 0 - d + q = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + m + 7. Let k be a(-3). Let d = 19 - k. Is d at least 26\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*f - 7132 = -118*f - 46*f - 2204 for f.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.362 + -0.638. What is the nearest to b in 0.4, 3, 6\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3134031259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10951 + 10952. Let s = 0.22 + 2.78. Which is the closest to 0? (a) g (b) 1\/8 (c) -42 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/961 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 43 + 47 - 90 - 3*m + 15*m**2. Let l(z) = z. Determine c(l(h)).\nAnswer: 15*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (915 - 346*h**4 - 915)*(4 + 2 - 5)*(-3*h - h + 2*h).\nAnswer: 692*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.736852044 to three dps.\nAnswer: -1.737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 1. Let b(f) = -9*f - 46. Let w be b(-5). Determine s(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**2 - 41151*v - 135742320 = 0.\nAnswer: -8197, -5520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -4\/7, -31\/23, -7, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34341\/4 or 8586?\nAnswer: 34341\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3224 - 22942 = 42*j. Is j <= -623?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**3 + 53*u**2 - 91*u - 83. Determine w(-28).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a minute in seconds?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**2 - 299*j - 353. What is the remainder when f(103) is divided by 113?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/7, -5, 2\/7, -882\/23?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (0 - -3) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 969?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4130361 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*j - 960 + 1210. Solve -11*b - j*b = 32 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**4\/4 + c**3\/2 - 55*c**2\/2 - 147*c. Differentiate x(a) with respect to a.\nAnswer: 6*a + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(475) - (sqrt(475) - sqrt(475)*1).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85060129 by 6.\nAnswer: 85060129\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/2 + 395*n**3.\nAnswer: n**3*(n + 790)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*((-12)\/3 - -14). What is the third derivative of -b**2 + x - 50 - 12*b**5 wrt b?\nAnswer: -720*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 5*c**3 - 3*c**3 + 0.\nAnswer: 2*c**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.57719*-32.\nAnswer: 18.47008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 17 (b) -0.21 (c) 3\/2 (d) 2\/33 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 54 = 3*w + 4*k, 3*w - 69 = 3*k. Let b = 519 + -520. What is the remainder when w is divided by b*5 + (-5)\/15*-39?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1874.\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -14241, 2, -2 in decreasing order.\nAnswer: 2, 0, -2, -3, -14241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-1\/19)*o)\/o)\/o*o)\/o**22*(o**(-10))**(2\/95) assuming o is positive.\nAnswer: o**(-423\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, e: 4, a: 2, r: 2, u: 3, n: 1}. What is prob of sequence ren?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270) + 3*(sqrt(270) + 2*sqrt(270)))\/(1*sqrt(225)))\/(sqrt(10) + sqrt(360) + sqrt(250)*-2).\nAnswer: -2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 27. What is the closest to n in -1\/3, -4, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.06, 0.1, -3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 48 = 84. Solve w - 8 = -5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5*w**2 - 149*w + 1. Let m(b) = 29*b. Let u(y) = -5*m(y) - n(y). Let j(g) = 6*g**2 + 4*g - 1. Determine -4*j(o) + 5*u(o).\nAnswer: o**2 + 4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 26416, 78, 5, 2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**3 - 16*s**2 + 16*s + 11. Let n(a) = -7*a**3 + 34*a**2 - 34*a - 20. Let x(v) = 5*m(v) + 2*n(v). Calculate x(11).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*a - 2. Let u be ((-1)\/a*0)\/(-1). Let j(r) = -4*r - 2 + 2*r + u*r. Give j(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23997 - -23997. Solve -2*i - 8 = t, 25*i = -5*c + 22*i - 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.74151 and -0.1.\nAnswer: 0.174151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c**2 - 2*c - 11. Let g be p(-5). Let f = g + -98. Let q be (4\/10)\/f*(25 - 10). Solve q*j - 3*j = 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t**4\/4 - 7*t**3\/3 - t**2 + 9*t - 6. Let b be y(7). Let p(v) = v**2 + 6*v + 11. Let w be p(b). Solve -u = -w*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -318.6 - -355. Let b = 44 - t. Let g = -0.3 + b. What is g rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 100.2 + -100. What is the third biggest value in -1, f, -1.4, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**2 - 38186*i + 152776 = 0. What is i?\nAnswer: -19097, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 65 and -135675?\nAnswer: -8818875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-3180)\/(-2915))\/((-2)\/(-11)) + -22\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1081061*k + 1373955 wrt k?\nAnswer: -1081061","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (203*b + 300*b + 470*b - 76*b)*(-b - 4*b - 7*b) to the form z*b + q*b**2 + g and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -5, -194, 5, 3.\nAnswer: -194, -9, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49\/4 of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-8) - 1902\/(-8) - -1. Let f be (2\/(-3))\/(c\/153). What is the nearest to 1 in 0.06, f, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 11 + -30 + -25 + (-26 - -50)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10\/25663 (b) -5\/6 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2530 or 2543?\nAnswer: 2530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 649, 610, 557, 508, 481, 494?\nAnswer: 565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/6 - 1285812*p - 2479968749016.\nAnswer: -(p + 3857436)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5057 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 39*i. Let v(x) = 6*x**2 + 4*x. Let l(f) = f**2 + f. Let h(p) = 20*l(p) - 5*v(p). Calculate h(c(m)).\nAnswer: -15210*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 34, 73, 112, 151, 190, 229?\n\"Answer: 39*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -7*h**2. Let g(k) = 34*k**2 - 5. Suppose 2*b - 8 + 38 = -4*q, 0 = 5*b + 25. Let c(d) = -697*d**2 + 102. Let y(s) = q*c(s) - 102*g(s). Give r(y(w)).\nAnswer: -2023*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -4*j**6\/15 - 2*j**3\/3 + 4*j. What is the second derivative of r(h) wrt h?\nAnswer: -96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(3\/7)\/(d*d\/d**(-17))*d**(-3\/2)*d\/(d*d**0\/d) assuming d is positive.\nAnswer: d**(-267\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r + 10 = 0. Which is the nearest to r? (a) -1 (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 9.8. Let r = -42953 - -42952.9. What is the third biggest value in x, r, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 4:09 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from dbddb.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -725568\nAnswer: 1\/181392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 99554425 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.903, -2\/13, -0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002e7 (base 16) in base 2?\nAnswer: -100000000001011100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 1204*k - 28824. Calculate w(24).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + sqrt(11) + 4 + sqrt(11) - sqrt(33)\/(-1*sqrt(3)))**2.\nAnswer: 40*sqrt(11) + 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(27\/4)\/g**(-30) assuming g is positive.\nAnswer: g**(147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o*u**2 + 8*o*u + 47*u**3 - 3*u wrt u.\nAnswer: -2*o + 282*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(833) - (2*(3*sqrt(833) + sqrt(833)) + sqrt(833))) + 1))**2.\nAnswer: -2800*sqrt(17) + 1332825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 61 + 3 = 5*r, 0 = -2*a + 2*r + 46. Solve -a*j + 2*j + 68 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7349452?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + 5*(sqrt(125) + -2 - ((-2 + sqrt(5) + sqrt(5))*-3 + sqrt(5)))**2).\nAnswer: -2400*sqrt(5) + 8472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-12))\/((-4)\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 756 and 672.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-18)\/8*-3)\/(1\/20) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 19. Suppose y + w = 0, 3*j = -y + 6 - 49. Let n be (-10)\/(-35) - 24\/j. Solve -n*v = -v - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2821)\/(-39) - 2\/(-3). Let j = a - 71. What is the least common multiple of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115435 divided by 23087.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11624 + -4224. Suppose -9*b + p = -10*b. What is b rounded to the nearest 100?\nAnswer: -7400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3*n**5\/8 + 769365*n**4\/4 - 1538715*n**3 + 4616130*n**2 - 6154830*n + 3077412 = 0?\nAnswer: 2, 512902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 11:18 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -221 + 65\/4*j**4 + 2\/5*j**5 - 145*j + 0*j**2 + 0*j**3. What is the derivative of y(p) wrt p?\nAnswer: 8*p**3 + 195*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 4*v - 32. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3347122785.\nAnswer: 3, 5, 223141519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 11*c + 3. Let o be x(11). What is the tens digit of 1 - (-1 + o) - -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + w + 73. Let h(r) = -2*r**2 + 13*r - 6. Let p be h(6). Calculate the remainder when l(p) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g - 14. Let r(m) = m + 5. Let o(a) = 11*r(a) + 4*v(a). Suppose -4*w + 3*x + 15 = 1, 2*w = x + 8. Suppose -w*p - 30 = -10. What is o(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201950 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -14*y. Let g(m) = -m - 2. Let n(j) = 5*j + 9. Let i(d) = -d + 6. Let h be i(0). Let o be ((-2)\/h)\/(6\/36). Let u(k) = o*n(k) - 9*g(k). Give u(z(a)).\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10155 + 9*z + 20329 - 10101 + (z - 7*z + 3*z)*(2 - 2 + 2) to the form m + i*z and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 19*x**2 + 10*x - 179. Give z(19).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d + 5. Let o(l) = -4*l - 9. Let u(v) = -4*o(v) - 7*z(v). Let f be 1 + 2 + 0\/2. List the prime factors of u(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3091*c = 14*n + 16*n - 3096*c - 5, -2*c = -2*n - 28 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 14*v - 10. Let q(g) = 4*g**2 - 22*g + 30. Let m be q(v). Solve m*b + 15 = -5*z, 0 = -2*z + 3*b - 0*b - 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3 - 2*x + 6*x**2 - 58*x**3 - 4*x**2 + 5*x. Is m(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 1. Let u(b) = 7*b**2 - 4*b - 20. Let h(q) = -u(q) - 6*y(q). Let f be h(6). What is the greatest common divisor of 6 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k + 6. Let f(b) = 18*b - 11*b - 5 - 5*b. Suppose 0*a + 5*a - 25 = 0. Let p be 12\/2 + (-2 - 0). Give a*f(z) + p*u(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (1969*l**2 + 1119*l**2 - 360*l**2)*(0*l + l - 2*l) as a + p*l**2 + d*l + y*l**3 and give y.\nAnswer: -2728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1659.\nAnswer: 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2003\/3 greater than or equal to -6.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2266)\/(-26) + (-8)\/52 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3\/5 - (54 + (-17024)\/320)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/771 and 128\/81*(-270)\/(-180)?\nAnswer: 6939","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-1)*-3*((-99)\/54)\/(-11)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.08 + -0.08. Let i = s - 6. Let k = -1.5 - i. Which is the smallest value? (a) k (b) 1 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 2 + (-4 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.184771m in millimeters?\nAnswer: 8184.771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30808.\nAnswer: 2, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - -12 - (7 + -27)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135 - 135 - ((0 + -4 - -5) + -14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-15))\/(3\/15). Suppose v*m + 0 = 8. Let f be 5\/(12\/m + -2). Solve 5*d - r - 11 = 0, 1 = -d - d - f*r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -254 and -720.\nAnswer: -974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-2)\/(-10)*57\/(-399)*133\/(-76)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28679 and 119.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0541518 to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -37, 0, 71, 176, 315?\n\"Answer: 17*h**2 - 14*h - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/3 + 1\/(-3). Let p(t) = -t**2 - 29*t - 36. Let j be p(-28). Let n be 13\/(780\/50)*j\/330. Which is bigger: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -4\/475?\nAnswer: -4\/475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 442575165, 885150331, 1327725497, 1770300663?\n\"Answer: 442575166*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -361*u**3 + 4*u**2 + 7*u + 970. Let i(x) = -359*x**3 + 5*x**2 + 9*x + 969. Let h(o) = -4*i(o) + 5*v(o). What is the second derivative of h(n) wrt n?\nAnswer: -2214*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -6, 29785?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -639*l - 28549 + 895672. What is the greatest common factor of 736 and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = w, 4*w + 3*i + 12 = -i. Is (12 + -21)\/(-36) + (-63867)\/w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 4785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/8 + 2\/8. Let a be (w - 5)\/(-2 - -1). Solve 4*f - 4*z + a = 2*f, 2*f + 4*z - 4 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*z = -z + 78 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 7:21 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*m = 8. Suppose 5*p = m*p - p. Which is the nearest to 0? (a) 3 (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-106)\/(-1 - -3 - 0). Let a = k - -312. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 5*l**2 + 7*l - 4. Let n be r(-6). Let j(c) = c + 7. Let i be j(n). Is i\/(-1)*(-235)\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5328.977 - -408446.54\nAnswer: 413775.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-4)*3\/(-27)*-99?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57045275 and 125.\nAnswer: 285226375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 683.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.11, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 376.934 and -32443?\nAnswer: 32819.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 - 4\/3) + (-5678596)\/(-1236)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2 - 3*f + 4*f + (0 - 2*f + 0)*(2 - 2 + 1).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41\/132 + -1\/44. Which is the third smallest value? (a) l (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -74*x**2\/9 - 218*x\/9 + 4\/3.\nAnswer: -2*(x + 3)*(37*x - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 3*s + p + 76, 0 = 3*s + 4*p - 101. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6253 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000107188428 to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, 0, 38366, -2.\nAnswer: -81, -2, 0, 38366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.14 + -0.46. Let k = -3.6 - q. Let t be ((-10)\/(-4))\/(2\/(-4)). Which is the nearest to 0.1? (a) k (b) -2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - 1 - (81 + -42 - 28)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.281 and 0.07.\nAnswer: -0.08967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15884590 rounded to the nearest 10000?\nAnswer: -15880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 12*b - 6*f - 132, -4*f - 34 + 32 = b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(52)\/sqrt(4) + 3.\nAnswer: 1 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1656)\/161)\/18 + 6\/(4536\/516).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*w + 128*w + 6 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(2)*4)\/(sqrt(12)\/sqrt(150)).\nAnswer: 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 4. Suppose 3*y + 3*p - 15 = 0, p - 6*p = -15. Suppose y*h + 4 = o*h. What is the remainder when 5 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aagztgvj. Give prob of sequence azj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*l = -47, 3*b - l = 3*l - 11. Calculate the remainder when (3\/b)\/(5\/2130*-2) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -18\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 10:22 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -129\/164 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8125 and 4225.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430696027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + -0.4. Suppose 3*d - 9 = 6. Let q = 5 + -5.3. Which is the closest to z? (a) q (b) d (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 14 = -4*c. Let a = c - -41. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -29 + 2 + 35 + 20 + 8?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 13*22\/143)\/((-2)\/(-48)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -167061*n + 167063*n - 13, -2*z + n - 5 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 929*w - 937*w. Let s(m) = -4*m**2 - 8*m - 12. Calculate s(w).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1814479*-1\nAnswer: 1.1814479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -12*r + 11*r + 25, 39 = 3*r + 3*g. Suppose 126 = 3*h + r*h. Which is the third smallest value? (a) h (b) 3\/7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*u - 28554 = 0, 0 = -7*f + 3*f + u + 38052. Suppose 55*h = 53*h + f. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.48 times 23.995\nAnswer: -131.4926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o - o + 4 - o + 2*o**2. Let b be s(3). Let y(d) = 3*d**2 + 4*d + 1. Let c be y(4). What is the greatest common divisor of c and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l = -2*k + 14*l + 16, -2*k + 5*l = -16. Suppose -5*h + i + 3396 = 0, 3*i - k*i = -20. List the prime factors of h.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -988117.655 rounded to the nearest 100?\nAnswer: -988100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5369 is divided by 510.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 5*s - 25, 2*k - 2*s - 10 = -4. Let g be (45\/7 + -6)*k\/3. Which is the nearest to 2? (a) -1 (b) g (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4*t = 2*x - 8, -t = -3*x - 16. Suppose -2*c - 4 = -3*c. Is t at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 22.1 and -98783.06.\nAnswer: -98760.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, g: 9}. What is prob of sequence ddd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5772.4 times 30?\nAnswer: 173172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.18 plus -45.474?\nAnswer: -49.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3265?\nAnswer: 5, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-12) - (-95)\/(-15). Let p(i) = -2*i**2 - 11*i + 6. Let z be p(k). Suppose -s + 7*s - 576 = z. Does 24 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.11 + 0.110012. Round l to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000216380838 to six dps.\nAnswer: -0.000216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g - 20. Let b be r(-6). Let t(s) = 2*s**2 + 6 - s - 6 - 3*s**2. Let a(d) = -3*d**2 - 5*d. What is b*t(z) - a(z)?\nAnswer: -z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3 + (-2)\/(-6))*1728\/90 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (7 - 47 - -32).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1504223 to the nearest integer?\nAnswer: 1226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*q - 4857 - 24910 - 9493. List the prime factors of q.\nAnswer: 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 20*b - 24. What is the remainder when x(-17) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13876*i**2*o**3 - 3*i**2*o - 2*i*o**3 + 2*i*o**2 - 2212*o wrt i.\nAnswer: 27752*o**3 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 476 divide 579318180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2086 - 873. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 2)*(0*l**2 + l**2 - 3*l**2) - 39895*l - 853*l**2 + 39895*l in the form f + b*l**2 + u*l and give b.\nAnswer: -855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.06, -2, 3925, 9\/4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4913436um to nanometers.\nAnswer: 491.3436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10\/9 of a day?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2633 in -1\/6, 2, -0.1, -0.0532?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244 = -4*j + 14*m, 24*j - 3*m = 23*j + 53 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-4 - -3) - -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**6\/135 + 7*l**5\/90 - 5*l**4\/18 + l**3\/3 + 3*l. Solve v(c) = 0 for c.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*m + 1)*(-m**2 - 3*m**2 + m**2) + 68*m**2 - 37*m**3 - 68*m**2 in the form t*m**3 + i*m + o*m**2 + v and give t.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30897 and 1161?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.8 + -0.2. Let m = 14 + g. Let z = m - 6.999994. Round z to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11520 is divided by 102.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 4*o + 3. Let c(z) = -z + 1. Let u be c(-3). Let p be j(u). What is the first derivative of 5 - 1 - p + 2 + 2*a wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -638\/87017 at least -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**4\/9 + 166*v**3\/9 + 172*v**2\/9 - 112*v\/3 = 0. Calculate v.\nAnswer: -2, 0, 1, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g - 49. Let q be k(21). Is q less than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 50*p - 88. Let v(c) = c + 394. Give y(v(x)).\nAnswer: -x**2 - 838*x - 175024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00159657 to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/5))**(-11)\/(f**(-1))**19 assuming f is positive.\nAnswer: f**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4.94 (b) 5 (c) -3.7 (d) -0.033 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(76)*1 - sqrt(76)) - sqrt(76))\/sqrt(4))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317465?\nAnswer: 5, 63493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1645*k - 10 - 2652 - 1749*k - 66 wrt k.\nAnswer: -3394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) 0 (c) -1\/154 (d) 4 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -21, -5, -32, 1 in increasing order.\nAnswer: -32, -21, -5, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.625603 to one decimal place.\nAnswer: 29.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 24*k**2 - 7*k + 8. Let m(u) = -24*u**2 + 6*u - 7. Determine -6*j(l) - 7*m(l).\nAnswer: 24*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*x + 5*j, 2*j + 2 = 2*x - 0*x. Solve x = -13*f - 47 + 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -1 - 11*h**3 + 58*h**3 - 38*h**2 + 0 - 48*h**3 + 38*h. Let t be l(-39). Solve -3*c - 4*r - t + 13 = 0, -4*c = -3*r for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(891) - (sqrt(891) + -1*sqrt(891) + sqrt(891))) + 0 + (-1 + sqrt(891))*-5)*3)**2 + -1.\nAnswer: -3780*sqrt(11) + 200670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -79 (b) -10 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*d + 158*d - 135*d - 1513 to the form r + t*d and give r.\nAnswer: -1513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15235 and 0.1.\nAnswer: 1523.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**6\/120 - m**5\/10 + m**4\/24 - 5*m**3\/6 - 5*m**2. Let o = 65 - 98. Let j be 7\/((-231)\/192) + 6\/o. Determine w(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-5))\/x**5*(x*x**5*x*x*x)\/(x\/x**(-1)))**(-48))**(14\/3) assuming x is positive.\nAnswer: x**(-1792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 22517?\nAnswer: -22515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 + 15*w - 13. Let r = 754 + -762. Calculate t(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/5605 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538440?\nAnswer: 2, 3, 5, 7, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + 3*w**2 - 3*w**2)*(6 - 1 - 3) - 337*w**2 + 193*w**2 + 225*w**2 + w**2 - 2*w + 2*w.\nAnswer: 86*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*b + 7*w - 6, -5*b + 3*w + 6 = 0. Solve 46*q + b = 45*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 24, 3, -2, 4 in decreasing order.\nAnswer: 24, 8, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -2*f**2 - f - 1\/20*f**5 - 1\/2*f**4 - 51 + f**3. Determine w(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92880 divided by -4644\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j - 6. Calculate the smallest common multiple of u(-5) and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31380 divided by -8.\nAnswer: -7845\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, f: 6, u: 2}. Give prob of picking 1 u and 2 c.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 233239345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -7, -1, 19, 59, 125, 223?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 41*n - 30051 = 0. Calculate the highest common divisor of 84 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80250 is divided by 333?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -105, -23466, 3 in descending order.\nAnswer: 3, -105, -23466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2845014186?\nAnswer: 2, 3, 7, 179, 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d - 6 = -20*d. Suppose d*z + 12 = 2*b, 0 = 5*b + z + 4*z. Suppose b*t = t + 76. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2122376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 134952 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 12*w - 16. Let q be i(13). Let f = -80 + q. Calculate the greatest common divisor of f and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2701459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 326213976*a**3 + 4782536*a + 29 wrt a?\nAnswer: 1957283856*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -25 (b) -3 (c) 2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 5*f**2 - 10*f + 17. Let z be p(5). Which is bigger: -34 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -123 + 198. Let k = 118 - p. Calculate the remainder when k is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 113 = -1633. Find the third derivative of 0*v**4 + c*v**5 - 206*v**5 - 114*v**2 - 314*v**5 + 0*v**4 wrt v.\nAnswer: -8400*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.345, -33, -4\/11, 10?\nAnswer: 0.345","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73932261 to the power of 1\/2, to the nearest integer?\nAnswer: 8598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 + -74. Find the third derivative of 41*a**3 - 2*a**2 + 0*a**6 + 2*a**6 - 43*a**3 + y*a**6 - 5 wrt a.\nAnswer: 480*a**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 882 and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 1:03 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -53345\nAnswer: -10669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-1)*(3 + -2). Suppose t + 5 = 4*a. Are a and 4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1594.03 - 756.64. Let o = f - 843. What is o rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 7*c**2 - 5*c + 1. Let q(h) = -h**2 - h + 1. Let s(t) = -d(t) - 3*q(t). Suppose s(f) = 0. Calculate f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 + 15 - 135 - -104?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/5? (a) 0.06 (b) 9 (c) -215 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -531993.05 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*7 + ((-7)\/(42\/90) - (-3 + 16))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 5*t = 45, 0*t - 50 = -5*r - 5*t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3132 and 72.\nAnswer: 6264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000692497 rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19645880286 - 77549240441\/4. Let c = 1907213572585\/7376 - h. Let t = -3\/461 + c. Find the common denominator of -13\/24 and t.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 156, 314, 472, 630, 788?\n\"Answer: 158*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8*3*19\/1026*-6*30\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3643 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 3*v**2 - 3*v + 3. Determine f(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 35*i**3 + 55*i + 55. Let m(k) = 2*k**3 + 3*k + 3. Suppose 67*p = 119*p - 312. Calculate p*z(j) - 110*m(j).\nAnswer: -10*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(612) - ((sqrt(612) - (4 + sqrt(612) + sqrt(612) + 1) - sqrt(612)) + sqrt(612)) - (2 + -2 + sqrt(612) + sqrt(612)))**2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 33*p**2 - 26*p + 223. List the prime factors of g(37).\nAnswer: 3, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 102526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 + 67. Let l(n) = -9*n + 18. Let r be (40\/(-12))\/5*(-9)\/(-2). Let o(y) = 5*y - 9. Let w(s) = r*l(s) - 5*o(s). Give w(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, -7, 419, -0.4, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (220\/(-121) - -2) + (-46)\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1462 and 645?\nAnswer: 21930","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 8*f**6\/9 + 8*f**5\/3 + 3*f**4\/4 - 13*f**3\/9 + f**2\/3 - 11. Find k, given that t(k) = 0.\nAnswer: -2, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1081866, 0 in ascending order.\nAnswer: -3, 0, 1081866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 232 = 5*i - 5*z, -5*i = 2*z + 244. Is 3 + -3 + (1 - i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 4 - 5)*(-w - 6*w - w)*(2*w + 2*w - w).\nAnswer: 192*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8889, 36444, 82331, 146550?\nAnswer: 229101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 29*g**2 + 18*g + 4. Let l be i(-2). Let f(z) = z**3 + 10*z**2 - 10*z - 14. Let b be f(-10). Is l greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 229*c + 1084. Calculate t(-228).\nAnswer: 856","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s = 2*z + 81 - 95, -41 = -9*s - 5*z - 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (6*sqrt(288)\/sqrt(8))\/(sqrt(2) - (sqrt(2) - sqrt(324)\/sqrt(2))) + -3)**2.\nAnswer: -28*sqrt(2) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l. Let z(w) = -w**3 - 2*w**2 + 7*w - 4. Let f be z(-4). Let o be 0 + f\/2 - 0. Let s be q(o). Solve -5*h + 3*h = s for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2237, 2303, 2373, 2447, 2525, 2607?\nAnswer: 2693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 + -135\/4. Let t = -19 + 77\/4. Find q such that -t - a*q + 1\/4*q**2 + 1\/4*q**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -128 + 133. Suppose 0 = -u*d - 0. Solve d = 6*a - 4*a - 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 + (-3 - (-9 + 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 282\/(-987)*(-266)\/4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**6\/120 + c**3\/6 - 2*c**2 - 7. Let t(z) be the second derivative of d(z). Let o(m) = -5*m**3 - 4. What is o(y) + 4*t(y)?\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**2 - 236*f + 22 + 180*f - 36 + 2*f**2 to x*f**2 + v*f + o and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*-8*(-7)\/252?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 9*m**2 + m + 2. Let k be l(-1). Suppose 5*y = -k, 4*y + 8 = 3*s + 2*s. Let z be s + (-9)\/1*-30. What is the greatest common divisor of 30 and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -1. Let x be (108\/48)\/((-24)\/64). Let f(o) = -9*o - 11. Let q(i) = -4*i - 5. Let t(g) = 3*f(g) - 7*q(g). What is x*v(w) - t(w)?\nAnswer: -w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 13 = f. Does 15 divide (-1 - 2)\/((-1)\/f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*y - 2 + 2 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2217 divide 330352953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1629246452.\nAnswer: 2, 407311613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56) - 1*sqrt(896))\/(3*sqrt(72)) - (sqrt(700) - (sqrt(700) + (sqrt(700) + -1*sqrt(700))**2))*-2*2)*-1*1.\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 213855 and 477.\nAnswer: 641565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 147.928 + 0.072. Let t = 88 - b. Let s = t - -36. Which is bigger: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14534 - 7139 - 23063 + 8437)*(-2 + 2 + 3*f + (3*f + 2*f - 3*f)*(-2 - 2 + 5) - 3*f + 7*f - 3*f + f + f - 4*f) to s + i*f and give i.\nAnswer: -145196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*n - m - 28, 8 = n - m. Let q be 1 + ((-24)\/5)\/n. Which is the closest to -0.4? (a) q (b) 0 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -440324?\nAnswer: -440333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -80361 + 80357. Let y = -0.06 + -2.94. What is the biggest value in y, 1\/6, r, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(3\/20)\/y)\/(y*(y*y\/(y**(-4\/9)\/y))\/y*y))**13)**(-46))**(1\/7) assuming y is positive.\nAnswer: y**(284947\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 1. Let x = -612\/139 + 6315\/1529. Which is the closest to s? (a) x (b) -2 (c) 5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 4\/9, 66.5, -1555\/7, 5, -2\/3?\nAnswer: 66.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*u - 3*u - 49. Suppose 6*o - u*o = -8. Suppose o*c - 105 - 111 = 0. Calculate the lowest common multiple of c and 15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(229632\/22425 + (-16)\/2)\nAnswer: -56\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157595 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 3:12 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 65056297 or 65056290?\nAnswer: 65056297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 59*z**3 - 2*z**2 - 10*z - 9. Let i(t) = -89*t**3 + 3*t**2 + 16*t + 14. What is 8*g(y) + 5*i(y)?\nAnswer: 27*y**3 - y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.87 or 29\/5?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26988 by -6.\nAnswer: -4498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (658\/4*(-2880)\/(-1680))\/6?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1200 - -2064. Calculate the greatest common factor of c and 324.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751592800?\nAnswer: 2, 5, 7, 134213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 1116 = 34*m. What is the remainder when 42 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 5576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**3 - 2*b**2 - 2*b - 6. Let y be s(-3). Let a = y - 39. Let t be (-21)\/56*2\/a. Put 11, t, -0.3, -2\/11 in ascending order.\nAnswer: -0.3, -2\/11, t, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, i: 4, v: 5, e: 4}. What is prob of picking 3 v?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3))\/(17\/((-714)\/(-14))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2 = -2*o + 33, -o + 65 = 2*v. Suppose 3*a - 51 = -v. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*g = -2*b + 3, -3*b + g = -15. Suppose i = -b*i + 112. Solve -7*t + 3*t - i = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8042267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -67, -99, -133, -169?\n\"Answer: -o**2 - 29*o - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2\/3 - 486*l = 0. Calculate l.\nAnswer: -729, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2 + 105*z**2 - 193*z**2 + 382*z**2 as v*z + o + x*z**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001000001010001101 - 1?\nAnswer: -110001000001010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h - 15 + 13 + h**3 + 6*h - 5*h**2. Let x be m(5). Solve x*u - 1 - 8 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -0.00345.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 246\/35 - 52\/7. Let q = -0.0885 + 0.3885. What is the nearest to -1.5 in -3, q, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 22 and -0.0790804?\nAnswer: 22.0790804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.9505 - -2.9504. Let f = 12.16 + -0.16. Let y = f + k. What is y rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529*z - 120 = -514*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -163618534*i**3 + 45*i + 5471465 wrt i.\nAnswer: -981711204*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255 - 3*o + 0*o - 8*o + 12*o.\nAnswer: o - 255","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2053807443?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in meters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9063 = -2*l - 9027, -4*j = 4*l - 72 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = s. Let q = s + -3. Suppose 4*p - 5*y - 2 = 0, q*p + 4 = 4*p - 4*y. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, r: 1}. Give prob of sequence rtt.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3\/2 - 7537*o**2\/2 - 60200*o - 240672 = 0. Calculate o.\nAnswer: -7521, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -203*f**2 - 44*f + 16. Let l(c) = 244*c**2 + 45*c - 18. Calculate -6*b(p) - 5*l(p).\nAnswer: -2*p**2 + 39*p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 4*h - 2 - 6, -5*x - 10 = -2*h. Suppose 0 = -4*t + 2*u - 4, 2*t + 2*u + h*u - 4 = 0. Factor t + 1\/4*r**3 - 1\/4*r + 0*r**2.\nAnswer: r*(r - 1)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 93*y = -92*y + 63, -34 = -2*q - 2*y for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p**3 - 7*p**2 - 9. Suppose -w - 5 = -9*j + 13*j, w = -5*j - 3. Is b(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - (((-2600)\/15)\/10 - -5)) + 3. Factor -d - 1\/3*u**2 + 16\/3*u.\nAnswer: -(u - 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.3 (b) 52 (c) 25262\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3980567 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmyyyhyyhaylahh. What is prob of sequence hyl?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 25 (b) 3 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2146 + 2147. Let b = 2 - 0. Sort b, n, -7 in increasing order.\nAnswer: -7, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2789 - -0.4\nAnswer: 2789.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 13) to base 8\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4210 + 4259. What is the highest common factor of f and 7693?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**4\/8 + 1211*y**3\/8 - 9739*y**2\/8 + 15841*y\/8 - 3657\/4 = 0.\nAnswer: -1219, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/6)\/((-14)\/(-930)). Let f = s - -1089\/28. What is the common denominator of 77\/10 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.937 times -547?\nAnswer: -4341.539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1) + (13 - 10) + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 3:17 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -8\/91?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three eighths of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h**2 + 6*h - 4. Suppose -170 = -29*v - 5*v. Let r(z) = -7*z**2 - 5*z + 3. Give v*n(g) + 6*r(g).\nAnswer: -7*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(2\/13)*p\/(p**(17\/5)\/p)*(((p**(5\/9)\/p)\/p)\/p)**(8\/13) assuming p is positive.\nAnswer: p**(-1204\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 5*u - 5. Calculate the remainder when 177 is divided by u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 108, 161, 212?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 12004709?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**2*p**2 + 8*c**2*q - c*p**2*q**3*u - 25*c*p**2*u - c*q*u - 3*p**2*u wrt q.\nAnswer: 8*c**2 - 3*c*p**2*q**2*u - c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4462 + 4399 - (6 + 5 - 1).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1387168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7459*f**2 + 1269*f**2 - 9997*f**2 + 1267*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*n**3 + 11239*n*y - 90*y - 47 wrt n.\nAnswer: 18*n**2 + 11239*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000009868 rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 20 = n. Suppose 10*k - 31*k = -42. Find the second derivative of -9*w - n*w - k*w**5 + 12*w wrt w.\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 11*c**5\/60 - 2*c**2 + 5893*c. Let r(i) = -17*i. Determine r(n(w)).\nAnswer: -187*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 3, -1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 10751.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kee when three letters picked without replacement from ezzfekffkf.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 172054159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/56)\/(3\/2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 u when four letters picked without replacement from uudududnuuuuddduu.\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - 2. Let j be (-8)\/(-10) + 2\/10. Put -0.1, j, p in decreasing order.\nAnswer: j, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 - 6*c**2 + 6*c - 2. Let k be o(4). What is the units digit of (-27)\/k + 6\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 5*o - 22, 4*v + o - 5 - 13 = 0. Let a(k) be the second derivative of 0 + 0*k**3 - 1\/4*k**v + k + 1\/2*k**2. Differentiate a(t) wrt t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*i = -2*f + 69*i - 9, -70*f = -i - 331 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**3 + 2*y**2 - 2*y + 5. Let p(z) = -14*z**3 + 4*z**2 + 13. Let n(w) = 3*w**3 - w**2 - 3. Let f(c) = 9*n(c) + 2*p(c). Determine -5*f(v) - q(v).\nAnswer: 2*v**3 + 3*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 5159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/3 - 0)*12. Let h be ((-4)\/(-10))\/(y\/(-10)). Suppose -2*x = -4*j, -3*x + 7*x + 10 = -2*j. Are j and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwctwwttwcwvt. Give prob of picking 1 t and 1 c.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5*sqrt(4)\/sqrt(2) + sqrt(2) - (-1 + sqrt(32)*-3))**2.\nAnswer: 216*sqrt(2) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 3:06 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhrh when four letters picked without replacement from rhhhrh.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1062*b**3*l**2 + 19728404*b**3*l - 9313*b*l**2 + 2*l**2 wrt l?\nAnswer: -2124*b**3 - 18626*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 18 = 4*w, -4*z - 1 = -w - 0. Suppose 5*j = 4*k - 4435, -2*k + w*k = -2*j + 3355. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002262987 to five decimal places.\nAnswer: 0.00226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 532, 1326, 2120, 2914, 3708, 4502?\nAnswer: 5296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 7:27 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.5 + 14.8. What is the second biggest value in -2, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-16)*((-83)\/249)\/(6\/4).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -4 - (5 - (-3 + 6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 128*m**2 + 2*m - 458 wrt m?\nAnswer: 256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 209603970?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + y - 1901 = 0, -4*x + 2323 + 5282 = 3*y. Suppose x = 7*k - k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3*(sqrt(1008) + -1)*6)**2*-4.\nAnswer: -6538320 + 155520*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 19196920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*g = 29065, -3*d + g + 12167 = -5272. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*l + 15254 = -4600, -2*u - l = -7952. What is the least common multiple of u and 11?\nAnswer: 43714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -280 greater than or equal to -243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 240\/13, 2\/5, -4\/3, 6.5 in increasing order.\nAnswer: -4\/3, 2\/5, 6.5, 240\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 330206801 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gunu when four letters picked without replacement from {u: 12, g: 1, n: 7}?\nAnswer: 77\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 38717.01 minutes?\nAnswer: 2323020600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (13\/91)\/(-8 - (-9585)\/1197)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3532522*a**2*b + 22*a*b - 8*a + b + 1356 wrt a.\nAnswer: -7065044*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211926 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/2 - 3\/(-6). Suppose 10 = -2*r + r + 2*m, 0 = 4*r + 4*m - 20. Is r less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23824 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: Simplify (y*y**(-7))\/y**(1\/4)*(y**(-4)\/y)\/((y*y*y**(-5))\/y)*((y*y**(-2))**(2\/31))**(-30) assuming y is positive.\nAnswer: y**(-659\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 26c (base 15) to base 14\nAnswer: 2b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.168 + -0.032. Put 3, -3, b, 5 in decreasing order.\nAnswer: 5, 3, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -18*q - 17. Let h be b(-5). Let r = -31 + h. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = 5*s. Suppose -2*g + 7 = 5. Suppose 2*p = g + 5. Solve -5*n + 18 = -0*r - s*r, p*n + 2*r = -2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + (sqrt(135) + sqrt(135) + sqrt(135)*-4)\/sqrt(9) + sqrt(15) + sqrt(60)*2)\/((2*sqrt(320) - sqrt(10)\/sqrt(50))*-2).\nAnswer: -10*sqrt(3)\/79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/608 and 39\/128?\nAnswer: 2432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001010 + -100101?\nAnswer: 100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360964 is divided by 1347?\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5550 - 6*z**3 + z**3 - 3947 - 1603.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 431560703*b**2 + 825664829*b?\nAnswer: 863121406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 2*d + 0*d)*(0*d - 4 + d + 3*d).\nAnswer: 8*d**2 - 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 143 = 2*y - 147, -5*j = y - 370. Suppose -5*l + 2*s + j = 21, 0 = l + 2*s - 6. Solve a = 3*a - l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - i - 32. Let u = -120 + 111. What is the units digit of t(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 7*w + 25. Let r be y(-7). Suppose -11*l + r*l - 504 = 0. Calculate the highest common factor of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-26) - (-354550940)\/65. Let p = 11554630 - v. Round p to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2433 - -3778. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 11. Let x = 9 - 5. Let l = x + -3.9. Which is the closest to l? (a) f (b) -0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-15 - -8 - -23) + -8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.89 - -0.9. Let u = 0.11 + r. Let t = -0.11975 + u. Round t to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20612\/7 + -2945. Which is the fourth biggest value? (a) -1\/6 (b) 3 (c) 0.042 (d) v (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**3 - s**3 + 7*s**3 - 13*s**2 + 17*s**2 - 24*s - 2 + 2*s**4 to o*s**4 + v*s + a*s**2 + c + i*s**3 and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3ba (base 14) in base 15?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 166 + -168. Is -23 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/46, -7, 0.3, -0.18?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-4230*o**2 - 1729*o**2 + 798*o**2).\nAnswer: -5161*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 3. Let o = 7 + h. Let s = -13\/22 - -1\/11. Which is the nearest to s? (a) o (b) -3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000222835 rounded to 6 dps?\nAnswer: -0.000223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 46*m**2 - 22*m - 11. What is the tens digit of d(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -18. Let g = x - -20. Let p(t) = -2*t**2 - 4*t**2 + g*t**2 + 3*t**2. Let j(i) = 12*i**2. Calculate j(p(n)).\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/2540 and -19\/1552.\nAnswer: 985520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -37c4c9 + -1a?\nAnswer: -37c4e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-39))\/10*(-3)\/2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/1344818?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 3\/8, -3, 3, 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4 = -2. Suppose 4*g - d*r - 12 = 0, 0 = -0*r + 3*r. Solve -2*w = g*w + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) -21 (b) -3\/2 (c) 4\/3 (d) -0.5 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 7\/4*q**5 - 1\/2*q - 5\/4*q**3 - 9\/4*q**2 + 9\/4*q**4 + 0 = 0. Calculate q.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6701)\/(-18 - -17) + -7 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2eb3 (base 16) to base 14.\nAnswer: -44dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -be1f (base 16) to base 9\nAnswer: -73678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1817219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 10:36 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5257 and 162812294?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*n**3 - 192*n**2 - 2330.\nAnswer: -12*n**2 - 384*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 11*w + 1. Let g be z(1). Suppose 6*x - g*x - 6 = 0. Let d(c) = 3*c. Calculate d(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 4*y - 0*y - 124, 0 = 4*g + 2*y - 114. Let w(m) = 7*m**3 - 4*m**2 - 3*m + 5. Let f be w(2). Let s = f - g. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-50)\/(-30) - 1)\/(3\/(9\/(-2))). Let u = 0.242 + 3.758. Let x = 9 + -4. What is the third biggest value in -1\/16, x, u, h?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -991949 - 220?\nAnswer: -992069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(756) + sqrt(756) + 2*sqrt(756)*5))\/((sqrt(343) - (sqrt(343) + (sqrt(343) - sqrt(343)*-1*-6)))*-1).\nAnswer: -144*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6738)\/(-15))\/((-3)\/(-140)). Let o = 313784\/15 - c. Let d = -6493\/120 - o. Find the common denominator of d and 46\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -16*b**3 + 7*b**2 + 11*b - 7. Let k(t) = 39*t**3 - 18*t**2 - 27*t + 18. Let x(q) = -5*k(q) - 12*n(q). Factor x(l).\nAnswer: -3*(l - 2)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 622 divide 8938140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-38)\/90 - (2\/(-21) - 913\/8715). Let t = -5 + 1. What is the smallest value in x, -0.1, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 45, -4, 7, -16, 27 in descending order.\nAnswer: 45, 27, 7, 2, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(242)*-6.\nAnswer: -66*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 0, v - h - 654 - 32 = 0. Let d = v + -682. Find b such that 0*b**d - 1\/3*b**3 + 0*b + 0 + 0*b**2 + 1\/3*b**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 489 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 6\/(-7) - 54\/189?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 29*z**3 + 3*z**2 - 6*z + 3. Let c(u) = 57*u**3 + 5*u**2 - 13*u + 5. Let s(w) = -3*c(w) + 5*l(w). Find the second derivative of s(g) wrt g.\nAnswer: -156*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/51)\/((-936)\/2652).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90 + -50. Let a = -20 + h. Suppose 4*q - 11 + 2 = -3*y, -4*y = a. What is the lowest common multiple of q and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 5) to base 10.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -80.32764.\nAnswer: -80.82764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, p: 2, h: 1, c: 1}. What is prob of picking 1 h, 2 e, and 1 p?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7647.684 micrograms?\nAnswer: 7.647684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/(-14) + 2\/3 and 53\/(-30) + (-6)\/(-9).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4912 + 58981\/12. Calculate the common denominator of y and -11\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -916770 + 109122*r**2 + 916770.\nAnswer: 109122*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*j - 126, j = 4*y + 37 - 15. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.61?\nAnswer: -0.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 231.2\nAnswer: -924.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50241016 and 2128.\nAnswer: 100482032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 4) to base 5.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/14 - 1*843\/(-21). Suppose 49 = -3*l + k. Let m(w) = -w + 5*w + 3*w**2 - w + 2 + 0*w**2. Calculate m(l).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5393*h - 2108641. Determine x(391).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 936531923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -33, 753, -4, -5, 13 in decreasing order.\nAnswer: 753, 13, 2, -4, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -700*y**4 - 43*y**3 + 180809*y**2 wrt y.\nAnswer: -16800*y - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 * -1652\nAnswer: 1321.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 27 = 4*a, -a = -3*l - 0*l - 12. Let o be 31586\/18 + l\/(-6). Let r = o - 1758. Find the common denominator of r and -9\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*t = -101*t + 80 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20663 - 18978. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -x**4\/4 - 8*x**3\/3 - x**2 + 7*x + 13. Let q be w(-8). Solve -4*b - 4 - 1 = -5*s, -4*b - s = q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3342064900 rounded to the nearest one million?\nAnswer: 3342000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -4*r + 21, -3*r + 5 = -3*b - 4. Suppose 3*x = -2*o - 12, -3*o + x = -6*o - 4. Let g be 62\/4 + 2\/4. Solve o*k + g = r*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22531420 (base 6) to base 9\nAnswer: -1271153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(76) - -2*(-2 + sqrt(19))) + -3)**2.\nAnswer: -32*sqrt(19) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -106136*l**4*p - 2*l**3*p**3 + 79*l*p**3 - 229*l wrt l?\nAnswer: -1273632*l**2*p - 12*l*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205, 149, 93, 37?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -83730 divided by 1?\nAnswer: -83730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 407 + -406. Which is greater: -2\/223 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, d: 6, n: 2}. What is prob of picking 4 d?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - 144980 - 6*n + 145275 + 7*n.\nAnswer: 2*n + 295","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 2528?\nAnswer: 2528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 12\/4913 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37.3 + -37. Let t = -46 - -321\/7. Which is the nearest to 1? (a) t (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 20*s. Let q be j(1). Let c = 14 - q. Let r be (1 - (-8)\/c) + 0. Which is bigger: r or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4*f - 56, -w - 3*w + 16 = 0. Let h = 11 - f. Solve 5*o - h = -22 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/174744 and -31\/5832.\nAnswer: 4718088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**3 - 7*h**2 + 2*h. Let f(l) = -8*l**3 - 20*l**2 + 6*l. Determine 4*f(n) - 11*r(n).\nAnswer: n**3 - 3*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12, 29, -1.29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 643178605 a multiple of 898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/(z*z*z**(-2\/5))*z)))\/(z*z*z*z**(-6\/11)*z*z) assuming z is positive.\nAnswer: z**(-223\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*a - 2)*(4 + 1 - 4) + 925 - 964 - 7*a + 12*a.\nAnswer: 3*a - 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + c. Let v(a) = 12*a**2 + 8*a. Let g be (8\/(-3))\/(1\/(-3)). Let m(r) = g*o(r) - v(r). Let j(p) = 2*p**2 + p - p. Determine j(m(u)).\nAnswer: 32*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211232131 (base 4) to base 3.\nAnswer: 21211222011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**4 + 22134*h**3 + 542169*h**2 - 67990956*h - 2165040588 = 0. What is h?\nAnswer: -41, 58, 7402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.2671818 nanograms?\nAnswer: 0.0000000002671818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 3*w - 64 - 46 + 45, 0 = -2*a - 2*w + 90 for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 5*z**2 + 3*z + 8. Let x be u(-5). Let v = x - -6. Let f(b) = -4*b**3 - b**2. Calculate f(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 2. Let s = a + 14. Suppose 0 = -2*f + 5*l + 33, -3*f + 23 = -5*l - 24. What is the greatest common divisor of f and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 8*h + 167. What is t(-22)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 6. Let d(v) = v - 5. Let s(i) = -i**2 - 9*i - 12. Let c be s(-8). Let y be 2\/(8\/(-6)) + 6\/c. What is y*p(a) - 4*d(a)?\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*w**3 - 17*w + 17*w.\nAnswer: 229*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 37a075 (base 12) in base 13?\nAnswer: 25a9a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**4 - 34*p**3 - 48*p**2 + 504*p = 0.\nAnswer: -14, -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2 - g - 3. Let a be f(5). Let v be -3 + 0 - 12*(-24)\/(-18). Let h = v + a. Does 24 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 95252808 and 48.\nAnswer: 190505616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 4790b?\nAnswer: -4790b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 27, 93, 213, 399, 663, 1017, 1473, 2043?\n\"Answer: 2*u**3 + 15*u**2 + 7*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -136139 times -171\nAnswer: 23279769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i - 2 + 4*i + 2. Let s(p) = -3*p**2 - p**2 + 6*p**2. Give n(s(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c = -209 - 71 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1234 - -1283. Calculate the greatest common factor of s and 637.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14244 divided by -14244.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 3:11 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8154313 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 194.9 - 196.9. Is -7.47 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 161077460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m - 13 - 31 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 1 = -3*x + 20, -4*j = 5*x - 33 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-1116))\/((-15)\/(-40))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-6))\/((-6)\/8). What is the units digit of -2 + 7 + j\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -328 * -3.\nAnswer: 984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s + 4. Suppose 0 = 5*t - s - 23. Suppose 0*v = t*v - 155. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 586 - 999. Let u = o + 1134. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(3 - 3 + m**2)*(2 + 2*m - 2).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7454\/6 + 60\/90. What is the highest common factor of c and 791?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18452243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3\/8, 223.\nAnswer: -9, -3\/8, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y**3 - y**2 - 2*y + 1. What is u(-2)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 292 and 717980?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 0*q - 3*q + 29 = 0, 10 = -5*q. Let t be (-3 + 0)*24\/(-9). Let r = t - 14. Let u(l) = 4*l**2 + 1. Let k(i) = -5*i**2 - 1. Give o*u(z) + r*k(z).\nAnswer: 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 14*a + 1. Let q be x(-14). Let k be 3 + 14 - q\/1. Let g = 197 + -193. Solve -4*f = k - g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 37.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/3807 - -77413\/7614. Calculate the common denominator of (98\/(-686))\/((-6)\/(-763)) and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 46\/9 of a hour?\nAnswer: 18400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**4\/12 - 8*j**2 - 9. Let d(u) be the second derivative of b(u). Let n(f) = 54*f. Calculate d(n(k)).\nAnswer: -108*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 16) to base 12.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (7488\/2160)\/(120\/(-1050)*(-14)\/(-4))?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 6*a)*((0*a - 2*a + 4*a)*(-3*a + 3*a + 2*a) + 0*a**2 + 2*a**2 - 3*a**2).\nAnswer: 18*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -11359.97?\nAnswer: -56799.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4315147*b**3*t - 2*b**3 + 2*b**2*t - 6*b*t - 6173*t - 112 wrt b.\nAnswer: 25890882*b*t - 12*b + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633 at least as big as 1634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 z when two letters picked without replacement from zzzzzzzzdzzwzzz.\nAnswer: 13\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21545.7kg?\nAnswer: 21545700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -79, 4, -4, 5161, 2, -2 in decreasing order.\nAnswer: 5161, 4, 2, -2, -4, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of o**4\/4 - 4*o**3\/3 + o**2 + 31. Calculate w(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*(-184)\/460?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51657356 and 782.\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 189828 divided by -6\nAnswer: -31638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 36668 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: Put -2, -5, 60, 851, -9, -4 in descending order.\nAnswer: 851, 60, -2, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 22, 34, -3, 8 in descending order.\nAnswer: 34, 22, 8, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 10. Let y be 5*6\/(-45)*b. Let l(z) = z + 4. Let f(c) = -3. Let w(v) = -3*f(v) - 2*l(v). Calculate w(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 363 and 1738770.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -4, 0.5, 3\/2, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 4.2. Let a = -0.7 - 0. Let u = a - d. What is the smallest value in 1, -0.2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**5\/20 - l**4\/4 + l**3\/2 - l**2\/2 - 8*l. Solve h(d) = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 191994 by 63998.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12 - -10)*1\/2. Let w(h) = 3*h**2 + 2*h + 1. Let i be w(s). Factor o**2 - 2 + i*o - 2 + 2 - o.\nAnswer: (o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z**4\/15 + 1233502*z**3\/15 - 23087912*z**2\/15 + 96938936*z\/15 + 9870112\/5 = 0 for z.\nAnswer: -88126, -2\/7, 7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -56*n + 1. Let t(q) = q + 106. What is t(u(m))?\nAnswer: -56*m + 107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 3:35 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5\/11 + 672*y**4\/11 - 11414*y**3 + 3107064*y**2\/11 + 10210088*y\/11 + 6976800\/11 = 0 for y.\nAnswer: -475, -2, -1, 34, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -16, 4, -2, 3, 198 in descending order.\nAnswer: 198, 20, 4, 3, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -31, -74, -155, -286?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -539*i + 3534. Determine w(7).\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 2\/11 (b) -1.9 (c) -0.0032 (d) 0.3 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -25. Suppose 5*h = -4*t + 2*t - 21, -2*t - h - 1 = r. Suppose -54 = -4*w - t*v, -4*w + w - 3*v = -42. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -104 + 108. Suppose j*v = v + 3. Suppose -4*m + 2*d = -2*m + 2, 0 = 4*m + 5*d - 41. Calculate the remainder when m is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1826\/85 + 108\/5. What is the third smallest value in -2, p, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5 = 2*i - l, 0 = -3*i - 2*l + 13. Suppose v = i*v. Suppose -3*s + 70 - 28 = v. Calculate the highest common factor of s and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -10 (b) -0.8 (c) 1740 (d) -0.4 (e) -1 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3656 - 858 = -31*p + 756. Calculate the greatest common divisor of 240 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -824\nAnswer: -82.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**2 + 4*f - 29. Let o(a) = 11*a**2 - 11*a + 80. Let d(j) = -4*o(j) - 11*q(j). Let s(n) = 15*n. What is s(d(y))?\nAnswer: -165*y**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -21*r**2 - 18*r - 1. Let o(u) = -13*u**2 - 8*u. Let t(c) = 5*o(c) - 3*x(c). Let z(d) = -2*d**2 + 14*d + 2. Give -2*t(n) + 3*z(n).\nAnswer: -2*n**2 + 14*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4069 (base 11) in base 15?\nAnswer: 18ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 14*r - 27. Let w = -33 + 44. Let g be p(w). What is the units digit of ((-2)\/4)\/(g - (-7300)\/(-1216))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26910*x - 28941*x + 115767 for x.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 5*m = -5, -z + 3*m + 1 = -2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 3*n - 6. Let u = -5 + 1. Let m be ((-1)\/(-2))\/(u\/32). Put n, -5, m in decreasing order.\nAnswer: n, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(4)\/sqrt(2) + 2.\nAnswer: sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(405))\/sqrt(9) - sqrt(45))\/(sqrt(36)*1) - -5*-4*(sqrt(125) + -1))**2*-3.\nAnswer: -598815\/4 + 11940*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -0.0584 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 2:28 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o + 0*o + 3*o)*(0 - 5 + 3)*(0 + 1 - 2) to g + a*o and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 1. Let k(n) = 14*n**2 + 5*n - 5. Let c be (-20)\/3*(-5)\/(-2)*69\/115. Determine c*d(a) - 2*k(a).\nAnswer: -28*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 954\/6 - ((-72)\/9 - -7). What is the greatest common factor of l and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5972*k + 280291 + 304965 = 0 for k.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ow when two letters picked without replacement from giwwziwozviii?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1590 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 4:50 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -14, -5, -4 in decreasing order.\nAnswer: -4, -5, -10, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**5)\/o*o\/o**(1\/3))\/(((o*o**(-3))\/o)\/(o**(-2\/3)\/o)))\/((o*o**(-1\/3)\/o)\/(o*o**6))**(-16) assuming o is positive.\nAnswer: o**(-331\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-40)\/50)\/(2\/(-296299608230)). Let g = -6850209902992403\/57798 + r. Let s = -2\/9633 - g. Find the common denominator of 61\/20 and s.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24113, 48266, 72419, 96572, 120725, 144878?\n\"Answer: 24153*n - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 1 - (-9 + 4 - (-24 - -12))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 0*d + 0*d)*((4 - 2 + 0)*(-d + 2*d**4 + d) + 2*d**4 + 2*d**4 + 0*d**4 + (3*d - 2*d + 0*d)*(4 - 2*d**3 - 4)).\nAnswer: 6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.46 + 0.387. Let t = 0 + r. Let u = t - -0.07299863. What is u rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-153)\/(-102) + 5\/(-2). List the prime factors of (z + -1)\/(-14) + (-168648)\/(-168).\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -11*((-198)\/11)\/(-378). What is the second smallest value in 0, 8, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*o**3 + 253*o**2.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -463*s**2 - 324*s**2 + 30*s**2.\nAnswer: -757*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 8:36 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 42560 = 7*v - 2*k, -2*v + 2*k = -85108. Suppose 4*p = 4*u + v, 6*u - 10633 = -p + 4*u. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1054 + 2328?\nAnswer: 3383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -462325, -924635, -1386945, -1849255, -2311565?\n\"Answer: -462310*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rvsrvavvvrrvravsrvar.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, b: 2, n: 1, j: 11, s: 1}. What is prob of picking 1 j, 1 u, and 1 n?\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 1. Let c(t) be the third derivative of t**4\/6 - 7*t**3\/6 - 82*t**2. Calculate -2*c(n) + 14*k(n).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 252, 485, 708, 915, 1100, 1257, 1380?\nAnswer: 1463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38384 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*(((r**(3\/2)\/r*r)\/r)\/r)\/r*r*r*r**12 assuming r is positive.\nAnswer: r**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*p**5 - 40*p**4 - 162267*p**2 wrt p.\nAnswer: 1800*p**2 - 960*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x = 43*x + 432. Let s = -2 - 7. Is s greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1 + -1)*222\/333?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) 51 (c) 0 (d) -0.8 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/23)\/y)\/y)\/(y**(-8)*y*y*y) assuming y is positive.\nAnswer: y**(71\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -5*p**4\/4 - 77*p. Let f(t) = -t - 3*t + 0*t + 3*t. Calculate d(f(s)).\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.06 (b) -1\/11 (c) 488 (d) 1 (e) 63 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -192*c + 201. Determine m(8).\nAnswer: -1335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49303983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 54189193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 979*w**3\/2 - 470*w**2 + 2122*w. Differentiate y(d) with respect to d.\nAnswer: 2937","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -15*10 - (-20 - -15). Let f = s - -149. What is the greatest common divisor of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 5:41 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 8:31 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 bigger than -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*v - 17. Solve 0 = -3*u + v*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from viiiiiii.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 43. Suppose -4*r + 114 = b. Let v be (-15)\/r - (-4)\/15. Sort 0.01, v, -5 in descending order.\nAnswer: 0.01, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 224 = -y + 4*v, -5*y - 3*v + 354 = 0. Calculate the common denominator of 19\/85 and (-16)\/y - 278\/180.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2606573 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*m**3 - 3*m - 11*m**3 - 2010 + 2004 - 2*m**2 wrt m?\nAnswer: -144*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*u = -215*u + 671 - 1614 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20 + -a0a320?\nAnswer: -a0a300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1379 + -776. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 38 + 8. Let z = -11 - s. Let t = 28 + z. Calculate the remainder when t is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - u - 1. Suppose 13 = -4*n - 5*k - 11, -5*n - 2*k - 13 = 0. Let q(r) = -2*r**2 - 4*r - 4. Give n*q(y) + 3*v(y).\nAnswer: -y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/4)*(f**(-2)*f)\/f)\/(f*f\/(f\/(f*f*f*f\/f**0)))**(2\/33))\/((f**(1\/3)\/f)**(-3\/7)*(f*f\/(f*f*f**4*f))\/(f\/(f*f\/f**(-4)*f))) assuming f is positive.\nAnswer: f**(-3085\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 6:19 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -497 + 153 - 11*b + 165 + 179.\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 2*o + 80. Let k = o + 16. Solve k = -4*u + 11 + 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 5 + (10 + -11 - (-1 - 0))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2118408069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 + -0.8. Sort 1, 1\/10, j.\nAnswer: 1\/10, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 44 = -q, 3*q + 0*j + 7*j + 47 = 5*j for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2930596000647\/21164 - -553883169\/4. Let h = 54\/481 - i. Is h >= 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/567*9 - 34954\/(-14). Suppose 0 = -6*w + 2945 + p. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 183506*i**4*y + 128395*y + 3 with respect to i.\nAnswer: 734024*i**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 + (-27 - -27) - 14 - 23.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 - 4195*n**2.\nAnswer: -5*n**2*(n + 839)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhhhhhthhh. What is prob of sequence th?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**2 - 157*t + 316*t - 161*t - 6*t**4 - t**3 to h*t**2 + u*t**3 + q*t**4 + x*t + j and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 577 - 536. Which is smaller: h or 212\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 8. Let g(o) = -l - 2 + 4*o + 7*o - 3*o. Suppose -v = -5*d + 6*d, 4*d - 8 = 0. Let j(c) = 2*c - 1. Determine v*g(m) + 9*j(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23107?\nAnswer: 7, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1777 is divided by 199.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2. Suppose 0 = 5*d - 3 - 7. Let z(c) = -d*c + 7*c - 3*c. Determine y(z(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -8118.817139 to the nearest 10.\nAnswer: -8120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -310, -1216, -2718, -4816?\n\"Answer: -298*g**2 - 12*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1006748 divided by 8\nAnswer: 251687\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, a: 1, r: 1, n: 1}. What is prob of picking 1 a, 1 n, 1 r, and 1 q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 9*l - 9. Let k be w(8). Let j(u) be the third derivative of -u**6\/10 - u**5\/60 - u**4\/24 - u**3\/6 - u**2. List the prime factors of j(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147250 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -5*p**2 - 5935*p + 53820 = 0.\nAnswer: -1196, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5226\/268 - (-6)\/4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = k - 0*k. Suppose -5*q + k*u = 8*u - 77, -95 = -5*q + 5*u. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 2. Suppose -4*f + l + 8 = 0, -2*f + 3*l - c = -3*f. Let i = -76 - -81. Sort f, i, 1 in ascending order.\nAnswer: 1, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 130461672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1012*m**2 - 456*m**2 - 2699*m**2 + 2*m - 237*m**2.\nAnswer: -4404*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 305 + -304. Let u = -6 - -6.3. Let q be 14\/4 - 3 - (-1 - -3). What is the closest to z in q, -0.6, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -20*t + 2569. Calculate the remainder when g(94) is divided by 171.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17 - 27047698?\nAnswer: -27047704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 184 and 460?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8878921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29.835 + 29.8349965803. Round h to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 less than -854615.53592?\nAnswer: -854732.53592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/3668654 and 61\/333514.\nAnswer: 3668654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2179, -4805, -7437, -10075, -12719?\n\"Answer: -3*b**2 - 2617*b + 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4 + (-4*sqrt(192)*-5 - (sqrt(192) + sqrt(192) + 0 + 1)**2)*1 + -4.\nAnswer: -778 + 128*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(3) + 5)**2 - (sqrt(3) + sqrt(3)*1 + -4)**2.\nAnswer: -21 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) - (sqrt(98) + 0))*5 + 4*(0 + sqrt(98)) + 1)**2 + 2.\nAnswer: 56*sqrt(2) + 1571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 309 - 304. Solve 0 = k*p + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 12*o - 17. Let l = 20 - 6. Calculate the remainder when d(l) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-10)*(-20)\/(-16).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -17*b**5\/15 - 22*b**2 - 43*b. Let t(u) be the first derivative of p(u). Let g(n) = 2*n**2. Give t(g(y)).\nAnswer: -272*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 127 divided by -611\nAnswer: -127\/611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17776770.\nAnswer: 2, 3, 5, 11, 103, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -4*x + 8760. Suppose 17*w = 19*w - x. Calculate the highest common divisor of w and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 4. What is the common denominator of 35\/9 and 2\/(21 - q\/(-1))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**2 + 2*b - 2\/3*b**3 + 6 + 1\/2*b**4. Factor q(o).\nAnswer: 2*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-37)\/((-4884)\/33)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*t + 6. Is 76\/t*6\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + -4*(-2 + sqrt(1872) + -2 + 0)) + 0)**2.\nAnswer: -65664*sqrt(13) + 1091268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**33))\/i**(11\/5) assuming i is positive.\nAnswer: i**(154\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/2 - 635*s**2 - 220934*s - 11959332.\nAnswer: -(s + 66)*(s + 602)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/42 and -19\/70170?\nAnswer: 491190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 23*r**6\/30 - 3*r**5\/20 - 505*r**4\/12 - 2*r - 93. Find the third derivative of o(q) wrt q.\nAnswer: 552*q - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2533000 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3) + 10\/3. Suppose 4*z - 18 - 14 = 0. Suppose 0 = -l - v + z. Solve l + 7 = 3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613593?\nAnswer: 3, 79, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 32*l**2 - 7. Determine d(-32).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - 0. Let a = -10 - u. Calculate the smallest common multiple of a and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/7)*(b**(-3\/7)*b)\/b)\/(b\/(b*b**(-1\/4))*b*b*b*b*b*b*b**(-3\/7))*(b**1)**(8\/15)*(b*b**(-4\/5))\/(b**(-2)\/b) assuming b is positive.\nAnswer: b**(-937\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.125 and -0.09.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57222186 to the nearest integer?\nAnswer: 7565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3347*u + 3353*u = 30 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 829, 1307, 1785, 2263, 2741, 3219?\n\"Answer: 478*a + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5272310 at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.1, -6552.617, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1520 and 21638910.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113, 101, 79, 41, -19, -107, -229, -391?\nAnswer: -599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (204\/10)\/((-28)\/(-70)). Let j = y - -5. What is the highest common factor of j and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 255\/64 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**2 - 3*t**2 - 3*t**4 + (2*t + 3 - 3)*(-5*t + 25*t**3 + 5*t) to m*t**4 + b + a*t + y*t**3 + v*t**2 and give m.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 3:28 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 1, -2\/36483, -3, -0.32?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84085.\nAnswer: 5, 67, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*d**4 + 249*d**3 + 2*d**2 - 1398*d + 1?\nAnswer: -144*d**2 + 1494*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2448.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.068 or 5.78413?\nAnswer: 5.78413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 4)\/1 - (56\/(-12) + 3).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519*m**3 + 0 + 0.\nAnswer: -519*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 10, -0.3, 0, 1\/66, 2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1120 divided by -10\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 241 + -191. Suppose -2*m + 5*y + 53 = 0, -5*m - 4*y = -0*y - a. Solve -5*i - j = m, i = 4*i + 3*j + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -79, -337, -773, -1387, -2179, -3149, -4297?\n\"Answer: -89*z**2 + 9*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -58187*j**2 + 120588?\nAnswer: -116374*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44216749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*p + a + 2, -4*p + 3*a = -31. Suppose p*i = 4*v - 32, i = 5*v + 4*i - 16. Solve 0*d + 5*d + v = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 o when three letters picked without replacement from ooodxxdooaod?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 29795474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 43*u - 4266. Calculate the remainder when 784 is divided by c(93).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 26*j + 160. Let v be o(-31). Solve -v*d - 4 = -m, 2*m - 3*d + 8 = 4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/1 - 1) + 10. Let n(y) = y**2 - 11*y + 12. Let g be n(9). Let m be 8*(3*-1)\/g. Calculate the greatest common factor of x and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s**2 + 3*s - 2. Let y(z) = -11*z**2 - 5*z + 3. What is -5*b(g) - 3*y(g)?\nAnswer: 3*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v - 6*v - 18*v)*(-4 - 1 + 3)*(1 - v**2 - 1 + 3*v - 3*v - 2*v**2 + (v + 4*v - 3*v)*(2*v + 2*v - 2*v) + 2*v**2 + 2*v**2 - 3*v**2).\nAnswer: 72*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 961755058?\nAnswer: 2, 11, 601, 72739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 70, 276, 618, 1096?\n\"Answer: 68*c**2 + 2*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -51*o + 4859. Determine u(73).\nAnswer: 1136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*g = -32, -123*g - 4 = -122*g. Let d(i) = 0*i**2 - i**2 - 6*i + 2*i**2 - 2. Give d(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 235 - 125. Let f = 110 - l. Factor f - 4\/7*m - 6\/7*m**3 + 10\/7*m**2 - 2\/7*m**4 + 2\/7*m**5.\nAnswer: 2*m*(m - 1)**3*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0824833148 plus -410?\nAnswer: -409.9175166852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 51324.8514 rounded to the nearest 100?\nAnswer: 51300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -448 minus -0.4077?\nAnswer: -447.5923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 12:02 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5663475 (base 8) to base 4\nAnswer: 11312130331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*d + 38*d + 364 = 0. List the prime factors of d.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 6*d + 22 = -3*d, 5*d = -4*n + 12. Let v(t) = -1 + 5*t**2 - t**2 - t**2 - t**2 + 2*t. Let o(c) = 4*c**2 + 5*c - 2. Determine n*o(g) + 5*v(g).\nAnswer: 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - 4*x - 9, -2*m + 3*x - 3 + 14 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 12*l**2 + 27*l - 26. Let o be x(-14). Let j(z) = -10*z - 64. Calculate the lowest common multiple of j(o) and 4.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -466643 + 5?\nAnswer: -466637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**3 + 66 - 1990*i**2 + 1990*i**2)*(12 - 6 - 14)*(i + 4*i - 4*i).\nAnswer: 24*i**4 - 528*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**3 - 204524*g**2 + 2044940*g - 5112100 = 0. Calculate g.\nAnswer: 5, 51121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = m - 5*c - 27, 3*m - 26 = -2*c. Let d be (-11 - -15) + 3*m. Calculate the highest common factor of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33866 divided by 27.\nAnswer: 33866\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 227115841288?\nAnswer: -227115841285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**6\/2 - q**5 + 7*q**4\/12 - q**3\/9 + 7. Factor m(k).\nAnswer: k**2*(k - 1)*(3*k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.1 + -6. Which is smaller: 0.22 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5666?\nAnswer: 2, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 1\/5 (c) 4\/11 (d) 127 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(-16)\/(-2976)*(-816)\/340?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 759873139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 605, 601, 603, 617, 649, 705, 791, 913?\nAnswer: 1077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 139429743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*h - 495 = -2112 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 59c9 - -1?\nAnswer: 59ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*x**2 + x**3 - 6*x**2 - 1 + x**4 + 14*x**2 in the form y*x**3 + s*x**4 + m*x + h*x**2 + c and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(10\/12)*-3. Let g = c + -3. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s**2 + 22*s - 26. Let d(l) = -2*l**2 - 7*l + 9. Let b(z) = -8*d(z) - 3*w(z). Let q be b(12). Suppose 3*t + q = -3*t. Sort t, -4, 1.\nAnswer: t, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/7))**(-2\/41)\/(v**0*v**1\/v*v) assuming v is positive.\nAnswer: v**(-283\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + p**2 - 2*p + 1. Give m(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iic?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, r: 2, e: 2, a: 1, i: 2, x: 1}. Give prob of picking 1 e, 1 x, and 1 a.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 5*l - 5. Let u = 6 + -4. Let b(a) = a**3 + 9*a**2 - 21*a + 14. Let h be b(-11). Suppose -2*j = h*s - 0*s - 9, u*j + 5*s = 7. Calculate v(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1149950 rounded to the nearest ten thousand?\nAnswer: -1150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4)\/t)**(32\/5))**(-1\/7) assuming t is positive.\nAnswer: t**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)\/(sqrt(32)*3))\/(-1*sqrt(12)*6 + sqrt(48)\/(sqrt(16) + sqrt(4))).\nAnswer: -sqrt(2)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2.059*-0.2\nAnswer: 0.4118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -24.68. Let p = h - -4.32. Which is the closest to -0.1? (a) p (b) -3\/7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 - 20195*q**2 - 101969603*q - 101949409.\nAnswer: -(q + 1)*(q + 10097)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9614?\nAnswer: 2, 11, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -35 (b) 5\/2 (c) 14 (d) -0.5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 320 + 322 + 10*d.\nAnswer: 12*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 11917.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -944300 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/8 and 59\/110.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342 is divided by 51?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*5\/(-120) - (-18)\/(-40). Suppose -5*x - 20 = -0*x. Which is the closest to -1? (a) i (b) 0.2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 5*h - 12 = 0. Let q(j) = -3*j + j + 0*j + j. What is the units digit of q(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*s + 447 - 447 + 0*s - s + 2*s + (4*s - 5*s + 2*s)*(-3 - 2 + 3).\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86.52 + -14.48. Which is the nearest to h? (a) 4\/3 (b) 1\/2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 11) in base 4?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -432927131 divided by -1183.\nAnswer: 365957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 184*o**2 + 1779*o - 2298*o - 183*o**2 to q*o**2 + f + u*o and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -174 - -176. Let i be 1 - (1 - c)\/((-1)\/(-7)). Let f = 3 - -1. Put i, 5, f in descending order.\nAnswer: i, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39489 = -g - 39466 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z*z\/(z*z\/(z**18\/z*z))*z))**(-47)\/((z*(z\/z**(-1\/5))\/z)\/(z\/(z\/z**(1\/9)))))**(-2\/99) assuming z is positive.\nAnswer: z**(-71812\/4455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24626 and 357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2413879 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -51, 2\/297, 0.1, 0.3, -0.2?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2581*v + 34*v**2 + 296 + 5171*v - 80 - 2590*v.\nAnswer: 34*v**2 + 216","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 942645557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 96\/673?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -39006, -78179, -117342, -156489, -195614?\n\"Answer: f**3 - f**2 - 39177*f + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 52\/156 - (-2)\/(-18). Suppose -32 - 8 = 5*n. Let j = 6 + n. What is the nearest to i in 1\/5, -0.4, j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -130 - -211?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -161.8 + 146. Let x = r - -15.9. Sort -1\/4, -2\/7, -4, x in descending order.\nAnswer: x, -1\/4, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - (-1998)\/(-72))*(-28)\/9 + 20\/(-15).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31909348331 less than -165.9?\nAnswer: 31909348165.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 6*(sqrt(63)\/sqrt(3)*-5)\/sqrt(7) + -3*sqrt(9)\/sqrt(3) + 4 + sqrt(108).\nAnswer: -27*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14172?\nAnswer: 2, 3, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 18741 = -4*d, -6*r + 4*r = -3*d + 14056. What are the prime factors of d?\nAnswer: 2, 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6830\/380 - 18)*4. Let j be (-8)\/7*5\/20. Which is the third biggest value? (a) s (b) 5 (c) 2\/3 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k**3 - 64*k**3 + 21*k**3 - 15*k**3.\nAnswer: -65*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 786 and 475268.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -7. Suppose -p + 4*i + 101 = v, 2*i + 42 = p - 61. Suppose 2*h - 64 = -4*f, -h - 2*h - 3*f = -p. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-10))\/(9\/(-24))*395\/237?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-1 + 10 + -4) - (-43 - -87).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -2. Let i be 2 + 4\/(-2) + t. Is 22 - (-1 - 2*i) 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 -9\/740 and 73\/363556?\nAnswer: 67257860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1))**(10\/3))**(1\/4) assuming n is positive.\nAnswer: n**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15, -26, -25, -6, 37, 110?\n\"Answer: w**3 - 18*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 137, 301, 479, 665, 853, 1037, 1211, 1369?\n\"Answer: -j**3 + 13*j**2 + 132*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**8*a**3)**38*((a**7*a)\/a**(-1))**(-4) assuming a is positive.\nAnswer: a**382","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 14580183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (13 - -4 - 26) - (-1 - 1)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-6)*(5 + 1). Suppose -v*b + 2 = -1. Calculate the remainder when b\/2 + (-6)\/(-4) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -240*a - 215. Let c(x) = 487*x + 431. Let u(p) = -6*c(p) - 13*j(p). What is the first derivative of u(b) wrt b?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -6*j. Let g be (-36210)\/(-15691) - 9\/(-13). Let d(p) = 3*p. Let h(r) = -r**3 + 5*r**2 + 8*r - 7. Let s be h(6). What is g*w(z) + s*d(z)?\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13854 divided by -2.\nAnswer: 6927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 1, -5, -0.4, 412?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 6:59 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12366 by -18.\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o**3 + 2*o**2 - o - 7. Let q(x) = -8*x**3 + 2*x**2 - x - 6. Determine 5*q(i) - 4*w(i).\nAnswer: -12*i**3 + 2*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -103 - -107. Suppose -b*u + 375 = -853. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 294 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 58834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 2:41 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -2\/9, 3\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2405 times 0.865?\nAnswer: 2080.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -4\/22720811?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 365 = -8700. Which is bigger: 1296 or c?\nAnswer: 1296","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77923, 83627, 89331?\nAnswer: 95035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -111816638.62 to the nearest 1000.\nAnswer: -111817000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 9*w - 2. Let v = -23 - -33. Calculate the remainder when b(v) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from twtwt.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17.3 - -17. Is -0.1 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 547*o + 109*o + 2 - 1. Let f be p(1). Let m = 1444 - f. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -12.6168 (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(320) + 1 + (sqrt(5) - (sqrt(80) + 4)) + (sqrt(45) - (sqrt(405) + -1*sqrt(405) + sqrt(405)))\/(-2*sqrt(441)))**2.\nAnswer: -216*sqrt(5)\/7 + 6823\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 9924?\nAnswer: 49620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/189 + -562\/945. Which is the closest to g? (a) -4 (b) 0.3 (c) -0.2 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2291, -9698, -22955, -42812, -70019?\nAnswer: -105326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 - 27*u + 16. Let j be n(-14). Calculate the remainder when 26 is divided by (22 - (-5 + 10)) + j*-1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.553 - 1.147. Let o = -17.8 + 21. Let t = x + o. Round t to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 6)*(-3*q**3 + 4*q**3 + 0*q**3 + (-3*q + 2*q**2 + 3*q)*(2*q + q - 2*q) - q + q - q**3).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5494.9 - -5496. Which is the closest to 1? (a) o (b) 0.077 (c) 3 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + u + 5*u)*((3*u - 2*u + 9*u)*(1 - 1 - 4) - 20 - 4*u + 20 + 4*u - 3*u + 0*u).\nAnswer: -344*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**5 - 5*m**4 - 2*m**3 + 8*m**2 = 0.\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136, -276, -414, -550, -684, -816?\nAnswer: -946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2110297)\/596414 - (-3 - (-9)\/6). Let o = -1\/6554 + z. Find the common denominator of (-37)\/(-48) - (-2)\/3 and o.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501\/41 less than or equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 98913060943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14 and 34.5.\nAnswer: -483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqwqqqwwqqqq?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0133 and 2353.\nAnswer: 2352.9867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v + 44*v - 544 = -148. Let l(c) = -c**3 + 2*c**2 - 2*c + 2. Let q be l(2). Let r = q + v. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**6\/45 - q**4\/18 + q + 19. Factor c(r).\nAnswer: 2*r**2*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 405\/(-126) + -1 + 4. Let y = 1\/14 - p. Which is the closest to 0.1? (a) -0.1 (b) -27 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.0716 - 0.9284. Which is the third smallest value? (a) 242\/7 (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 874 = 4*n - w, 5*w + 132 + 77 = n. What are the prime factors of n?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.3 - 20. Which is the third biggest value? (a) t (b) -5 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2383088271?\nAnswer: 3, 17, 107, 229, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 32cf33 (base 16) to base 15\nAnswer: 45b948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i + 26. Calculate the least common multiple of 22 and c(-4).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -759 - -4?\nAnswer: -755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x + 11. Let h(n) = -n + 3. What is 22*h(u) - 6*w(u)?\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 0.54, 31, -0.3, 28?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h**3 - 3*h**3 + 3*h**3)*(-7 - 5*h + 3 + 4*h) to the form o*h**4 + u + a*h + c*h**2 + m*h**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**3 + 7*y - 10*y + 3*y + 2*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*t - 57*t + 10*f = 8, 5*t - 3*f - 14 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(1120\/21)*-6*4\/(-36).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 21 (b) -1\/5 (c) -77 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.18*519\nAnswer: -93.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(14\/(-8)))\/(30\/105). Suppose -g*h - 232 = -6*h. Calculate the remainder when h is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1510218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2 - 2*p. Let n(w) = -w**3 - 17*w**2 - 11*w + 17. Let i(g) = -10*k(g) + n(g). What is i(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*b**2 + b - 13*b**2 - 3*b + (-4 + 4 + 2)*(2*b - b**2 - 2*b) + 3*b**2 - 2*b**2 + 0*b**2 to c + x*b**2 + n*b and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c = -13*c + 4. Let d(l) = -5*l + 12. Let x(t) = -3*t + 6. Let q(n) = 6*d(n) - 11*x(n). Determine q(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 100.93 to the nearest integer.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/13 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(18\/8)\/((-1218)\/116)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 33. Suppose 2 = q - u. What is the first derivative of -28 + 10*v**4 + 11*v**4 + q*v**2 - 3*v**2 wrt v?\nAnswer: 84*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406*p = 1325*p + 10316 + 5307 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 36 = -3*v. Let w be (12\/v)\/(6\/(-18)). Is (4\/2)\/(w\/(-138)) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1907 - 1906. Which is greater: 20\/59 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 4:20 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-5 + 1*sqrt(175) - 1*-1*sqrt(175)))**2.\nAnswer: -40*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 60, 166, 428, 924, 1732?\n\"Answer: 13*k**3 + 15*k + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*j + 20 = -n, 2*n + 5*j = -21. Suppose -n*b + 5*b = 5*f - 18, 5*b + 20 = 5*f. Suppose -f*r - 56 = r. Is -15 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z - 6*z - 8*z**2 + 5*z + (11*z**2 + 4*z**2 - 4*z**2)*(4 + 2 - 5) to q*z + y*z**2 + u and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 6*p**2 - 9*p - 12. Let m be h(-5). Suppose -4*g - m + 87 = 3*y, 0 = y + 3. What is the remainder when 64 is divided by g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 78441 + -19139561\/244. What is the common denominator of t and (-7 + 1)*(-33)\/(-8)?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 17*z**2 - 2*z - 37. Let h be t(-17). Sort h, -5, 2, -4.\nAnswer: -5, -4, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4473358 rounded to the nearest 10000?\nAnswer: 4470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -23*m - 176. Let l be d(-10). What is the highest common factor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4095570.57 to the nearest one thousand.\nAnswer: -4096000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 0*f + 2*f)*(2*f**2 + 5*f**2 - 4*f**2 + (3 + 3 - 4)*(-3*f**2 + 3*f**2 + 2*f**2) + 2*f - 2*f + f**2)*(-1 - 1 + 0).\nAnswer: -48*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 64159590 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3879.7 - 3874.7876. What is q rounded to 2 dps?\nAnswer: 4.91","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 17. Let z be (-16)\/(-8)*(-107)\/g. Let p = 166 - z. What are the prime factors of p?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 9 - 3 + 6)*((-3*f + 0*f + 5*f)*(3 - 5 + 0) - 6*f + 10*f + 10*f).\nAnswer: 140*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 - -42. Let l = q + 67. Solve 5*k = -4*a - 10 + l, 0 = 2*a - k - 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2 - 8*n - 1 + 3*n - n**2. Suppose -2*s + 2*k + 2 = -2, s - 2*k = 7. Calculate p(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(510) + sqrt(510)*1)\/sqrt(10))\/(sqrt(12)*3) + sqrt(136)\/(sqrt(8) - 2*sqrt(8)*-5)*4)**2.\nAnswer: 8993\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-77)\/(-540) - (-12)\/(-90). Let z(o) be the third derivative of 0*o**3 - o**2 + 0 + 1\/90*o**5 + 0*o + h*o**6 - 1\/54*o**4. Find c such that z(c) = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 2\/256532921?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -4) + (-7 - 0) + 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-3) - 4\/6. Let w(y) = 15*y - 3. Let i be w(3). Let p be -2 + 0 + i\/18. Which is greater: p or f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -61*u**2 - 122*u - 18. Let m(a) = -63*a**2 - 152*a - 19. Determine 5*l(o) - 4*m(o).\nAnswer: -53*o**2 - 2*o - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + (6*(sqrt(20) - sqrt(5))*6 + -3 - (sqrt(2000) + (sqrt(2000) - sqrt(2000)*1) + sqrt(2000))\/(sqrt(44)\/(sqrt(22)\/sqrt(2)))))**2.\nAnswer: -128*sqrt(5) + 1291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 729402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24348871711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1d2d6 (base 16) to base 12\nAnswer: -591b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4 + 0 = 0. What is the tens digit of (-5 - w)\/1 - -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 1128 = -4*r, 1105 = 5*q - 2*r - 29. Suppose -3*z + q = 5*n, -2*z - 248 = -4*n - n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from uuuuubbuuuuu.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -1960*s**2 - 2*s + 2. Let j(c) = 3926*c**2 + 4*c - 4. Give 4*j(a) + 7*y(a).\nAnswer: 1984*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 14.22.\nAnswer: 14.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -805474040 rounded to the nearest 100000?\nAnswer: -805500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 352 and 860530704.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5583 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 182903?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/16320384 and 25\/98208.\nAnswer: 179524224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -1084 + v + 1084. Let g(b) = 35*b**2 - 2. Let r(f) = -103*f**2 + 6. Let d(z) = -8*g(z) - 3*r(z). Give u(d(p)).\nAnswer: 29*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*8\/4*(-9)\/(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -13*x. Suppose t + 2*o - 36 = 0, x = 4*o - 9*o + 15. Suppose -4*q = -h - 10 - 13, -t = -3*q + 5*h. Solve -j - 2*j + 12 = -n, 15 = -q*n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v - 32. Let i be p(-9). Let z = 4 - 4. Which is the biggest value? (a) 0.02 (b) i (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21023 is divided by 146?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w + 24*w = 144. Calculate the greatest common factor of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 162 + -79. Let t = -88 + l. Sort 1\/8, 1, t in decreasing order.\nAnswer: 1, 1\/8, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**4*o**3 + 25*l**4*o**2 - 4*o**3 + 34*o with respect to l.\nAnswer: 8*l**3*o**3 + 100*l**3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -132.1 + 133.1. What is the third smallest value in 5, 0.18, 1\/6, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 5\/6*m**6 + 0*m + 0*m**3 + 0*m**4 + 11 + 13\/2*m**2 + 0*m**5. What is the second derivative of s(q) wrt q?\nAnswer: 100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 5*l**2 + 6*l - 3. Let z(b) = -b**2 - b + 1. Calculate -h(k) - 6*z(k).\nAnswer: -k**3 + k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 8. Let x be o(-4). Suppose -10 = x*b - 2. Suppose 5*q + 1 = -4. Which is bigger: b or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2394734.9 to the nearest 1000.\nAnswer: 2395000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 559.\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000383968 rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(297\/6)*1\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7067.64 + 7068. Which is the nearest to 1? (a) m (b) 0 (c) -1 (d) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -3\/7 (b) -3 (c) 1\/12 (d) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -111769*k**3\/6 + 2*k**2 - 5*k. Let m be y(-9). Let o = -394075 - m. What is o rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 20*j**2 - 737*j + 56. Let b(f) = 7*f**2 - 247*f + 21. Give -17*b(t) + 6*v(t).\nAnswer: t**2 - 223*t - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 543394 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from {b: 1, n: 11, v: 2, z: 3, y: 2}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1230 and 3678285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)*2 + sqrt(19) + -1*sqrt(19)*-5 + (2*sqrt(304))**2 + -5 + ((-2*(0 + sqrt(2736)))**2 + 0)*-2.\nAnswer: -20677 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a3b8 (base 13) in base 16?\nAnswer: -1a717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.6 + -4.6. Which is the smallest value? (a) 1 (b) o (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68175, 272562, 613195, 1090074, 1703199, 2452570, 3338187?\nAnswer: 4360050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*t**2*y*z + 2*t**2*y + 23*t*y - 2*y*z - 2*y wrt z?\nAnswer: 8*t**2*y - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4 = -2*k. What is the lowest common multiple of 14 and 19 - (-1)\/2*k?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 96 = 2*k - 9*h, 236*k + 3*h - 15 = 237*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -7*g**4\/12 + 7*g**3\/6 - 4*g. Find the second derivative of b(v) wrt v.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 708 - 709. Put f, 4, -22, 3 in ascending order.\nAnswer: -22, f, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -869699\/300 + 2899. Let j(p) be the third derivative of 0 - 1\/60*p**4 + 0*p**3 + 0*p - p**2 - i*p**5. Find y such that j(y) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -83*v + 1480. Give d(18).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-6))\/(-4) + (-8)\/(-6). Let b be (-8 - (-3 + 7))*a\/(-3). Solve -5 = 2*w - 2*j + 7, 3*w + b*j + 11 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rytf when four letters picked without replacement from yfytytyryt.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 16 = 2*n - 0*n, -5*t + 28 = -4*n. Let q(x) = -60*x - 4. Let b be q(n). Suppose -5*h + b = -19. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 8*i**2 + 7*i + 8. Let n be w(-7). Let s = 101 - 47. Let y be ((-9)\/(s\/(-20)) - 2)*30. Calculate the highest common factor of y and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -265, 1, 3, -1\/6 in ascending order.\nAnswer: -265, -1\/6, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 5*a**2 - 5*a - 1. Let b be l(-4). Suppose 77 = 3*k - 3*j - 19, -79 = -2*k + 5*j. What is the highest common factor of k and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -7. Suppose 2*z - 7 = r. Calculate the remainder when 20 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2)*q**(2\/11))**(-1\/81)*((q*q\/q**(2\/3))\/(q\/(q\/q**5)))**(-1\/2) assuming q is positive.\nAnswer: q**(1637\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 - 2 - 111*l**2 + 0*l + 111*l**2 + l to b*l**3 + o + t*l + z*l**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, h: 1, j: 3, i: 1, a: 5, r: 2}. Give prob of sequence rhad.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 12*n**2 - 19*n - 4. Let f be u(-12). Suppose -f = -13*k + 9*k. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.869 * 47.\nAnswer: -40.843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x. Let d(r) be the second derivative of 55*r**4 - 2*r - 1019. Calculate j(d(i)).\nAnswer: 1980*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -34. Let p = s + -75. Calculate the remainder when 5 is divided by p\/(-18) + (-4)\/18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25362 is divided by 56?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 366 - 361. Suppose 2*i - 48 + 46 = 0, -2*r + m*i = -765. Is r a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3650433378?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eieiieffiufwfuie. What is prob of picking 1 f and 1 w?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -1\/8737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -1\/6, 1\/2, -32, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 58 - -9925?\nAnswer: 9983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 11\/5, 1\/17, -1?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11997351 is divided by 3538?\nAnswer: 3531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 437404391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 546*c - 8892. Give h(9).\nAnswer: -3978","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2846 + 2846. Which is the biggest value? (a) 2 (b) -40 (c) y (d) -3 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 3*m - y + 6, 0 = m + 2*y + 8. Let v(d) = d**3 + 6*d**2 + 3*d - 3. Determine v(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 4*u**2 - 54*u + 4. Let a(r) = -r**4 - 5*r**2 + 54*r - 5. Let k(l) = 4*a(l) + 5*v(l). Find the second derivative of k(g) wrt g.\nAnswer: -48*g**2 - 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 615 = 2*l - 469, -3*l = 5*i - 1626. Suppose 5*t - 3*t + h - l = 0, 0 = -4*t - 5*h + 1078. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -101073 + 100872. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13b6 (base 15) in base 12?\nAnswer: 2539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91927030 by -707131.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, y: 1, s: 1, w: 1, p: 1}. Give prob of sequence ypw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8024, 8011, 8000, 7991, 7984, 7979, 7976?\nAnswer: 7975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3797045l?\nAnswer: 379.7045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/4, -2, -2\/9, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/108 and 127\/24?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -5*f - 15. Solve 0*t + f = 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 9:19 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + sqrt(612).\nAnswer: -1 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c. Let s be m(-1). Suppose -5 = -l + s. Solve t + k + 2 = l*k, 1 = -t + 4*k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, t: 1, v: 6, g: 3}. Give prob of picking 3 g.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*v - 39*p = -34*p + 87, p = -2*v + 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/7 + 4*j**3\/7 + 9*j**2\/7 - 36*j\/7.\nAnswer: -j*(j - 4)*(j - 3)*(j + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 11*m**2 - 3*m + 1. Let y be i(1). Let o be 7\/21 + (-3)\/y. Let j(a) = -a**2 + 2. Let p be j(o). Solve -2*t = p*t + 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 0*s + s - 1 - 5*s - s**2 + 3*s. Let q(l) = -4*l**2 + 2*l + 6. Let p(w) = -w**2 + w + 2. Let h(i) = -7*p(i) + 2*q(i). What is h(y) - 2*u(y)?\nAnswer: y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 3*l**2 + 2*l + 6. Let d be f(4). Let j(b) = -8*b**3 - 3*b**2 + 8*b + 16. Let m be j(d). Calculate the highest common factor of m and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -31, -14, 57, 200, 433, 774?\nAnswer: 1241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8\/3 + -2. Which is the nearest to 0.4? (a) -0.06 (b) t (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -6*b + 137. What is the remainder when 77 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -11, 1, -2, 2, -6 in increasing order.\nAnswer: -11, -6, -4, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8795 - -474959\/54. What is the common denominator of 43\/36 and d?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 80 = -7*d. Suppose -2*q - 3*q + d = 0. Suppose 3*w + q*b + 0 - 3 = 0, -b - 18 = -3*w. Solve -4*x = -2*p + 3*p + w, p = 4*x - 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1623494, -1623490, -1623488, -1623488, -1623490, -1623494, -1623500?\n\"Answer: -f**2 + 7*f - 1623500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 0 + 2*w**2 + 2\/3*w**3 + 0*w + 1\/30*w**5 - 5\/24*w**4. Calculate the least common multiple of 5 and z(3).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 1342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times -0.86135\nAnswer: 0.017227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 110*t**2 + 480*t + 1440.\nAnswer: 5*(t - 12)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12, 38, 72, 108, 140, 162, 168, 152?\n\"Answer: -g**3 + 10*g**2 + 3*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**6\/120 + 3*g**5\/5 - g**4\/4 - 16*g**3\/3 + 3*g**2 - 3. Is q(-33) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f + 10*f = 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.2 - -3. Let z = -33 + 154. Let b = z - 479\/4. What is the third biggest value in b, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 0 + 28. Let p be 8\/10*(-90)\/(-108). What is the second smallest value in t, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 123197653 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, 0.7, 77, 2\/5, -7\/3, 0.2, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -s**6\/2 - 2*s**5\/5 + 26*s**4\/3 - 94*s**3\/9 - 95*s**2\/6 + 100*s\/3 + 84. Determine w so that n(w) = 0.\nAnswer: -4, -1, 1, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7575 a multiple of 303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -296\/785?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4597519 or -4597517?\nAnswer: -4597517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 5*g**2 + 3*g - 1. Let p be x(-4). Suppose 0*q = -4*q + f + 56, -p*q = -3*f - 33. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67*150\/15075*225\/12*3*2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 4\/21*g**3 + 11\/2*g**2 - 43*g + 5\/84*g**4 + 1\/210*g**5 + 0. Let n(m) be the first derivative of k(m). What is x in n(x) = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence onqc when four letters picked without replacement from qpqncnqpnqnqoqqpq?\nAnswer: 1\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12319 + 12319 + v + 0*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*o - 29*o - 350 = 0. What are the prime factors of o?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -2\/5, -2\/33, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10 - (7422\/390 + -9). Suppose 5*z = -3*g - g + 25, 0 = 2*g - 10. Is p >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-13)*w\/w**(-13))\/(w**(2\/27)*w)**46 assuming w is positive.\nAnswer: w**(-1280\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2675113127.\nAnswer: 2675113127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 108*k**4 + 114*k**4 + k**2 + 7*k**2 + 2*k**3 - 213*k**4 to the form c + f*k**4 + a*k**3 + l*k + z*k**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**3\/2 + 5*q**2\/2 + 8*q. Let u(c) = 4*c - 6. Let o be 0 - -9*6\/(-9). Let s = o + 12. What is s*g(m) + 5*u(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5)\/10*(-10)\/(-105) and -113\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -7*l**3 + 10*l**2 + l + 8. Let g = 0 - -3. Let a(o) = -22*o**3 + 29*o**2 + 2*o**g + 2*o + 0*o**3 + 23. Let t(j) = -6*a(j) + 17*c(j). Factor t(f).\nAnswer: (f - 2)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -18*s - 6. Let w be d(-2). Calculate the highest common factor of 45 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 929457 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/312*(-240)\/32)\/((-5)\/2)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k - 10*k + 1 - 2*k + 4*k + 8*k. Suppose 11 = 4*x - 1. Suppose -4*n - 5*b + 22 = 0, 0*n - x = n - 3*b. Determine z(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -327\/5 bigger than -20067?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 2) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12932021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 96 = -z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 211\/5385870 and 23\/12699?\nAnswer: 91559790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -147.26989113 + 147.27. What is u rounded to six decimal places?\nAnswer: 0.000109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (3 - 3) + (-78 - -60)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4485*j + 4484*j - s = -9, 87 = -9*j + 3*s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22524 + 26890 = -963*u + 12688 - 21054 for u.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11410575 rounded to four decimal places?\nAnswer: 0.1141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -23 + (-14 - -46) + -20\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12 - 9154122.\nAnswer: -9154121.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 + 0 + (-36 - -30)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 5:43 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r + 1. Let k(l) = l - 1. Let z(f) = -4*f - 2. Let a(x) = -3*k(x) + z(x). What is the least common multiple of s(1) and a(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/7 + 5*d**3\/7 - 201*d**2\/7 - 59*d - 208\/7.\nAnswer: (d - 13)*(d + 1)**2*(d + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 30\/(-42) - 13\/(-21)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 4*h + 0*h)*(-2*h**2 + 0*h**2 + 3*h**2) + 2 - 22*h**3 + 0 + 3*h**3.\nAnswer: -17*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 36*j**3 + 423*j**2 - 110*j - 54. Determine w(-12).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 - 1041348.\nAnswer: -1041337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1*1\/4 - 19\/76\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 551*t**4\/12 + 11*t + 6. Let d(g) = g. What is u(d(s))?\nAnswer: 551*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 268*a**2 - 135*a + 130. What is the remainder when 2640 is divided by r(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 3, -1, 1, 117, 6 in descending order.\nAnswer: 117, 35, 6, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**3 - 9*x**2 - x + 4. Let j = 42 + -48. Let t be k(j). Suppose 0 = -l + 3*l + 2*s - t, 307 = 5*l + 2*s. Is 21 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 14 + (17 - (5 + 10)) - 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -873 + 333. Let u = -540 - t. What is the nearest to 27 in 0.3, u, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-67)\/16 + 2\/(-2) and (132\/112 - 1)\/((-29)\/(8816\/(-32))).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fflxxxxfjjlfffflf. Give prob of sequence jfl.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.227? (a) 2\/221 (b) 0 (c) -4\/3 (d) -0.5 (e) 5 (f) 2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.420143 + -1.42. What is n rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 11:16 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 204*c**2 + c. Let s be q(-1). Suppose 3*f - s + 44 = 0. What is the remainder when f is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110000 (base 3) to base 13.\nAnswer: -1bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 17c9506?\nAnswer: 17c9507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 7 = -32. Let k(t) be the third derivative of -t**5\/60 + t**4\/3 - 2*t**3\/3 - 15084*t**2. Calculate k(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192217762.\nAnswer: 2, 11, 23, 379877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 7. Let f = 19 + -22. Sort k, -4, f in ascending order.\nAnswer: -4, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6334.99 litres to millilitres.\nAnswer: 6334990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c - 4. Let q be d(-4). Suppose 3*i = -4*t + q, 0 = 5*t - t + 8. Solve 2 - 10 = -i*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/58338063 and -19\/91674099.\nAnswer: 641718693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3006*q + 1885*q - 22890 = -1884*q for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -15. Suppose -z + w = 3. Factor t**5 - 46*t**2 - 4*t**3 + t + 46*t**2 + z*t**3.\nAnswer: t*(t - 1)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + ((8 - 9) + 10 - 8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13\/20 - -3\/20. Let f = 124 - 127. What is the nearest to 2\/3 in u, -5\/6, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvf when three letters picked without replacement from {f: 12, o: 4, i: 2, v: 2}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 3\/8, -6, -4, 1, -17\/249?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2)*(2 - (-3 + 3)). Put -5, -223, l in descending order.\nAnswer: l, -5, -223","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80199?\nAnswer: 3, 7, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 - -115. Suppose 0*c = -2*c + p. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.251564775 rounded to 3 decimal places?\nAnswer: 0.252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10693 and 6734?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 546 - 491. Let g = l - 74. Which is the third biggest value? (a) -0.4 (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-27)\/15 - (-2107846)\/(-30))*(3 + 6). Round i to the nearest ten thousand.\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 5*a**2 - 3*a + 13. Calculate m(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -61 (c) -0.4 (d) -2\/7 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5552654*h**3 + 227948?\nAnswer: -16657962*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11686295 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (1*-42 - -3). Let g = 34 + m. What are the prime factors of (-69 + 4)\/(g\/4)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*(b*b**(-2\/3))\/b)*b)\/b**(-6))**16 assuming b is positive.\nAnswer: b**(320\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/13 (b) -3 (c) 2\/7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 43573.24t?\nAnswer: 43573240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -5, -4\/443, -31?\nAnswer: -4\/443","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -6*q - 6. Suppose -5*f - 4 = -3*f. Let s(c) be the second derivative of 0 + 1\/2*c**2 + 1\/6*c**3 - 2*c. Calculate f*m(b) - 11*s(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2 = 0, -l = -4*l + k + 77. Let u be ((-2328)\/(-10) - -1) + 112\/560. Calculate the greatest common divisor of u and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -8 - (-6 + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 2*n**2 + 2. Let d be l(-2). Suppose z - d*z + 12 = 0. Let a = 3 + z. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2313558 and 234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3585320 rounded to the nearest ten thousand?\nAnswer: -3590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d40581 + -3?\nAnswer: d4057d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-22 - -15 - 14 - -29).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -27*l**2. Let b(i) = 37*i - 24*i + 0*i. Give r(b(j)).\nAnswer: -4563*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) -0.3 (b) 1.3 (c) 252.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*h + 27 = 24*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**5\/60 - x**4\/24 + 67*x**3\/6 + 6*x**2. Is s(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 - 4*r**2 - 4. Let f(m) = m**3 - 3*m**2 + 2*m - 3. Let z be f(3). What is the tens digit of a(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18555 + -1?\nAnswer: 18554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 + 4*u**2 - 2*u**2)*(-15 + 53*u + 1 + 12).\nAnswer: 212*u**3 - 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1471, -5883, -13235, -23527, -36759, -52931?\nAnswer: -72043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 80, 276, 654, 1274, 2196?\nAnswer: 3480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1626 and -20626430.2.\nAnswer: -20626430.3626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539318 is divided by 38520.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1913*p**3 - 340*p**3 + 7 - 6.\nAnswer: 1573*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 57829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -8*l - 3. Let m = -27 - -26. Let r be n(m). Suppose 7*y = 3*y + 2*a + 6, 15 = r*a. Solve -k + 2*s = s + 1, y = -3*k + s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 r when two letters picked without replacement from {j: 1, c: 2, r: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*j = 6*j - 1035. Solve 10*l - j = 37 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -318802, -318813, -318830, -318853, -318882, -318917?\nAnswer: -318958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 23300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**3\/6 + 6*s**2 + 118542*s + 1. Let l(j) be the first derivative of -3*j**2\/2 - 1. What is b(l(h))?\nAnswer: -3*h + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u**2. Let h = 84 + -39. Let q be (h\/(-25))\/((-2)\/10). Let s(m) = -3*m**2 - q*m**2 + 15*m**2. What is j(s(i))?\nAnswer: 63*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**2 - 2 - o**3 + 2*o**2 + 0*o**3 as q*o**3 + h + i*o**2 + j*o and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 8 + 2 - 12 + 2*n**2 - 5*n + n**3. Let r be d(-3). What is the third derivative of 4*w**3 + 5*w**2 - r*w**3 - 36*w**3 wrt w?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.2 (b) 10\/43 (c) 3.62 (d) -14 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221 + -1200?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/3))**(7\/5)*(u**(-2\/3))**(1\/10))**14 assuming u is positive.\nAnswer: u**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1345505 or 1345507?\nAnswer: 1345507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((960\/(-28))\/3)\/(((-30)\/(-15)*-2)\/14)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45a (base 14) to base 6.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -58100322 at least -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q**3 + 2*q - 2. Let d(v) = 7*v**3 + v - 2. Give -6*d(a) + 7*r(a).\nAnswer: 7*a**3 + 8*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 601 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z**3 - 8*z**2 + 12*z - 13. Let y(u) = 3*u**3 + 4*u**2 - 6*u + 6. Let n(m) = -2*q(m) - 5*y(m). Let h be 1*(1 + -5 + -1). What is n(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207 and 191889?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-15 + 37) - -9?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5856733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 44.56783ng?\nAnswer: 0.04456783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*x - 2*x. Is ((-388)\/2 + -1)*x\/(-12) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = d + 4, 2*h - 2*d - 4 = -d. Solve 6*v - 6 - 12 = h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from ppphpppppppppptppp.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - (1 - 2))\/(18\/(-198)). Which is smaller: -39\/4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 1, 3, 27 in ascending order.\nAnswer: -47, 1, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -697 - -469. Calculate the remainder when (f\/8)\/((-3)\/6) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/18)\/((-10)\/(-45))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -234*d + 1826. Calculate q(7).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -5752420.843116.\nAnswer: -5752420.843116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -569, -546, -499, -422, -309, -154?\n\"Answer: f**3 + 6*f**2 - 2*f - 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2529, 7, -7 in ascending order.\nAnswer: -2529, -7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**5\/80 + 29*a**4\/32 - 7*a**3\/2 - 35*a**2\/2 - 25*a. Let o(m) be the first derivative of u(m). Factor o(q).\nAnswer: -3*(q - 28)*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 + 23. Let t be (-5)\/(-10) + g\/(-4). Suppose 0 = t*a - 4*a + 8. What is the remainder when 22 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 472 = -4*s, 5*s + 53 = x - 71. Suppose n - 3*p - x = 863, 4*n + 2*p - 3914 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -269 or -271?\nAnswer: -271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15834 rounded to 3 dps?\nAnswer: 0.158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 172*g + 19*g + 20, 0 = 3*g + f - 9 - 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 8:13 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 52 + 8. Let b(q) = q + 1. Let t be b(-1). Suppose -x = w - t*w. What is w rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2197*r - 7. Let w = 428 - 424. Is l(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1990348259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1547996204 to the power of 1\/2, to the nearest integer?\nAnswer: 39345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7 + p + 3*p - 6*p with respect to p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*((-714)\/980 - (-13 + (-88)\/(-7)))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.5496 - -3.88. Let z = 0.0186 + y. What is z rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 17*d - 370. List the prime factors of d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 8 - (8 + 9 - 4 - (3 - -26))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 7*t**2 - 9*t - 12. Let g be h(-8). Let m be g - -2*(4 + -2). Solve m = -l - l + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*k + 14616. Let m = -643039\/44 + k. Find the common denominator of -57\/10 and m.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*d = 33, -9*k = -12*k + d - 20. Let h = 306\/11 - 28. What is the third biggest value in h, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.2 + 1.6. Which is the closest to 1? (a) -5 (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*p = 83*p + 281590. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*t = 3 - 11, 20 = -4*t. Let r(n) = -35*n + x - 2. Is r(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jc when two letters picked without replacement from kfjgc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 133727508 to the power of 1\/4, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(2736) - -3*sqrt(2736)) + (4*sqrt(2736)*2)**2)*-2 + 5)*-3.\nAnswer: -1152*sqrt(19) + 1050609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/21)\/((-2)\/14*135). Which is smaller: d or 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3941 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m - 3*m - 5*b - 70 = 0, 0 = 6*m - 3*b + 13 + 53 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -3. Suppose 2*m - 4*m = -8. Suppose m*a = -3*o + 41, -2*a + o = -4*a + 23. What is the remainder when z is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + 3*sqrt(1053)*2)**2.\nAnswer: -227448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**3 - 2*k**2 - 2*k - 38. Let m be (-4)\/(-22) - (-136)\/(-22). List the prime factors of x(m).\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 less than -0.2739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 137 + -137. What is the second smallest value in -0.4, 3\/8, 4\/25, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10620 divided by -2655?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -3. Suppose -s - s + 6 = a. Suppose 0 = 2*p + s*p - 15. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*o**2 + o**3 - 3 - 2*o**4 + 2*o + 4 + 71*o**2 - 32*o**2 to the form r*o**4 + u*o**2 + p*o + i + y*o**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3551 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -140*c - 146 + 566 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 8:46 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41*n**3 - 749 + 749 + 0*n**3 + 4*n**3 - 5*n**3 + (3*n + 0*n - n)*(-4*n + 3*n - 2*n)*(7*n - 4*n + 7*n).\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4*d - 1 - 1)*(13*d + 2*d + 2*d).\nAnswer: 68*d**2 - 34*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = n + 2*n. Let l = n + 9. Find z, given that -z + 5*z**3 - 1 - 2*z - 6*z**3 + l*z - 3*z**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 5 - 6)*(-5 - 6*g + 3 + 36*g) in the form w + p*g and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -357 and 2.1.\nAnswer: -749.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 3*s**2 + 5*s - 6. Suppose -2*g - 2*o - 4 = -4*o, -5*g - 10 = -2*o. Let r = g - -5. Calculate the remainder when 34 is divided by m(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence roo when three letters picked without replacement from orrosrrqqooeeorrro?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 24 = -4. Let i(d) = -d + 19. Calculate the remainder when 29 is divided by i(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1981 + 66*c - 1981 to k + j*c and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 8*k + 99 - 269, -461 = -5*v - 4*k + 84 for v.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**8\/10080 - q**7\/2520 - q**5\/60 - 3*q**2. Let g(o) be the third derivative of u(o). What are the prime factors of g(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 94.5589 to one decimal place.\nAnswer: 94.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.1, -0.5, -125 in descending order.\nAnswer: 4, -0.1, -0.5, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -6*x**3 - 34*x**2 + 111*x - 13. Calculate b(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.574 and 293.\nAnswer: 293.574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -11*i**2 + 0*i**2 - 2 - i**3 - 11 - 11*i. Let x be v(-10). Let j be 2\/(-2)*(-5 - -1). Sort j, 5, x in decreasing order.\nAnswer: 5, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5 = 0, -4*k - 12*c = -17*c - 9115. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 not equal to 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + (-2260)\/(-10170) + 654\/(-27) + -1?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*x = 0. Let c(n) = 7*n - 2*n + x*n - 3*n. Let k(y) = 3*y**2. Give c(k(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.003 (b) -1\/3 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 41*j**3 + 150*j**2 + 17*j - 39. Let z(y) = -7*y**3 - 26*y**2 - 3*y + 7. What is -3*p(w) - 17*z(w)?\nAnswer: -4*w**3 - 8*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*w = -9880, -2*l - 4*w - 55 = -3983. What is the remainder when l is divided by 90?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from qwqlqllwdwlqlwwulwww.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-153) - 582\/510*-2.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -2*u + 13, 18*j - 27*j + 22*j = -2*u + 25 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-140)\/21)\/(28\/(-42))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21294?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 17*l**2 + 16. Let x be f(17). Solve -a + 3*d + 10 = 0, d - 4*d = 2*a + x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6 + 7 = -f, 46 = 4*k + 2*f. Let y = -1 - -2. Let o = k + y. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18068721 by 11.\nAnswer: 1642611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -213, -234, 9 in ascending order.\nAnswer: -234, -213, 1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (5 + -5 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 26 = -6*x. Let p(l) = -6*l - 17*l**x + 8*l**2 + 8*l**2 + 2*l + 2. Determine p(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 8. Determine n(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37335 divided by -95.\nAnswer: -393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + h + 2*h)*(2903*h**2 - 2929*h**2 + 4*h - h).\nAnswer: 52*h**3 - 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 3*i**2\/2 - 2*i - 7. Differentiate s(r) wrt r.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*v - 45 = -63*v. Solve 4*j + j = v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/40 and (391\/828)\/((4\/(-3))\/(-2))?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k. Let w = 13 + -5. Suppose -3*t - w = -5. Let b(z) = 6*z + 1. Give t*b(f) - 5*g(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z + 14*z + 6 - 7 + 4*z. What is the units digit of w(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -502 - -258. Let j = 501847\/2065 - -119\/295. Let y = j + d. Which is the third smallest value? (a) y (b) -1\/2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/15 - (592\/(-90))\/(14\/21).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.4, -128663, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 30*c**3 - 3*c**2 + 16*c - 22. Let f be q(2). Calculate the greatest common divisor of 34 and f.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0816 rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 5*r = u + 7, 2*u - 13 = -r. Calculate the least common multiple of u and 19\/4 + 2\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2432.573 and 3?\nAnswer: 2435.573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/5)\/(d\/d**(-3)*d))**(-24))**25 assuming d is positive.\nAnswer: d**2760","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2 - -1) + 6 - (-11 - (29 + -49))) + -41.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.453 rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 14*x - 3*x - 156 = 0 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x - 30 = -54 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -4\/5, -0.6, -0.3, 3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(6*(-2*sqrt(270))\/(sqrt(50)\/sqrt(5)*-5) + 5).\nAnswer: -36*sqrt(3) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1408214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 14*b - 13. Let p be x(13). Suppose -5*v - 2*t - 15 = p, -3*v - 2 = t + 8. Put -4, -1, v in increasing order.\nAnswer: v, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -9, -5 in descending order.\nAnswer: 13, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 146 + -1 - 66 - 57\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 5*u**7\/462 + u**6\/33 - 47*u**5\/330 + 4*u**4\/33 - u**3\/22 + u**2 - 469*u. Determine h so that d(h) = 0.\nAnswer: -3, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 1850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -237\/14 - -115\/7. Sort -5\/7, v, 0, 2\/17 in descending order.\nAnswer: 2\/17, 0, v, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 60 + 65. Is o greater than -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4150802 and -0.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*y = -10. Suppose 4*s - 5*s = 7*s. Let t be (-9 - -8)*(2 + s - 2). Solve -5*b - y*z + 0 - 45 = t, 0 = 2*b + 5*z + 30 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (1 - 25\/10). Is c less than 2.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b + 1. Let p be (2 + 2)*2\/4. Let i(k) = k**3 + 2*k**2 - 5*k - 3. Let c be i(-3). Let u be p*(c - (-21)\/(-6)). Calculate j(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -179*w - 217. Let k be m(-3). Calculate the greatest common factor of k and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 59 in 0, -0.1, 3, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2944)\/(-1472))\/(2*(-3)\/66)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -292.4 * 0.2.\nAnswer: -58.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 19)\/((-3)\/2*14)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-18)*(110187\/847)\/(-53)?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 162092424 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1505139 and 101455.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 + 0)*(-12*n**4 - 29*n**4 + 10*n**4) - n**4 + 0*n**4 + 2*n**4.\nAnswer: -92*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000051561 to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -39 and 1022.\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 14*t**3 - 31*t**2\/2 + t - 100. Find the second derivative of s(h) wrt h.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/2 - 313*f - 579336.\nAnswer: (f - 1434)*(f + 808)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5517*d - 5512*d - 70 = 0 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.65 + -9.25. Let r = -1164\/5 - -232. Let d = -0.09 + 5.09. Which is the third smallest value? (a) r (b) p (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 68*i**2 + 4*i + 2. Suppose 417 = 13*g - 285. What is the remainder when o(-2) is divided by g?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000187429 to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tqqt when four letters picked without replacement from tstqqqqyytsqqyt.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of 9\/8*u**4 - 27*u**2 + 0 + 5*u**3 + 0*u. Find the first derivative of x(m) wrt m.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -429 + cc0?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**4 - 1 + 1)*(2*t + 3 - 3) + t**5 + 3*t**2 - 3*t**2 + (2*t + t - 5*t)*(t**4 - 6*t**4 + 3*t**4).\nAnswer: 7*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22877\/240597 - 2\/3591. Are i and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/((-12)\/15*20\/(-8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*q - 25 = -65*q. Let n(y) = -4*y + 1. Let h(w) be the first derivative of -w**2\/2 + 11. Calculate q*h(x) - n(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 29 = -4*h, 4*b - 4*h - 17 = -1. Calculate the least common multiple of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -16 - k + 19 + 5*k - 2*k. Calculate the remainder when 26 is divided by d(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-186*g + 89*g + 35*g)*(3 - 4 + 2)*(3 + 3 - 1) in the form u + w*g and give w.\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -528, -2751, -4990, -7251, -9540, -11863, -14226?\nAnswer: -16635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/27 and 73\/225.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*d**4 + 4*d**4 - 4*d**4 + (5 + 2*d - 5)*(d**3 - 2*d**3 - 3*d**3).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8057 - 8056.6. What is the closest to 2 in 5\/2, b, 0.1?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b8a6c (base 15) to base 14.\nAnswer: 6a4859","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/42*-3)\/((-12)\/21).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7671\/166754 - 19\/602. Let x = 24131\/2216 - n. Calculate the common denominator of -41\/2 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-210)*810)\/(21\/(-49)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 1)*(-2)\/(-10060). Let a = -4441435699\/223970810 + 111145\/6361. Let m = a - h. Find the common denominator of m and -11\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1305 - 2*n - 1077 + 594 - 2*n.\nAnswer: -4*n - 1788","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(((v\/(v\/v**8))\/v)\/v))\/(v**(-1\/3)\/v*v)*v**(-1\/8)\/v**(-1\/10)*(v**0)**(2\/21)\/(v*v**(-2\/3)*v*v*v*v**(-8)) assuming v is positive.\nAnswer: v**(-1\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7871)\/(-12) - (-3)\/(-6). Let m = v + -655. Let r = 1\/12 + m. Which is bigger: 0.2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 68690.866.\nAnswer: -68699.866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 447 = 311. Suppose 3*u = -4*a + j, 2*a + 0*u + 2*u = 380. Suppose 0 = -0*q + 2*q - 4*d - 78, 5*q - 3*d - a = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 7*n + 8. Suppose 4 = q - 2. Let y be l(q). Factor 14*g**3 - 16*g - 9*g**3 + 3*g**3 - 12*g**y + 16 + 4*g**4.\nAnswer: 4*(g - 1)**2*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3010310 (base 4) in base 15?\nAnswer: 3aeb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 7*m**2 - 15*m + 29. Let s be d(-9). Suppose -11*q = -10*q - s*g - 150, 3*q = -2*g + 490. Is q a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*c**8))*c*c\/c**(1\/11))\/((c\/((c\/c**(-2))\/c)*c)\/c)**(1\/47))**0 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l + 4*l - 4*l + 25*l**2 - 34*l**2 in the form h*l + j + g*l**2 and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -27*c - 63. What is the least common multiple of 405 and q(-4)?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 672311 or 7395430\/11?\nAnswer: 672311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -17154992\nAnswer: -34309984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -11 (c) -207 (d) 0.013\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/4 + -1\/4. Let p(a) be the second derivative of h*a**3 + 0 - 7\/12*a**4 - a + 0*a**2. Find the second derivative of p(i) wrt i.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b + 23. Let c be y(-5). Solve 6 = -c*q, 5*l + 5*q + 15 = -0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59.1 - -59. Which is the nearest to t? (a) -0.3 (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 325426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.492791ml in litres?\nAnswer: 0.003492791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -370 divided by -1?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 187057.3l in millilitres?\nAnswer: 187057300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 511933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2 + 11*l - 11. Let n(j) = -j**2 + 4*j - 4. Let q(m) = 11*n(m) - 4*z(m). Determine a so that q(a) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 4*z**2 - 13*z**2 + 4*z**2 - 2*z**3.\nAnswer: -2*z**3 - 13*z**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 44391 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**2 + 2*w**2 + 3*w**2 + (0 + 0 + w**2)*(0 - 1 + 2) + 0*w**2 + 0*w**2 + w**2 + (2*w - w - 3*w)*(-w + 0*w + 0*w) as l + u*w + a*w**2 and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 2 (c) 0.3 (d) 70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 2*w + 2*w)*(13*w + 4*w - 23*w)*(3 - 4 - 2).\nAnswer: 54*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -f - 3. Calculate the remainder when (19 - (f - 3)) + 4 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -910*c = -901*c + 42 + 21 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 4:36 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.0221 - 13.3501. Round u to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, t: 5, a: 1, d: 2, g: 1, h: 5}. What is prob of picking 1 g and 3 t?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 7*i**2 + 3*i. Let v(a) = 4*a**3 - 34*a**2 + 14*a. Let x(u) = -14*m(u) + 3*v(u). Find the third derivative of x(k) wrt k.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/17 (b) -1\/7 (c) -2 (d) -5 (e) -68\/9 (f) -0.06 (g) -0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vvtv.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4170590 a multiple of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -3 and 71.77754 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**4\/4 - k**3 - 7*k**2. What is the tens digit of o(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 63 - 1\/2*d**2 + 4*d. Let x(v) = 1. Let w = 11 - 6. Give w*x(p) - o(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/3 + (-3)\/(-3). Let f = -24.4 + 0.4. Let r = f - -23.9. Which is the smallest value? (a) -2 (b) r (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and -0.0540646?\nAnswer: 1.0540646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/(-338)*-26)\/52.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**5\/20 + 3*l**4\/4 - 7*l**3\/6 + 7*l**2\/2 - 6*l. Is r(7) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 2)*(18 - 15*x - 18) - 2*x + 2 - 2 - 17*x - 128*x + 76*x to the form t + b*x and give b.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/20 of a kilometer?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-38) + (-29106)\/(-8778)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*x - 44*x - 151*x.\nAnswer: -237*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -205*p**2 - 5*p. Let b(n) = 205*n**2 + 6*n. Let o(x) = 6*a(x) + 5*b(x). Let i(g) = g. Give o(i(k)).\nAnswer: -205*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 8:00 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.54328nm to micrometers.\nAnswer: 0.03854328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*s = -12, 5*y - s = -0*s + 10. Let m be 6\/y - 3 - -223. Let x = 317 - m. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 624 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s + 5. Let m(d) be the first derivative of 7*d**2\/2 + 10*d - 86. Calculate -5*j(a) + 2*m(a).\nAnswer: -a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - 20. What is the third derivative of y*s**2 + 3*s**2 - 16*s**6 - 2*s**2 + 9*s**2 wrt s?\nAnswer: -1920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -165 not equal to -163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(234)\/(sqrt(54)\/sqrt(144)))\/((sqrt(9) - -4*sqrt(225))\/sqrt(3))*4.\nAnswer: 16*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 84 and -21.\nAnswer: -1764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26 and 0.118336.\nAnswer: -3.076736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-877*k**2 + 118 + 437*k**2 + 437*k**2)*(15 - 20 - 13)*(-k + 4*k - k) in the form n*k + z*k**3 + j + h*k**2 and give n.\nAnswer: -4248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, z: 1, c: 2}. What is prob of sequence cs?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 186 + -182. Let k be (0 - -185) + (y - (3 + -3)). Suppose 3*c + g + g = 81, -5*c = -3*g - 135. Calculate the highest common divisor of k and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**3 - 16*n**2 - 6*n. Let z(t) = -t**2 - t. What is -c(r) + 6*z(r)?\nAnswer: -4*r**3 + 10*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -198*m + 5973 - 5973 as k + j*m and give j.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.44 and -4.1.\nAnswer: -1.804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - 2*b - 9 - 9*b + 9 + 3*b - 5*b + 0*b + (-2 - 5 + 5)*(2*b - 3*b + 2*b) + (-2 + 6 - 2)*(b + 4*b - 3*b) + 0*b - 4*b + 3*b as d + j*b and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*g + 20 = x, 3*x - 15 = 4*g. Let s be 6\/2 + -6 - -3. Suppose 0*p - 2 = -p, -3*o + 5*p - 1 = s. Solve 3 = -5*a + 2*u, x*a + o = u - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 3. What is the derivative of 1 - 2*s - v + 3 wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 328 + -1598. Round h to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 21233.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.3 - 19.3. Which is the fourth biggest value? (a) 0.5 (b) -3\/5 (c) t (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1\/3, -1\/205, -1, 5 in descending order.\nAnswer: 5, 1\/3, 0.2, -1\/205, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -192081\/37 + 5191. Let c = -214 + 629\/3. Calculate the common denominator of x and c.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1152) + -5 + 4*sqrt(32))*4)**2.\nAnswer: -7680*sqrt(2) + 51776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 1009244 = -3694625. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 3)*(-d**2 + 2*d**2 + 0*d**2) + 3*d**2 - 3*d**2 + d**2 + d - d + d**2 - 11*d**2 + 99*d**2 + 68*d**2 as t + g*d + x*d**2 and give x.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-16))\/((-2)\/(-24)). Let a = -6 + w. What is the derivative of t**3 - 1 - 3*t**a + 2 wrt t?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2625 + -6?\nAnswer: -2634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37162 is divided by 28.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46*c**3*j - 157219*c**2*j - c*j - c - 415*j - 73374 wrt c?\nAnswer: 276*c*j - 314438*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**3\/2 - 5940831*f**2\/2 + 11881671*f\/2 - 5940837\/2 = 0. Calculate f.\nAnswer: -1980279, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 1882 = 2838. Let k be 5\/(1 - 1 - -1). Suppose k*u - u + t = 0. What is u rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by 5061.\nAnswer: 13\/1687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*w - 56. Suppose 0*c - w = -5*c + r, 8 = -2*c - 3*r. What is u in 6*u**4 + 14\/5*u + 4\/5*u**3 - 28\/5*u**c - 2\/5 - 18\/5*u**5 = 0?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 - 1. Let i = 2 + -2. Let z = -242 - -242.03. Which is the third smallest value? (a) i (b) j (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 8789 = 3*j, -q + 1753 = -0*q - 3*j. Suppose 894 + q = 7*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 1. Let v(o) be the third derivative of -o**5\/30 - 2*o**3\/3 + 5*o**2. Let u = 4 + -5. Calculate u*v(r) - 4*q(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-3)*(z*z\/(z*(z**(1\/2)*z)\/z*z))\/z)\/(z\/(z**1\/z))**(2\/15))**(16\/9))**(2\/83) assuming z is positive.\nAnswer: z**(-2224\/11205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 2 + 2. Calculate the common denominator of t\/(-6)*-29 - 2 and -57\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 + 6.4. Let t = 5.6 - r. Let s = -3.95 + -0.05. Which is the biggest value? (a) t (b) s (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = h - 81, -3*n - 4*h + 43 = -9*h. Let r be 6\/(-8) + 12\/n. Let u be 1\/2*(-1)\/3. Which is bigger: u or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 4:15 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159996473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 74, 69, 52, 17, -42, -131?\n\"Answer: -l**3 + 2*l + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2. Let k(v) be the third derivative of v**5\/120 - v**3\/2 + 4*v**2. Let b(f) be the first derivative of k(f). What is b(n(u))?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (7\/(-28))\/(((-1)\/(-232))\/((-1)\/34)) and -25\/27.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38755616 divided by 2?\nAnswer: -19377808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(2 - -2)*3. What is the greatest common factor of m and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 70*y - 63*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/6 - 9*d\/2 - 14\/3.\nAnswer: (d - 28)*(d + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1695 + -1685. Solve o - t = -14 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 51 = -13*d + 16*d, 4*b = 2*d - 56 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 1\/7, 0.035, -1, -5, 0 in increasing order.\nAnswer: -5, -1, 0, 0.035, 1\/7, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -3, 0.28, -13, 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1468449 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**8\/84 - q**7\/70 - q**6\/24 + q**5\/20 + q**4\/24 + 9*q**2\/2 - 4*q. Let x(u) be the first derivative of h(u). Factor x(z).\nAnswer: z*(z - 1)**2*(z + 1)*(4*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooomooomooooooomo. Give prob of picking 2 o and 1 m.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -124 - 136*v - 109 + 131*v + 36 in the form l*v + q and give q.\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - c**3 + 0*c)*(1992 + 158 - 168).\nAnswer: -1982*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24900 and 4065900?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.696175 kilograms to milligrams.\nAnswer: 7696175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -67*w**4\/12 + 14*w**3\/3 + 35*w**2. Let z(i) = -i. Let f(o) = -p(o) + 3*z(o). Is f(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 11) to base 14.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2908 - 11631\/4. Which is the smallest value? (a) 0.2 (b) q (c) -83\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10000021 + -12?\nAnswer: -10000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 87371 divided by 123\nAnswer: 2131\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 15*a - 11 + 9 - 46*a + 7. What are the prime factors of b(-2)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + -19. Suppose -l = -1 - 0. Let g = 19 + l. What is the remainder when g is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281548.\nAnswer: 2, 59, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 1239.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 394*d**3 - d**2 - 1492*d - 2988. What is q(-2)?\nAnswer: -3160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 4*g**2 + 198*g + 44. Give l(-12).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -627*c**4 - 11*c**3 + 35*c**2 + 2*c + 6 wrt c?\nAnswer: -15048*c - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 100*r**2 + 433*r - 2. What is u(3)?\nAnswer: 2197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1074?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -706\/15*i + 4\/15 - 142\/3*i**2.\nAnswer: -2*(i + 1)*(355*i - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 277611865*p**3 + 241*p - 1890135.\nAnswer: 1665671190*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 8*v - 16. Let a be k(2). Solve -2*q = 3*q + 10, a*q + 8 = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 3*y + 8. Suppose 2*m - 24 = -y*u - 2*u, -2*u = 4. Suppose 19*z - m*z = 105. List the prime factors of z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23\/60 - 2\/15. Are j and 3\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k - 468 = -13*k. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 6*w + 4. Let b be f(-6). Let j = -4 + 6. Let y(o) = -b*o**j + 3*o**2 - 2*o**2 + 4*o**2. Let k(u) = -17*u**2. Calculate k(y(m)).\nAnswer: -17*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.059608ms to microseconds.\nAnswer: 9059.608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, l: 4, e: 5}. What is prob of sequence etee?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/11 - (-180)\/22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/22*-15*(8\/(-6))\/2.\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -1. Let f(u) = u - 2*u + 3*u - u**3 - 4*u**2 + n. Let c be f(-6). What is c rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9441*a - 1369674 = 5130*a for a.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 99744612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrv when three letters picked without replacement from ccrcrccccrccrrccvc?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.58 and -0.03836.\nAnswer: 0.0222488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 650 and 650.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1065*d + 1053*d = -36. Solve 3*q - d*w = 12, -10*w - 5 = -15*w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 903, 3033, 7181, 14019, 24219, 38453?\nAnswer: 57393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3 - 89. Find the third derivative of -l*c**4 - 10*c**2 + 86*c**4 - 18*c**6 wrt c.\nAnswer: -2160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 544?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvwvvvwwwwwv. What is prob of picking 1 w and 1 v?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -5. Suppose d*q + 80000 = q. What is q rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -10. Suppose -h*g - 2 = -0. Sort 9, g, -3.\nAnswer: -3, g, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b. Let v(t) = -2*t - 1. Let f(k) = 0*k + k - 6*k**2 + 2*k + 4*k**2. Let n be f(2). What is n*v(u) + 2*d(u)?\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -77 - -80. Let h(k) = -y*k**2 + 5*k**2 - 6*k**2 + 5*k**2. Let v(c) be the third derivative of -c**5\/30 + c**2. What is v(h(x))?\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7892, -31454, -70654, -125450, -195800, -281662, -382994?\n\"Answer: 7*s**3 - 7861*s**2 - 28*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2842, -4467, -6092?\n\"Answer: -1625*v - 1217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 20*p**2 + 49*p + 53. Calculate u(-22).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -144194, -576648, -1297366, -2306348, -3603594, -5189104?\n\"Answer: -144132*g**2 - 58*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b. Calculate z(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 2:27 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10 - (1 - 1))\/2. Suppose -2*w + 3 = -r. Let o = -5.08 - -0.08. What is the closest to 2\/3 in 2, o, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -8*h**2 - 4*h - 6. Let j be ((-2)\/(-3))\/(6\/(-9)). Let v(d) = -d**2 - d - 1. Give j*o(g) + 6*v(g).\nAnswer: 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3.991357 tonnes?\nAnswer: 3991.357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*s + 38*s + 3 - 2)*(3*s + 3*s - s).\nAnswer: 70*s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 3*k. Let l be n(-3). Let t be (-48)\/26 - 0 - (28 - 30). What is the closest to l in -0.4, -2\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10 - (-3*(-10)\/360*-24 + (-1 - -10)). Suppose -4*h = n - 1, -5*n = -4*h - 6 + 1. Suppose h = -l + 6*l. Solve m*i + 6 = l, u + u = 2*i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1308 divided by -327\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3281017*g*h**5 - 2*g*h**3 + 2*g*h**2 + 183*g*h + 2*g - 433*h - 6 wrt h.\nAnswer: 196861020*g*h**2 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*f + 12 - 12 in the form g*f + y and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 275, 600, 1147, 1922, 2931, 4180?\n\"Answer: q**3 + 105*q**2 + 3*q + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + 5 + -3 + 1*sqrt(192)\/sqrt(4))**2.\nAnswer: -156 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-6))\/(40\/(-48)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*d**4 - 6*d**4 - 2*d**2 - 147 + 148 in the form k*d**4 + y*d + c*d**2 + l*d**3 + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17 + 17 - 12*n**3 + (0*n - n - n)*(n**2 + 2*n**2 - 2*n**2).\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25 less than -6.52?\nAnswer: -6.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/(184\/16) - 8\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2657 - -669. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -324 + 309 + 1 + 30 + -3 + 0 + 103\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/7148 and 1\/180487.\nAnswer: 721948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36429375.53 minus -54.173?\nAnswer: 36429429.703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/61452 and 131\/1242.\nAnswer: 1413396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3186\/(-24) - 0)\/(2\/(-8)). Calculate the greatest common divisor of h and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -4, 0.9, -3, -2, 8394?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 10. Let y(g) = -g - 1. Let n(c) = -6*c - 6. What is d*y(o) - n(o)?\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*g*s**3 + g*s*x - 209*g*x + s**3*x - 1152*s**2 - 99*x with respect to x.\nAnswer: g*s - 209*g + s**3 - 99","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -4. Suppose -3*z - 2*x - c*x = 13, -5*x - 33 = -2*z. Solve z*t - 21 = -2*g + g, 5*g - 20 = -3*t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/6 of a week in minutes?\nAnswer: 52080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*(-4 + (sqrt(605) + 3*sqrt(605))*3 + -2) + 3)**2.\nAnswer: -11880*sqrt(5) + 784305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190, -381, -578, -781, -990, -1205, -1426?\nAnswer: -1653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -28 - -57419\nAnswer: 57391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72845 is divided by 3306?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38712*v**4 - 144865*v**2 wrt v?\nAnswer: 929088*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 132 - 132.5. Which is the closest to -2? (a) o (b) 3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 10:08 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + s)*(3 + 2 - 4) + (4 + 2*s - 4)*(71 + 6 - 315).\nAnswer: -475*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, 7, 205, 3, 11, 0 in descending order.\nAnswer: 205, 11, 7, 3, 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*o - 2*k + 8 = -247*o, 0 = 2*k - 10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*p = -70, -2*q + 5 = p - 8. Let k = 12 - q. Suppose -x + k*x = 58. What is the remainder when x is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -418088895 + -19.8737.\nAnswer: -418088914.8737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-20))\/(10\/40).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 210203?\nAnswer: -210211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 712976?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -99.08334547+-0.01\nAnswer: -99.09334547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**4\/6 + x + 211. Let g(u) = 7*u**2. Calculate g(f(v)).\nAnswer: 28*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21390, 21388, 21386, 21384, 21382, 21380?\nAnswer: 21378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -49345*h - 5575993. Determine x(-113).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 410121103 (base 5) to base 13.\nAnswer: 457a83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 2 = -w + 4*z, -w - 8 = z. Let k be 0 + 2 + 1 + -1. What is the nearest to 2\/7 in 0, k, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41230 divided by 8246?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*b**3 - b**4 + 23*b**3 - 36*b**3 + 1 to y*b**2 + q*b**3 + m*b + c*b**4 + j and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 11*h**2 - h - 23. Suppose 0 = 133*a - 130*a - 3*y + 12, -3*a - 5*y = 68. Give l(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-2 + sqrt(2))*-5)**2.\nAnswer: -90*sqrt(2) + 131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (13\/(65\/(-450)))\/(-1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 124 from 0.2.\nAnswer: -123.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + 513. Let r = v - 374. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 32, -81, 1059 in descending order.\nAnswer: 1059, 32, 5, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) 0.5 (b) -4 (c) -2\/11 (d) -3\/76 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 7*p**6\/135 + p**5\/45 - 35*p + 55. Let a(m) be the first derivative of q(m). Suppose a(u) = 0. What is u?\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1137?\nAnswer: 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 119758062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -24, -23?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -156 + 161. Solve -2\/5*q**3 + 2\/5*q**w + 0*q**4 + 0*q**2 + 0*q + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 z when three letters picked without replacement from {t: 3, w: 5, b: 5, z: 3, r: 2}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m + 23. Let v be r(4). What is the greatest common factor of 6 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 6:52 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253053?\nAnswer: 3, 31, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7577, -15164, -22755, -30350?\n\"Answer: -2*w**2 - 7581*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 246*y**2 + 425*y - 25. Give i(-5).\nAnswer: 4000","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78 - 75. Let h(c) be the second derivative of 0*c**2 + 1\/3*c**4 - q*c + 0 + 1\/6*c**3. Find the second derivative of h(a) wrt a.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + -22?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 70. Does 19 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 3*f + 2, 0 = g + 3*f - 16 + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779 is divided by 750.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1324, 1311, 1290, 1261, 1224, 1179, 1126?\n\"Answer: -4*t**2 - t + 1329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5 - 17*k**2 - 3*k**2 + 4. Let f(w) = -5*w**2 + 2. Let i(l) = -9*f(l) + 2*m(l). Let c(j) be the first derivative of 2*j**3\/3 - 1. What is i(c(z))?\nAnswer: 20*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -941, -19, 2.\nAnswer: -941, -19, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/15 or 3.9?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 630, 5, -2\/11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*i + 81 + 59. Suppose -4*p - 135 = p. What is the smallest common multiple of i and 4\/(-18) + (-33)\/p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + -5 + 2 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 72*i**2 - 6*i + 431. Let z be k(72). Let c(l) = l**2 + l. Let n(f) = 3*f**2 + 3*f + 3. Calculate z*n(y) + 2*c(y).\nAnswer: -y**2 - y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 6*k**2 - 2*k - 9. Let n be u(-6). Suppose -3 - 9 = n*v. Let c be 1*(-5 + 3 + -1). Which is bigger: c or v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/11 and -44\/8873301.\nAnswer: 97606311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23887909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/676374484?\nAnswer: -1\/676374484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -516924 by -2.\nAnswer: 258462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2044 - 263?\nAnswer: -2340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-3)\/1))\/(1\/(-24)*-3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 13*o + 2 - 6 - 26 + 3 + 6. Calculate the remainder when 262 is divided by a(5).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 377020985\/38604 + 147\/3217. Let q(f) = -79*f**3 + 4*f**2 - f + 8. Let g be q(5). Let i = g + b. What is the common denominator of i and 11\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 20. Suppose -4*y = -2*r - 2*r - j, 2*r - 3*y + 6 = 0. Let w = r - -2. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86166950 is divided by 8864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.48 and -0.17?\nAnswer: 0.0816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007475 to six dps.\nAnswer: -0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 4:31 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 36*a**2 + 3*a - 36. Let p be g(36). Suppose 542 = p*u - 71*u. List the prime factors of u.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 - -45. Let c be (-2)\/(9 - 9 - -6). Let t = -0.1 + 1.1. What is the closest to c in 0, t, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 491*c**2 - 491*c**2 - 33*c**3 + (c + 3*c + c)*(-2*c**2 + 5*c**2 + 0*c**2) in the form g*c**2 + h*c**3 + k*c + r and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8)\/(-14) - 1755\/(-273) - -5347.\nAnswer: 2, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 190169 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a week in minutes?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3245 - 2041. Let w = -1210.11 + t. Let h = w - -1.11. What is the third smallest value in 2\/5, h, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1402220 + -14?\nAnswer: -1402234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by 3\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/9)\/((-2)\/6). Let t be 0 + 2\/n + 0. Suppose b - d = -3*b + 13, 3*b - t*d - 6 = 0. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 280*x**3 + 283*x**3 + 3 - 9 - 8.\nAnswer: 3*x**3 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74390571.\nAnswer: 3, 8265619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2046 and 57389184?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4347475487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*i - 22*i + 194*i)*(i**4 - i**4 - 2*i**4 + (-2*i**4 + i**4 + 3*i**4)*(-1 - 4 + 3) + 0*i**4 - 3*i**4 + 5*i**4).\nAnswer: -816*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32727887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3eda5 (base 15) in base 8?\nAnswer: 612735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -17*z**6\/6 - 2*z**5\/5 + 118*z**3\/3 - 50. What is the third derivative of j(m) wrt m?\nAnswer: -1020*m**2 - 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 414180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -16*y**3\/3 - 21*y + 268. Let d(a) = 2*a**2. Calculate l(d(g)).\nAnswer: -64*g**4 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-9)\/(-15) + 24470\/50?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b - 272 + 208 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1169*s + 1242 = -2667 + 6605 + 8994 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 4) in base 9?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from nnnncnccnn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of 0*y**2 + 0 + 1\/6*y**3 - 60*y. Let p(k) = k - 329. What is p(d(n))?\nAnswer: n - 329","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 5*v**2 + 3*v - 1. Calculate the remainder when b(3) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 35088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*t**2 - 140 - 135 - 210 + 26*t**2 + 485 + t.\nAnswer: 58*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(11) + sqrt(176) + 0 + (sqrt(11)*-2*-6 - sqrt(11)))*-3)**2.\nAnswer: 912384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -2.4, 11.5, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 154.221 - 0.221. Let x = 270152 - 270305.921. Let i = g + x. What is i rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by (-33)\/(-6) + (-12)\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 15 = 0, -5*f + 844*n - 915 = 658*n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 12:23 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/36*(-7)\/(-14)*(-3)\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10861807 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -5*x - 15, 0 = 3*j - 8*j - x - 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2af10 - 6?\nAnswer: 2af0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.0484, 1\/3, -4, -0.08, -6\/11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (168\/(-36))\/14*90\/2\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkhh when four letters picked without replacement from nhkdiidddidkhdnddkn.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9240, -9162, -9084, -9006, -8928, -8850?\n\"Answer: 78*l - 9318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 105521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 812 and 812?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -345 (base 12) to base 9\nAnswer: -588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -7*u - 122. Let v be t(-18). Let k be ((-42)\/644)\/(v + -1). Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 17*x - 97. Let l be q(6). Solve -4*u - 4*g + 20 = 0, -u = -l*u + 2*g - 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1\/5 (b) 401 (c) -3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -924741*u**4 + 1614034*u**2?\nAnswer: -22193784*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -10865059478 and 0.1.\nAnswer: -10865059477.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -5496.\nAnswer: -1\/458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*j = -7*t - 37, -5*j - 9 = -4*t. Let s = -3 + t. Let z(v) = -v**2 - 6*v + 9. Let n be z(s). Let q(i) = -i**2 - 2*i + 1. Determine q(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j. Let g(y) = -3*y - 77. Let r(s) = -10*s - 270. Let c(x) = -7*g(x) + 2*r(x). Give -2*c(v) + 2*u(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47367*k + 47417*k = 82150. What is the greatest common divisor of k and 954?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-4 + (-2)\/(-1)). Let g = 112 - 108. Suppose g*f = -2*y + 434, -f + i*y + 222 = f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 2*l + 4. Suppose -6 = 2*z + 8. Let g(k) = k**2 + 12*k - 8. Let c(x) = x**2 + x + 1. Let u(d) = 5*c(d) - g(d). Give z*r(s) + 2*u(s).\nAnswer: s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(208\/(-42) + 5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -11.3, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 114.228 + -0.228. Let v = s - 114.00585. What is v rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14030 divided by 2.\nAnswer: -7015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 1\/4, 2\/35, 0.089, 0, 2\/3?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 151173, 4, 5, -1 in decreasing order.\nAnswer: 151173, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/512 in 3, -2, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -583.1195 + 583. Let n = 5.7895 + m. Round n to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*3\/24)\/(-1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gogogooogoog. Give prob of picking 2 g and 2 o.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - p**2 + 6*p + 3. Calculate the remainder when 78 is divided by u(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 3. Let q be (3 - (p - -3))\/(-1). Suppose -q = -5*i + 10. Calculate the greatest common divisor of 15 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, 4 in descending order.\nAnswer: 6, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 + 23*g**2 - 11*g + 22. Let m(k) = -14*k**2 - 4*k + 6. Let t be m(1). Let n be i(t). Solve q - 3*q = n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 360 and 6360?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14225245 or -14225231?\nAnswer: -14225245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 891 + 499 = 0. Let v = -134 - i. Let g = -4 + -1. Sort v, g, -4 in descending order.\nAnswer: v, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80555085 divided by 5\nAnswer: 16111017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 844.7 - 845. What is the fourth smallest value in 0.1, t, 3, -2.8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1345138 is divided by 671559?\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -301 - 131?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6317799619?\nAnswer: 491, 12867209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -11. Suppose -p*k - 4*v - 20 = 0, 0 = -v - 3*v - 20. Solve 2*z + 6 = -z - 2*n, k = -z + 3*n + 9 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 25090 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/30 + (-250)\/(-60). Factor 11*q - 2168*q**2 - 6 + 2156*q**2 + v*q + 3*q**3.\nAnswer: 3*(q - 2)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12120021001202 (base 3) in base 13?\nAnswer: 7c7279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -113 + 200. What are the prime factors of g?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxb when three letters picked without replacement from xbbxxxxxxxxxxxxxxxx?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 3*y - 2*y)*((-52 - 3*y + 52)*(0 - y + 0) + (-2 + 1 + 2)*(-y**2 - 4*y**2 + 7*y**2)).\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/4 - 701*n\/2 - 7035\/4.\nAnswer: (n - 1407)*(n + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t + 5. Let q(a) = 2*a - 2. What is -3*l(n) - 5*q(n)?\nAnswer: 2*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, o: 2, z: 1, h: 2}. Give prob of sequence oo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n. Suppose 3*k = 8 - 2. Let q be (-2)\/k - (-5 + 0). Let m(x) = -x - q*x**2 + x. Determine m(d(y)).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 23 = -4*y, -5*y - 44 = -5*i - 2*y. Factor -5*h**4 + 20*h - 4*h**2 + 10*h**2 - 3*h**3 - i*h**3 - 20 + 9*h**2.\nAnswer: -5*(h - 1)**2*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.058765359 + -0.058722. What is k rounded to 7 decimal places?\nAnswer: 0.0000434","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) + -2 + sqrt(931) + 2)**2 - (sqrt(76) - (sqrt(76)*-2 + -4 - sqrt(76)))**2) + -5 + -4.\nAnswer: -64*sqrt(19) + 2483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11948 = -164*t - 50*t - 198*t for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/6*(-96)\/200?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57552116?\nAnswer: 2, 139, 103511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -381, -1 in increasing order.\nAnswer: -381, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 608*s**2 - 1. Is 6 a factor of m(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1275*p - 658*p - 617*p - 10*p**2.\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 20 + 3)*(-2*f + 5*f - 5*f)*(-3 + 0 + 5).\nAnswer: -96*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 12*j**2 + 21*j - 9. Let q be r(10). Let t(u) = 7*u - 3. Let x be t(q). Solve x*a + 20 = -5*y, -4 = 3*a + 11 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of x**3 - 14602*x**2 - 106845*x wrt x?\nAnswer: 6*x - 29204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 309*m + 36*m**3 - 38*m**3 - m**4 + 38*m**3 - 41*m**3 wrt m.\nAnswer: -12*m**2 - 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**4\/24 + x**2. Let i(u) = -9*u**2 - 1 + 1. Determine i(h(j)).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssssrsrssss. Give prob of picking 1 s and 2 r.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*i = -10, 0 = -3*i + 7 + 5. Let y = 425 + -424.5. Which is the second biggest value? (a) y (b) s (c) -2\/21 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4 + 3 - 8*y**2 + 1. Let c(w) be the first derivative of -w**3\/3 + 68. What is b(c(o))?\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2492 (b) 976 (c) -0.4 (d) -3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 15) to base 2\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9424.7 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -31. Let v be (-15 - y)\/(4\/10). Let z be v\/(-2)*4\/5. Solve 3*w + z = -3*r, -3*r - 4*w - 5 - 1 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 s, and 2 u when four letters picked without replacement from uyeueyymsueueue.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64959 is divided by 140.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 g when three letters picked without replacement from nggnnng.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-10 - -10))*(-3 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2. Let n(l) = 1173401*l. What is q(n(s))?\nAnswer: -2753739813602*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**2. Let d(o) = 40772*o**2 + 2*o - 4. Determine d(b(f)).\nAnswer: 366948*f**4 - 6*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t - 139. Let o(y) = -y + 1. What is -d(k) + o(k)?\nAnswer: k + 140","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*(f**(-2\/3)*f)\/f)\/f)\/f**(-8))\/(f\/f**(-2\/17)*f*f**(-2\/9))*((f*f\/(f\/f**(-3)*f))**(-14))**(-33) assuming f is positive.\nAnswer: f**(-211226\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16840.48 - -16840. What is the second biggest value in 5, g, 139?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003911892 rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1169 is divided by 178.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -224a55?\nAnswer: -224a53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 5*o - 5*j + 19, 3 = -j for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -12*o**2 - 6*o - 15. Let y(n) = n**3 - 47*n**2 - 24*n - 61. Let a(r) = 9*t(r) - 2*y(r). Is a(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2639100 greater than or equal to -0.24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.019 and -823.\nAnswer: -823.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - ((7 + -40 - 0) + 19).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*i**4 + 72358*i**3 - 2*i**2 + 5*i + 16708545.\nAnswer: 36*i**2 + 434148*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1. Suppose 4*r = -3*w + 60, -r - 2*w + 0 + 15 = 0. Suppose -18*t + 15*t + r = 0. Solve j = 6*l - t*l - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 5*l - 10, 2*l - 34 + 38 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 2:42 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 1 = 4*k + 12, -8 = -5*k + d. Let s be (2 - (0 - 0))\/1. Solve -3*c + s = -k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 29207, -1\/6, -13\/3, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q. Let m(o) = -o. Let y = 14 + -16. Determine y*m(t) - w(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dn when two letters picked without replacement from ddttddntnt?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 6*g + 19. Let m(u) = 6*u - 2. What is the remainder when m(7) is divided by y(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36885213 - -14\nAnswer: 36885227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/5*(-5)\/(-10)*-5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and (57 - 0) + (14 - 5)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k + 5. Let f(s) be the third derivative of s**4\/12 - 2*s**3\/3 + 5*s**2. Let g = -5 - -2. Let w(b) = g*p(b) - 2*f(b). What is w(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4530 - 470*z - 4533 - 314*z in the form m*z + s and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 13, m: 2, h: 3, v: 1}. Give prob of picking 1 r and 1 h.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 72841 to the power of 1\/2, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008216 rounded to 5 decimal places?\nAnswer: -0.00822","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 144589 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13653312 or -13653309?\nAnswer: -13653312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 5353.632 months?\nAnswer: 4.46136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 89*j - 23. Let a(u) = 31*u - 8. Determine 11*a(r) - 4*g(r).\nAnswer: -15*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 837 and 945.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrsrssssrssssr. Give prob of picking 1 s and 1 r.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/11)\/((-2190)\/(-7227)))\/(16\/10)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 1. Let g(q) = -q**3 + 4*q**2 + 6*q - 6. Let m be g(5). Let a be c(m). Solve 5*u = z - 11 - 8, -5*z - 3*u + 11 = a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16116 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 15*j - 1. Let w(u) = -31*u + 2. Let m(y) = 495*y - 8904. Let c be m(18). What is c*w(a) + 13*h(a)?\nAnswer: 9*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from doidnodndnoppdp. What is prob of picking 1 o and 1 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(3\/(-9) - 0). Let y = 7 + r. What is the third derivative of 3*u**2 + y*u**6 - 4*u**6 - 3*u**6 - 4*u**2 wrt u?\nAnswer: -360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 y when two letters picked without replacement from {w: 5, t: 7, n: 3, y: 4}?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 447643, 895378, 1343117, 1790860?\nAnswer: 2238607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2\/5 - 48*h\/5 - 104\/5 = 0. Calculate h.\nAnswer: -2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17507 and 3843?\nAnswer: 157563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(171) - (1 + sqrt(171)))*3*-4 + (sqrt(171) + (-3*-2*sqrt(171) + sqrt(171) - sqrt(171) - sqrt(171)) - (sqrt(171) + -5 + sqrt(171) + -1))))**2.\nAnswer: 1728*sqrt(19) + 12240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 - 79 = 5*m + 55 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 2*c = 81 - 25, -2*i - 7*c - 42 + 2 = c for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 + -42. Suppose -4*u - 252 = -4*p, 183 = n*p - 4*u - u. Suppose 3*i = -3*i + p. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21094 * 1582\nAnswer: -33370708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 11:57 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/5 of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -5)*(6\/(-5) + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40305631 a multiple of 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00065658734 to five decimal places.\nAnswer: -0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -3 (b) -0.04 (c) -2\/15 (d) -5 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**3 + 2*a**3 - 3*a**3 + (5*a**3 - 3*a**3 - a**3)*(3 + 4 - 5) + 9*a**3 - a**3 - 1188*a + 1190*a - 216.\nAnswer: 9*a**3 + 2*a - 216","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2 - (-334)\/4. Suppose -q + l = 3*q. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 7. Let n be (a - 2)*(-5)\/15. Suppose o + 4 = n, 0*o + o = -5*h + 431. Is h a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 19*f**3 - 34*f**3 - 10*f**2 + 17*f**3 - 57 + 18*f + 4*f**2. List the prime factors of z(8).\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 5*i - 3. Let k(g) = -4*g**2 + 19*g + 13. Let b(z) = 9*f(z) + 2*k(z). Let t = -7 + 2. Is b(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18776 and 60.\nAnswer: 281640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -322413201?\nAnswer: -322413144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -813078 (base 15) to base 5.\nAnswer: -3032321423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87819*l - 88339*l = 34320 for l.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3220109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m + 38. Determine u(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (25\/50)\/(-1*5\/(-20)). Solve -6*w - 22 = m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 6*c + 10. Let j be t(-7). Find the second derivative of 0*a**3 - 5*a**3 - 5*a - 3*a**j wrt a.\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 10*m + 6. Let v be u(11). Let w(k) = k - 2. Calculate w(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 19*d**2 - 4. Determine g(2).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 792 = -5*f - 882, 0 = 30*f + 4*b + 514 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - 4. Let y = t + 4. Suppose -2*m + 2 = -8. Sort y, 1, m.\nAnswer: y, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n + 3*n + 0*n - 3*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 c when two letters picked without replacement from scznzwceszscswcwc?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.469 - 2.34. Let b = j - 0.029. What is the nearest to -2 in 3\/5, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -9*t**3 - t**2 + t + 1. Let v be 10\/8 + 4\/16*-9. Give c(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**5\/3 + 9*z**4 - 70*z**3 + 100*z**2\/3 + 1000*z = 0.\nAnswer: -3, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 5*w**2 + 2*w + 6. Let l be t(-5). Which is the third smallest value? (a) -1\/2 (b) 1\/3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 76 = -4*x + 6*x, -5*x = 2*u - 202. Let o = 233 - 217. What is the greatest common divisor of x and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.7 + 3.3. Let r = 7 - 7. Put r, c, 5, -0.1 in decreasing order.\nAnswer: 5, c, r, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 3*m - 6 = 0, 4*l - 2*m - 844 = 0. Is l a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1753 and 1958.\nAnswer: -3432374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -2695, 13 in increasing order.\nAnswer: -2695, -2, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 3\/4, -5, -0.1, 0.1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 4*s + 5. Let t be i(5). Suppose 0*o + t = 5*o. Suppose -8 = -o*d - 18. Put d, 0, -0.4 in decreasing order.\nAnswer: 0, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 11 - 23)*(0 + 0 - a)*(a**2 - 3*a**2 + 0*a**2) in the form m + q*a**3 + n*a + b*a**2 and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 973224 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43 + 15 - 565*r + 27 to b + i*r and give i.\nAnswer: -565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-39)\/(156\/12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.096 + -1.106. Let k = x - -0.61. Which is the nearest to 0? (a) 3.4 (b) 2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 8558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 50*v**2 + v. List the prime factors of s(1).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 10\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -r**7\/735 + r**6\/10 - 4*r**5\/21 - r**4\/2 + 41*r**3\/21 - 48*r**2. Solve j(n) = 0 for n.\nAnswer: -1, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7086575 is divided by 112.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-6) - 48\/72?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*g*k**3 + 3*g - 12*k**3 - 4*k wrt g?\nAnswer: 6*k**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(0 + 4 - 2)*(3*c - c - 3*c) + (-10 - 5 - 39)*(5 - 4*c - 5) + (-1 + 0 + 3)*(c + 0 + 0) + 2*c + c - 2*c.\nAnswer: 215*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3964, 3738, 3164, 2062, 252?\nAnswer: -2446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 4*m - 3. Let a be g(-2). Let x be 6 + 2 - (6 - 4\/2). Is x less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 5*a = 3, 12 = -109*o + 110*o + 4*a for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-16)*1*3*((-6072)\/693)\/(-46)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 134, 246, 358, 470, 582, 694?\n\"Answer: 112*r + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57381 and 7719.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -4, -33, 63, -1 in descending order.\nAnswer: 63, 2, -1, -4, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b19 + fd8?\nAnswer: 1af1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 1 + -2)*1. Suppose 0 = 109*s - 1340 + 1231. Put i, s, -3 in increasing order.\nAnswer: -3, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -703983.583 - -703916.58300165. Let q = -67 - p. Round q to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12620140 + 12620140 + 40*v.\nAnswer: 40*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -871*d + 6978. Let j be f(8). Solve -40 = 4*w - 3*n - n, 0 = 2*n - j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * -4.2.\nAnswer: -2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6122 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**2\/3 - 50294*y\/3 - 77910400\/3 = 0.\nAnswer: -48694, -1600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - y - 1)*(16*y**3 + 2*y**3 - 61*y**3 + 4*y)*((-1 - 3 + 2)*(-4 + 0 + 2) + 3 + 1 - 6 - 4 + 2 + 5) to o*y**2 + n*y + d*y**4 + u + s*y**3 and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-7)\/(z\/(z*z**(-11)))*(z*z**(-4))\/z*z**(-6)\/z assuming z is positive.\nAnswer: z**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -375*k - 6*k**2 + 749*k - 374*k.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 622066?\nAnswer: 2, 311033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -8.1. Suppose y - 4 = 0, 0*y + 4 = -2*q - y. Let g = -0.06 + 0.16. What is the second smallest value in f, g, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {b: 4, o: 7}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**2*f)*f)**24\/(((f\/(f*f\/(f\/(f\/(f*f\/(f*(f*(f**(-1\/3)*f)\/f)\/f))))))\/f)\/(f\/(f\/(f**(-8)\/f)*f))) assuming f is positive.\nAnswer: f**(-100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-552)\/(-4 + -8) + 2*1. Is h greater than 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/4)\/(79\/(-158)). Solve l + 10 = -5*m - z, 2*m = 4*l - 28 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-2)\/12*4. Let f be 2 + (-9)\/6*p. Is (-19)\/2*f*22 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 9*j + 42 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 439 + -433. Suppose l = -3*d + 10, 4*d - 34 = 4*l + f. What is the remainder when 27 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 477287 != 477287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ecyuvyccceyuye. What is prob of picking 2 c and 2 u?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/700 and -31\/560?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233218 is divided by 9717.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**3 - x**2 + x - 2. Let f(s) = -6*s**3 - 3*s**2 + 4*s - 7. Suppose 18 = -6*g + 60. Give g*b(k) - 2*f(k).\nAnswer: -2*k**3 - k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5457107561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, -8544, -2, 1 in ascending order.\nAnswer: -8544, -2, 1, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 1215.6?\nAnswer: -3646.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1272.71 - 1207. Round h to zero decimal places.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -23. Solve 14 = 5*a - n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2016\/(-32256)*(-1*1)\/(2\/2).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 143 and 110?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 + 21*q + 56. Determine f(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10952450 divided by 103325\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/235683 and 73\/12418056.\nAnswer: 360123624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001043 to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9755*-0.5\nAnswer: 4877.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -521309*x**2 + 521309*x**2 + 70*x + 6*x**3 to u*x + a*x**3 + y*x**2 + k and give u.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 - 7*a + 34. Let i be w(9). Let r(y) = -133 + i + 7*y + 0*y. Let x(m) = -m. Let o(c) = 3*c. Let g(u) = 5*o(u) + 12*x(u). Give g(r(l)).\nAnswer: 21*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3013978273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 5039.\nAnswer: 5039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -8, -1 = 2*k - l - 17. Calculate the remainder when 28 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 5)*(-6 + 5 + 8)*(-2*g + 5 - 5 + (11369 + 321*g - 11369)*(-1 + 0 + 0)).\nAnswer: 2261*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2. Let y(z) = -73*z + 65. Calculate y(u(c)).\nAnswer: -146*c**2 + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 9. Suppose 0 = -i + h, 2*i - 18 = -j - 4*j. Suppose -5*u = -5*l - 130, -3*u + 23 = -j*u + 2*l. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 88 and 208.\nAnswer: 18304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1829 divided by 874\nAnswer: -1829\/874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 4416.\nAnswer: 17664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n**5 - 2*n**4 + 52*n. Let p(a) = -2*a + 2*a + 121*a**4 - a - 122*a**4. Let b(w) = 3*p(w) + u(w). Find the second derivative of b(o) wrt o.\nAnswer: 100*o**3 - 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - 0.3. Let r = -95 + 91. What is the closest to 0.3 in r, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 2:56 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 250*l**4 + 421*l - 904128.\nAnswer: 1000*l**3 + 421","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.21 + -0.21. Suppose -4*o = 0, 5*g + 0*o = 3*o + 270. Let n = g - 55. What is the third biggest value in -2\/3, a, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*p - 18*p - 896. Let g = p + 134. Solve 6*o - 4*o - g = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(778\/194 - 4*1). Put g, 2, -3, 1 in ascending order.\nAnswer: -3, 1, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(-4) - -5 - 0. List the prime factors of o - (-1 + 351\/(-3)).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206 (base 13) in base 6?\nAnswer: -1332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117231964.\nAnswer: 2, 29307991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 5*r**2 + 2*r**2 - 2*r**2 + 3 + 4*r**2. Let p be k(0). What is the third smallest value in 0.1, -3\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v - 14. Let i(k) = -k + 1. Let b(n) = -4*i(n) - l(n). Let a be 0 - 2\/2*-30. Let g be 204\/a - 2\/(-10). What is b(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6996301579 to the nearest 1000000.\nAnswer: -6996000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2)*(-i**2 + i**2 + 2*i**2) - 2*i + 2*i - i**2 - 2*i**2 + 2*i**2 - 5*i**2 - 14*i + 5*i**2 + 14*i as o*i + t + x*i**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8109 rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((1 + sqrt(1584))*-1)**2.\nAnswer: 24*sqrt(11) + 1583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**3 - 60*h**2 + 101*h - 59. Let u(z) = z**3 + 30*z**2 - 51*z + 29. Let x(f) = -3*p(f) - 7*u(f). Suppose x(i) = 0. Calculate i.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 11*v + 48. Let l = -30 - -36. Let r be w(l). What is the highest common factor of r and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10127.985 rounded to the nearest 100?\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 - -16. Let t = 18 + c. Suppose -n + 42 = 5*a, -4*n + t*a + 156 = n. Calculate the greatest common factor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**4\/6 - 5*b**2. Let c(n) be the third derivative of n**4\/12 + 5*n**2. What is c(t(o))?\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -444*h - 30324. Calculate n(-68).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 1:57 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-47 - 53 + 29)*(-5*c + 3*c + 5*c) + 5*c - 5*c - 2*c + c - 5*c + 2*c to j + y*c and give y.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.659 - 53.141. Sort 1\/3, m, -2\/5 in descending order.\nAnswer: 1\/3, -2\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 5:14 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k + 35 = -17. Solve 5*q = -o - 19, 0 = -o - k*o + q + 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317*s + 312*s = -25. Calculate the remainder when (1\/(-2))\/(2\/(-76)) is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 152, 1378, 4720, 11234, 21976, 38002, 60368, 90130?\n\"Answer: 176*p**3 + 2*p**2 - 12*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9\/4*(-23 - -25)*22 is divided by 40?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m - 3*m**3 + 2*m + (0 + 0 - 2*m**2)*(-3*m + 2*m + 0*m) - 2 + 2 - 2*m**2 + 3*m**3.\nAnswer: 2*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -266902*42\/(-180) - (4\/(-15))\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = s - 48. Find the third derivative of 19*g**3 - 19*g**3 + 0*g**5 + s*g**2 + 2*g**5 wrt g.\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-150) + (-1320)\/(-12000)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 423, 844, 1265, 1686?\nAnswer: 2107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36284 - -65707. What is the thousands digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 8:07 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296726702.\nAnswer: 2, 148363351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*k = 2*z - 16, -16 = -z + 4*k. Let j(b) = 5*b + 17. Let s be j(-4). Sort z, s, 4 in decreasing order.\nAnswer: 4, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -11*z + 8*z - 2733, 2*z - s = -1821. Which is bigger: -907 or z?\nAnswer: -907","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 554 + -546. Solve -t - 4*l = -3*l + m, 3*t + 2*l + 19 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 5:18 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-814)\/(-174))\/((-22)\/(-9966)). Let t = 2119 - y. Is t smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 1)*(1 + 2 - 5) + 0 + 1 - 4)*(-6*b + 0*b + 2*b)*(-8 + 6 + 10).\nAnswer: 32*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.28 - 0.08. Let n be (65\/(-39) - (1 + -2))\/4. Which is the nearest to r? (a) n (b) 0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 - 12. Let j(v) = -v**2 + 1. Let z(m) = -3*j(m) - s(m). Is z(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**10\/136080 + w**9\/34020 - w**7\/5670 - w**6\/3240 + w**4\/4 + 2*w. Let g(n) be the third derivative of l(n). Factor g(i).\nAnswer: 2*i*(i - 1)*(i + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 times 8836429?\nAnswer: 12371000.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**5 + 2*m**4 - 82*m**3 + 222*m**2 - 144*m.\nAnswer: 2*m*(m - 3)**2*(m - 1)*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1507*u + 1247*u + 1706*u)*(3 + 0 - 4) - 2*u + 3*u - 3*u.\nAnswer: -4462*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1911 (base 15) to base 16\nAnswer: 1528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 12.1. Suppose -m + 0*m = 4*v - 2, 2*m = -4*v. Let r(h) = -h - 4. Let d be r(-7). Which is the nearest to j? (a) v (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 1:31 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 103.07 + -103. What is the biggest value in u, -2\/11, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -473 + 1421\/3. Let z(t) be the third derivative of -1\/30*t**5 - t**2 + 0*t + u*t**3 + 0 - 1\/12*t**4. Let z(q) = 0. What is q?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11632 and 167020253.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 401*u + 795*u - 397*u in the form q + a*u and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -43, -35, -27, -19?\n\"Answer: 8*f - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 124414.7 to the nearest 1000.\nAnswer: 124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/2*(-8)\/3. Let r be f\/6 + (-4)\/(-3). Suppose -4*o + r*o = -20. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3323439272 to the nearest integer?\nAnswer: 1492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-14 - -6) - (-1 - -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**2\/2 + 609*y - 153648 = 0. Calculate y.\nAnswer: -582, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 622 divided by -12.\nAnswer: -311\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1499250 divided by -149925\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*s = -56. Let x = 16 + s. Let q(u) = -u**3 - 5*u + 5*u + 7*u**2 - x*u + 22 - 13. Give q(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4320)\/18*(2\/2 + -2). Let f be -6 + -4*(-356)\/m. What is the closest to -0.1 in f, -1, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 1 + c**3 - c**3 - 5*c**3. Let t be d(1). Let f be t\/(-3) - (-2)\/3. Solve -3*n + f*n + 4 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1.7 (b) 112 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*d*n**2 - 8067*d*n*w**3 - 2*d*n*w**2 + d*n*w + 36*d + 3*n**2*w**3 - 3154*n**2*w**2 - n*w**2 + w**3 wrt n.\nAnswer: 14*d + 6*w**3 - 6308*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (42\/(-4))\/((-3084)\/(-344) + -9). Suppose c*j - 298*j = 8457. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14123 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 11*y - 3. Determine t(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71493*a**2 + a + 330 wrt a.\nAnswer: 142986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*d)*(-d + 10*d - 2*d) + (d + d - 4*d + (0*d - d + 3*d)*(3 + 0 - 4) + 2 - 2 - 2*d)*(-1 + 1 - 3*d).\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4 - 4 - h - 8. Let x be w(-16). Suppose x = -s + 6. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5500, 10437, 15374, 20311, 25248?\nAnswer: 30185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 40\/25*3\/((-735)\/(-175))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -893*f + 18748 = -11408 - 18628 - 10154 for f.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9430, -1566, 2\/13, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 668504 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 66 = 4*i + s, 0 = -i + 2*s + 28. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5197668161343 - 173.\nAnswer: 5197668161170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 4*a + 60, -2*i = -8*a + 4*a - 66. Let k be 2*12\/a*2. Sort 1, k, -26.\nAnswer: -26, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.642896 years in decades?\nAnswer: 0.4642896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 - -19. Let k = -28 - p. What is the second derivative of 8*s**2 + 39*s - 19*s + k*s**2 wrt s?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*p - 0*p. Let a be (10\/(-110))\/(p\/(-6)). Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ne when two letters picked without replacement from {e: 1, o: 3, n: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 1\/4, -0.1, -3, -1\/3, -760?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 20*q**2 + 26*q - 83. Let d(n) = n**2 + 18*n + 14. What is the smallest common multiple of i(21) and d(-18)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 31, 69, 109, 151, 195, 241, 289?\n\"Answer: j**2 + 35*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 - 69) + -20 - -65?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 76813 times -33.8\nAnswer: -2596279.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -6. Calculate the lowest common multiple of 90 and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -5*o**5\/6 - 985*o**4\/6 = 0?\nAnswer: -197, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 8. Let q = -124 - -125. Let o be q\/n*8\/(-6). Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 391, 759, 1127?\nAnswer: 1495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37479227 to the power of 1\/4, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/5)\/((-1765)\/3883 - 2487\/(-4455)). Determine q so that -51\/7 - 3\/7*q**2 - u*q = 0.\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 13. Let p be v(5). Let u = 11 + p. Let z(x) = x**2 + 1 - u - 6 - 3*x + 3. Calculate z(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112103 + 3011?\nAnswer: 121120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 338313 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 36*x**3 - 220*x**2 + 671*x - 10. What is u(3)?\nAnswer: 995","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -9*f - 161. Let x be p(-28). Calculate the common denominator of (545\/(-70))\/(78\/x) and -13\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50562, 50569, 50580, 50595?\nAnswer: 50614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 767536 and 2464?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*c - 210 = 225*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6096059cm to millimeters.\nAnswer: 6.096059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -175 divided by -5?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75 - (-40 + 6)) + 9?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-577)\/25 + 23)*(-2)\/(-8)*5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10824 and 198?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350 is divided by 53?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31\/4)\/((-839)\/3356).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104915 (base 15) to base 9.\nAnswer: -1410882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 1. Let c(k) = -k - 6. Let r(m) = -4*m - 11. Let f be r(-3). Suppose 4*u + f = 9*u - 2*o, -u + 3*o = -8. Determine u*c(b) - 6*l(b).\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u. Let t(f) = f**2. Let p(a) = 11*a**2. Let d(l) = -p(l) + 4*t(l). What is g(d(k))?\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**2*f)\/f**(-2))**49\/((f**(-5)*f\/(f\/(f*f**(-2\/3))*f))\/(f*f*(f\/(f**(-3\/2)\/f))\/f*f*f*f*f**(-2\/7))) assuming f is positive.\nAnswer: f**(12889\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + h + 14, -4*g + 3*h = -8 - 49. Sort -2, g, 6 in descending order.\nAnswer: g, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3248 and 1827.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56168, -112340, -168512?\nAnswer: -224684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 e when three letters picked without replacement from {e: 4, z: 15}?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*c = -28*c - 348. Solve -c*r = -0*r - 4*m - 4, -r + 3*m = -11 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 10 = -112*v + 109*v, -2*v + 4*x = -4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrlllrrrllrrrullr. What is prob of sequence lr?\nAnswer: 77\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 5*u**2 - 1. Let i be f(-5). Let o = 0.28 - -0.02. Let v = 229\/117 + -19\/9. Which is the closest to 2? (a) o (b) i (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**5\/180 - c**4\/18 + 2*c**3\/9 + 7*c**2 - 7. Let i(q) be the second derivative of a(q). Let i(s) = 0. What is s?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78 or -0.056875?\nAnswer: -0.056875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2301 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 33?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y**3 - 9*y**2 - 15*y + 31. Give q(5).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/18)\/(78\/18252).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12194, -24386, -36576, -48764, -60950, -73134?\n\"Answer: v**2 - 12195*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 + -90. Suppose 160*q - 167*q + 126 = 0. Let j(a) = -a**3 + a**2 - a + 1. Let k(x) = -3*x**3 + 6*x**2 - 6*x + 6. Determine d*k(y) + q*j(y).\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 + 0*t**3 - 5*t**3 + (7*t - 8*t + 20*t)*(2*t**2 - 2*t**2 - 2*t**2).\nAnswer: -42*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7135 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j + 7. Let v = 25 - 16. Let i(n) be the first derivative of -9 + 146*n**2 - 147*n**2 - 8 - v. Give r(i(h)).\nAnswer: -4*h + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4415 - -9783. Is s a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2. Let v(s) = 785*s**2 - 2*s - 3. Give v(t(y)).\nAnswer: 785*y**4 + 2*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 7*w**3\/2 - 7*w**2\/2 + 36*w. Let s(z) be the second derivative of 11*z**3\/6 - 2*z**2 + 210*z. Determine 4*o(a) - 7*s(a).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2751083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 2:04 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6530 - 49435 - 3931*v**2 - 3933*v**2 - 3931*v**2 + 11794*v**2 + (-3 - 4 + 5)*(-v**2 + v**2 - v**2).\nAnswer: v**2 - 55965","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**2 + 23*v + 14. What is n(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + -2*sqrt(28)))**2.\nAnswer: 576*sqrt(7) + 4176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**1*c*c))\/(c**(2\/3)\/c))\/(c*c*c\/(c\/c**1)*c)**(-21\/4))\/((c**3\/(c*c\/(c\/c**2*c)*c*c))\/(c*c**(-3\/7)*c*c\/(c\/((c*c**(-1))\/c)))) assuming c is positive.\nAnswer: c**(439\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 49, 1.4, 3\/1964?\nAnswer: 3\/1964","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 9, 18, 21, 12, -15?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y + 3*y + (0 + 5 - 4)*(0*y + 4*y - 2*y))*(-2*y + 0*y + y).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**43*l\/(l\/(l\/l**(-2\/11)))*(l*l\/(l\/(l**(-15)*l)))\/(l**40*l))**7 assuming l is positive.\nAnswer: l**(-7301\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 311 and 23001871?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 + g - 742. Calculate k(16).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2520 and 1176?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5292 and 5697.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 329587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egxg when four letters picked without replacement from {e: 6, g: 7, x: 1, l: 1}.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwfnwffnwwnffww. Give prob of sequence wnw.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3234, 3\/7 in ascending order.\nAnswer: -3234, -1, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -17*k**2 - 23*k. Let t(o) = -6*o**2 - 8*o. Suppose 5*a + 5*x - 18 = 7*x, 13 = 4*a - 3*x. Calculate a*v(p) - 11*t(p).\nAnswer: -2*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2535 - 111055?\nAnswer: -104120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 - t**2 + 3*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6*a + 3. Let d(n) = -12*n - 7. Give 3*d(c) + 7*y(c).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1355762, -2711526, -4067290?\n\"Answer: -1355764*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/3 + -1\/3. Let w = 238 + -242. Let z = -1.06 - -3.06. Which is the biggest value? (a) w (b) 1 (c) z (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22424 + 11?\nAnswer: -22413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 - -74. Let c(n) = n**3 - 2*n**2 + 3*n - 15. Is c(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -754040*m*y**2 - 515*m + 54 wrt y?\nAnswer: -1508080*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44494 + -488150\/11. Suppose -2*c = -4*c + 234. Let n = c - l. What is the common denominator of 38\/5 and n?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121 and 7887.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1535558214?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 0*u**3 + 0*u - 145*u**2 + 1 + 0*u**4 - 1\/30*u**5. Let m(s) = -135*s. What is q(m(y))?\nAnswer: -36450*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3492582 rounded to 4 dps?\nAnswer: -0.3493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5*g + 1. Let l(w) = 11*w + 1. Let x(q) = -4*l(q) + 9*t(q). Let z be x(-6). What is the units digit of 2\/(-5)*(z + -79)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -q**5\/120 - q**4\/48 + 5*q**3\/3 - 5*q**2 - 7. Let d(n) = 0. What is n?\nAnswer: -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 7 = -5*p, -11*o = 2*p - 13*o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**6\/180 - z**4\/6 - z. Let a(u) be the third derivative of h(u). Let r(y) = y**2. What is a(r(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1128)\/408*187\/(-11).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45931496 and 12366172.\nAnswer: 321520472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 13, j: 3}. Give prob of picking 2 o.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908854860.\nAnswer: 2, 3, 5, 61, 239, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 14*v - 45. Let c(q) = -q**3 + q**2 - 1. Let l(x) = 8*x**3 - 13*x**2 + 9*x + 3. Let a(z) = v*l(z) + 35*c(z). Solve a(k) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 462*b**2 + 4245*b + 4. Let z(d) = 227*d - 1. Calculate the remainder when z(1) is divided by m(9).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14688571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -44*x**2 - 5. Let c(b) = -43*b**2 - 6. Determine -2*c(i) + 3*h(i).\nAnswer: -46*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -7. Suppose -30*g + 25*g = 5*v - 30, -g - 3*v + 4 = 0. Solve -u = -4*f - g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 129 times -2203170\nAnswer: -284208930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/30)\/(714\/1185). Let g = -5\/68 - t. Which is the third biggest value? (a) -3 (b) 2\/9 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f + 4 + 12. Let n = 98 + -71. Let s = n + f. Is s > 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309384?\nAnswer: 2, 3, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 286, 288, 290, 292, 294?\n\"Answer: 2*h + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(4*5\/(-80)). Let f be (k - -20)*(-2)\/(-4). What is the highest common factor of 344 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 19630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 99 - -7. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**5\/60 + 5*l**4\/24 + 7*l**3\/3 - 2*l**2. Let z be t(7). What is z rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -120, -1\/2, 4\/3, -1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00029952254 rounded to five dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u - 5*u - 2*u - 2)*(-1 + 1 - 3).\nAnswer: -3*u + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -253, -4, -137 in decreasing order.\nAnswer: -4, -137, -253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*(5 + (-1*sqrt(700))**2).\nAnswer: -3530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 811975665 divided by -3?\nAnswer: -270658555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 32 = 4*j. Let i = 0.07 - -0.43. What is the second biggest value in j, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 61 = u, 0 = 4*u - 2*c - 3*c - 181. Suppose b + 5*h - 4*h - 23 = 0, h = 3*b - u. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032093 rounded to 4 dps?\nAnswer: -0.0321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.827 and 27981961.1864.\nAnswer: 27981956.3594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/160 + 1923\/24. Suppose -q + 119 = f + 2*f, 5*q = 10. Suppose g - f - 81 = 0. What is the greatest common factor of g and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 19*b = -56. Suppose 6*l + 2*k = l + 3, 5*l - 7 = 2*k. Sort l, 15, b.\nAnswer: l, b, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28.6 - 3867.\nAnswer: -3838.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 31*c = 2*c + 75. Solve -10*z + 5*z = 5*q + 35, -3*q = -c*z + 9 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyynyyyeyeyynyny. What is prob of picking 2 e?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90043.912 + 8893.\nAnswer: -81150.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/2 or -164?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 12. Let c be (0\/(-1))\/1 + k. Suppose -5*z - 53 = -3*i, 51 = 5*i - c*z - 44. What is the greatest common divisor of 14 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 1, -3*c = -q - 0*c + 25. Let b = -22 + q. Solve 4*k - k - 3*u = b, 4*u = -k - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b392 (base 15) to base 16.\nAnswer: 9431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 15) to base 13\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 10) to base 16\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, c: 3, r: 1, e: 1, t: 3, o: 2}. What is prob of sequence ooe?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78*35\/840)\/((-9)\/36)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 3*f + 3. Suppose 5*s - 20 - 5 = 0. What is the remainder when v(-5) is divided by 19\/5 + 1\/s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43496831 to the nearest integer?\nAnswer: 6595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -5, -1, 3, -3.\nAnswer: -23, -5, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + c = -17, -3*v - 2*c + 22 = -4*c. Factor 6\/5*l**3 - 2\/5*l**v + 0 + 0*l - 4\/5*l**2.\nAnswer: -2*l**2*(l - 2)*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057)*1)**2 + sqrt(17))*-3*2*1.\nAnswer: -12342 - 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1052, -1068, -1084?\n\"Answer: -16*s - 1036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - 5)\/(-2*(-18)\/(-456)).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + p**2 + 17*p - 33. Determine z(6).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 3:54 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 + -2)*(-1)\/3. Suppose -4*v + 2*i = -14, -3*v - 3*i + 6 = -0*i. Find the second derivative of p + 3*p + 4*p**o - 5*p**3 - v*p wrt p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (-1 - -2 - 2)\/1. Let g(q) = -q - 8. Let b(a) = 2*a + 7. Let p(u) = 2*b(u) + 3*g(u). Determine p(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1877 is divided by 609.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1321321111311 + 11?\nAnswer: -1321321111300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -3, -128, 12535 in ascending order.\nAnswer: -128, -5, -3, -2, 12535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/15, -5, -14.06, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8911 or 8909?\nAnswer: 8909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, i: 6, v: 2, k: 2}. What is prob of sequence vri?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 9*c**2 - 7*c + 13. Let j = 11 + -6. Let k(r) = 0*r - j*r**2 - 10 + 1 + 2 + 4*r. Let v(w) = 7*k(w) + 4*z(w). Find the first derivative of v(l) wrt l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -0.00826\nAnswer: 0.09174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**4 - 2245145*l**3 + 15715845*l**2 - 33676695*l + 20205990 = 0.\nAnswer: 1, 3, 449022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3) - (-144787)\/6483?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122351 (base 6) to base 3.\nAnswer: -120000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -161 divided by -12\nAnswer: 161\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**4\/w*w*w**(-2\/7)*w*w*w*w*(w*w**(-23))**(-4\/9) assuming w is positive.\nAnswer: w**(1102\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 2*o - 480. Let y be (8\/(-6))\/(o\/48). Which is the third smallest value? (a) y (b) 3 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -8) + (6 - -13) - (6 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from ljjjleleeeeljyjyjj?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6*(3 - 0). Suppose -d*q + 25 - 9 = 0. What is the first derivative of -2*f + f - q + 10 wrt f?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -82*z**3 + 7*z**2 - 8*z. Calculate q(2).\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5949, -22398, -49811, -88188, -137529, -197834, -269103?\nAnswer: -351336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 8, -12*n = -4*w - 8*n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -8*h - 22*h - 224 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6901.782 hours in milliseconds?\nAnswer: 24846415200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + 13*f)*(-1 + 1 - 2*f**2) + (-2 - 3 + 3)*(-2*f + 2*f - 4*f)*(12*f**2 - 22*f**2 - 3*f**2).\nAnswer: -130*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -12*n**4\/7 + 2*n**3\/7 + 10*n**2\/7 - 4*n\/7 = 0.\nAnswer: -1, 0, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28.3 and -699693.\nAnswer: 19801311.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 150 - 3250a90?\nAnswer: -3250940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -164 + 309. Let f = v + -93. Is 20 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28029 is divided by 14011.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r + 21. Let n be x(9). Suppose -13 = -n*b - l - 4*l, -5*b + 13 = 4*l. Let s = -445 + 6227\/14. Is s at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from lnlcllclkcccncnkckk?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssssssss. What is prob of picking 4 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 - 2*o**2 - 51902 - 2*o + 85576 + 0*o**2.\nAnswer: o**2 - 2*o + 33674","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 17*y**2 - 56*y - 44. Is 8 a factor of z(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 12) in base 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4550 (base 7) to base 2.\nAnswer: -11001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.045? (a) 0 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2846 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/16)\/(615\/60 - 8).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 2.8, -24.1?\nAnswer: -24.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 12 = -3*y - 8, 3*y + 7*q = 2. Which is the biggest value? (a) y (b) -2\/9 (c) 1\/29 (d) -2 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13567, 4087, -11707, -33809, -62213, -96913?\nAnswer: -137903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8917 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/((d**9*d*d)\/d))\/(d**(4\/7)\/d))**(-22) assuming d is positive.\nAnswer: d**(1166\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 8 = 3*p, 0 = -5*d - 3*p + 4. Let m(n) = 271*n - 7. Is m(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1654 + 970 = -147*j + 4020. Solve -60*m = -j*m + 140 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.7 - 7. What is the second smallest value in z, 2\/5, 0, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8 - -7 - 20\/(-2). Suppose -18*v + b = -15*v. What is the first derivative of -v*h**2 - 11*h**2 - 13 + 6*h**2 wrt h?\nAnswer: -16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 8*s - 8. Let m be r(-6). Let j be -1*9*m\/(-6). Suppose 10 = -j*n + n. Which is greater: -3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (4 + -3)*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0251*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 100338109 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3a4 (base 12) to base 9\nAnswer: -677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-36)*3)\/(((-1184)\/624)\/(-37))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/4)\/(4914\/(-8424)*(-18)\/28)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4367*j - 30642. Calculate s(-7).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -14*o**5\/11 - 472*o**4\/11 - 1208*o**3\/11 - 932*o**2\/11 - 58*o\/11 + 124\/11 = 0.\nAnswer: -31, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w = -j + 1, 2*j = -4*w + 8. Let p(m) = m**3 - 13*m**2 - 48*m + 271. Let d be p(15). Put -4, j, d in descending order.\nAnswer: d, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 9*x - 9. Let z be t(7). Suppose 3*i = -5*f - 0 + 7, z*i - 18 = -2*f. Suppose -i*c - 34 = -5*c. Is 27 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.047 minus -332203699444.8?\nAnswer: 332203699444.753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 86*k**2 - 2*k. Let l = -37404 - -275298. Let h(v) = 237894*v + v**2 - l*v. Determine j(h(m)).\nAnswer: 86*m**4 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000053211748 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 124316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 26, -20, -7, 2 in ascending order.\nAnswer: -20, -7, -5, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66*((-2486)\/(-28589))\/(3\/23).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m - m - 7*m + 9*m. Let r(y) = 18*y. What is z(r(v))?\nAnswer: 36*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 22*f**2\/3 + 150052*f\/3 - 2519200 = 0.\nAnswer: -75576\/11, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 119.7714735 nanoseconds?\nAnswer: 0.00000000000019803484375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 + 22*h + 4. Let d(i) = i**2 + 15*i + 3. What is 7*d(n) - 5*w(n)?\nAnswer: -3*n**2 - 5*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + 2 + (sqrt(405) + 0)**2 + (sqrt(405) + 1 + 1 - sqrt(405))**2 + sqrt(405)*1*-2 + sqrt(405) + -5) + 0.\nAnswer: -2045 + 45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y - 1. Let v be o(-2). Let x = v - 1. Let f(d) = d + 9. Let l(z) = z + 9. Let m(r) = -5*f(r) + 6*l(r). What is m(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46800587 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: Four letters picked without replacement from kssesesssbwmbsmes. Give prob of sequence bkmw.\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -505297210 divided by -1.\nAnswer: 505297210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 631942.\nAnswer: 2, 107, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 89*f**2 + 11*f - 1. Let l be n(2). Let b = -364 + l. Calculate the remainder when 452 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -53*p + 637. What is j(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 3, 2*n - 6*d = -3*d - 19 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -19.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1231 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*q = 6. Suppose -3*h = -8*h + 105. Calculate the highest common divisor of h and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*g - 171, 5*h + 72 = 4*g - 152. Let v = 51 + h. Let m(p) = p - 2. Let f(b) = -3*b + 7. Calculate v*m(j) + 2*f(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1105 and 260?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by (5\/(20\/(-4)))\/(1\/(-25))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -1. Let b = -159 - 154. Let r = -310 - b. What is the third biggest value in r, n, 16?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3 = 0, -3*z + 4*t = -7*z - 4. Suppose z = -3*l + 1 - 4. Which is the second biggest value? (a) 1 (b) l (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 7*s + 2. Let z be y(7). Suppose 0 = -2*l + 4*r + 22, 3*l + 6*r + 11 = r. Solve -l*j - 25 = z*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1318\/7 - 188. What is the nearest to -0.1 in -5, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(96)\/(sqrt(16)\/sqrt(2)))*-4.\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81 and 10\/(-4)*270\/(-75).\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 507233144?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 - -0.1. Let m = -216 - -1510\/7. Which is greater: m or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*f - 1. Suppose -o - f = -2*o. Solve 18 = o*p + 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 912 is divided by 153.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -8.9, -2\/79, 2239?\nAnswer: 2239","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16729826*s - 2340049 wrt s?\nAnswer: 16729826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -11 + 114\/72*6. What is the closest to -2\/9 in 2\/17, t, -174, 2\/13?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -109 - -71. Let q = h - -48. What is the remainder when 15 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 3. Let v(n) = -3*n**2 + 34*n - 15*n - 29*n + 11*n + 7. Determine 5*b(i) + 2*v(i).\nAnswer: -i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1.3 times -0.3\nAnswer: -0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 303\/(-6) + 18\/(-12). Which is smaller: -54 or h?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v - 9 - 8*v - 4*v. Let t = 6 + 1. Suppose 4*c = t + 5. Let w(p) = 5*p + 4. Calculate c*z(q) + 7*w(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k + 6 = -3*a, 3*k = a - 6. Let x = 20 - 36. Let m be (-9)\/(-6)*x\/(-12). Sort k, m, 7 in increasing order.\nAnswer: k, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -148 - -177. What is the remainder when l is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 279, 259, 205, 99, -77, -341, -711?\n\"Answer: -3*z**3 + z**2 - 2*z + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2868 + 5*y + 698 + 697 - 2*y + 702 + 771.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 6*n + 185. Is 14 a factor of g(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.5263 less than -19874.19893?\nAnswer: -19890.72523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -107.411 and -12.\nAnswer: 1288.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*v - 289003 = -6202*v - 36829 for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.08663 and -175390396.\nAnswer: -175390395.91337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 93234 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: Calculate -1732 - -1803 - (17 - (2 - 0)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwwvw. What is prob of picking 2 w?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1028)\/(-24)*4 - (-2)\/(-6). Let n = 272 - k. Calculate the remainder when n is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1756.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - h - h)*(2*h - 2*h - 2*h**3) + 2*h**2 - 6*h**4 + 20972 - 20930 + 14*h**4.\nAnswer: 6*h**4 + 2*h**2 + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2223\/63 - 7) + (-4)\/14. Suppose 15806 = -l*o + 42*o. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 119222835 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 54700 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - (3*(sqrt(475)*3 + sqrt(475)) - sqrt(475) - sqrt(475)))*-1)**2*-3*-2.\nAnswer: 230850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-3 + -9))\/(96\/36)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5652\/(-252) + (106\/(-14) - -8)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9025*r - 4518*r - 4512*r - 307*r**2 - 134*r**2 - 9*r**2.\nAnswer: -450*r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-two fifths of a decade?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 10*x. Let r be i(5). Suppose 4*s - 5 = -4*j - 49, 9*s - 5*j = 13. Sort 4, -2, s, r in descending order.\nAnswer: r, 4, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60882737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3500 + 3529. What is the remainder when 275 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p - 26*p + 3*r = 115587, -4*r - 69387 = 3*p. Round p to the nearest one hundred.\nAnswer: -23100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 2*z - 38. Give b(-14).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + w + 700 = 4*o, o - 4*w = 140. Suppose 3*x + 4*h = 64, x - 6*h - 43 = -3*h. What is the highest common divisor of x and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 3*d + 6933. Let w(a) = a - 1733. Give -2*g(j) - 9*w(j).\nAnswer: 2*j**2 - 3*j + 1731","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5200858 to the nearest integer?\nAnswer: 2281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(91)*-3*4 - sqrt(91)) + -1*-1*sqrt(91))\/((sqrt(7) - (sqrt(7) - sqrt(35)\/(sqrt(125) - sqrt(5)))) + sqrt(7) - (sqrt(35) - sqrt(875))\/sqrt(5)).\nAnswer: -16*sqrt(13)\/7 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9))**(-35) assuming f is positive.\nAnswer: f**315","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, b: 2}. What is prob of picking 1 b and 2 n?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**4\/4 - 14*u**3\/3 - 5*u**2\/2 + 7*u - 19. Is v(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4)*-4)\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*6\/48*(-1)\/3.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-22)\/(-6) - 4)*-117. Let i = w + -29. Calculate the highest common factor of 30 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*t**3*v**2 - 404*t**3*v + 125*t**2*v**2 - v**2 + 2*v wrt t.\nAnswer: 24*v**2 - 2424*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**3 - 8*w**2 + 2*w - 9. Let d(s) = 3*s - 16*s**2 - 17 + s**3 + s + 6*s**3. Let b(i) = -2*d(i) + 5*x(i). Let z be b(8). Sort 4, 1, z.\nAnswer: 1, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 259*j - 2864.\nAnswer: 259","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34227580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2753 = -259*b - 2945 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.007 and 10.7.\nAnswer: -0.0749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47732 + 67294. What are the prime factors of y?\nAnswer: 2, 9781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 430644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 0*d**3 - 5\/12*d**4 - 4*d + 0 + 7\/2*d**2. Differentiate r(y) with respect to y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2614 + 2611. Let c = -5 - 0. Sort -2\/7, x, c.\nAnswer: c, x, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 5, -10, 4083 in increasing order.\nAnswer: -10, -5, -2, 5, 4083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1410?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -5 (c) -0.2881 (d) -0.215\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**5\/20 + 11*d**4\/12 - 5*d**3\/3 - 7*d**2\/2 - 856*d. Calculate c(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96126035?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18.9 - 16.9. Suppose 0*l = -4*l - 4. Which is the smallest value? (a) g (b) 11 (c) l (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2156 - 2156. Which is the closest to 0? (a) y (b) 4\/41 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 247, 249, 251, 253, 255?\n\"Answer: 2*q + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -6 - (-8 + 2) - (1 + -487)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1064.2 - -1064. Let s = 3.06 - 0.06. What is the smallest value in y, 2\/11, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-28)\/(r**(1\/12)*r))**(10\/3) assuming r is positive.\nAnswer: r**(-1745\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, u: 1}. Give prob of sequence us.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 18 = 3*n, 524*n - o + 87 = 512*n + 2*o for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48883 is divided by 221?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0185121 rounded to four decimal places?\nAnswer: 0.0185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**2 - 2*y**2 - 2*y**2)*(0 + 0 - 2) + (0 + 0 + 2*y)*(-3*y + 7*y - 3*y) + y**2 + 3*y**2 + 0*y**2 + 20*y**2 + 13*y**2 + 18*y**2.\nAnswer: 55*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z + 28. Let o be t(-4). Let j = o - 9. Calculate the remainder when 50\/3 - 2\/(-6) is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -20*w - 4. Give q(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 13*w - 66*w + 80*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 - 3*h. Let w be n(2). Suppose -12 = 2*y + 5*v + 7, 5*v = w*y - 31. Solve 12 = 2*o - 3*t, -y*o + 0*t - t = -7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1311, -1309, -1307?\nAnswer: -1305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -286b?\nAnswer: 2873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -524.7, 86.44, -0.4?\nAnswer: 86.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 224 = 249 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 506 divided by 22?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5228, 5, -5, 4, -2\/17, 2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.1457?\nAnswer: -0.05828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -21*j + 413. What is y(20)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c - 5. Let d be s(8). Suppose n - 30 = -n - d*a, 2*n = a + 14. Suppose -3*u = n - 27. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*p**2 + 2 - 2 - 16*p**4 + 13*p**4 - 5*p**3 - 1 - 26*p**2 + p in the form d*p + j + k*p**2 + t*p**4 + u*p**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166718 is divided by 48?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*a**2*s**3 - 69*a**2*s**2 - 146*a**2 - 398*s**3 - 2*s**2 wrt s?\nAnswer: 210*a**2 - 2388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 125114777 to the power of 1\/2, to the nearest integer?\nAnswer: 11185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 404 divide 20679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -337, -1133, -2421, -4171, -6353?\n\"Answer: 5*l**3 - 276*l**2 - 3*l - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2. Let q be 2 + 0*1\/3. Let m(n) = -n**3 + 2*n**2 + 2. Let v be m(q). Let y(s) = -v*s**2 - 4*s**2 + 4*s**2. Give y(d(f)).\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -999398216 rounded to the nearest one million?\nAnswer: -999000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-1)*t))**36*t**(1\/4)*t*(t*t*t**(-4\/7)*t)\/t)\/((t\/(t\/(t**0*t))*t)**(-18))**(-30) assuming t is positive.\nAnswer: t**(-29157\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0.08, -4, -2, 0.115?\nAnswer: 0.115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -0.4 (c) -1\/7 (d) -279\/14 (e) -0.28 (f) -5\/3 (g) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 518740579 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*g**2 - 19*g + 19*g in the form h*g**2 + w + j*g and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14\/3 (b) 3\/2 (c) -0.03512976 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -506*j - 3 + 509*j - 3.\nAnswer: 3*j - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.206 minus 42?\nAnswer: -41.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 + 23*z**2 + 14*z + 25. Let g be s(-11). Let r be (-28)\/g*(-92)\/(-161). Solve -1\/4*x**4 - 9\/4*x**r - 1\/2 + 5\/4*x**3 + 7\/4*x = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*b + 4*b - 2*b + b + 4*b.\nAnswer: -19*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6993180?\nAnswer: 2, 3, 5, 38851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*m - 42 = 0, 5*m = 3*x + 3 - 37. What is the remainder when 25 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1377 divided by -8844\nAnswer: -459\/2948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/21*(-15)\/(-40)*2. Which is bigger: 266 or z?\nAnswer: 266","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1775 is divided by 357?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a micrometer in nanometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -85 (b) -0.0938 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 236 and 7611?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 199?\nAnswer: -2\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/156 and 15\/806.\nAnswer: 4836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lltl when four letters picked without replacement from ttltllllltl?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4236 - -6065. Calculate the highest common divisor of 177 and h.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50757131*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4\/9 (b) -5 (c) -3\/7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1196 = -2*k, 3*p + 3*k = 2*p + 401. List the prime factors of p.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (j - j + 2*j)*(162 + 203 - 40 - 51) in the form a*j + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 11*q**2 - 10*q - 14. Let w be o(10). Let a = -10 - w. Solve -2*i + 1 = -a*i - h, -4*i - 9 = -5*h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1387, 5574, 12553, 22324, 34887?\n\"Answer: 1396*p**2 - p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22.12426 and 647526.\nAnswer: 647548.12426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77660 - 66709977\/859. Calculate the common denominator of -15\/2 and t.\nAnswer: 1718","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(90)*-4 - sqrt(90)) + sqrt(90))\/sqrt(9))\/(-2*sqrt(80) - sqrt(5)))**2.\nAnswer: 32\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 3. Let n be d(0). Let k(v) = v - 4. Let l be k(n). Let i be l*(-2)\/(-6)*-6. Solve 2*w - 4*j = -2, -j + 3*j = i for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2315a (base 14) to base 7\nAnswer: -503543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 15. Let z be u(11). Let k = 101 - z. Let g = k - -150. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 3*s = 6, -3*s + 12 - 23 = -4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4536 divided by 81\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65 - 60. Suppose 3*v = -s*q + 3, 6*v - 3*v + 3*q = 3. Suppose 32 = 2*a + 2*t, 2*a - t - v = 19. What is the highest common divisor of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 11*g**3\/6 + 10*g**2\/3 - 151*g\/6 + 20 = 0?\nAnswer: -5, 1, 24\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*v - c - 7 = 0, 2*c - 18 = -2*v. Let r(u) = u. Calculate the least common multiple of r(v) and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11 + (-88)\/(-4))*8*9\/792. Suppose -3 = -p, -3*z - 3*p + 1 = z. Put 2\/9, f, -3, z in descending order.\nAnswer: f, 2\/9, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1180 and 4248?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 - 25*k + 28 + 29.\nAnswer: -25*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10286 and 42218887.\nAnswer: 5143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -113859*i**2 + 569293*i + 11. Calculate q(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1892858 is divided by 305?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/z**(-2\/7)*z)\/(z\/z**(-5)))\/(z**2)**(1\/23))**(-40) assuming z is positive.\nAnswer: z**(18040\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (32\/12 - 3)*6\/(-16)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, q: 2, l: 5, r: 5, m: 5}. Give prob of sequence rff.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0*k*k**(-12)*k*k)**(-15)\/(k**(3\/2)\/(k\/k**(-1\/10))*((k*k\/(k**(-8)*k))\/k*k)\/(k\/(k**2*k))) assuming k is positive.\nAnswer: k**(618\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 685 + 386 = 5*s - 4*h, s + 5*h = 191. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 7*j**2 - 7*j - 1. Let p be a(-6). Solve 3*h = f - 8, -3*h + p*f = -7*h + 21 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9, a: 5}. What is prob of sequence as?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -45873337.5 to the nearest 10000.\nAnswer: -45870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23918, 47821, 71722, 95627, 119542?\nAnswer: 143473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by -3276?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2*k + 3*k**3)*(37 - 47 - 58).\nAnswer: -204*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 12 = i, -8 = -0*i + 2*i + 2*l. Suppose i = -6*z + 21 + 45. Calculate the greatest common divisor of z and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -118*v**2 - 134*v**2 + 26*v**2 + (2 + 2*v - 2)*(-v + 3*v - 3*v) + 5*v**2 - v**2 - 3*v**2 - v + v - 4*v**2 in the form l + g*v**2 + m*v and give g.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) -2\/23 (c) -1385 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + 8 + (2 - (1 - (-1 + -6))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -40108201 + 0.05968\nAnswer: -40108200.94032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2368 and 790336.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 186885735 to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-2)*(14824784\/(-1058915) + 14)*2. Which is greater: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 384 = -4*c + 72, 2*o = -c + 208. Let a = o - 103. Calculate the highest common factor of a and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from apwxapxaaxwxyxwyxja. Give prob of picking 1 p, 1 x, and 2 a.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + d**2 - d - 6. Let r be t(0). What is the units digit of 2\/(-5)*(1 + r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trtr when four letters picked without replacement from rtrmt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 1 - 5)*(3 + 1 - 2) - 1 + 4 - 1 + 1 + 1 - 4)*(-3*q + 2*q + 2*q)*(-6 - 10 + 19) to the form k + r*q and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*j + 220*j - 486*j + 60 = -6*g, j + 8 = -5*g for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 7*q**3 - 3*q + 2. Suppose 5507 = -15*k + 5522. Give l(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6*l + 4. Let p(h) = 13*h - 9. Let d(a) = -4*p(a) - 9*t(a). Let q(g) = 25*g. Calculate d(q(i)).\nAnswer: 50*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqt when three letters picked without replacement from qqtt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 3*k = k - 8, -41*b - 2*k = -45*b - 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 + 2185 = 8*i. Let c = i + -271. Let o = -5 - 0. Which is smaller: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 + -7 + (93 + 17 - 88)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-3 + 1 + (sqrt(11) - sqrt(99))*-3)**2.\nAnswer: 6*sqrt(11) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 8666447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from {j: 3, w: 17}.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s = 21*s + 5*n - 2935, 2*n = 2. Let a = -589 - s. Sort 9, -2, a in increasing order.\nAnswer: a, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 4*h + 4, h = -8*j + 5*j + 1. Is (-18 + j)\/((6 + -1)\/(-10)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6))\/(32\/(-64)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 47 = 780*w - 780*w - 52, w - 3*c = 35 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 160832 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34972\/9 + -3886. What is the nearest to -0.1 in 0.5, k, 0.2, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9 + -0.5. Suppose 7 + 1 = 2*u, 0 = -2*p - 2*u + 10. Which is the closest to 0? (a) z (b) 3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/37705, 6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3001 - -2120112230?\nAnswer: 2120103223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*g + 46179. Let i = g + 10418. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 409815538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t = -25*t + 12. Let i be 1*(t - (1 + 1)). What is the third derivative of -5*d**i - 8*d**6 + 12*d**6 - 5*d**6 wrt d?\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37810?\nAnswer: 2, 5, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/3 greater than -0.5517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k**4 - 6*k + 6*k)*(3 - 4 + 0)*(0 - 8 + 0) + (9*k**4 - 10*k**4 + 4*k**4)*(4 - 6 + 3) to u*k**4 + v*k + r + w*k**3 + h*k**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000016315 rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25400*t**4 - 42*t**2 - 91*t - 2 wrt t.\nAnswer: -609600*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.12, -0.1, -12, -3\/2, 1.5647?\nAnswer: 1.5647","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 16715, 16709, 16701, 16691, 16679, 16665?\n\"Answer: -d**2 - 3*d + 16719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*y - 6 = 2*l, 0 = 4*l + y + 12. Let r(g) = -g**2 - 5*g + 7. Calculate the remainder when (2\/3)\/((-1)\/l) is divided by r(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3547*0.223\nAnswer: -790.981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -7*z**3 + 9*z**2 + 10*z - 12. Let a be f(-4). Calculate the remainder when ((-2)\/(-4))\/(15\/a) is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020202 + -11?\nAnswer: 2020121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3378?\nAnswer: 2, 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 (base 8) in base 15?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express j**4 + 3*j**4 + 559*j**2 - 49 + 2*j**3 - 281*j**2 - 279*j**2 - 11 as x*j + z*j**4 + b + o*j**2 + v*j**3 and give b.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m + 26. Let f(j) = 4*j + 3. Let d be f(2). Let i be y(d). Suppose -15*u**2 - i*u**4 - 4*u - 19*u**3 + 3*u**2 + 7*u**3 = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.72875kg in nanograms?\nAnswer: 78728750000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 109 = -0*b + t, -5*b + 5*t + 155 = 0. Let s = 326 - b. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*q = 4*z - 256, 0 = -5962*z + 5965*z - 6 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in -4, 5, 2\/11, -2\/7, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*k + 73*k + 90 = 154*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 5*u**2 - 6. Let n be h(-5). Let t = 6 + n. Solve 0 = 3*w - t*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*a**2 - 10*a**2 + 14*a**3 + 51*a**2 wrt a.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -6. Suppose -2*o - 4 = 3*y, 3*y + 41 - 13 = 4*o. Let g be ((-4)\/(-4))\/(o - 3). Put t, 0, g in increasing order.\nAnswer: 0, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(960\/36)*10\/(-3)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1200131132 (base 4) in base 5?\nAnswer: -100120402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 10 = -0. Suppose 0 = d*c - a - 43, 2*c - 2*a = -c + 67. Suppose -4*r = -9 - 7, -4*r + c = y. What is the smallest common multiple of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 + 0*x**3 - 120 - 12*x**3 - 9*x**3 - 8*x**3 + 64*x**2 + 404*x.\nAnswer: -4*(x - 5)*(x + 3)*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 0*k - 7\/45*k**3 - 43\/180*k**4 + 18*k**2 - 1\/100*k**6 - 23\/150*k**5 + 0. Factor t(a).\nAnswer: -2*(a + 7)*(3*a + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-6) + (-32)\/(-6). Differentiate m**3 - d*m**4 - 8 + 1 - m**3 with respect to m.\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*t + 83*l - 88*l, t - 454*l = -452*l - 11 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/15)\/1)\/(-2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 495 and 27?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*k = 17, 0 = 5*p + 5*k + 31 + 4. Let m(c) = -c. Let v(q) = 5. Let w(f) = p*m(f) + v(f). Let z(j) = 3*j + 6. Give -5*w(y) + 4*z(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(176) + -1*sqrt(176))*1 + sqrt(176))*-1 + ((-4 + sqrt(176) + -3 + sqrt(176))**2 - sqrt(176) - ((1 + sqrt(176) - sqrt(176)) + 3)).\nAnswer: -120*sqrt(11) + 749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 20 = -4*f, 15*r - 11*r = -3*f + 34. Let j be (3*(1 + 0))\/(2\/(-12)). Calculate the lowest common multiple of f and ((-12)\/j)\/((-8)\/(-108)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*d**2*s + d**2 + 404*d*s + 8*d wrt s?\nAnswer: 3*d**2 + 404*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 45276?\nAnswer: 45276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 528*h**2*o**3*x**2 + 36*h**2*o*x**2 - h*o**3*x - 5992*h*o*x**2 wrt h?\nAnswer: 1056*o**3*x**2 + 72*o*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*x = 9, -2*x - 36 = -4*i + x. Suppose -3*t + i = -0*t. Let c(d) = -t*d - 2 + 8 + 2*d. Calculate c(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -613 times 9818.69\nAnswer: -6018856.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002728018 rounded to 5 decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3256 divided by 2.\nAnswer: 1628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 + -110100101011101?\nAnswer: -110100101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -817456*d*m**3 + d*m**2 - d*m + 3*d + 26*m**3 + 2*m**2 + 3303533 wrt m?\nAnswer: -4904736*d + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*g + 2. Is g\/(-3) + 2284\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 7*h + 5. Let p be w(4). Suppose n = a - 2, n + 4*a - 16 = 2. Suppose -q - 4 = -i, -4*q - 7*i - 52 = -n*i. Is p at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/((-10)\/4 - 2201\/(-899)). Let l = 701 + -359. Let t = l + -168. What is the greatest common factor of c and t?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r = 28*r + 11*r. Solve -u - 5*x - 5 + 0 = r, -x + 8 = 2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -4, 12.\nAnswer: -4, 1, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10516 by 4.\nAnswer: 2629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11823602 to the power of 1\/2, to the nearest integer?\nAnswer: 3439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 258\/36 - 8 - (-1357)\/138.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 15*w + 7. Determine y(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2015.74 + -347.4\nAnswer: 1668.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 10, -104 in descending order.\nAnswer: 10, 2, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3 - 15*u - u**2 - 4 + 1. Suppose 0 = -t + q - 9, 5*t - 3*q = -4*q - 45. Does 12 divide i(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - (2 + 1 + 7 + 0).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/6 + (161\/(-21) - -1). Let a(y) = 2*y**3 - 9*y**2 - 7*y + 10. Let n(c) = -c**3 + 3*c**2 + 2*c - 3. Determine d*n(t) - 2*a(t).\nAnswer: 3*t**3 - 3*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -577*y = -593*y + 96 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 264541906 to the power of 1\/3, to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5 - 2. Suppose 0 = -5*t + j + 18. Suppose -107278 = t*n + 602722. Round n to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -130 in -7\/169, -1\/2, -2, 2\/9, -1, -0.84?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -55*p**5\/12 - p**4\/24 - 2549*p**3\/6 + 3*p**2 + 99. Differentiate r(z) with respect to z.\nAnswer: -550*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/11)\/(3\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n + 28. What is l(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 6*d**2 + 6. Let g be u(6). Let z(l) = -3*l - 2*l + 12*l - 6. Let t(b) = b - 1. Determine g*t(f) - z(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iititti. What is prob of picking 3 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) 4 (c) 2 (d) 13541\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*s = 3*s + 4800. Which is smaller: 151 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 8*i - 67. Let k be (4\/20)\/((-756)\/765 + 1 - 0). What is r(k)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1968*k - 13640 = 1286*k for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bg when two letters picked without replacement from bbbbbbbbngbbggbb?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/18 + -5\/9. Let m = -2 + 2.5. Let d be ((-2)\/30)\/((-2)\/6). Which is the nearest to 2\/3? (a) s (b) d (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633542963 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 10823 and 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 10*d - 4*s = -60, 5*d = 5*s + 75 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -5. Suppose 548 = u*r + 32. Let s = r + -169. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 1 + 6)*(26*t**2 + 9*t**2 - 13*t**2) + 1 - 1 - 2*t**2)*(-1 + 1 + 2).\nAnswer: 40*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4 = -2*u + 3*c, 2*u = -c - 2. Suppose -5*m + 4*n - 8 = u, -8 = 5*m - 3*m - 4*n. Solve m = d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*h - 637660 = -1325934 - 2405070. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 6:38 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 421883070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.173+-1.8\nAnswer: -1.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + (-8)\/(-4))*3827320\/(-80) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 258324718 to the nearest integer?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3456, -2, -5, 1148, 4, -3, 1 in ascending order.\nAnswer: -3456, -5, -3, -2, 1, 4, 1148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/13 - 64*c**2\/13 - 32*c - 768\/13.\nAnswer: -2*(c + 4)**2*(c + 24)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63579*u**5 - 20*u**2 - 1048 wrt u?\nAnswer: 3814740*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1489.2 rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-25)*10\/(-12)*(-31)\/((-1395)\/18)?\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) 1 (c) 0.053 (d) -21\/68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**5 - 2*g**5 + 0*g**5 + (-1 + 1 + 2*g**4)*(5*g - 3*g - g) + 15*g**5 - 69*g + 69*g - 4*g**2 - g**5 + 4*g**2.\nAnswer: 17*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2227?\nAnswer: 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -1)\/((-540)\/405).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -632542, -632545, -632546, -632545, -632542, -632537, -632530?\nAnswer: -632521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1007193*w**2 - 2*w - 14462037 wrt w.\nAnswer: -2014386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/8210 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 466003\/20 - 23300. Let v(m) be the third derivative of -6*m**3 + z*m**6 + 9\/20*m**5 - 1\/2*m**4 - 1 + 0*m - 6*m**2 + 1\/70*m**7. Solve v(b) = 0 for b.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-2)*r)\/r)\/(r\/(r**(2\/3)\/r*r)))\/(r**(-2)\/(r**(-2\/7)\/r)) assuming r is positive.\nAnswer: r**(-13\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1742 + -17?\nAnswer: -1759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.15387 + 6.59097. Let p = 5.47 - w. What is p rounded to three decimal places?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790 is divided by 133?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5600) - (sqrt(5600)*2 - sqrt(5600))) + sqrt(56))\/sqrt(8))**2 + 5*sqrt(14)\/(sqrt(2)*1).\nAnswer: 7 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 18.8. Which is the nearest to 2\/3? (a) -0.4 (b) -2\/9 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 + 485*p + 485. Let s be a(-1). Let j(i) = i**2 + 6*i + 2. Let q be j(-6). Suppose q*v = -v + 6. Solve 0 = s*f + v*f + 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-35))\/(m\/m**17) assuming m is positive.\nAnswer: m**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.85628nm to kilometers.\nAnswer: 0.00000000003085628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.639837 to two dps.\nAnswer: -10.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/25, 0, -2, 0.1036, -3?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8355 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 239 + -234. Suppose -2*k + 2*a = -10, 4*k - 5*a - 1 = x*k. Solve -k*i - 11 = 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*s + 2 = 159*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 33\/33 - (-4 + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105906302 to the power of 1\/2, to the nearest integer?\nAnswer: 10291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -240\/11 - -22. Which is the smallest value? (a) z (b) -2 (c) -53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*a + 4*m, 0*m = -a - m - 3. Is (-156660)\/(-160) - (-1)\/a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110001000000 (base 2) to base 14\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q**2 - 6*q**2 - 7*q + 21*q**2 + q**3 - 3 - 4*q**2. Calculate k(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -7*s**5\/5 - s - 7. What is the derivative of y(x) wrt x?\nAnswer: -28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*a**3*m**4 - 9*a**3*m**2 - a**3 + 6 wrt m.\nAnswer: -20*a**3*m**3 - 18*a**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88165 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5 = j + 46, -s - 155 = 3*j. Let u = 53 + j. What is the second derivative of -33*f - 16*f**2 - 3*f**u + 12*f**2 - 37*f**2 wrt f?\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + m - 40 = 0. Let z(o) be the first derivative of o**2\/2 + 6*o + 2. Calculate the smallest common multiple of m and z(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69 + -66. Suppose -i*j = 2*j + y - 1939, -2*j = 4*y - 790. Suppose -4*v - 2*p + j = -169, v - 130 = 4*p. List the prime factors of v.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5506476.\nAnswer: 2, 3, 23, 71, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (70 + -56)*(-4)\/(-14)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 803 + 761 = 0. Let x(s) = s**2 - 3*s - 5. Calculate the remainder when p is divided by x(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -9*j - 285. Let k be l(-32). Which is the second biggest value? (a) -0.2 (b) 5 (c) k (d) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/15)\/(((-80)\/25)\/(-4)). Let n be (-3)\/(-2)*(-32)\/(-24). Factor -x*f**n - 1\/4*f**5 + 3\/4*f - 1\/2*f**3 - 1\/4 + 3\/4*f**4.\nAnswer: -(f - 1)**4*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -31, -64, -97, -124, -139, -136, -109, -52?\n\"Answer: s**3 - 6*s**2 - 22*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1.000331mm?\nAnswer: 0.001000331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -139269*a - 33. Let y(b) = 2*b**2. What is z(y(j))?\nAnswer: -278538*j**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, 956, -94 in ascending order.\nAnswer: -94, -56, 956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 26. Let p be g(0). Let r be p\/(-8) - (-1)\/(-4). Suppose 3*h + 2*x - 31 = 0, 3*h - r*x = 5*h - 19. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 718551907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -12 + 16 + 2\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -767 divided by -767?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 3*l + 3, 3*m - l - 1 = -12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from {i: 2, k: 3, y: 2, n: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q - 4*q - 7*q)*((-7*q + 0*q + 0*q)*(1 - 3 + 1) + 14 - 15 - 10*q + 3) as z*q**2 + n + c*q and give z.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -189*w**2 - 149*w. Let q(r) = 3*r. Let k(x) = g(x) - 5*q(x). Find the second derivative of k(z) wrt z.\nAnswer: -378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/7 + 863078*m\/7.\nAnswer: 2*m*(m + 431539)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2\/17 (b) 3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*j**3 + 0 - 4\/5*j - 6\/5*j**2.\nAnswer: -2*j*(j + 1)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -163, -1346, -4559, -10816, -21131, -36518, -57991?\n\"Answer: -169*h**3 - h**2 + 3*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*b + 116, b + 2*v = -4*b - 145. Let p = -17 - b. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7076317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (20\/(-6))\/((-6)\/9). Suppose 3*b + 0*b + q*c = 11, -3*c = 3*b - 9. Suppose -5*s - t + 155 = 0, -b*s + 0*s + 74 = -2*t. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -12 + 2 - (-1 + 2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23749.\nAnswer: 11, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - 0.1. Let z = -1.16 - -0.16. Are z and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -1024 in descending order.\nAnswer: 4, -5, -1024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -13*b + 16*b + 2*q - 8, -13*b - 3*q = -121 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 4*y - 5*y. Suppose -4*i - 44 + 132 = y. Suppose i - 35 = -p. What is the remainder when 35 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11\/368 + 10821\/368. Is x less than 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*x + 0*x + 2*x)*(2*x**2 - 2*x**2 + x**2) + 0*x**3 - x**3 + 6 - 12)*(-4 + 2*x + 4).\nAnswer: -6*x**4 - 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.7042213 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 8) in base 9?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86297?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 20 = 12*f. Let o be 4 - f - 9\/9. Suppose 4*s - 2 = 4*r - 6, 9 = 2*r + o*s. Solve -3*m + 25 = r*m, 4*c + 3*m = -5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -46033*d - 545. Let n be k(35). What is n rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/21 - (-1538)\/(-6). Let q = g + 260. Solve 3*z + 19 = -q*n, z - 2 + 11 = -4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 7. Differentiate -25*l - 14 + 60*l - 23*l - d*l with respect to l.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/(-10))\/(345\/1564)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-24))\/(6\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r = -4727 + 4551 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 34.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r, -2*y + 6 = -0*y - 2*r. Let j be (y + 2)\/((-1)\/(-268)). Suppose s = 5*s - j. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 83*y**2 + 2*y - 1. Let t be p(1). Let m be 3\/(-2) - 7263\/(-538). What is the greatest common factor of t and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2742 = 546*l - 1626 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - -15. What is the remainder when 167 is divided by k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1862 times 0.48\nAnswer: 0.089376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01351, 1\/7, 4, 9 in decreasing order.\nAnswer: 9, 4, 1\/7, 0.01351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25162991.\nAnswer: 7, 3594713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2. Let q(k) = -236*k**2. Calculate q(t(g)).\nAnswer: -236*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2)**(-34)*g\/(g**(-10)\/g)*g*g*g*g\/(g*g*g**8) assuming g is positive.\nAnswer: g**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03 - 0.01. Let o = 0.01 + i. Round o to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 10:20 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 310, 453, 596, 739, 882?\n\"Answer: 143*f + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 78602 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 40132508 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 + 140. Does 21 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -488 and -0.4.\nAnswer: 195.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7559847601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5673)\/(-244) + -22)\/(2*6\/4). What is the nearest to 5 in t, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b**4 + 298666*b**3 - b**2 - 2343946*b wrt b?\nAnswer: 48*b**2 + 1791996*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -90, -191, -292, -393?\n\"Answer: -101*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/10, 0.2, -1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7*(-120)\/210)\/(-15 - 3).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 4:04 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230*p = -245*p + 30. Solve 4*g + 26 = 2*x, -3 = -0*g + p*g + x for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 196\/11, -5, -2\/5, 2.2, -0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g**4 + 2*g**4 - 4*g**4)*(36 - 156 - 12) as r*g**2 + f*g**4 + b + i*g**3 + n*g and give f.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 928909.3g in micrograms?\nAnswer: 928909300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5355*v + 74. What is the tens digit of f(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 10:35 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = s, 0 = 163*p - 164*p - 2*s - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 11*c - 15. Determine d(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z**3 + z**2 - 15*z - 15. Let m(r) = 3*r**3 - 2*r**2 + 14*r + 14. Let c(p) = -5*m(p) - 4*t(p). Is c(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**2 + 4571*t - 324208. Calculate w(67).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 + 9*y + 2. Give w(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4.6 - 1525\nAnswer: -1520.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 56383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**6\/40 - k**5\/12 - 7*k**4\/12 + 2*k**3\/3 - k**2 + 13. Let b be f(-5). Calculate the highest common divisor of b and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y = -23*y + 3*u + 4, 0 = y - u - 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 694327807 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + sqrt(19) - (1 + sqrt(19) + sqrt(19) + 4 - sqrt(19))**2.\nAnswer: -43 - 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3902 is divided by 261?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-4))\/(-28)*6321\/(-1505)*(-10)\/4\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7 + 12*(-20)\/(-32). Let t(d) be the second derivative of -8*d + 1\/3*d**3 + 0 - z*d**4 - 1\/2*d**2. Give t(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 576 and 3264?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(190) - (sqrt(190) - -1*sqrt(190))))\/(sqrt(160)*3) + -2.\nAnswer: -2 + sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = f - 8. Suppose f = -5*p + 17. Suppose s - 8 = -p. Let c(k) = -k**3 + 4*k**2 + 6*k - 3. Determine c(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 + 778035*o - o**2 + 1 - 778018*o to the form z + g*o**2 + u*o and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 1\/6*x**4 - 3*x**2 + 0 + 2*x - 2\/3*x**3. Factor y(v).\nAnswer: 2*(v - 3)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/8 and -55\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 112.736 - -0.264. Let f = l + -113.118. What is f rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1883*f**2 - 5129*f**2 + 1105*f**2.\nAnswer: -2141*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201110121202 + 10?\nAnswer: 201110121212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmdb when four letters picked without replacement from mbdmdbdb?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5271 - -5386. Which is smaller: 118 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8 and 0.21.\nAnswer: 8.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3531283174 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: Let o(j) = -58*j**3 + 5*j**2 + 4*j - 2. Let t be o(-1). Let g(b) = 8*b**2 + b - 1. Let i be g(1). Let h = i + 11. What is the highest common divisor of h and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -150 or 13?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 41. Suppose -t*v = 12*v - 125. Let d be (-13)\/(-78) - 13\/(-30). What is the fourth smallest value in -0.2, 2\/15, d, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*j**5 + 11*j**5 + 4*j**5 + (2*j**2 - 7*j**2 - 5*j**2)*(5*j**3 - 9*j**3 - 4*j**3).\nAnswer: 102*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2944 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**5\/2 - 9*y**4\/2 - 7*y**3 + 18*y**2 + 36*y = 0.\nAnswer: -6, -3, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 242 + 66. Suppose 3*o + 20 = c. Suppose 0 = -a + o - 5. Solve 0 = -3*t + n - 13, a = -4*t + 4*n - n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) -2495\/102 (c) 5 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 - 0.1. What is the biggest value in i, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 17 = 5*j + 2, -4*f - 20 = 0. Suppose j*a + 6 = 4*a. List the prime factors of a + (1 - 7) - -16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2772463.8 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -y - 1344, -q - 4*y + 672 = -0*y. Calculate the remainder when q is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*o + 179*j - 177*j, 0 = 2*o + 2*j - 4. Solve o*q + 5*r = 13, -4*q + 16 = -q + 5*r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 14, -8*d - 30 = -3*p - 5*d. Let q = 2477\/11 - 225. Which is the nearest to p? (a) -0.2 (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221212 + 21201?\nAnswer: -200011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 280 = -4*x, 5*x - 2*x = -2*p + 570. What is the highest common divisor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 15*f**2 - 511*f + 20. Calculate p(34).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -4*r - 5*y, 5*y = 4*r - 0*r - 120. Suppose -4*i + r = -42. What is the second derivative of -i*f - 12*f - 8*f - 37*f**3 wrt f?\nAnswer: -222*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkekkkkkaekekk. Give prob of picking 1 a and 1 e.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 1 + 3)*(-4*b - b + 3*b) - 2*b - 3 + 3 - 459 + 459 + 112*b to the form j + p*b and give p.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/11 + 154072684*s\/11 - 2967298994370482\/11.\nAnswer: -2*(s - 38518171)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.39 and 5.9065.\nAnswer: 6.2965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/6)\/((-18)\/783). Let b = 9 + x. Let j be 8\/(-6) - b\/6. Is j smaller than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 3*q - 2. Let c be r(-2). What is the third smallest value in 3, c, -12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14434968*w - 8845267 wrt w?\nAnswer: 14434968","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from cwzzbycwbzcz.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 8189293?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 + -69. Is (x - (2 + -17)) + -5 + 9 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47465.39932 + 47463. Let f = 14 + -11.6. Let g = r + f. Round g to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2\/13, 14, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 35 + 33. Let y = -1 - k. Let p(o) = -25*o - 1. Let n be p(-1). What is the highest common divisor of n and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**6\/2 + 33*y**5\/10 + 15*y**4\/4 + 46*y. Determine g so that o(g) = 0.\nAnswer: -3\/5, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28330\/45 - (-16)\/36. Let x = p + -369. List the prime factors of x.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -154*c**2\/5 + 3326*c + 216\/5.\nAnswer: -2*(c - 108)*(77*c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6793*r + 74881. What is the remainder when q(-11) is divided by 1\/(2\/4) - -32?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 421761 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 4:24 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, j: 5, f: 11}. Give prob of sequence ffcf.\nAnswer: 33\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 5*i - 1. Let d be l(5). Let p(m) = -m**3 - m**2 - 5*m**3 - m**3. List the prime factors of p(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 1 + 10 + -11 + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -2\/5 (c) 82 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 22. Let c be (-1)\/(42\/39 + -1). Let k = u - c. Calculate the remainder when 2 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3616630957 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orow. Give prob of sequence oo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*z + 17865 = -5*z, z + 17857 = 3*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59\/195 - 4\/39. Let s = -997 - -1001. What is the closest to -0.1 in s, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 23*u**2 - 24*u - 3. Let f be l(-24). Let z(q) = -q + 11. Let c(v) = -11. Let y(m) = -4*c(m) - 3*z(m). Let g be y(f). Solve -g - 6 = 2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = n - 191, -n + 5*a + 191 = -0*a. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 376 divided by -957\nAnswer: -376\/957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 572 a factor of 152177740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4289333 times -0.3?\nAnswer: -1286799.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 8. Let m(i) = -1. Let h(s) = -j(s) + 5*m(s). Give h(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.19, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*o + 48*o - 25*o in the form j + f*o and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/12*1)\/(8\/36)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-77)\/7 - 60\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5072279 is divided by 175?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 29.6, -2\/7, -1, -2.2 in increasing order.\nAnswer: -2.2, -1, -2\/7, 29.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 5*w + 7. Let o be (0 - 5)*(1 + 0). Let c be j(o). Let f be c\/((-3)\/(-9) + 0). Solve -3*s + 23 = 4*a, 7*s - 3*s = 5*a - f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 73517152.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 g when three letters picked without replacement from bgggggbbbg?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2904\/(-864)*-9)\/(6\/(-8) - (-32)\/32).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4 = -5*n, -n + 0*u - 4*u - 16 = 0. Suppose n = -6*q + 180 + 90. Calculate the highest common factor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-55) + (-216)\/(-30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 0.045, 0.6778?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(25)\/(sqrt(5) + sqrt(20)\/sqrt(4)) - sqrt(5))*-3 - (3*sqrt(20)*-2 + sqrt(20))\/sqrt(4)).\nAnswer: 1 + 13*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5408 * 22489\nAnswer: 12162.0512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, d: 2, u: 4}. What is prob of sequence uudv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 153361291 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: Let b = 268.94 - 280. Let h = b + 14. What is h rounded to one decimal place?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27768695 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t + 23*t + 1 = s, -3*t - 4*s + 18 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 40*h**2 - 3*h + 1. What is the remainder when l(-1) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/11*y**2 - 10\/11*y**4 + 0*y - 14\/11*y**3 + 0 = 0. Calculate y.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/14*16*(-7)\/(-336). Sort w, -4, -3 in decreasing order.\nAnswer: w, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -168660\nAnswer: -1011960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 250.057 - 250.03. Does -4\/17 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*f - f = 16, -h = f + 7. Let d be (3\/h)\/(2\/(-6)). Sort d, 4, 0.3 in decreasing order.\nAnswer: 4, d, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**2\/2 + 9*p\/2 - 42 = 0.\nAnswer: -7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8292\/(-48))\/(1\/(-52)). Suppose 2*l + 11*l = r. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7*r + 94. Let m be g(-16). Let n be m\/(-10)*10\/3. Calculate the highest common divisor of n and 117.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9*(64\/3 - (2 + -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1541 divided by -231375?\nAnswer: -1541\/231375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/2, 0.4, -0.4, 3203?\nAnswer: 3203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 s when two letters picked without replacement from {o: 1, w: 1, h: 1, s: 1, v: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 227 divided by -1372091\nAnswer: -227\/1372091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13116 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 291900 and 176.\nAnswer: 12843600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2322 - 2300. Calculate the highest common factor of 1562 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11160*v**2 + 41939*v.\nAnswer: -22320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 15. Let u = -47 + 58. Suppose u = 4*t + 3, -42 = 4*r + t. Let p be g(r). Sort 2, -2, 0, p in ascending order.\nAnswer: -2, 0, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + -21?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -505*z**5 + 9575*z**4 - 45070*z**3 + 81020*z**2 - 49240*z - 2080 = 0. What is z?\nAnswer: -4\/101, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**4*u**2 - 115062*f**4*u - f**2 + 140506*u**2 wrt f?\nAnswer: -24*f*u**2 - 2761488*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -1, 0 = 5*g - 3*j - 21 - 17. Let m(s) = 2*s - 5. What is m(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*q**2 - 8*q**2 - 3*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, o: 10}. Give prob of sequence oi.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8586027 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6466167 + 1385*j - 5905*j + 6466167)*(1 + 0 + 0) as i + c*j and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 3*b - 10, -g + b + 2 = -0*b. Solve 7*u + 5 = g*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*u + 20*u = -59*u + 6110. Is 13 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-6 - 7) - (-5 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6523804 < 6523806?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1155.4 meters in millimeters?\nAnswer: 1155400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - (-47 + 67) - 22.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1050 is divided by 308.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41 in 0.2, -2.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12744745.\nAnswer: 5, 13, 196073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8562*j - 135 = -8607*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63479, -63347, -63219, -63095, -62975?\nAnswer: -62859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29291 + -29277. Calculate the remainder when 2488 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -26*f**3 + 13*f**2 + 54*f + 54. Is w(-4) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/45 + (-2680)\/(-150). Suppose -13*s = p*s - 31. Solve 0*t - 4*t + 3*m = s, -2*t + 2*m = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -147*i**4 - 105189*i**3 - 687006*i**2 - 1498944*i - 1089024 = 0.\nAnswer: -709, -16\/7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90144?\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -7823915 and -38 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 2. Let j = 8 - 11. Let q be (-2 - j)*(3 - 2). Are w and q nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4055286 and -0.4.\nAnswer: -0.16221144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*w, 4*w + 2 + 2 = 4*q. Factor -1735*z**2 + 30*z**3 + 9*z + 17*z - 2*z**q + 1681*z**2.\nAnswer: -2*z*(z - 13)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24212*v**3 - 4 - 194*v**2 - 24214*v**3 - 4 + 8.\nAnswer: -2*v**3 - 194*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.95 + -0.05. Let t = s - -10.9. What is the third smallest value in t, -1\/7, -1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a hour in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbw when three letters picked without replacement from {b: 5, w: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9108498?\nAnswer: 2, 3, 7, 17, 12757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.6653 + -0.0347. Which is the smallest value? (a) -1\/7 (b) 4\/25 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -10*r + 3 + 2 - 4. Let b(n) = -n**3 + 6*n - 8*n**2 - 3 + 2*n + 2*n**3 - 3. Let w be b(7). Calculate z(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 46, 94, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 5*x**2 + 10*x + 3. Suppose -7*k - 4*q + 44 = -3*k, 2*k = -3*q + 19. Is c(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 7)*8\/(-10). Suppose 0 = i - 6 - 9. Let z be (50\/i)\/((-1)\/(-6)). Solve -5*x + 0*g = -4*g - 25, n*g + z = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 63*u + 62. Let r(t) = 62*t + 63. Let x(z) = 5*n(z) - 4*r(z). Differentiate x(o) wrt o.\nAnswer: 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13aa + -5e?\nAnswer: 134c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -883.\nAnswer: 7064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 73, 12, -13.\nAnswer: -32, -13, 12, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**4\/8 - 4395*h**3\/8 - 8781*h**2\/8 - 4389*h\/8 = 0 for h.\nAnswer: -1463, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 v when two letters picked without replacement from {u: 3, f: 2, m: 7, v: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (27\/6 - 4)\/1. What is the nearest to 1\/4 in 5\/3, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2620 or -2593?\nAnswer: -2593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 36 = -f + d, -3*f + 4 = -5*d. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.3 take away 599587.837?\nAnswer: -599597.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6081 by -6081.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011011111 (base 2) in base 7?\nAnswer: -3431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -401 + 1977 + 3388 = 2482*d. Factor -1\/6*y**3 - 23\/6*y + 5\/2 + 3\/2*y**d.\nAnswer: -(y - 5)*(y - 3)*(y - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s + 2*a = -1356, 0 = 4*a - 16. Suppose 4*v + s = 4*k, -11*v + 16*v + 1363 = 4*k. Calculate the remainder when k is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 0*b**5 + 0 - 2*b + 0*b**4 - 7\/30*b**6 + 1\/3*b**3 + 0*b**2. Find the second derivative of g(u) wrt u.\nAnswer: -84*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**4\/2 - 3015*m**3\/2 + 6045*m**2\/2 + 3015*m\/2 - 3021 = 0 for m.\nAnswer: -1007, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2 - w + 1. Let k(o) = 11*o**2 + 15*o - 8. Let r(s) = -4*c(s) - k(s). Let q(n) = -7*n**2 - 25*n + 9. Let j(y) = 2*q(y) - 5*r(y). Give j(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (6\/14 - (-2441951)\/(-1652))*-4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/1 + 9\/(-18)*(14 + -14). Let l(u) be the first derivative of p*u + 11\/4*u**4 - 6 - 6*u**2 + 0*u**3. Find the second derivative of l(b) wrt b.\nAnswer: 66*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65537 is divided by 10914.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + a560039?\nAnswer: a56003b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1\/173, -1\/5, -0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 - 83. Let o(p) = p**3 + 19*p**2 + 49*p + 22. Let d be o(q). Solve d*k - 3 = -9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 19, -7, -1 in increasing order.\nAnswer: -7, -6, -1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -294*r**2 + 78*r. Let u(o) = 881*o**2 - 221*o. Let j(g) = -17*m(g) - 6*u(g). Let t(y) = y**2. Determine j(t(i)).\nAnswer: -288*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.22 + -15.78. Let l = 371 + -347.7. Let c = l + u. Round c to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/403 and 36\/13.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 5*x - 10, 2*x + 378 = r + 389 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3501 less than or equal to -3529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 7*g**5\/30 - g**4\/24 - g**3\/3 - 34*g**2. Suppose 4*q - v = 2*q - 8, v = 4. Is 10 a factor of n(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -152 - -87. Let r = -66 - c. Is -1.8 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(-4)\/8 - -2. Suppose 0*p - 1060 = -2*t + y*p, -4*t = p - 2135. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1308*v**4 + 80*v**2 - 1163955*v wrt v.\nAnswer: -15696*v**2 + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11553, -45260, -101103, -179082, -279197, -401448, -545835?\n\"Answer: -11068*b**2 - 503*b + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 - 11481*p**3 + 11494*p**3 + p**2 - 6 + 2*p**2.\nAnswer: 13*p**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.18 times 5?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlweoop. Give prob of picking 1 o, 1 l, 1 m, and 1 e.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -108*y + 3. Determine x(1).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*m**4 + 486*m**3 - 136*m**2.\nAnswer: -m**2*(5*m - 68)*(7*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r. Let j(g) = -670*g**2. Give h(j(d)).\nAnswer: -1340*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1288126, 2576651, 3865176, 5153701, 6442226?\n\"Answer: 1288525*b - 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1876 a factor of 6863657416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 9) + (60 - 37) + (22 - -19)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}