diff --git "a/data/dm_maths/full_data_2/11007_11255.jsonl" "b/data/dm_maths/full_data_2/11007_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11007_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the hundred thousands digit of 106516010?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68794 and 68794?\nAnswer: 68794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217310755.\nAnswer: 5, 1459, 29789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 162093601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 10 - 11 = -3*v, 0 = 5*c + 20. Suppose m + 10 = -5*f, 2*f = 5*f + 2*m - 1. Sort f, v, -0.5 in decreasing order.\nAnswer: v, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-75)\/10 + 2\/(-4). Let t = c + 6. Let o = -81\/28 - -9\/14. Which is greater: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 19 + 1. Let x be (-6)\/4*(-1 - g). Let a = -22 - -37. What is the greatest common factor of x and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 5975.6270395?\nAnswer: -5976.1270395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -691 in -5\/4, -0.4, 0.2, 86?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**5\/30 - 5*l**4\/24 - l**3\/2 + l**2 + 2*l. Calculate the smallest common multiple of n(4) and 113.\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 16*a - 8. Let y be r(-19). Let t be (-5)\/(15\/18)*-7. Let v be (2\/(-6))\/((-2)\/t). Calculate the greatest common factor of y and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 738338 (base 15) to base 7.\nAnswer: 64465034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 23*k - 53. Let j(l) = 8*l - 18. Determine -17*j(m) + 6*u(m).\nAnswer: 2*m - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + q + 1. Let y be a(-3). Suppose 0 = z - y - 6. Calculate the highest common factor of 13 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213484451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3e + -1c?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 + 116*k**2 - 30 + 270*k - 3*k**3 - 75*k - 23*k**2 = 0. What is k?\nAnswer: -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 i when two letters picked without replacement from iihhimmm.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*(-2)\/(-12)*-28.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugu when three letters picked without replacement from neegngeueeegegegue?\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1346 - -4322. What are the prime factors of i?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 1 - 0. Let d be (-3)\/(r + 2)*-4. Solve -3 = d*v - 5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 0*u - 2\/7*u**2 + 2\/7*u**4 + 0*u**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*y**2 + 0)*(5*y**2 + 2*y**2 - 5*y**2)*(-4 + 1 + 1).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkk. Give prob of picking 2 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 256.05151148 to the nearest integer.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/2 of a year?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**4 - 3034232*o**3 - 1569*o**2 - 926 wrt o.\nAnswer: 48*o - 18205392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 8:20 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 341.782 weeks in minutes?\nAnswer: 3445162.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31.953 + 0.047. Let h = -121 - q. Let y = -152.99754 - h. Round y to four decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*r = 385413, -a - 385418 = -5*a + 2*r. Suppose 5*b = 2*b + a. Suppose 5*h - b = 10381. What is h rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.2? (a) 3 (b) -0.09 (c) 0.5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.032206 - 4.\nAnswer: -3.967794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 5*q, 5*q + 0 = 2*g - 20. Suppose w + 5 = -g*m, -5*w + 2*m + 5 = -3*m. Suppose -2*p + 34 = -w*p. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, x: 4, g: 4, f: 1}. Give prob of sequence zz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 2*p = -2*u - 10, 0 = -4*u - 5*p + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 12 = -a - 4, -s + 3 = 0. Put a, 0, -5, -3 in increasing order.\nAnswer: -5, -3, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/448*1916\/(-81). Let x = j - 1\/162. Which is the nearest to -0.2? (a) x (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**5\/10 + 13*a**4\/24 + 19*a**3\/18 + 11*a**2\/12 + a\/3 + 23. Factor u(o).\nAnswer: (o + 1)**2*(o + 2)*(3*o + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 7*l - 7. What is the tens digit of m(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97167 - 4*w**3 + 97167.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from ilpplippipiiilipllp.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389176416?\nAnswer: 2, 3, 97, 13931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 3*r - 18. Let k be p(0). Let l be (28\/(-42))\/((-4)\/k). Sort -11, l, -1, -2 in ascending order.\nAnswer: -11, l, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120036 divided by -21?\nAnswer: 5716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1799293, 1799297, 1799301, 1799305, 1799309?\nAnswer: 1799313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w + 27136 = 5*w. Does 55 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 16*y**2 + y - 1. Let w be h(2). Let m be 6\/9 + 2852\/(-12). Let g be 1\/(-3) + m\/(-9). What is the highest common factor of w and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*y - 94 + 94)*(-2*y + 4 - 4 - 5*y + 2*y + y + (-1 + 3 - 4)*(y - 2*y - y) - 2*y + 0*y + 4*y - 3*y - y + 5*y - 3*y + 0*y + y - 4 + 4 + 2*y).\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -14 - (-24 - (-58 + -3)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*f - 61543 = 0, f - 15088 = 4*d - 64312. Is 134 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/5 + 123836*t\/5 - 7222450.\nAnswer: -2*(t - 61625)*(t - 293)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60074504, -120149007, -180223510?\nAnswer: -240298013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**3 + 27*l**2 - 90 + 41*l**2 + 92 to t + u*l + g*l**3 + s*l**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 3 - j + 0*j**2 - 8*j + 12*j. Calculate h(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 384 and 398784?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7381 (base 10) to base 6\nAnswer: 54101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 10:22 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 12*z**2 + z + 12. Let u be i(12). Calculate the highest common factor of 48 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 5:36 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 1. Let b(t) = t + 3. Suppose 265*m - 267*m + 2 = 0. Suppose -2*f + 4 = -q - 2*q, 4*f - 4*q = 0. Let g(n) = f*v(n) + m*b(n). What is g(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1067933*r**2 + 179300 wrt r?\nAnswer: -2135866*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 - 8*r - 14. Let c(z) = -2*z**2 + 9*z + 10. Let t(m) = 5*c(m) + 6*h(m). What is t(-5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i. Let t(b) = -2*b**2 + 872*b. What is y(t(g))?\nAnswer: -6*g**2 + 2616*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2 - 7*b + 8*b + 6 + 6*b.\nAnswer: 7*b + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -638*v + 48. Let a(b) = 567*b - 43. Let h(k) = -9*a(k) - 8*n(k). Let r = -5 + 5. What is h(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnn. What is prob of picking 4 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 - -74. Let b be 13001 + (1 - (-2 + m))\/1. Round b to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 v when two letters picked without replacement from {m: 1, d: 2, r: 3, y: 3, e: 1, v: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**13*b**8*(b**1)**(-4))**(-25) assuming b is positive.\nAnswer: b**(-425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 58035 - 328440 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 5. Let f be l(11). Calculate the highest common factor of f and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.89 - -0.8899735. What is v rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (19 + -14)\/((-2)\/(-22)). Calculate the highest common factor of 2585 and f.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**2. Let s(b) = 589*b + 91. What is s(j(y))?\nAnswer: -1767*y**2 + 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3374.56 and -3961.7?\nAnswer: 7336.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - x - 3 = 1, 0 = 5*k - 2*x - 8. Suppose 5*z + 0*z - 175 = k. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -0.089, 2\/5, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*u)*(0*u**3 - u**3 - u**3) + u - u + u**4.\nAnswer: 7*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0094983 rounded to 4 dps?\nAnswer: -0.0095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 40*p + 280. Give v(-15).\nAnswer: 655","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 1600?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02303 - -240?\nAnswer: 239.97697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -413834*x - 203930?\nAnswer: -413834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**3\/3 + 620*w**2\/3 - 21460*w\/3 + 134560\/3 = 0. What is w?\nAnswer: 8, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*m*y**2 - 1054*h*m*y - 24*h*y**2 + 7*m*y**2 + 2*m*y - 83*y**2 - 5 with respect to h.\nAnswer: 2*m*y**2 - 1054*m*y - 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 300250, 299984, 299542, 298924, 298130?\n\"Answer: -88*r**2 - 2*r + 300340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4556\/153 + (-2 - 60\/(-27)) and 4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 531753156.\nAnswer: 2, 3, 11, 103, 13037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - (13 + -20 + -33).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38318\/(-91))\/23 + 16.\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12076 and 44.\nAnswer: 132836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -380, -729, -1080, -1433, -1788, -2145?\nAnswer: -2504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 z, and 1 l when three letters picked without replacement from lzwlwlllyywyclczyllw.\nAnswer: 16\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - n**2 - 4*n + 1. Suppose 2*z - 31 = -5*j - z, -5*j = -2*z - 21. Let p = 9 - j. Is 10 a factor of r(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21606 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/288*12*14\/63?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((20191\/133590)\/331)\/((-10)\/(-150)).\nAnswer: 1\/146","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 4 (c) 4\/9 (d) -4\/9 (e) -36 (f) 4\/15 (g) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 36*(-2 + (-1 - -4)). Suppose 4*g - 36 - w = 0. Let k = g - 10. Calculate the remainder when 23 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 * -0.0432143\nAnswer: -0.3457144","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and (-4 - -18)*220\/40?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*3\/12 - -2. Let h be (-2)\/q*(3 - 6). What is the units digit of 130\/6 - h\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 16*b**2 + 4*b - 49. Let j be c(16). Solve 5 = -r - 85*o + 80*o, -r + 5*o = -j for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 40136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 463504 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 11*c + 84 = 0. Let i(m) = -m**2 - 12*m + 19. Let g be i(c). Let f = 37\/4 + g. What is the biggest value in -3, f, 2\/99?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2 = -3*x. Suppose 0*q = -x*q - 5*z - 19, -5*q - 95 = 3*z. Let g = 60 + q. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956 less than or equal to 1956?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 607139\/753 - 492\/251. Let w = f + -16732\/21. Calculate the common denominator of ((-2)\/24)\/(2\/452) and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 plus -28667?\nAnswer: -28179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 + 48 + o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -263, -517, -769, -1019, -1267, -1513, -1757?\n\"Answer: q**2 - 257*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -2 + (32 + -14 - -5)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-3400)\/150)\/((-36)\/(-27))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*c - 95*c - 4 - 10*c**2.\nAnswer: -10*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -21164 divided by -814?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -1)\/(4\/(-8)). Suppose -3*c = c. Suppose -b*w + 8 = -c. Let k(o) = 3*o**3 - 5*o. Let z(y) = y**3 - 2*y. What is w*k(l) - 5*z(l)?\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 248710729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/(-36))\/(2\/12). What is the closest to 0.2 in 2\/15, b, -2\/3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*z**2 - 72*z**2 - 2*z + 4*z in the form m*z + t*z**2 + u and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*p = 30*p + 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 194122 by 6.\nAnswer: 97061\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -11.7, -11, 1\/6 in descending order.\nAnswer: 1\/6, -2, -11, -11.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-7074)\/(-3531))\/((-12)\/66)?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zv when two letters picked without replacement from {z: 2, y: 3, o: 1, p: 7, v: 4}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 12:20 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 307078, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - 3. Let o be ((-6)\/4)\/(g\/16). Suppose -2*k + 0*k = -4. Solve 2*j = 3*r + o, j - k = -0*r + 2*r for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79808*r**3 - 2*r**2 + 6280*r wrt r.\nAnswer: 478848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 10*w**2 - 4*w + 6. Give t(8).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -503136 (base 7) to base 5.\nAnswer: -10211030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*p**5 + 4264*p**4 + 16052*p**3 - 59536*p**2 + 19152*p = 0.\nAnswer: -38, -7, 0, 9\/25, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 71?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/12256403 or 0?\nAnswer: 1\/12256403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-1)*(10602 + 2). Suppose -z = -7*y + 4943. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (77\/(-66))\/((-1)\/4). Which is greater: z or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 - 32. Solve 40 = s*l - 4*u, 0 = l - 2*u - 0*u - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -330 (base 4) in base 7?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2. Let v(m) be the first derivative of m**2 + 2. Give v(g(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/10 and -71\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5 + (sqrt(119)\/sqrt(7) + sqrt(17))**2 + 3.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17012150 divided by 5.\nAnswer: 3402430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 212625 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -356571*u**3 - 1358*u**2 - 49.\nAnswer: -2139426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 717287 (base 9) to base 10\nAnswer: 425248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 3:49 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(75))\/sqrt(3))\/sqrt(5))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 13*z. Let s = 15 + -2. Let a be v(s). Which is greater: a or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -18*w**2 + 7*w - 3. Let v(d) = -17*d**2 + 6*d - 4. Let a(x) = -4*n(x) + 3*v(x). What is the second derivative of a(b) wrt b?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 8:10 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.87 - 14. Let g = o + 0.13. Is 0.2 less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - -2364?\nAnswer: 2372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 102 - 72. Let u be ((192\/l)\/(-8))\/((-2)\/5). Let t be ((-325)\/(-39))\/(1 + (-5)\/u). Is -5 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*a + 8 - 83, -2*a = 5*s - 171. Solve -2*n - 15 = w, 5*w + s = -3*n - 7 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36\/60 + (-4)\/(-10). Let m be (-5)\/20 - l\/(-4). Suppose m = -6*f + 9*f - 36. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 9:16 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 491*y**3 - 5541.\nAnswer: 1473*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (36\/30)\/(1*3\/5). Let n(x) be the second derivative of 0*x**3 + 0*x**g + 0 + 9*x + 1\/12*x**4. Let j(d) = -6*d**2. Calculate j(n(v)).\nAnswer: -6*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1389)\/5 + 145\/25 + -6. What is h rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 3. Let u be a(3). Let j(z) = z + 11. Let g be j(u). Let s(l) = -l**3 + 4*l**2 + 5*l + 2. Let p be s(g). Which is smaller: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 2, -18, -44, -76?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6437534 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16133*r + 19113*r - 295020 for r.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/5))**(-23))**(-3)\/((m**1)**37\/((m\/m**2)\/(m*m**(-1\/7)*m))) assuming m is positive.\nAnswer: m**(1986\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74 - -53. Let h = p - -19. Sort -3, h, 4.\nAnswer: -3, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -11, -20, -4 in decreasing order.\nAnswer: 0, -4, -11, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 2*v - 1 = 7, h = -3*v + 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s = 27*s, -3*s - 25 = 5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 942 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: Simplify (sqrt(2299)*1)**2 - (sqrt(19) + sqrt(190)\/(-2*sqrt(10))).\nAnswer: -sqrt(19)\/2 + 2299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, -0.3, 66?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 19720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 53 = 9*f + 5*q, -f - 5*q + 34 = 0. What is the remainder when 114 is divided by f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 198.24 + 0.76. Let p = h - 107. Let l = -97 + p. Which is the nearest to -0.1? (a) 0.6 (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3278.3 + -3278.2. What is the third biggest value in i, -2\/53, -0.2, 106?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036340243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5*((-60)\/100)\/((-110)\/(-10))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**2\/7 - 6252*y\/7 + 3257292\/7 = 0.\nAnswer: 1042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 158*z - 188*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3012 + 3302323333?\nAnswer: 3302333011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/(-2)*(-9 + (-1070)\/30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -91a6 (base 15) to base 3.\nAnswer: -1120012010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.5323007 rounded to 3 decimal places?\nAnswer: -23.532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17202?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-85)\/51)\/(2\/(-1272))?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108 - 56. What is the remainder when (42\/10)\/((-981)\/2180)*300\/(-14) is divided by f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109154310*r**2 + 84148350*r.\nAnswer: 218308620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228045?\nAnswer: 3, 5, 23, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 d, and 1 x when three letters picked without replacement from {a: 2, x: 1, l: 2, h: 2, d: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 390 - 5073\/13. Which is greater: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28404*j*x**2 + j*x + 323*x**2 + 2*x - 38481317 wrt x.\nAnswer: -56808*j + 646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-8))\/(25*(-24)\/(-160))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16.85658 times -0.022\nAnswer: -0.37084476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 8*v**2 - 8*v + 6. Determine w(4).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 24844.56l?\nAnswer: 24844560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (1 + -2 - (12 - (8 + 5)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3303045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1666*v + 105*v + 1562*v - 75.\nAnswer: v - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16997376*l + 8498691*l - l**3 + 8498685*l.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**5 + 141*h**4 - 759*h**3 + 1083*h**2 - 468*h = 0?\nAnswer: -52, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31483 is divided by 31218?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**5\/60 + 7*i**4\/24 + 3*i**3\/2 + 4*i**2. Let s be h(-6). Let m = 1 - s. Let b(o) = 2*o - 2. What is b(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.044 - 39.956. Let v = i - -39.99999936. Round v to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1100059 to the nearest integer?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h**2 + 82*h**2 - 6*h**2 - 50*h**2.\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 80470332*l + 80470330.\nAnswer: 2*(l + 1)*(l + 40235165)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 963966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, l: 2, x: 1}. What is prob of sequence el?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6*6\/(-8))\/(22\/440). Calculate the highest common divisor of 45 and i.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5\/7 - 8*b**4\/7 + 26*b**3\/7 + 8*b**2 - 120*b\/7 = 0. What is b?\nAnswer: -5, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1392810697851 and 340?\nAnswer: 1392810698191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10031 + -3?\nAnswer: 10023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 - 26 - 5*i**2 + (1 - 4 + 2)*(-4*i + 4*i + 2*i**2) in the form p*i + a*i**2 + b and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 12653*i. Let y(g) = -19*g**2 - g. Give p(y(h)).\nAnswer: -240407*h**2 - 12653*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 68965033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*j - 3*h - 72, -2*j + h = -32. Let k(q) = 17*q + 470. Let s be k(-29). Let v = j - s. What are the prime factors of v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-1)*(1 - 3). Let f be (z - -175)*(-9)\/(-27). Let t(w) = 7*w**2 + 59*w - f*w. Let v(j) = -3*j. Give v(t(m)).\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -48 - 4*y + 50 + y. Let u(p) = -p - 4. Let g be u(-2). What are the prime factors of a(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2656 = -36*r - 2476 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-7) + 27\/21. Let i(j) = -16*j - 2 + 26*j + 0*j - 8*j. Let u be i(n). Do 3 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 4*y**3 - 2 + (49*y + 883 - 883)*(3*y**2 - 3*y**2 - 2*y**2))*(-2*y + 2*y - 2*y) + (1 + 0 + 1)*(-2*y**4 - 2*y + 2*y) + 3*y**4 + 2*y**4 - 4*y**4.\nAnswer: 201*y**4 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 0*a - 40 + 3*a + a - a - 15. Determine x(18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 26359.\nAnswer: 4\/26359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) -2 (c) 89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-3 + -1 + 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d + 2 - 2)*(2*d - 3*d - d) + 2 - 2*d**2 - 2 + 7321*d - 14654*d - 5 + 7327*d + 18*d**2 as z*d**2 + x + a*d and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1013221 + -10030?\nAnswer: 1003131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/27*(-9)\/18*-18.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + d + 23. Let m be l(6). Let q be m\/(-25)*-1 - (-2)\/5. Solve q*y + 0 + 6 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z**3 - 7*z**2 - 2*z + 10. Let u(n) = -n**3 - n**2 - 1. Let d(r) = -m(r) - 3*u(r). Let p be d(5). Solve 0 = p*y + y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -120319 * 39.\nAnswer: -4692441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 16*b - 32. Let j be s(7). Calculate the greatest common factor of 48 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 5*d**3\/2 - 16*d + 2. Let l(r) = 7*r. What is s(l(t))?\nAnswer: 105*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/14 + (-36)\/(-21). Suppose 5*a + 5*w - 1540 = 0, 0 = -5*a + 12*w - 7*w + 1540. Suppose -2*q = k*q - a. Is 20 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -1. Let o be -1 + (3 - j\/1). Differentiate -1 - 2 - 2*w**o + 4 with respect to w.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 10 = 3*s + 1, -5*s - 25 = 0. Suppose 14 + 13 = 3*z. Suppose -4*b + 0*b = -5*v + 3, 3*b = z. Calculate the lowest common multiple of v and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, w: 1, k: 2, i: 1}. Give prob of picking 1 z and 1 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 + -37. Let b be 6\/(-1) + -1 - x. Let u be 2*b\/(-12)*-3. What is the third biggest value in u, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*s - 59*s = -180 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10431486.\nAnswer: 2, 3, 13, 44579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zaftl. Give prob of sequence tz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 319*h**3 + 273?\nAnswer: 957*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 13*z + 26. Let a be m(12). Let d = a - 90. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/((b**(-3)\/b*b)\/b)))**(33\/7))**39 assuming b is positive.\nAnswer: b**(-5148\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 - 12131302?\nAnswer: -12131212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 a factor of 1626480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32567432?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 8425*j**4 - 36*j**3 - 418*j - 14. Let u(y) = -8425*y**4 + 30*y**3 + 419*y + 12. Let r(a) = 5*c(a) + 6*u(a). Find the second derivative of r(n) wrt n.\nAnswer: -101100*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*q - 7. Let l(g) = g**3 + 7*g**2 - g - 5. Let b be l(q). Does b = 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 + (0 - -2) - (239 + -248)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111011011001011001010011101 + -10?\nAnswer: -1111011011001011001010011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.51 + -32.49. Let p = -27 - c. What is the closest to -2\/5 in 2\/7, 4\/5, p?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/1 - (-3 - -3)\/8. Calculate the remainder when (-4*(-488)\/16)\/((-2)\/f) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -17*r**2 + 8*r + 5. Let y(o) = -6*o**2 + 3*o + 2. Suppose -5*c - t = 15, 0*t - 14 = c - 2*t. Give c*a(v) + 11*y(v).\nAnswer: 2*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/8, 0.5, 5, 0.2, 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2082, 4161, 6240, 8319, 10398, 12477?\n\"Answer: 2079*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -623*-3\nAnswer: 1869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 128, 235, 344, 455, 568?\n\"Answer: c**2 + 104*c + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/35560 and 1\/162560?\nAnswer: 1137920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 432 - 431.6. Let w = 1 - 1.3. What is the second smallest value in 2, l, 5, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 2. Let b be n(-5). Let t(p) = -3*p**2 + 5*p - b*p - 3*p + 3*p. Let y(d) = 31 - 26 - 5 - 2*d**2. Determine t(y(q)).\nAnswer: -12*q**4 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 4*x**2 + 2*x + 1. Let v be h(-2). Suppose 12 = 3*u + 3*j, 4*u - 2*j = -0*j + 28. Let q(f) = -2*f + 6*f - 3*f - u. Give q(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -185, 2, 4 in descending order.\nAnswer: 4, 2, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 24. Suppose -14 = -5*c - i. Solve -18 = 4*o + c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320*l + 235*l - 70220200 = 0. What is l rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25222, -94, 3, -3 in ascending order.\nAnswer: -94, -3, 3, 25222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + sqrt(3) + 0 + sqrt(3) + 1 - (sqrt(363)*-2 - (0 + sqrt(108)))).\nAnswer: -120*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008025 to 6 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3609 + -12008\/3. Let v = m + 394. Which is the nearest to -2? (a) v (b) 2\/7 (c) -0.3 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 1382 + 3948. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8507\/5 + 1702. Sort 0.1, 1083, r in descending order.\nAnswer: 1083, r, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 85 = 104. What is the remainder when s is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-4))\/(58\/(-29)))\/((-3)\/132)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1273 (base 8) to base 11.\nAnswer: -586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/78 and -13\/36.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -120.600454237 and 0.5.\nAnswer: -120.100454237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(136)*-2 - sqrt(136) - sqrt(136)) + sqrt(136) + -6*(sqrt(136) + -6*sqrt(136)))\/(-6*sqrt(800)*3*-6).\nAnswer: 7*sqrt(17)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111000110001010 (base 2) to base 5.\nAnswer: -13033440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 223539838 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1784)\/56 + 31 - (-80)\/126.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -306572, -306570, -306568?\n\"Answer: 2*s - 306574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -88 + 380. Suppose 2*j - 4*a = -0*j + f, -4*a - 225 = -3*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**2 - 139565*w - 36907410 = 0. Calculate w.\nAnswer: -27646, -267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 35*i - 2. Let s be c(-1). Let u = 42 + s. Calculate the highest common divisor of 85 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/8 + (-5)\/(-12)*-3. Let i(g) = 63*g**2 + g + 1. Let b be i(u). Let q = b + -24. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06*-0.093.\nAnswer: -0.00558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*r - 12 = -4*x, 0 = -x - 4*r - 12. Suppose x = -2*u - 5*g + 18 + 16, 0 = 5*u - 2*g - 114. Let p = -7 + u. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.1107nm?\nAnswer: 0.0001107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 + 21*b**2 - 2*b**2 + (-2*b + b + 2*b)*(3*b + 3*b - 5*b).\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - y + 5. Let d be l(-4). Let i(m) be the first derivative of m**3 + 5*m**2 + 4. Is i(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72 - 497 + 900 + 2937 + 5*c to w + j*c and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 1)*(5 + 6 + 7)*(4*m**2 + 3*m**2 - 3*m**2) as t*m + y*m**2 + l and give y.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*j**2 - 52*j**2 + 108*j**2.\nAnswer: 27*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -287.6 - -286. Let o = -0.67 + 0.07. Let i = o - d. Which is the closest to 1\/2? (a) i (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, k: 2, b: 1, e: 1}. Give prob of picking 1 b and 1 k.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3510 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 - 3359*o**2 + 9504*o**2 - 78 + 78.\nAnswer: -o**3 + 6145*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -43 (b) -1\/7 (c) 259\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -543520 (base 8) in base 15?\nAnswer: -38e4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 39 - 2*p**3 + 23*p.\nAnswer: -2*p**3 + 23*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 2 + 4)*(14*u**3 - 9*u**3 + 8*u**3) to b*u + i*u**2 + w*u**3 + g and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1977120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 884956613963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 - -41. Let d be (-32)\/6*g\/(-174). Let w = d + 1\/29. Which is the closest to w? (a) 12 (b) -2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 26 = -5*q. Let k be (-44)\/q*(-3 - -5). Solve -5 = -2*c + 5*c + 4*y, -4*c = y + k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 32*z + 94. Let u be n(8). What is the highest common factor of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 + -2.95. Let n = -3 - -6. What is the second smallest value in -0.3, f, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -803, -837, -871, -899, -915, -913?\nAnswer: -887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 10*v**3 + 72*v**2 - 71*v - 1. Let y be i(1). Solve -10 = -2*f + 3*q, 12*f - 14 = y*f + 4*q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.3496 + 0.0416. Let k = c - -0.308. Is k at least as big as 0.16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - z + 1. Let t(k) = 3*k**3 + 4*k**2 + 2. Determine 2*i(s) - t(s).\nAnswer: -3*s**3 - 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/23, -0.0056, -0.5, -1288 in descending order.\nAnswer: 6\/23, -0.0056, -0.5, -1288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 139 + -14b?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 2. Let y(c) = 6*c**2 + 0*c**2 - 4*c**2 + 2*c. Calculate the remainder when 35 is divided by y(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/3*v**2 - 4*v**3 + 40\/3 + 44\/3*v = 0.\nAnswer: -5\/3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 280 times 36\nAnswer: 10080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/1715528 and 36\/1072205.\nAnswer: 8577640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -65 + 0 - (-3036 - -2984).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - sqrt(396)\/(1*sqrt(12)))\/(sqrt(12)*2))**2 - -1*(4 + sqrt(11) + 1)*-2.\nAnswer: -10 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*n - 42. Suppose 4*v + 5*y = 3 - 2, 5*y = -n. Let k = 66 + -71. What is the third smallest value in v, k, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 1, -17 in decreasing order.\nAnswer: 5, 1, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2117 or -8465\/4?\nAnswer: -8465\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -49\/38*u**4 + 60\/19*u**3 + 204 - 1\/57*u**6 + 24\/95*u**5 - 4*u**2 + 48\/19*u. Find l such that d(l) = 0.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of 0*u**4 + 0 + 1\/6*u**3 + 0*u - 1\/15*u**6 - 6*u**2 + 0*u**5. Determine g(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -324 - -3?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 695 - 6253\/9. Which is the fourth smallest value? (a) f (b) 1.4 (c) -2\/3 (d) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5767, -5919, -6011, -6043, -6015?\n\"Answer: 30*f**2 - 242*f - 5555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 6489627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-six fifths of a day?\nAnswer: 13248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.4061236 months?\nAnswer: 0.002005103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -426 + 731. What are the prime factors of c?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 44693, 89384, 134075, 178766, 223457, 268148?\n\"Answer: 44691*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5798.88 and -8288.3074.\nAnswer: -2489.4274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/7086*-3*(15\/12)\/5. Is r bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrjj. Give prob of picking 3 j.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((72\/(-14))\/3)\/((-5373)\/1071 + 5). Solve 0 = -j*b + 96*b + 24 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77978700?\nAnswer: 2, 3, 5, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 850726.3 litres to millilitres.\nAnswer: 850726300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**2 - 3*z - 3. Is g(-3) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4.375 (b) -1\/20 (c) 341\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 2 = 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*i**4\/2 + 387*i**3 + 1797*i**2\/2 + 558*i + 66 = 0.\nAnswer: -1, -2\/13, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 4 = 5*r - 3*k, 4 = 3*r + k. Let i(t) = -4*t - 2*t**2 + 4*t - r*t**2. Let y(v) = -v. Determine i(y(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 21992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*k - 856*k + 14215 = -131*k - 21865 for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/9 - 320*f**3\/9 + 6400*f**2\/3 - 512000*f\/9 + 5120000\/9.\nAnswer: 2*(f - 40)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -542 - -488. What is the remainder when 173 is divided by d\/(-4)*-30*(-10)\/90?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 21. Let i be g(0). Find the second derivative of -i*z - z**3 + 16*z + z**3 - z**4 wrt z.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -878450.24?\nAnswer: -87845.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -2, -0.06, 0.3, 1\/83, -3\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -217482488?\nAnswer: -217482486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**7\/i*(i*(i**(-1\/8)\/i)\/i)\/i)\/((i**(-5)\/i)\/i**(-1\/3)))\/(((i\/(i*i**3))\/i**3)\/(i\/(i\/i**(-6)*i)*i\/(i*i\/i**(7\/5))*i)) assuming i is positive.\nAnswer: i**(1193\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.081924758 to 4 decimal places.\nAnswer: 0.0819","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.1039 - -14.2738728. Let d = -0.2811 - -0.4511. Let s = d - f. What is s rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhnnnhnhnkkhh. Give prob of picking 2 k and 2 h.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 5, -120, 3, -5 in increasing order.\nAnswer: -120, -22, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5087 rounded to the nearest one hundred?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6\/5 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pglllglrpgmgrgpglgrg. What is prob of sequence rpr?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 8*g**2 - 19*g - 5. Let v be c(-2). Let j = v + 16. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l + 1028300 = 21*l. Round l to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.589 + 5.411. Which is smaller: -22\/9 or b?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 10*f + 15. Suppose 4 - 4 = 5*q. Suppose q = -4*z - 19 - 25. What is the lowest common multiple of 3 and b(z)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15745 - 14363?\nAnswer: -32330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(5\/4))**18*i*i**3*i*i**(-13) assuming i is positive.\nAnswer: i**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/101686315 or 1?\nAnswer: -8\/101686315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 391 + -372. Suppose 0 = y*h - 13 + 32. Let n = -14.21 + 0.21. Is n < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 + 18 + -31 + 3\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 5:46 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2079)\/20790)\/((-6)\/(-20)*2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 180 = 11*i. Suppose -i = 12*s - 27*s. Determine v so that 18\/5*v**4 + 4\/5*v**2 + 0 + 22\/5*v**s + 0*v = 0.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -17, 26, 0, -0.05, 49?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -605800 (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*h - 0*b + 1454, -b = 4*h - 1156. Let r(v) = v**2 - 9*v + 2. Let y be r(10). Suppose -2*t - h = -y*t. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1013651?\nAnswer: 439, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -529, -527, -525, -523?\n\"Answer: 2*d - 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 23*d + 98. Let l be v(-4). Put 22, l, 2 in ascending order.\nAnswer: 2, l, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1061523, 1061522, 1061521, 1061520?\nAnswer: 1061519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 t when three letters picked without replacement from hhhtddettd?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2256 and 341220.\nAnswer: 1364880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 216010 + 4114?\nAnswer: 222124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.04 (b) 0.3 (c) -1\/3 (d) 589\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 714+0.0458\nAnswer: 714.0458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10041 or -10043?\nAnswer: -10041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-8)\/210)\/(29*(-112)\/24360).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0137783021 to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 652*f - 1081*f - 998*f - 90*f - 614*f - 533*f.\nAnswer: -2664*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111261 + a + 26495 - 44754 + 52735.\nAnswer: a + 145737","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35513, 35479, 35447, 35417, 35389?\nAnswer: 35363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318583 is divided by 201?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/6573?\nAnswer: 2\/6573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/2*697 - (-31)\/62?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-11)*((y*y\/y**(-24)*y)\/y)\/y)**(4\/21) assuming y is positive.\nAnswer: y**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 64*x**3 + 23*x**2 - 10*x + 6. Let q(z) = 32*z**3 + 10*z**2 - 4*z + 3. What is -3*l(m) + 7*q(m)?\nAnswer: 32*m**3 + m**2 + 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 47 = 152*a - 154*a, -22 = -3*q + 5*a. Solve -25*z + m + 1 = -22*z, -m = 5*z + q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + -11. Let t be 4\/(-3)*d\/20. Solve -t*c + 10 = -0*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 4*t**2 + 9*t + 5. Let c be n(-6). Is 3\/((-6)\/(-4))*c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.15 in 2\/5, 3, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9298*v - 7721*v + 10025*v + 9300*v - 627060 = 0 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -2. Suppose -3*s - 5*y + 8 = -2, -3*s + 2*y - 25 = 0. What is the closest to c in -3\/7, s, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from ooooooohooooooooooo?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5 (b) 427 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -4. Let c(i) = 3*i**2 - 1. Calculate the lowest common multiple of u and c(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 6*o**2 + o - 4. Let l be f(6). Solve -3*y = 3*g + 6, -3*g + l*g = -4*y - 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81 + (-74 - 30) + -35.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -95 >= -95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16, 9, 0, -11, -24?\n\"Answer: -f**2 - 4*f + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 + m**3 - 5*m**3)*((-2*m + 1 - 1)*(2 - 4 + 3) - 2*m - m + m - 79 + 79 + 16*m).\nAnswer: -36*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 108*b - 2*b + 274*b in the form t + n*b and give n.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -78 + 0?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2565?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11\/186 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.08 (b) -2 (c) -1\/4 (d) 0.054\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p + s = 4061, 5*p = s + 10163. Calculate the remainder when p is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3132 - 3127. Put 0.6, -2\/3, -16, z in descending order.\nAnswer: z, 0.6, -2\/3, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 0.8, -7, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 11*v**2 + 1. Suppose 0 = -219*u + 183*u + 648. Calculate the least common multiple of u and i(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -700*w = 2818*w - 186454 for w.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.51 - 0.50856. What is d rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (1 - -381 - 1). Suppose 0 = -36*p + 171426 - 165954. Calculate the greatest common factor of p and j.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 943445.8 centuries to months.\nAnswer: 1132134960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/5 (b) 3 (c) 1.91 (d) 2 (e) -0.3 (f) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*n**3*t**2 - 239*n**3 - 2*n**2*t + 13*n*t**2 - 7*n*t + 9*n - 33128*t**2 + 61 wrt t?\nAnswer: -18*n**3 + 26*n - 66256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 3*z**2 - 3*z + 3. Let b be i(-3). Suppose 0 = 3*l - 0*l - b. Solve l*y + y = 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*((sqrt(45) - sqrt(5)) + 0 + 0 + sqrt(15)\/sqrt(3) + sqrt(5) - sqrt(30)\/(1*sqrt(6)*4 - sqrt(6))) + -1)*-5.\nAnswer: -110*sqrt(5)\/3 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 10. Let u be p(-6). Suppose 2*o + 2*o - u*j - 24 = 0, 4*o - 18 = -2*j. Let h(v) = o*v + 1 + 4*v - 4*v. Give h(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27154632 and 1829.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 390704545?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 7*q**3 + 2*q - 1. Let g be a(1). Let p be -1*3\/(-4)*g. What are the prime factors of 2\/p - (-40)\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 5. Suppose 2*s = q - m*q - 22, -10 = 2*s. Calculate the remainder when 43 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -3013332234?\nAnswer: 3013332244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 - 25. List the prime factors of w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 72*x = -77*x - 11, 0 = -5*z - x - 23 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 3, 1, 0.2, 3.6, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 6*d**2 + 6*d + 6. Let g(i) = -i**3 + 16*i**2 + 17*i - 5. Let m be g(17). Let f be s(m). Suppose 3*c = 5 + f. Solve 0*t + c*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 0. Suppose 22*x = 20*x - 18, 4*o + 7*x = -107. Put j, o, -5 in decreasing order.\nAnswer: j, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 7*z - 74. Calculate h(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*2*4\/8. Suppose -2*j + 3*k + 44 = -k, o*j = -k + 44. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5*w - 718433, -304*i + 5*w = -303*i - 359194. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) -0.1 (c) 0.4 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 + t**2 + 18*t**3 - t**2 - 3*t**3.\nAnswer: 14*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h - 9. Let l be n(-5). Suppose 0 = 2*w + w - l. Suppose -5*p + w*f + 668 = -0*p, -4*p + f + 532 = 0. Is p a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11313 (base 5) to base 16\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2.67, 1, 3, 0.7, -0.1, 0.05?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 541.7 + -542. What is the third smallest value in d, -3\/20, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 + 48.5. Let h = p + 0.9. Which is the third biggest value? (a) -0.6 (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-15)*20\/(-15).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -181 - -197.2. Let d = 0.36 + 15.64. Let u = f - d. Is u > -0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 8 = 0, 7*w - 11*w + 628 = 4*b. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3686 and 1552?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**2 + 2*p + 4. Let f be z(-1). Let c(g) = g**3 - 7*g**2 + 6*g + 4. Calculate c(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15240281, -15240250, -15240219, -15240188, -15240157, -15240126?\nAnswer: -15240095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 7) to base 14.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.69310084 and -1?\nAnswer: 0.69310084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 1329.\nAnswer: 5\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -2\/3*i**3 - 21 + 4\/5*i**2 + 0*i + 1\/10*i**4. What is b in a(b) = 0?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/16*(-180)\/(-135)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.14 - -2. Let i = 0.16 - y. Put -2\/9, i, 5 in ascending order.\nAnswer: -2\/9, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -5 - 11 - (13 - 16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m + 2*z + 16 = 2*m, 5*m + 5*z + 10 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v + 8*v + 66*v + 0*v.\nAnswer: 66*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -4*r**4\/3 + 8*r**3 - 16*r**2 + 40*r\/3 - 4 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - 2*a - 4*a)*(-2 + 2 - a) + 18*a + 8*a**2 - 18*a + 4*a**2 + 0*a**2 + 0*a**2.\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 + 0*f**2 - f**2. Let n(d) be the second derivative of d**3\/6 + 6*d. What is n(x(v))?\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.3 - 3.8. Let b = 4.065 - 1.522. Let r = b + t. Round r to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-3 + (sqrt(1872)*1)**2 - sqrt(1872)) + -1) + (sqrt(468)*2*-6)**2*2 + -3.\nAnswer: 60*sqrt(13) + 125441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1442421 - 33202?\nAnswer: -2031123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 180744 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 11:28 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4820, -4819, -4818?\nAnswer: -4817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4 = -1, 5*f = 3*b + 77. Suppose -2*n = 4*d - n - 36, 4*n = -4*d + 48. What is the highest common divisor of f and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/55662 and -85\/48.\nAnswer: 445296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32182 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28060?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (800\/(-15))\/8*15\/40?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 0)\/((-1)\/14). Suppose 5*t = -15, 5*g = -4*t + 194 + n. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 6.5. Let w = o - 0.50000141. What is w rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 298639544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -144 - -221. Suppose 68*s - n*s = -2043. What are the prime factors of s?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 48. Calculate the remainder when 39 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -694, -1704, -3028, -4666, -6618?\n\"Answer: -157*z**2 - 539*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 454997695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (-1)\/1 + 297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5406423ml?\nAnswer: 0.0005406423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.05 + -0.05. Let x = 91\/2 - 61. Let t = x - -63\/4. Which is the second smallest value? (a) 2 (b) t (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -243835 or -243838?\nAnswer: -243835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 8*l**2 + 6*l - 6. Let q be v(-7). What is the nearest to q in 1, -0.16, 3\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 527074*a**5 - a**3 - 16*a**2 + 20488 wrt a?\nAnswer: 31624440*a**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69 + -305 + 136 - -82.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - (-1 - -2)) + 3. Let r**3 + m*r + r - 4*r = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*q = -23*q - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-408)\/(-36) - 4\/(-6). Solve p = 5*l - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -17822*i - 35644. Let w be x(-2). Solve -3\/4*m**5 + 0*m + w + 3\/4*m**3 - 3\/4*m**2 + 3\/4*m**4 = 0 for m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34192b (base 13) to base 15\nAnswer: 195003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1052*p + 58*p - 19318 = 23424 for p.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from iiiiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20363 + -20354. Let o(r) = 14*r - 113. Determine o(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 420887, 420885, 420887, 420893, 420903, 420917?\n\"Answer: 2*g**2 - 8*g + 420893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 4 - 42) + (82 - 53 - 39)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 31. Let f be j(-20). Let x(t) = -3*t - 23. Let c(w) = w + 11. Let z(h) = -5*c(h) - 2*x(h). Let s be z(f). Solve s*g = -0*g + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 630089649*q**3 + 959157588*q**2.\nAnswer: 3780537894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40770 divided by -270.\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -242 (base 11) to base 4.\nAnswer: -10200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 4*f + f + 13 = 0, 5*i + 5*f = -25 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/5*11070\/(-17712).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 256452 + 0?\nAnswer: 256452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nfnynymbnfypn. Give prob of sequence fm.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/5 - (-772)\/20. Suppose 3*c + 3*k + 0*k = r, 3*k - 25 = -2*c. Suppose -160 = -6*f + c. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69103 and 17841?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 52. Solve 5*t - t - s = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**2 + u. Let p(n) = 3*n**2 + 226*n - 1443. Calculate the remainder when p(-82) is divided by b(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 13*m - 54. What is the tens digit of y(-19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2449115095.\nAnswer: 5, 7, 23, 43, 70753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*b + 197*b - 97*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 88488859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -336.333046481 and -39.\nAnswer: -375.333046481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z - 12 + z + 6*z. Let o be (-9152)\/(-176)*(-2)\/(-8). List the prime factors of p(o).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*s - 5*w + 650 = 139*s, -4*w + 436 = 2*s. Solve 3*k - 195 + s = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 17500*o**2 - 1 - 3*o**3 - 17491*o**2)*(17*o - 2*o - 4*o) as x*o**4 + i*o**2 + l*o + y + j*o**3 and give x.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2196*k**3 + 16*k**2 + 90*k**2 + 19*k**2 - 125*k**2.\nAnswer: -2196*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*-2*-1)\/((sqrt(11) - sqrt(704))*-6 + sqrt(11)).\nAnswer: 2*sqrt(11)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -45595537785 less than -0.3?\nAnswer: 45595537784.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*u = 122, -5*u - 110 - 60 = 5*h. What is the remainder when 42 is divided by h\/(-3) + (-4)\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + 2*r**3 - 2*r**3)*(4*r + 3*r - 6*r + (-r - 2*r + 2*r)*(3 - 3 - 1)).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**7\/210 - d**6\/15 + d**5\/12 + 19*d**4\/12 + 4*d**3 + 459*d**2. Factor k(m).\nAnswer: (m - 6)*(m - 4)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*32\/(-24)*(-6)\/52.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 10:58 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a second in milliseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.36421 * -2.2.\nAnswer: 0.801262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 224071447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 4 - 4)*(2*b + b - 4*b) - 3*b + 0*b + 2*b)*(15 + 0 + 22).\nAnswer: -74*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2464 + -2462. Solve 0 = -2*c + r*p - 8, -6*c + 7*c + 8 = -3*p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9088112 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 9:02 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 1. Suppose 3*c + 2 = c. Let g be n(c). What is the second derivative of -q + g - 2*q**3 + 0 wrt q?\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60788016 and 68386518?\nAnswer: 547092144","meta":{"dup_signals":{},"source":"numbers__lcm_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: Calculate prob of sequence om when two letters picked without replacement from gomzgomgogmgg.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1243, -1242, -1233, -1210, -1167, -1098, -997, -858?\nAnswer: -675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 364, 520, 676, 832, 988, 1144?\nAnswer: 1300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (4 - 2) + -2 - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/7, 3, -4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-6))\/(14056\/4683 + -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*d - g, d - g + 3*g + 4 = 0. Let m be (4\/d)\/(3\/(-6)). Suppose 3*r = 2*r + 5. Sort 2, m, r in increasing order.\nAnswer: 2, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(3\/(-6)*1). Suppose -w*u = 6 + 18. Does 8 divide (-38)\/u*(1 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 9, 2, -1 in decreasing order.\nAnswer: 9, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17728*k**6*z + 2*k**3*z**3 + k**2*z + 4*k*z**3 - 2*z - 20 wrt k.\nAnswer: 2127360*k**3*z + 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(-75))\/(2*(-3)\/18)*216\/12?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 0 = 3*v. Let r(s) = -2*s + 19. Let h be r(v). Suppose -2*f + 9*x - 4*x - h = 0, -4*x + 4 = -3*f. Put -1, f, 3 in descending order.\nAnswer: 3, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 150 + -521. Let i = f - -371.000271. Round i to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.803 - -10.803. Which is the third smallest value? (a) 13 (b) x (c) -5 (d) 123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19558809*u**3 - 3*u**2 - 150835814*u wrt u?\nAnswer: -117352854*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2648 - -2821. Calculate the remainder when m is divided by 42.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 3:51 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 403557 and 462.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 4 = 4*a. Let l be (-4 + a)*20\/(-8). Let g(d) = d**2 + 2*d - 2. Is g(l) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5737727 is divided by 9437?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + (-2 + 1*(-1 + sqrt(175) - sqrt(175)))**2*2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -2\/3, 3\/8, 55476.54?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + (-56)\/5)*(-50)\/10. Let p(u) = 64 - 104*u + 52*u + c*u. Does 19 divide p(23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-5) - (-13)\/(-65)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(64\/76) + 6\/(-16). Solve -n*u + 4 = -4*z + 14, -z + 6 = 3*u for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -39. Factor -70*t - 192 + 88*t + 30*t - f*t**2.\nAnswer: -3*(t - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5107198 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*u + 474*u - 239*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 7*y - 3*t, -2*y - 38*t - 32 = -34*t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 - u**3 + 2*u**3)*(-5 - 7 + 1) + u**3 - 2*u**3 + 2*u**3 + (2*u**2 + u**2 - 4*u**2)*(5 - u - 5).\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/14)\/(375\/(-150))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3678 is divided by 395?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064015 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10, -17\/7, 0.2 in decreasing order.\nAnswer: 0.2, 0, -17\/7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*q - 161 + 161 - 2*q + 0*q + q + (-q - 5*q + 4*q)*(-1 - 1 + 1) in the form v + y*q and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 498 at least as big as 493?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + 11 + 7 + (-3 - 29)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or 2\/5824645?\nAnswer: 2\/5824645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-three sixths of a week?\nAnswer: 38640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t + 4. Let z be a(-9). What is the remainder when (z\/6)\/((-3)\/(-9)) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -8, 1\/3, -19, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 6*i - 11 + 10)*(-4 + 1 + 2) + i + 2*i + 0*i.\nAnswer: 12*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33104 divided by 160.\nAnswer: -2069\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 65.90809 weeks?\nAnswer: 39861212832000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(4 - (-19)\/(-4)). Calculate the greatest common divisor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -148 - 327?\nAnswer: -471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**3 - 5*o - 43 - 328*o**2 + 50 + 327*o**2 - 2*o**4 in the form l*o**3 + r + m*o**4 + y*o + i*o**2 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 14*b**2 + 2*b + 4. Let u be w(-14). Let n = -44 - u. Let x be (44\/n)\/((-8)\/(-10)). Which is bigger: x or -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**2 + 266*r - 4887. Give o(-80).\nAnswer: -567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 168*i - 183*i - 15 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/((-10)\/(-52)) + -1. Let d = -9 + q. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**7\/210 - 7*o**6\/120 + o**5\/4 - 13*o**4\/24 + 2*o**3\/3 + 72*o**2. Suppose n(h) = 0. What is h?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -322 - -89. What is a rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 9:32 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, a: 1, u: 1, v: 2}. What is prob of picking 1 a and 1 m?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from egeenvl. What is prob of picking 1 e, 1 v, 1 n, and 1 g?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 7 = j - 2*j, 0 = w - 3*j + 10. Let v = -8.84 + 44.14. Let o = v + -33.3. Which is the third smallest value? (a) -4 (b) o (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3410703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-21) + 40\/7. Let a = 0 + b. What is the smallest common multiple of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*s**4 + 6*s**4 - 3*s**4 + (3*s**3 + 5 - 5)*(-43*s - 9*s + 5*s)*(-1 - 1 + 3).\nAnswer: -131*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s - 1. Suppose -2*a + 4 = 22. Let t = -10 - a. Determine f(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.1, 0.4, -2 in increasing order.\nAnswer: -2, -1\/3, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, y: 2, w: 1}. What is prob of sequence waay?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, 6\/5, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/12 + 22\/4. Let r(o) = 2*o**2 - 8*o + 10. Let q be r(2). Suppose q*a + 3*b - 12 = a, -2*a + 2 = -5*b. Is x less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/62 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/8 or -402078?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232*u - 350 = 56722. Calculate the remainder when 6639 is divided by u.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386153163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.951375ml to litres.\nAnswer: 0.009951375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -6*g**2\/11 - 1798425408*g\/11 - 134763914505831936\/11 = 0.\nAnswer: -149868784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**5\/(s\/(s**(3\/5)\/s)*s))**(-20))**(-33) assuming s is positive.\nAnswer: s**1716","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 160 = -113. What is the remainder when 149 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*d + 36*d - 224*d - 22*d.\nAnswer: -137*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + -1 + (-1 + 86 - 70)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 9fa34?\nAnswer: 9fa34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 3:32 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -61, -0.2, -2\/3, 2, 5, -0.031?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 20.999935. What is q rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2*-2 - (-2 - -3). Let f = 7 + -4. Solve p = -2*a + f*a + 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l - 1. Let f be g(1). Solve 2*v + f*v = -20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17917 is divided by 512.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271*b = -265*b - 168. What is the lowest common multiple of 16 and b?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 1:12 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 3*o - 55 + 150 + 6*o - 188 - 66.\nAnswer: 3*o - 170","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p + 84 = -s + 85, -p + 4*s = 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 6*d + d)*(31*d**3 - 102*d**2 + 102*d**2) + (3 - 3 + 2*d)*(d**3 - d**3 - 2*d**3).\nAnswer: -128*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7590 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rfrraoaasaod. Give prob of sequence arr.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 26*b + 25*b - 21 = 0, -2*s + b = -9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 414263*b**2 + 5 + 414260*b**2.\nAnswer: -3*b**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 25\/2 of a gram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 (base 3) in base 8?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 3.35\nAnswer: -1.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eighteen fifths of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/11)\/t)\/(t\/(t*t\/(t*t*t*t\/(t*t\/t**(2\/5)*t))))*t**(-5\/6)\/(t\/t**(-5\/7)) assuming t is positive.\nAnswer: t**(-6389\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -1 - (-6 + -3)) + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1335*-2.\nAnswer: -0.267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7380073 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221154 is divided by 238.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3664979 - g**2 + 1832494 + 1832467.\nAnswer: -g**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - 117001?\nAnswer: -116770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 4 (b) -7 (c) -2\/11 (d) -339\/5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12162000 rounded to the nearest 100000?\nAnswer: -12200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8808629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22830489 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: Simplify (l**(2\/5)\/l**(-1\/4))\/((l**(-2\/5)\/l)\/l)**(-6\/5)*(l*l*l**(-2\/3))**(27\/4)\/((l*l\/(l*l**(-2\/9)))\/l**(-1\/4)) assuming l is positive.\nAnswer: l**(1192\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4063*o = -4059*o - z - 35, 4*o - 33*z = 3 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -13, -4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -644.4*4.\nAnswer: -2577.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 + -9. Let v = -10 - 38. Let g = v - t. Which is smaller: g or 2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 9 = 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3\/7 + 3480*x**2 - 13932*x - 121880\/7.\nAnswer: 4*(x - 5)*(x + 1)*(x + 6094)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/17, 2\/9, 1, 5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-two fifths of a kilogram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-37)*p*p*p))\/(p**(4\/7)\/p) assuming p is positive.\nAnswer: p**(241\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 1. Let p be l(6). Suppose -p*h = -4*v + 3*v + 98, v + 82 = -4*h. Let i = 38 + h. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 550 = 8*y - 250. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 3:53 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*h + 14, -5 = -h + 2*h + 3*g. Let r(t) = -2*t - 18. Let s be r(h). Solve 0 = f + f - k, -k - s = 2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 76*d - 282. Give v(72).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 14*i**2 - 3*i. Give x(-14).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104221, -104206, -104181, -104140, -104077, -103986?\nAnswer: -103861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, m: 4, h: 3, q: 4}. Give prob of picking 1 m, 1 q, and 1 h.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3049 + 6097\/2. Put -1\/14, 6, o, -1\/8 in increasing order.\nAnswer: o, -1\/8, -1\/14, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**6*z**0*(z\/(z*(z*z\/z**3)\/z*z)*z)\/z**0)\/(((z**(-2)\/z)\/((z*z\/((z*z**4*z)\/z)*z)\/z))\/(z\/(z*(z*z*z**6\/z)\/z*z)*z**4*z)) assuming z is positive.\nAnswer: z**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 12397.7.\nAnswer: 12398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/(-44) + (-37)\/((-2146)\/87)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 32 = -4*f. Let g = 7 - 3. Suppose g*o - 19 = 301. Calculate the greatest common divisor of f and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 287 - 18*v**4 - 196*v**2 + 4*v + 196*v**2 wrt v.\nAnswer: -72*v**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((l + 2 - 2)*(-3 + 0 + 1) + 2*l + 6*l - 4*l)*(l**2 + 2*l**2 - 4*l**2)*(1 + 2 - 1) to the form c*l + u*l**3 + z*l**2 + m and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 392890, 392886, 392868, 392830, 392766, 392670, 392536?\nAnswer: 392358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -80403, -160764, -241125, -321486?\n\"Answer: -80361*d - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -u**5\/60 - u**4\/24 - 25*u**2. Let q(l) = 28*l**2 + 24*l. Give -24*o(z) - q(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*v - 910 - 1322. What is the remainder when (-8 + 133\/14)*(161 - 1) is divided by v?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/12386 and -79\/198.\nAnswer: 111474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -372*l - 376*l + 781*l.\nAnswer: 33*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13093*p**2 + 13731*p**2 + 16*p - 15*p + 2.\nAnswer: 638*p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/2)\/(((-1666)\/49)\/(-136)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2016850 and 3553.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -90837 divided by 3\nAnswer: -30279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -97, -454, -1045, -1864, -2905, -4162?\n\"Answer: i**3 - 123*i**2 + 5*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 885 + (1 - 1)\/1. Suppose -t = -c - 1331. Let v = t + -249. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 99 + -97. Solve 3 + 3 = r*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -7*f**3 + 6*f**2 + 6*f - 1. Let b(r) = -r**3 + r**2 + r. Let u(y) = y**2 - 7*y + 5. Let d = -16 - -22. Let v be u(d). Give v*g(t) + 6*b(t).\nAnswer: t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + -7 - 11580\/(-1420). Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.4, 0.1, 0.046?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -5*b**4\/4 + 4*b**3\/3 - 4*b - 151. Let h(a) = -14*a**3 + 11*a**2 - 11. Give -11*d(j) + 4*h(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**2 - 884*f - 880 = 0. What is f?\nAnswer: -220, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {d: 2, z: 1, a: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*w = 4 - 1, -4*w - 36 = -4*a. Let j = a - 6. Let g(t) = -t**3 - t**2 + 2. Give g(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74\/9 or -8?\nAnswer: -74\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.1835602 to 3 decimal places.\nAnswer: -3.184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 3:47 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441*m - 6459 = 3102 + 5874 for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 658774.3 nanometers in centimeters?\nAnswer: 0.06587743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 115*q**2 + 12*q + 231. Let f(l) = -804*l**2 - 80*l - 1616. Let c(g) = 3*f(g) + 20*p(g). Differentiate c(n) wrt n.\nAnswer: -224*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -491, -493, -495?\n\"Answer: -2*g - 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6, -0.3, -222, 2\/3, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.369 - -7.869. Which is the second smallest value? (a) -1 (b) g (c) 2 (d) 0.027\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-2) - -4*(-6)\/(-8). Suppose k = -8*g - 2*g + 220. Is g greater than or equal to 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26469.3 millilitres in litres?\nAnswer: 26.4693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 63 = 9*c - 7*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0. Let s = -16\/7 - -18\/7. Which is the nearest to h? (a) s (b) 5\/3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 390 and 813490?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(32)\/(sqrt(2)*-3) - sqrt(16) - sqrt(16))*-2)\/(((sqrt(88) - (sqrt(88) + -3*(sqrt(88) + sqrt(88)*-1 + sqrt(88)))) + sqrt(88))\/sqrt(11)).\nAnswer: -7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/(35\/28)*80\/(-12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 5 (b) -4\/9 (c) 2\/11 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*(1 + 1 + sqrt(700) + sqrt(700) + 2 - (((sqrt(700) + 0)*-6 - sqrt(700)) + -4 + sqrt(700) + -1 + sqrt(700)))**2*6.\nAnswer: 37800*sqrt(7) + 1031426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.38 and -6\/314611 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-273*b - 15304 - 109*b + 15304)*(6 - 2 + 0)*(-2 + 1 - 2).\nAnswer: 4584*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1355899 is divided by 677878.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -106984*s**2. Let h(n) = -326*n**2. Determine w(h(g)).\nAnswer: -11369831584*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -542, -2164, -4868, -8666, -13570?\n\"Answer: -2*n**3 - 529*n**2 - 21*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9, s: 5}. Give prob of picking 3 y and 1 s.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1591199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 189 - 151 = -0*z - 3*z for z.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-17 - -10 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 11714392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 5803?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51.694 - 0.194. Let q = m + -83. Let u = q + 32. What is the closest to 1 in u, -0.3, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14820 + -14766.637. Let q = k + 9.844. Let c = q + -62.9. Round c to two dps.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 + 44. Let o(t) = 4*t - 3. Let j be o(2). Suppose -4*y + 6*y = -5*c - 15, 2*y + j = -3*c. Calculate the highest common factor of y and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 12\/11*s**3 + 24\/11*s**2 + 2\/11*s**4 - 16\/11*s.\nAnswer: 2*s*(s - 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 169*o - 173*o - 25, 0 = -2*o + 2*f - 12 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*r - 9772026 = 135*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 1023*u. Let o(s) = -2*s + 555. Calculate i(o(q)).\nAnswer: -2046*q + 567765","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 2\/5, -17\/9, 1\/247?\nAnswer: 1\/247","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 2659872.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3179677?\nAnswer: 439, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d**2. Let w(l) = -163*l - 14. Calculate w(m(h)).\nAnswer: 489*h**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(729\/30))\/((-6086)\/9129)\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 1\/3*r**3 + 0*r**2 - 5 + 0*r. Let g(v) be the third derivative of v**5\/12 - v**2. Calculate g(l(m)).\nAnswer: 5*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.060067 weeks to days.\nAnswer: 42.420469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -16*n**2 + 32*n + 75. Let w(a) = 8*a**2 - 15*a - 37. Let j(t) = 2*i(t) + 5*w(t). Is 57 a factor of j(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(5*n**2 - 4*n**2 - 3*n**2) + 1 - 1 + 2*n**2 - 60*n**2 - 157*n**2 - 42*n**2.\nAnswer: -255*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 196540 to the power of 1\/2, to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y**2. Let v(q) be the third derivative of -q**5\/15 + 3*q**2. Give f(v(k)).\nAnswer: 64*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 15*i. Let h(j) = 31*j + 4958. Calculate p(h(q)).\nAnswer: 465*q + 74370","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 290.945 rounded to the nearest 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 210533317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36 - (-28 - -6)) + 8 - 54.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88)*-2 - sqrt(88))*-2 + sqrt(88) + 1*sqrt(88)*-2)*-6)\/(sqrt(512)*-2 + sqrt(512) - -5*(sqrt(128) - sqrt(8))).\nAnswer: -30*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155, 1020, 2465, 4490, 7095, 10280?\nAnswer: 14045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*l + 5*q - 18, l + 2*q - 6 = 0. Find the second derivative of 0*t - t - 3*t**2 - 4*t**5 + 3*t**l wrt t.\nAnswer: -80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 183 - 55. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 77.\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*v - 5, -7*v - u - 5 = -12*v. Let r(i) = 0*i + 0*i + 2*i + v*i - i + 1 - 9*i**3. Give r(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = x + 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**3 + 5*u**3 + u**3)*(-3*u - 6*u + 2*u).\nAnswer: -7*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2995 divided by -1224.\nAnswer: 2995\/1224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 27. Suppose -2*j = 2*m - l, 3*j = 5*m + 4*j - 15. Suppose 3*q = 3*o + 495, 0 = -0*o - m*o - 12. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 112, 222, 356, 502, 648, 782, 892?\nAnswer: 966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7824347?\nAnswer: 23, 109, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51002558?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -154 + 277. Suppose -t = -4*z - 39. Suppose 5*g - 4 = 11. Solve 2*u = -g*u - l + z, 0 = u - 3*l - 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mx when two letters picked without replacement from wwjrwmwjwrxcj?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53 by -5.\nAnswer: -53\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*t + 61*t - 33*t + 110 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -174525811*k**4 + 614*k**2 + 45936*k wrt k?\nAnswer: -4188619464*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*v = -7*v - 336 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = -2828 + 2828. Suppose 0 = -l + 4 - 1. Solve -5\/2*w**2 + 5\/2*w**4 + w**l + j - w = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5030080 to the nearest one hundred thousand.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 - 5*b - 88. Let n be a(8). Suppose -p - 5*z + 574 = -107, 4*z + 8 = n. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a micrometer in nanometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1998\/(-135)*(((-275)\/22 - -11) + -1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 114092?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4 = -0. Let b(n) = -7*n + 7 + w + 5 - 4. Let l(r) = 31*r - 75. Let d(o) = 10*o - 26. Let g(x) = 8*d(x) - 3*l(x). What is 11*b(t) - 6*g(t)?\nAnswer: t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12, 16, 18, 18, 16, 12, 6?\n\"Answer: -h**2 + 7*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*h + 139*h = -6*d + 66*h - 78, -3*d + 4*h = -4*h - 21 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46373670449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 4 - 26 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 + 1 - 6)*5. Suppose -2*o + 4*o = c*h - 23580, 2*h - 4*o = 9448. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 233, 472, 687, 866, 997?\nAnswer: 1068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 510 - 509. Let v(b) = -136*b**2 + 2*b + b**3 - b**3 + 135*b**2 + 4*b**3 - l. Let y be 8\/6 - 3\/9. Calculate v(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145027476.\nAnswer: 2, 3, 11, 17, 43, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26a2a + -2?\nAnswer: -26a31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 513 and 49362.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**2\/5 + 66480*a = 0.\nAnswer: 0, 332400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -88007\/14 - -6283. Calculate the common denominator of f and (3\/(-8))\/(6\/(-380)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 + -72.0000027. Round s to 7 dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d1e33b + 0?\nAnswer: 1d1e33b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*d + 30*d = 1788. Let u be (d\/(-2))\/(18\/144). Is 28 a factor of u\/(-16) + 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/61? (a) -3 (b) -2\/7 (c) 0.3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*a**2*j**2 - 2*a*j**2 + a*j - 15*j**2 wrt a.\nAnswer: -14*a*j**2 - 2*j**2 + j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5268906?\nAnswer: 2, 3, 292717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 650 (base 11) to base 16.\nAnswer: 30d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27850572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8463 and 37847901?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -8*c + c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 64 = 2*v, 4*d + 0*d = 8. Suppose -v = -7*t + 6. Solve 2*k = f + 3, 0*k + t = -3*k - 2*f for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7042627, -7042622, -7042615, -7042606?\n\"Answer: h**2 + 2*h - 7042630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 706 and -3?\nAnswer: -2118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-155)\/1705*693\/15.\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2057 - 0.235?\nAnswer: -2057.235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 9*o**2 + 9*o + 1. Determine d(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - -3)\/((-3)\/6). Suppose -7 - 33 = -g*b. Suppose o + 5*j = 4 + b, 5*o - 2*j = 66. Calculate the remainder when o is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 22. Let g = 250 + -150. Let r be ((-224)\/40)\/(l\/g). What is r rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 906.6814 grams to nanograms.\nAnswer: 906681400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 694514 is divided by 1450?\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -14*l**3 - 2*l**2 + l + 2. Let j be m(-1). Solve 5*h + 12 = -j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 7*u**4\/20 - 6*u**3\/5 + u**2\/2 + 6*u\/5 + 282. Determine n so that d(n) = 0.\nAnswer: -3\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3499360273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q - 77 = -4*p + 20*q, -4*p = 5*q - 83. Sort 0, p, -19.\nAnswer: -19, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 + 0*o**2 - 3*o**2)*(-2*o + 2*o - o) - 3*o**3 + o**3 + 4*o**3 - 10*o**3 + 13*o**3 + 6*o**3.\nAnswer: 10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*b - 26 = -t, -4*b + 35 = 5*t. Solve 4*w + 4*x - 16 = -0*x, 0 = 3*w + 4*x - t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*q + 49*q - 3*x = -20, 12 = 3*q - 3*x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6.4592036 times 0.4\nAnswer: 2.58368144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30798226?\nAnswer: 2, 331, 46523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = n + n - 1, 4*n + 5 = -3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6177 is divided by 689.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 5*v - 3. Let r be g(4). Solve r + 1 = 2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69150 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 66 = 36. Let c(d) = d - 8. Let o be c(m). Sort -6, o, -1 in increasing order.\nAnswer: -6, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 853 is divided by (-3 - 4) + -11 + -4*1199\/(-22).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 31 in descending order.\nAnswer: 31, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 170864 = -5*i, -s = -2*i + 46103 + 22236. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 300 and 829992?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/5 (b) 2 (c) 0.5 (d) -3 (e) 20088640\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30626634721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30228984*a - 1193960 with respect to a.\nAnswer: -30228984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14110 (base 5) to base 16.\nAnswer: -483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 210 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*q + 164738 = -311332. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*y = -29*y. Suppose -57*q + 56*q + 9 = y. Let m = q - 8. Solve -m = -d - 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 2*t - 18. Calculate c(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-12)\/16*4. Sort w, -5, -59.\nAnswer: -59, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1071861287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 8:29 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -g + 4*a, 0*g + 3*g - 2*a = -1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 26324*f.\nAnswer: 2*f*(f + 13162)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(78) - (sqrt(78) + sqrt(78)*2*6 + sqrt(78)))\/sqrt(6).\nAnswer: -78*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*l - 2309489 = l - 56*l. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -16 (b) 3 (c) -1.283\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -564366.3 take away -88.77?\nAnswer: -564277.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*k - 14. Let y be (-6)\/8 + (-46)\/k. Solve -r + 4 = y*j, -7 = 4*r - 2*j - j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, 210688 in decreasing order.\nAnswer: 210688, 8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19900 divided by -199?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2034 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2ad56 + -c12?\nAnswer: 2a144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 5*h**2 + 2*h - 20. Let l be k(4). Suppose 2*f = -5*v - 4, 5*f - 7 = l*f + 2*v. Solve -3*p + f = -2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 41*r**2 + 3*r + 11. Let t = -13 + 12. Let n(d) = d**2 + d + 2. Let g(v) = t*m(v) + 5*n(v). Find the second derivative of g(k) wrt k.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 7 + -11 + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6*(-13)\/624 - 20382\/(-16).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 496578631 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 10564556.1 hours?\nAnswer: 62884.2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 9:21 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 7:47 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 65927024 to the nearest 100000.\nAnswer: 65900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 509636769 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 36*g**2 - 6224 + 2*g**4 + 6224 + 30*g**3 - 216*g + g**4 = 0.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -3, -0.1, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-116)\/((-11368)\/(-2058))*(1\/(-3))\/(1\/(-1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 6. Suppose -2 = -h + w*u, 0*u = 4*h + 5*u - 8. Let o be (-1)\/h + 1000005\/10. What is o rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 15*o**2 - 32*o - 55. Calculate v(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 53, 92, 157, 254?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/18)\/((-135)\/108)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 - 81 = 5*i. Suppose 4*c - 16 = 2*c - n, i = -4*c + 3*n + 12. What is the remainder when 173 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y**3\/2 + 494*y**2\/3 - 22*y\/3 = 0. Calculate y.\nAnswer: -22, 0, 2\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 9*j**2 + 8*j + 9. Let z(c) = -3*c**3 - 27*c**2 + 25*c + 28. Let q(x) = 8*v(x) - 3*z(x). Calculate q(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 45 = 8*g. Let o be (7 - g) + 0 + 3. Factor 48*r**5 + 13*r**3 - 36*r**o + 7*r**3 - 4*r**2 - 28*r**4.\nAnswer: 4*r**2*(r - 1)**2*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1247?\nAnswer: 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.554 - 5.53. What is s rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132 (base 4) to base 15\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -44) + -10 + 45 + (10 - (-1 + 0))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -110, 207, 1\/4, -11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4e9 (base 16) to base 11\nAnswer: a43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31\/7 + 5. What is the closest to -3 in q, -3, 8\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 295028?\nAnswer: -295027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6*p. Let r(z) = z. Suppose 5*u + 280 = 300. Let k(a) = -a**3 + 2*a**2 + 6*a + 7. Let m be k(u). Give m*i(y) + 4*r(y).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -23. Let x = 0.2 + b. Let r = -41 + 38. What is the third biggest value in x, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5400 and 63100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 - d**2 - d**2)*(-84 + 173 - 90 + 66*d).\nAnswer: 66*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 685054 and 16?\nAnswer: 685038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10, 22, 112, 290, 586, 1030, 1652?\n\"Answer: 5*l**3 - l**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z. Let a(f) be the first derivative of -11*f**5\/60 - 3*f**2 + 4. Let g(b) be the second derivative of a(b). What is g(j(p))?\nAnswer: -44*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5}. What is prob of sequence nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 11182170.\nAnswer: -1\/1118217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 1, 4\/10225?\nAnswer: 4\/10225","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 0.5, -727, -51.61 in descending order.\nAnswer: 0.5, -2\/11, -51.61, -727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t**(-1)\/t*t*t))**20\/(t\/(t\/(t**(1\/4)\/t)))**(-4\/7)*(t**(-5\/2)*t*t**0)\/((t*t*t**1)\/((t**(-2\/5)\/t)\/t)) assuming t is positive.\nAnswer: t**(2287\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -41. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -150 + 291\/2. Let p(b) = 4*b + 60*b**2 - 27*b**2 - 32*b**2 - 1. Let j be p(-3). Are t and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 2. Let r be (2\/(-4))\/(1\/(-6)). Suppose -119*c + 674*c = -1110. Let v(k) = -k**2 + 2. Give c*d(y) + r*v(y).\nAnswer: -y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/5)*w*w**(-5\/6)*w assuming w is positive.\nAnswer: w**(17\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 30 (b) -1 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.3 - 6. What is the second smallest value in r, 0.05, -2\/15?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 616652 (base 7) to base 2.\nAnswer: 11001110010100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 60038053845972\nAnswer: 60038053845967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9.610226 grams?\nAnswer: 0.000009610226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93952245?\nAnswer: 3, 5, 19, 329657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 3*y. Suppose y*h = 2*h - 4. Differentiate 9*j - h + 7*j - 11*j with respect to j.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f + 25. Determine k(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1617451, -3234912, -4852373, -6469834, -8087295, -9704756?\n\"Answer: -1617461*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-6\/7)))**19)**(6\/13) assuming b is positive.\nAnswer: b**(-684\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001279 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times 73931\nAnswer: -1478.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (0 + -4 - -6 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by 56971?\nAnswer: 33\/56971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18552 + -18580.9946. Let s = 29 + z. Round s to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -221\/114 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 0)*(-11 - -1). Let l = j + 19. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1276969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 169 - 49. Let m = d - 120.000275. What is m rounded to five dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 13*p + 107. Let q = 838 + -842. What is the remainder when 84 is divided by y(q)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -171239147*j**5 + 75557631*j**2 wrt j.\nAnswer: -10274348820*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5 - (5 - (-6 - -13)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 52 = -3*b + 7, 2*b - 3*i = 28. Suppose 7 = 2*s - u, s - 2*s + 5*u = -b. Let y(w) = w**3 - 2*w + 1. Let m be y(s). Solve -m*k - 3 = -23 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*-1)**2*2*4.\nAnswer: 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(539) - (sqrt(539) + -1)*-5)*5)**2 + ((5 + sqrt(539)*-2)*4)**2)*4.\nAnswer: -50960*sqrt(11) + 2082484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*j + 105786 = 1419750. List the prime factors of j.\nAnswer: 3, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*h**2 + 7*h**2 + 9*h**2)*(h - h - 2*h)*(3 + 2 - 3)*(5*h + 6 - 6) + (h**4 - 2 + 2)*(-5 + 4 - 1).\nAnswer: -62*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6684165.\nAnswer: 3, 5, 148537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1214443395 rounded to the nearest one million?\nAnswer: -1214000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*sqrt(28) - sqrt(28)) + -5.\nAnswer: -6 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -828 + 670. Sort -2, y, -1\/10 in descending order.\nAnswer: -1\/10, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -83 + 2 + (-49 - -92)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2 + 1*(4 + -1*(2*sqrt(1008) + sqrt(1008))) + -3)**2 + 2).\nAnswer: -27249 + 648*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77167, 308443, 693901, 1233541?\nAnswer: 1927363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*w + w**2 + 311*w**3 - 230*w**3 - 141*w**3 to q + b*w**2 + v*w**3 + n*w and give v.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 835412953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 283544308 and -22.578.\nAnswer: 283544285.422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-12) + (-269)\/(-2). Let g be 8 - 1 - (0 + 5) - -132. Which is smaller: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*h - 2 + 32, 5*h + 4*f = 5. Let p be -2 - (8*3 + 4). Let s be 18\/h + (-12)\/p. Solve -3*d = -s*d + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 1672 + 248 = 0. What is the greatest common divisor of 40 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 86494, 172877, 259262, 345649, 432038, 518429?\n\"Answer: l**2 + 86380*l + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 2*p + 12. Let l(t) = 38890*t**3 + 7*t**2 + 2*t. Let k be l(p). What is k rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 + 0?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from tgttggtggttttt?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 10*t**2. Suppose 5*z + 2*z = 637. Let q = z - 81. Let m(l) = 20*l - q*l - 6*l. Calculate m(o(a)).\nAnswer: 40*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 8, -20, -4, 46, 0 in increasing order.\nAnswer: -26, -20, -4, 0, 8, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 1, -2\/11, -2\/343 in increasing order.\nAnswer: -2\/11, -2\/343, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 732?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 - 39*l - 92 + 39*l + 2*l**2 to the form n*l + w + c*l**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-240)\/(-42) + 2\/7. Suppose a*i = i. Suppose 3*f = w - 2*w + 27, i = 3*w - 5*f - 25. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108\/189 + -5 + -25 + 26 + (-543)\/7\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**3 + 795*i**2 - 173430*i = 0. Calculate i.\nAnswer: -282, 0, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**6\/120 + 2*i**5\/15 - 17*i**4\/24 + 5*i**3\/3 + 163*i**2. Factor x(a).\nAnswer: -(a - 5)*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -2*q + 4, 87838*q = -4*v + 87839*q + 19 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 15. Let q be -2*3*d*2\/3. Suppose -q*i - 4*n + 16 = -12, 0 = -4*n + 16. Solve -2*o = o + 12, -v = i*o + 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12 and -29129227?\nAnswer: 29129239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/30)\/((-976)\/(-200) - 5). Which is smaller: r or -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2109 times -18?\nAnswer: 37962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -23, 0, 1 in descending order.\nAnswer: 1, 0, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.284 - -0.064. Let y = -41.78 - -46. Let g = y + h. Which is the third smallest value? (a) g (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w**2 - 963*w + 24333. Determine b(30).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 3*f**2 - 4*f. Let d be g(-4). Let q = -112 + 120. List the prime factors of 2 + d + (q - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/108*-6)\/((-2)\/12). Suppose 2*t = 3*r + 4, -t + 0 = 1. Let v be (-6 - (0 + -1))*-1. Sort v, r, a.\nAnswer: r, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170333, -170342, -170355, -170372, -170393, -170418?\nAnswer: -170447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/10 + ((-4260)\/(-25))\/1. Is t at least 170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 90*y + 9. What is r(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/816 and -21\/8296?\nAnswer: 49776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -40, 2\/5, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*d - 86*d**2 + 81*d - 173*d - 24*d**2.\nAnswer: -110*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**2 + 44*l + 9. Let a be -1*(-2 - 2 - -15). Let u be p(a). Solve 0*y = 4*y - d - u, -3*y + 1 = 5*d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(2) + sqrt(8) + sqrt(2) + 5 - sqrt(2)) + ((-2 + sqrt(32))**2 - sqrt(32)) - (sqrt(6)\/(sqrt(12) + sqrt(3)) + -5*sqrt(2) + 5).\nAnswer: -34*sqrt(2)\/3 + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -996 divided by -249\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-1\/10)*r\/r**25*r**16\/r**(1\/36) assuming r is positive.\nAnswer: r**(-1283\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 0.3 (c) 42 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 1288*m**2 - 18*m - 10. Let w be v(1). Calculate the greatest common divisor of w and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43445788 + 18.7.\nAnswer: -43445769.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 760, 752, 734, 700, 644, 560, 442, 284?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29721, -118914, -267553, -475626, -743121?\n\"Answer: 2*z**3 - 29735*z**2 - 2*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(2\/13))**(-2\/19)*((p\/p**(-7))\/p)\/p**(5\/4) assuming p is positive.\nAnswer: p**(5593\/988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/84*(-152)\/(-19)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 2:49 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r + 18*r + 33*r + 66*r.\nAnswer: 111*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/3 - 80*u\/3 + 82\/3.\nAnswer: -2*(u - 1)*(u + 41)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-60)\/(-50))\/((-138)\/(-6095)))\/1.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 5, 1, -3, 326, 52 in descending order.\nAnswer: 326, 52, 5, 3, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17172.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 213*q - 215*q + 896. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 187005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/100)\/((103\/(-2575))\/(9\/30)).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v**(-4\/7)*v*v*v))**(5\/3)*(v*v\/(v\/(v\/(v**(-1\/3)\/v))))\/v**(-13) assuming v is positive.\nAnswer: v**(328\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (1 + -1))*((-10785712)\/448)\/(-1219).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*k + 172 = 52, 0 = 4*m + 5*k + 80. Suppose -9*t - 4*o - 5 = -10*t, 0 = -3*t + 4*o - 1. Let z = t - m. Is 22 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = o. Let p be (-27)\/4 - 21\/84. Let l be ((-6)\/p)\/((-12)\/(-84)). Solve o*s - 10 = -2*s, -2*s + l = -q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81 + -77. Let l be (-37 - -1)\/r*3. Let s = l + 676\/25. Are -1 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**4\/4 + 10*o**2. Let d(i) = 14*i + 21*i - 47*i + 16*i. Give l(d(h)).\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcvvvcfcqfv. Give prob of sequence cc.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1))**4)**27 assuming t is positive.\nAnswer: t**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -v - 15, -2*f = 3*v + 3 + 2. Let z(j) = 0 + 3*j + 2 + j**2 + 2. Let l be z(f). Calculate the greatest common divisor of l and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6298 - 442. List the prime factors of y.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -10*z - 5. Let m(x) = 5*x + 2. Let r(n) = 2*g(n) + 5*m(n). Let t(u) = 45 - 21 - u**2 - 24. What is t(r(p))?\nAnswer: -25*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3*g - 14 = -27, -y = -6*g + 22 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 5*v - 990. What is the remainder when x(30) is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347947226 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36 or -89701?\nAnswer: -89701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -734, 5, -5, 1359 in increasing order.\nAnswer: -734, -5, 5, 1359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (257*m**2 + 5616 - 5616)*(0*m + 6*m - 2*m)*(4*m + 2*m - m) in the form u*m**2 + v*m**3 + o*m**4 + h + p*m and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 0)*2 + 2. Suppose -2*k + 4 = 0, -32 = -s*r + 4*k + 40. Let c = -17 + r. Solve -c*w - 10 = -1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a milligram in micrograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -23044 (base 7) to base 14\nAnswer: -21cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -30, -112, 2, 3 in decreasing order.\nAnswer: 3, 2, -7, -30, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8026 is divided by 497?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1080 + -2161\/2. Let z = -29 - -28. What is the closest to 1 in i, -5, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 + 6*l + 4. Is s(10) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**3\/5 - 3888*j**2\/5 - 88366*j\/5 = 0 for j.\nAnswer: -1921, -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1)\/w*w)**(3\/2)*w**(-2)*w*(w**(2\/7)*w*w)\/w)**25 assuming w is positive.\nAnswer: w**(-425\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94142 is divided by 507?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/9 (b) -49.3 (c) 4 (d) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 14*m + 16*m + 5 = 0, 0 = 3*l + 4*m - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -4) + 97 + -131 - (0 - (-2 + 5))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004306 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 4. Let n be p(4). Suppose n = 7*f - f - 12. What is the least common multiple of 22 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06 + 0.14. Let o = 0.1 - 0.1. Which is the nearest to 1? (a) o (b) z (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 4*a**2 - 6*a + 3. Let b be q(2). Let p be (-5 - (-5 + b))*-3. What is the units digit of (-2)\/p*5976\/48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2. Let i(j) = -14668022*j. Calculate i(y(w)).\nAnswer: -29336044*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**5\/20 + b**4\/6 + b**3\/2 + 2*b**2 + 32*b. Determine f(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 14 - 59*s + 58*s)*(-4 + 5 + 8).\nAnswer: -9*s + 378","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*8\/12)\/((-78)\/(-3))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2178046 = -2*f - 9018046. What is f rounded to the nearest one hundred thousand?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1532, -1765, -1998, -2231, -2464?\n\"Answer: -233*x - 1299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x + 453782 + 2*x - 453782.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by ((-3)\/9 - -1)*27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6516037 is divided by 3526?\nAnswer: 3515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 36*z**2 + 106*z - 391. Determine y(-39).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5531.7335489 less than -45.9?\nAnswer: 5485.8335489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17786.4 and -2978706.\nAnswer: -2960919.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 609, 1204, 1799, 2394?\nAnswer: 2989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184452183?\nAnswer: 3, 739, 27733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 0.2.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c - 1. Let z be u(-1). Let m(f) = f**2 + 6*f - 7. Let w be m(z). Suppose 6*k - 13 = 5. Sort k, w, -1 in ascending order.\nAnswer: w, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/4 and -1\/30440?\nAnswer: 30440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/2 - 2\/4. Let v(y) = 0 - 2 - y + 9 - 2. Let i be v(x). What is the closest to -0.1 in -0.3, 5, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - 16\/(-2) - 2. Let -2\/15*f**k - 4\/5*f - 6\/5 = 0. What is f?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 5*x + 5, -5*n - 2*x = -17 - 13. Let y = 486 - n. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -11*z - 48. Let k be o(41). Which is smaller: -500 or k?\nAnswer: -500","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 3*n = 18, 3*n - 6 = 2*q - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(5\/6)*b)\/b*b*b**(1\/2))**(2\/7) assuming b is positive.\nAnswer: b**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 146 + -77. Let h = 66 - q. Which is smaller: h or 10?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772 is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - r**2 - r + 4. Suppose -2*g - 4 = -0, -g + 2 = -k. Does 14 divide a(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1523*b**2 + 506*b**2 + 506*b**2 + 512*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 14*c**2 + c - 6. Let s be -1 + 4 + (-28 - -3). Let k = -9 - s. What is the remainder when k is divided by z(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 2 + -3 + 286. Let y = -66 + q. Suppose 5*g + 77 - y = 0. What is the greatest common divisor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25981235 a multiple of 500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2666.33 - -234.93. Let z = -2333.81 - b. Let a = -97 + z. Round a to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 270 - 200. Is 25 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*i**3\/7 + 9*i**2 + 9*i\/7 - 15\/7 = 0. What is i?\nAnswer: -1, 5\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 229349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n + 13. Let d(o) = 7*o - 27. Let t(w) = 2*d(w) + 5*g(w). Let x be t(2). Which is the second biggest value? (a) 0.4 (b) -2\/11 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*h = 68, -4*g + 0*h = -4*h + 116. Is 2\/3 - 4568\/g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 120780\/315 - ((-12)\/(-7))\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 749 - 74 = -380. Suppose -5*k + 3*l + 65 = 0, -3*l = k - 4*l - 15. Suppose -b = -k*z - 991. Is z >= -78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15256 (base 12) to base 3\nAnswer: 1111210010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 0 + (-3 + 1 + 3)*(0 + 1 - 8))*(-5*p - 2*p - 2*p).\nAnswer: 36*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 144a194?\nAnswer: -144a198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**2\/5 - 6147*p + 17333862\/5 = 0?\nAnswer: 599, 9646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/7 - 62*u**2\/7 - 592*u\/7 - 1248\/7.\nAnswer: 2*(u - 39)*(u + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 + 5)*(-42 + 42 + 26*p) as g*p + n and give g.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (0 - (6 + -18)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 559047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/3 (b) -3 (c) 1\/187\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111010001111010 (base 2) to base 8.\nAnswer: -72172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**5\/60 + 4*x**2. Let o(h) = -32*h**2. Calculate j(o(c)).\nAnswer: -1024*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -92*h**3 + 240*h**2 - 535012 wrt h.\nAnswer: -276*h**2 + 480*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 9:45 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/6 of a day?\nAnswer: 4080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sssh when four letters picked without replacement from hhhhsshsssssh?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tk when two letters picked without replacement from {k: 1, p: 1, t: 4, c: 1, d: 2, g: 3}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/16 - 9\/(-4). Let z = -66 + 101. Let y be 14\/z*-10 - (1 - 5). Solve y*h = h - j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 less than 359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 - 35 - 6*w + 68 - 29. Give h(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**3 + j**2 - 2031*j + 334470 with respect to j.\nAnswer: -6*j**2 + 2*j - 2031","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uulullu. What is prob of picking 3 u and 1 l?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7)*d**5)**(-12\/17) assuming d is positive.\nAnswer: d**(-444\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, 6, 20?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*x = -4*r, 2*r - 4*x - 18 = 0. Suppose 146 = r*d + 46. Is 6 a factor of d\/(-3)*(-18)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + (-14)\/12)*(-19 + 5)\/7. Which is the third biggest value? (a) k (b) -0.1 (c) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -16*s**5 + s**3 + 4*s**2 - 12. Let g(w) = 47*w**5 - 3*w**3 - 13*w**2 + 36. Let t(p) = -3*g(p) - 8*z(p). What is the third derivative of t(b) wrt b?\nAnswer: -780*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*f + 7 + 2 = 0, -2*f = -3*z + 6. Suppose z = 3*n + 4*n. Solve -s + 1 + 1 = n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 914152200.\nAnswer: 914152200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1639\/2 + -819. Factor c*p + 1\/2 - 3\/2*p**2 - 1\/2*p**3 + p**4.\nAnswer: (p - 1)**2*(p + 1)*(2*p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*h - 49 = -166 + 1167 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, b: 1, n: 7, t: 1, k: 3}. Give prob of sequence tnkg.\nAnswer: 7\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.65 and 17794.2.\nAnswer: 29360.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3063 (base 10) to base 12.\nAnswer: -1933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6450.08 + -6450. What is the biggest value in -0.1, 219, s?\nAnswer: 219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 5596312.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277022 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wppbppbppppbbppppb. Give prob of picking 3 b.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -126191289 divided by 7089\nAnswer: -17801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 32.98. Which is smaller: -0.3 or a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/14)\/(-1))\/(39\/(-9750)*25).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 1. Let l = 9711 + -9702. What is the lowest common multiple of l and (1\/(-2))\/(c\/(-14))?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 2)*(124*x**3 - 124*x**3 + 15*x**4 + (-2 - x**2 + 2)*(0*x**2 - x**2 + 4*x**2)).\nAnswer: -36*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1317340 divided by -1317340\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 2 - 13*y + 2*y**2 + 32*y - 16*y. Let r(l) = -9*l**2 - 6*l - 5. What is 5*q(c) + 2*r(c)?\nAnswer: 2*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9581 - 16?\nAnswer: 9565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkqdoqdkaqk. Give prob of sequence qkk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5256 (base 7) to base 4\nAnswer: -130332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/371 - 1123\/1855. Let z = -0.1 + 0.2. Let o = z + 0. Which is bigger: o or d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4633.899 decades?\nAnswer: 46338.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -3) + (-3 - -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 16*v**2 - 40*v - 8. Let o be w(-13). Solve -o*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 249\/(-27) - -4 - (-40)\/180.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2530, -4.\nAnswer: -2530, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/573 and 29\/11?\nAnswer: 6303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 1199*f - 22703. Calculate d(19).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-299)\/(-78) + ((-28)\/24)\/(-7). Let m = 2.53 + -2.53. What is the nearest to m in -5, y, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -13*j**2\/6 - 725*j\/6 + 123 = 0. What is j?\nAnswer: -738\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 25 = -2*v. Let p be (-42362)\/(-14360)*(-6)\/(-177). Suppose 2*o = 4*o. Which is the smallest value? (a) 3 (b) v (c) p (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.024 + 0.424. Suppose -f - 5*v = -2, 3*f - 12*v = -8*v + 6. Which is the nearest to -0.1? (a) f (b) 6 (c) y (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 2*o**2 - 2. Let l = -28 + 25. Calculate the remainder when 27 is divided by y(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 3) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hddhhhhoodhohohdd. Give prob of picking 4 o.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**31*(s*s*s**(1\/4)\/s*s)**(23\/4) assuming s is positive.\nAnswer: s**(-289\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9}. What is prob of sequence hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h + 42. What are the prime factors of j(0)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.006 + 3.294. Let d = s - 2.8. Which is the smallest value? (a) d (b) 5\/2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 4802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 2*o - 12. Let k be p(0). List the prime factors of (-8)\/(15\/k - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38544, -75279, -112014?\nAnswer: -148749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -8. Suppose 0 = -2*m - 2*n - 4 + 18, -y*m + 4*n + 4 = 0. Solve p - m*p = 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 2*r**5\/15 - 59*r**2 - 3*r. Let v(s) = -3*s. Determine v(z(w)).\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 11 - 7*c - 12*c + 21*c. What are the prime factors of u(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13518 and 22530.\nAnswer: 4506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74670 is divided by 4264?\nAnswer: 2182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-4 + 2 - -9). Suppose 4*g = -m + 17, 0*m = -p*m - 5*g + 40. Solve w - 4 = i, i - 10 = -m*w - 4*i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 5*q + c = 2, -5*q = 3*c + 14 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -683330516 divided by -123167\nAnswer: 5548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31762671*y*z**3 + 4*y*z**2 + 89865478*y wrt z?\nAnswer: 95288013*y*z**2 + 8*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4414 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/648 and 107\/136?\nAnswer: 11016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 8:12 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + (0 + sqrt(1216) + 0 + -2 + 4)**2).\nAnswer: -2444 - 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12764706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w - 3. Let g be t(-5). Let s be -5 + g + 10 + -2. What is the second smallest value in s, 3\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401825717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (-18 + 32) - 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*y - 272 = 5*y, 4*y + 409 = 3*c. What is the remainder when c is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = u + 5. Calculate the lowest common multiple of u and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(3872) + 4 - (2 + -1 + sqrt(3872))) + (0 + sqrt(3872))*-4*-3)*-6)**2.\nAnswer: 123552*sqrt(2) + 23557572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 12443 = -3*n, n + 5*u = -1756 + 5941. Is 18 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 4:50 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by -5\nAnswer: 84\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -73 + -228851.\nAnswer: -228924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*o - 258, -w + 78*o + 78 = 83*o. Calculate the highest common divisor of w and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481186 is divided by 3145.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r - 14. Let i be s(-8). Suppose 0 = 6*z - i*z - 88. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -3. What are the prime factors of -3 + (q - -5*12)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 - 24 = 3*q. Suppose 0 = 5*k + u - 797, 198 = 4*k - 2*u - 448. What is the highest common factor of k and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**3 + 387*p**2 - 1645*p + 18093. Determine d(125).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -56, -245, -568, -1031, -1640, -2401?\n\"Answer: -o**3 - 61*o**2 + o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**3 + 37*u**2 + 112*u - 50. Calculate the remainder when j(20) is divided by 244.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 275 and 22527285?\nAnswer: 112636425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4000176 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k**2 + 33*k - 13. Let o be i(10). Let p = o - 14353\/20. Find the common denominator of -3\/20 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 24 = 11*y. Suppose 22*n - 21*n = 5*d + 29, -5*n + 117 = y*d. Calculate the least common multiple of 56 and n.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 9*u**2 - 13*u. Let b(o) = -2*o**2 + 3*o. Let z(s) = -26*b(s) - 6*l(s). Let w = 11 + -8. Let p(f) = -w*f + 1 - 1 + 0. Calculate z(p(h)).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a second in milliseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*x + 157679509*x**3 + x - 157679507*x**3 + 89*x**2 - 8)*(-6*x + x + 4*x) in the form o*x**4 + h*x**3 + s*x**2 + y*x + n and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-nine fifths of a day?\nAnswer: 14112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 9:15 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 61\/4 of a decade?\nAnswer: 1830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5 = -5*r, r + 9 = -0*r - 5*n. Let g = 2\/6955 - 13924\/48685. What is the closest to r in -3\/2, -6, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -6 (c) 2 (d) 0.2 (e) 516\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.78234 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 125605621 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -17*h - 9. What is the remainder when p(-3) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from swww.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (60\/65)\/(2\/13). Solve s*y - 2*q + 2 = 5*y, 3*y - 6 = 2*q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46905.463 - -51.\nAnswer: 46956.463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + -3 - (6 + 4 + -1). Is -52\/5 at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (413\/49 - 9)*-63413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q - 855 = -2*o - 987, q + 5*o = -21 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3674 less than or equal to 3692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 3:27 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20470018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3931747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127759, 255509, 383259?\nAnswer: 511009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (18\/75)\/((-3)\/(-10))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**2\/(m**(-1\/6)*m*m)*(m*m**5)\/(m*m**(2\/49)) assuming m is positive.\nAnswer: m**(1507\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-6) - (-3056)\/48. Let i(q) = -q**3 - 2*q**2 + 34*q + 8. Let a be i(-7). What is the greatest common factor of a and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-6)\/(-27)*(-1683)\/(-34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 120 + -215. What is the hundreds digit of (-927)\/(-5) + 38\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by (1\/14 - (-27)\/63)\/(3\/942)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r**2 + 19*r + 19. Let v be u(-7). Let w = -81 + v. What is the remainder when w is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -4.3. Let m = 1 + -1. What is the closest to m in 0.5, -3\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 24 = 4*o, 4 + 10 = 5*y - 3*o. What is the common denominator of (-87)\/25*(-10)\/y and 109\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1329 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: -17 divided by 241\nAnswer: -17\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -371\/3 - -123. Which is the smallest value? (a) 4 (b) l (c) 1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98773 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/925, 0.042, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.05 (b) 24 (c) -0.06197\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 12. Let v be 291\/10*(-12)\/9. Let o = -38 - v. Sort -5, i, o in descending order.\nAnswer: i, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-102)*(0 - -10).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.158 and -301.073.\nAnswer: -300.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -3358.\nAnswer: 1679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 4*k - 14, 3*c - c = 5*k - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 442, 1472, 3476, 6778, 11702, 18572, 27712?\nAnswer: 39446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 - 8*s**2 - 7 + 5*s**2 - 9*s + 0. Give j(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a week in hours?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17285267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1643820256.\nAnswer: 2, 13, 137, 28843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -121*b**3 - 3*b**2 + 3. Let n(s) = -13795*s**3 - 341*s**2 + 341. Give 682*m(d) - 6*n(d).\nAnswer: 248*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/79 and 19\/21245707?\nAnswer: 21245707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**3 - 12*f**2 + 11*f + 9. Let o be j(-9). Let a = o - -35708\/11. Let l = a + 3. What is the third biggest value in -4\/7, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8046*y**2 + 21885124*y\/5 + 2176\/5.\nAnswer: 2*(y + 544)*(20115*y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -18068189522\nAnswer: -18068189521.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + sqrt(19)) + -2)*6.\nAnswer: -30*sqrt(19) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfhfchcfghggc. What is prob of sequence cgg?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 2*w - 20 = 5*t, -3*t - 14 = 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6241*g**3 + 12478*g**3 - 6239*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + 2*(sqrt(1700)*-2)**2 + sqrt(1700) + sqrt(1700) - ((sqrt(1700) + -2)**2 + -4 + sqrt(1700)).\nAnswer: 60*sqrt(17) + 11900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, w: 11, f: 7}. What is prob of sequence ww?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 6870*b - 3119. Let h(z) = 6869*z - 3129. Let q(j) = 10*a(j) - 9*h(j). Differentiate q(n) wrt n.\nAnswer: 6879","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*s - 870, 63 + 103 = x - s. Calculate the highest common divisor of x and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 532*h - 21938 - 1110 for h.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = y - 20. Suppose -g + y = 2. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 999 and 6179.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 160185690 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**6\/120 + 11*b**5\/60 - 5*b**4\/12 + 3*b**3\/2 - 3*b**2. Let o be h(7). What is the highest common divisor of 15 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15672 - -15672. Which is the nearest to o? (a) -2 (b) -3 (c) 29 (d) 3\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 414?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 (base 10) in base 3?\nAnswer: -22110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 2:13 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42*((-10)\/(-2))\/(7\/((-98)\/105)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2 = 4*p. Suppose 0 = -x - 2*x + 6. What is the units digit of 1 - ((4 - x) + p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2\/53))\/(o**17\/o) assuming o is positive.\nAnswer: o**(-793\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*c**2 - 55*c**2 + 105*c**2 + 14*c**3 wrt c?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/21 + 4\/14. Let g = 0.21 + 0.09. Put -0.3, g, v in increasing order.\nAnswer: -0.3, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01735 - -67.58735. Let r = -67 + t. What is r rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.9 + -14. Let i = 4 - 4.03. Let g = 54.47 + -49.47. Which is the second smallest value? (a) g (b) i (c) -0.4 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120923596 a multiple of 2970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/((k\/(k*(k*k**(5\/4)\/k*k)\/k))\/k))\/k))\/k)\/((k\/(k*k**17))\/k) assuming k is positive.\nAnswer: k**(63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-20)*40*(76\/(-360))\/(-19).\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*b**2 + 0*b**2 - b**2)*(0*b + b - 3*b) + (-2*b**2 + 3*b**2 + 2*b**2)*(-3*b - 4*b + 5*b))*(-5 - 20 + 8) to z*b**3 + w*b**2 + k*b + l and give z.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 1 + 8*l - 7*l + 0*l. Let g(f) = -7*f - 6. Give -g(o) - 5*j(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3497*l + 2175133. Determine i(622).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.20985002 to 4 dps.\nAnswer: 0.2099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**4 - 5*s**4 + s**4)*(-28 - s + 29 - 2*s).\nAnswer: 12*s**5 - 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 20. Solve 1 = -n - h for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + (4 + sqrt(98)*-1*-1 + sqrt(98) + 4 + (sqrt(98) - (1 + sqrt(98))*3))**2 + -3.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -27\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 457, 1, -3, 3, 0, -150 in decreasing order.\nAnswer: 457, 3, 1, 0, -3, -9, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 166605232 to the power of 1\/3, to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 35?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 3:23 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y. Let c(r) = 117*r - 238*r + 120*r + 1. Determine -c(u) + 2*m(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 320642 a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5825951 and 399?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*b - 43, 2*b + 70 = 5*n + 22. Let v be ((-3)\/30)\/(1 - n\/8). Find j such that -v*j**2 - 8\/5*j - 8\/5 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 2*b**2 + 8*b + 5. Let s = 51 - 47. Let c be a(s). Solve -r = -c*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392357280 a multiple of 1632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 7:20 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2912\/6955 + (-24)\/35 + 36\/126.\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-7) + 220\/35. Is 3*m\/9*955\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-2)\/6)\/((-3)\/90) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29044032 divided by -69\nAnswer: -420928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 (base 9) in base 13?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2190 - -2641.2. Let t = 451 - k. Sort -11, -0.3, t.\nAnswer: -11, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4775*v**2 + 2*v - 16. Let i(h) = 2153526*h**2 + 903*h - 7224. Give 2*i(b) - 903*m(b).\nAnswer: -4773*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7338326kg in grams?\nAnswer: 733.8326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vq when two letters picked without replacement from eeeqqqqeeeeqeqvqqqq?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 484383975 to the nearest integer?\nAnswer: 22009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 + y**2 - 14*y**2 - 1630*y + 44*y + 9*y**2.\nAnswer: -y**2 - 1586*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342809143 is divided by 171404569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -269 and -3398?\nAnswer: 3129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - -0.4. Let y = q + 3.8. Let n be (-8)\/22*(-1)\/2. Put n, 2, y in descending order.\nAnswer: y, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7443552 < 42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (187 - 189) + (8 - (17 + (13 - 9))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41 + -7.3474.\nAnswer: -48.3474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 6*g - 9. Let v be u(-8). Let q = v + -4. What are the prime factors of (6 - q) + 0 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 8*a + 9. Let o(q) = q + 1. Let t(s) = -2*i(s) + 18*o(s). Let b(l) = -3*l. What is b(t(z))?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2223 (base 4) to base 16.\nAnswer: -ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**2 + 224032075*b + 448064130 = 0. Calculate b.\nAnswer: -44806413, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 6*w - 7*w + 3*w.\nAnswer: 2*w - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/3626747 and -0.27 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241056 = 1450*p + 967*p - 185*p for p.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 28 (base 10) to base 12\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 16 = 3*u, 4*a = -41*u + 37*u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1905)\/889*(-56)\/(-12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -24, -39, -58?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-15))\/((-80)\/360).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -310411024 + 10334?\nAnswer: -310400140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 6:30 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 4*r - 28. What is the tens digit of r - 1 - (-6 - -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 1. Let d be r(3). Suppose -k - 2*k + d*q = -19, q = -5*k + 10. Solve 7*s + 2*t - 11 = 2*s, 0 = -k*s - 3*t + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 = -23*b + 6*b - 5*u, -5*b - 125*u + 68*u + 45 = -56*u for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from bznnnznbbnnnnnnbnz?\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 2:21 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h + 8. Let x be z(-6). Let f(l) = l**2 + 2*l - 3. Let v be f(-3). Calculate the remainder when (-27)\/12*(x + v) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3042 = 5*s + 3*k, -23 = -2*k - 25. Calculate the highest common divisor of s and 903.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-1\/3)*w))\/w**(-2))**(1\/9) assuming w is positive.\nAnswer: w**(4\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 1\/24*c**4 + 1\/2*c**3 + 0*c + 0 + 93*c**2. Calculate n(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (-6 + -17 - -21)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/2)\/((-25)\/50) + 2. Solve 8 = g*s + 4*a, -2*a - a = -6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 30*o + 83. What is q(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 16*v - 865. Calculate k(55).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*x**3 + 21*x**2 - 51*x**2 + x**3 + 30*x**2 + 7*x.\nAnswer: 15*x**3 + 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 65c3 + -57?\nAnswer: 6569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2. Let j(b) = -42*b**2. Calculate j(u(v)).\nAnswer: -672*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-572)\/(-1463) - (-4)\/(-38)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -0.07, 3, -3\/22, -27, -4?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1124608446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 35*m**2 + 66*m + 3. Let a be q(33). Suppose 6*s - 31260 = -4*x + 2*s, -a*s - 23457 = -3*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -188*z**2 - 8*z.\nAnswer: -4*z*(47*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*h**3 - 5 - 18*h**3 + 5.\nAnswer: 87*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 7*c**2 - c + 1. Let r be n(1). Suppose 3*b - 16 = -r. Suppose b*w - 184 = -w. Calculate the highest common factor of 506 and w.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.05, 0.104, 5, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*k + 1)*(55*k**3 - 26*k**3 + k + 3*k) as y*k**4 + f*k**3 + l*k + z*k**2 + b and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29250*o - 29250*o + o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxykgjjyg. What is prob of sequence yxy?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107 + 69 - 225 + 4*z**3 + 213.\nAnswer: 4*z**3 + 164","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 4*u - 6*u. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uvttuutt. Give prob of picking 1 v and 3 u.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4560132, -9120265, -13680398, -18240531, -22800664?\n\"Answer: -4560133*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 419666.066 to the nearest ten thousand.\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3217488*s**2 - 74*s + 325932468 wrt s?\nAnswer: 6434976*s - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1859.5005 - -1859. Let z = -70.5 + 71. Let n = z + i. What is n rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1035*g + 5*n - 654479 = -1039*g, 654483 = 4*g + n. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11885682 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i = 66*i - 252109. What is the thousands digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.226 - 0.18. Let f = -26.21 - -23.21. What is the second smallest value in 1, f, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22998*w**2 + 7631*w**2 + 7648*w**2 + 7729*w**2.\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-9))\/(-17*(-4)\/(-476))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 4266 - 47626. Suppose t = -4*q + 33296. Let i(l) = 6156*l - 3*l**2 - q*l. Let m(f) = -6*f**2. Calculate m(i(o)).\nAnswer: -54*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1168*i - 294 = -1174*i. Round i to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-8)*-38 - 30\/40.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -150.97, -4\/5, -4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1885, 4170, 7257, 11548, 17445, 25350, 35665, 48792?\nAnswer: 65133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 + 30*o + 6. Determine c(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -998 + 1053. What is the nearest to -2\/7 in s, -0.7, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/8 - 9\/(-4). Suppose -2*g = -6*t + 3*t + 4, -4*t - 4 = b*g. Let n be (1 - t)\/(-1) - -10. Solve -2*r - n = 2*l + r, l + 2*r = -7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 372262 and 152289.\nAnswer: 3350358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-3)\/18*1). Let n be (-3)\/g + (-62)\/(-8). Let k(h) = -h**2 + 10*h - 12. Let o be k(n). Solve 3*x = -o*y - 12, 5*x = -y - 0*y - 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 236930 divided by -2\nAnswer: -118465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -171*v**4\/4 - 29*v**2\/2 + 4*v - 45. What is the second derivative of m(a) wrt a?\nAnswer: -1026*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.03 and -1.55?\nAnswer: 1.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1130, 1157, 1182, 1205, 1226, 1245?\nAnswer: 1262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.36 less than -6.8467?\nAnswer: -4.4867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 41*s**2 - 60*s + 128. What is a(-42)?\nAnswer: 4412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, y: 2, o: 2}. What is prob of picking 2 y and 1 c?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 300 or 430?\nAnswer: 430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**2. Let u be (78 - 73)*(-1)\/(-1 - -2). Let r(i) = 15*i + 10. Let a(x) = -17*x - 12. Let j(f) = u*a(f) - 6*r(f). Determine j(m(p)).\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 7:33 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40598 by 53.\nAnswer: -766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -111211110012?\nAnswer: 111211110002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(315)*1 + sqrt(315) + sqrt(315)))\/(-3*sqrt(20)\/sqrt(4)))\/(-6*sqrt(9)*2 + 1*((sqrt(9) - sqrt(36)\/sqrt(4)) + sqrt(9))).\nAnswer: sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 6 + 14. Suppose -r*l + 0*l = -5. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*y = -11, -10*m = -6*m - y - 10. Solve -3 = -3*s + m for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u - 43 = -12*u - 3*k, -3*k = 5*u + 20 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**5. Let c(i) = -213*i**5 - 2*i**2 - 9. Let u(o) = c(o) - 5*y(o). What is the third derivative of u(t) wrt t?\nAnswer: -13080*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*1*(0\/(-3))\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001010000 + 1100000001101010100?\nAnswer: 1011111110100000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2757 + 6059\/2. Let c = m + -287. What is the common denominator of c and -35\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36208 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 2:37 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.726 + 26.274. Which is the closest to 2? (a) 5 (b) 1\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71210771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1510 divide 153537202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 21*p + 18. What is c(2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 121523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 x when four letters picked without replacement from ixxxxix.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 + -8 - 15) + 6 - (-131)\/(32\/32).\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1758, -3516, -5270, -7020, -8766, -10508, -12246?\nAnswer: -13980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 8:20 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -254*a*i**3 + 28*a*i**2*r + 2*a*i**2 + i**3*r**2 + i**3*r - 6*i**3 - 4*i*r + 58*r**2 wrt i?\nAnswer: -1524*a + 6*r**2 + 6*r - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 take away -0.2577?\nAnswer: 20.2577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + sqrt(612))**2.\nAnswer: -24*sqrt(17) + 611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5715527.\nAnswer: 5715527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20099549255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9738*w - 775*w + 195*w - 818*w + 363*w - 4056*w.\nAnswer: -14829*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -659, -5, 0.55, 4?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.3 (c) 5 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -165 - -252. Let v be (-12)\/102 + l\/17. Suppose -v*r - 2*a + 22 = -15, -2*r + 12 = -2*a. Is r bigger than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2300 + -8824?\nAnswer: -10024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5\/2 + 17174*v**4 - 3787355*v**3\/2 + 52117725*v**2.\nAnswer: v**2*(v - 55)**2*(v + 34458)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -12*k + 16, -2873*k - 8 = n - 2875*k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71 + 89. Let u be a\/4 + (-13 - -8). Let i = -1460\/9 + 162. Sort 0.3, u, i.\nAnswer: u, i, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 815 and 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01017133 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000001 + -111110000110001100?\nAnswer: -111110000100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + (sqrt(11) + (sqrt(11) - (3 + sqrt(44))) + sqrt(11) - sqrt(11)))*5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2464582 is divided by 519.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/36)\/(2*(-13)\/312).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-756))\/(((-380)\/32)\/19)*(-140)\/(-15)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*x = 150*x - 856*x - 983*x - 71192 for x.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 40 = -3*p, 3*p - l = -0*p + 32. What is the highest common divisor of p and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - 17.7. Does 0.1 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 351 and 1242.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.6960941 - -1.696. Round k to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393359 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 1:56 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - -2)*(-8)\/(-6). Let w(t) = -b + 0*t**3 + 3*t + 0 + 5*t**3 + 4*t. Let h(s) = 2*s**3 + 3*s - 2. What is 7*h(o) - 3*w(o)?\nAnswer: -o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 1 - 2)*(8 - 2*y - 3 + 4) to c*y + f and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a centimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b - 385. Let w(v) = 5*v**2 - 10*v + 4. Let x(k) = -13*k**2 + 25*k - 10. Let t(z) = -5*w(z) - 2*x(z). Give l(t(q)).\nAnswer: 2*q**2 - 385","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 430\/(-301) - 25560\/(-1036). Which is smaller: o or 24?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**4 - k**3 + k**2 - 5*k - 6. Let u(m) = 5*m + 5. Suppose -x - 14 = -3*p, -3*p - 3*x + 18 = -2*p. Let b(a) = p*u(a) + 5*z(a). Factor b(c).\nAnswer: -5*c*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1034767 - 1034764. Let k = 0 - -0.1. Let j = -3 + 7. Which is the nearest to k? (a) j (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6*w**3 + 3*w**2 - 5*w - 13. Does 3 divide l(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.226068m?\nAnswer: 0.000226068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0696 - -2.0696. Sort -5, r, -0.1.\nAnswer: -5, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11824974 a multiple of 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3346 (b) 3 (c) -3 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*y = -491, 4*r + 393 = 2*y - 5*y. Let g = -66 + -32. Is g >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6 - -0.63. Let v = 0.030024 - b. Round v to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + 2\/(-2) + 3. Let c(r) = -2*r**2 + r + 4. Suppose 4*p + 61 - 17 = 0. Let s(z) = -4*z**2 + 2*z + 7. Give j*s(u) + p*c(u).\nAnswer: -2*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/17, -7.76, -4\/35, -2\/11 in increasing order.\nAnswer: -7.76, -4\/17, -2\/11, -4\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5855 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17559 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -f - 3*f. What are the prime factors of 16 - f\/6*2?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2440*h. Let b(y) = 1273*y - 7. What is n(b(q))?\nAnswer: -3106120*q + 17080","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 4*i + 3. Let m be s(4). Suppose 23 = 3*l - 4*t, t - 6*t + 5 = 0. Differentiate 3*x**m - 10 + x**3 + l with respect to x.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 125*x**4 - 1377 + 1377)*(0 + 3 - 5).\nAnswer: -250*x**4 - 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18941*a + 3908 - 3908.\nAnswer: 18941*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11402, -11400, -11398, -11396?\nAnswer: -11394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**2 + 0*l**2 - 6*l**2 + (-l + 5*l - 2*l)*(0*l + l + 0*l) + 2 - 2 + 2*l**2 + 547*l - 547*l - 97*l**2.\nAnswer: -99*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -703, 107.9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1152000 by 80.\nAnswer: -14400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/sqrt(2)*1 + -4.\nAnswer: -4 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2471622945 to the nearest integer?\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6241500 rounded to the nearest one hundred thousand?\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 146, 4, -2 in ascending order.\nAnswer: -2, 3, 4, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 57*g**2*r*x + 138209*g**2*v - g**2 + 14*g*r*v*x - 2*g*r*v - 190*g*x + 2*r*x wrt v?\nAnswer: 138209*g**2 + 14*g*r*x - 2*g*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*k**3*m*o**2 + k**3*o**2 + 40*k**3*o + 1344*k**2*m*o**2 - 75*k**2*o**2 + k**2 with respect to m.\nAnswer: -7*k**3*o**2 + 1344*k**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*o - 1 = -12, -3*d - 4*o = 9. Let t(i) = 9*i + 7. Let l(f) = -8*f - 6. Let y(z) = -4*l(z) - 3*t(z). Let h(c) = c. Give d*y(s) - 4*h(s).\nAnswer: s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 4:35 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3602 or 3601?\nAnswer: 3602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 5:23 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-16 + 6 - -13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j + 73 = -71. Calculate the smallest common multiple of j and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 8 = 8. Let j be ((-2)\/3)\/(q\/18). Let i(z) = z + 5. What is i(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 2:55 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*n - 15 = -4*y, -5*y + 31 = n. Suppose -3*s - 3*q + 4*q = -17, 0 = -2*s - 5*q. Let x = y - s. Solve -5*u = -x*z + 12, -z - 5 = u + 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 35*m + 2. Let n(g) = -g - 3. Calculate -n(l) - v(l).\nAnswer: -34*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 11:07 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23938?\nAnswer: 2, 11969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 3\/8 (c) 0.03 (d) 15 (e) -3\/7 (f) 0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(1\/5)))**(19\/6))**(2\/111)*(j*j*j\/j**(-7)*j*j**2*j)\/((j\/j**(1\/4))\/j**(-2\/7)) assuming j is positive.\nAnswer: j**(604927\/46620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 10*g - 11. Suppose 2*m = 3*m + 5*y + 26, -5*m - 58 = y. Let j be f(m). What is the remainder when 45 is divided by 1\/((-2 + j)\/(-24))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 16*t + 19 = 0, j = -2*t + 21 - 22 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w - 84 = 8*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -5. What is the second derivative of 0*d + 3*d**3 - 2*d**i - 2*d - 2*d**3 wrt d?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/5 + 15*c**2.\nAnswer: c**2*(c + 75)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00153769543 rounded to 5 dps?\nAnswer: 0.00154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qhfv when four letters picked without replacement from fhvvqvvfv.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 12 = -257. Let h = f + 389. Suppose h = 2*i - 126. Is 35 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5689 is divided by 1891.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66 - -87. Suppose -9 = -3*x - 4*t - 0, -3*t = -3*x + 9. Calculate the highest common divisor of g and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 (base 12) to base 8\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-43)\/((-1892)\/297))*(-42)\/8.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 77, 143?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23681.799 + -23669. What is d rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142547551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002729 rounded to six decimal places?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p + 62562*p**2 + 2*p - 62571*p**2 + 10 - 6*p - p**3. Let r = 0 - 9. Is t(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*p + 1199 = 54*p - 425 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 622108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(465\/(-470)) + 21\/(-28)*4.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7664 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6391 and 143?\nAnswer: 83083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11 and 29541?\nAnswer: -3249.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/770?\nAnswer: -3\/770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -26*w**3 + 17*w**2 + 16*w - 21. Calculate m(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 392 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*n + 3*z - 3, -5*z = -15. Let i be n*(-3)\/(-9) - 15\/(-9). Find the second derivative of v - 3*v + 21*v**i - 2*v**2 + 3*v wrt v.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 381031.2 decades to millennia.\nAnswer: 3810.312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 223180 and 0.0509?\nAnswer: 223179.9491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*l = 921. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 499558, 499542, 499526?\n\"Answer: -16*f + 499574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.19 + -0.19. Let j = -24 + 73\/3. What is the closest to j in -3, x, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*7459.14.\nAnswer: -37295.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11531260 (base 10) to base 5\nAnswer: 10423000020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 - 1844*x**2 - 43 + 16 - 172*x**2 to z*x + k*x**2 + f and give k.\nAnswer: -2016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 127745046983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-4))\/((-222)\/296 + -6)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -4, -2\/13, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -2)\/(11\/33). Solve 3*x = 4*c - 13, -x + c + 0 = n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and -12.4?\nAnswer: 0.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-1)\/4) + -1. Suppose -5*x = -22 + 2. Find r, given that -3\/4*r**2 - 1\/4*r**x + 0 + 3\/4*r**h + 1\/4*r = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (0 + 14)) + -2 + (6 - -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 5*w**2 + 6*w - 1. Suppose 7*z = 2*z - 20, -2*d + 4*z = -164. Suppose -2*v = -2*p - 41 + 1, -3*p = 4*v + d. Let t = p + 16. Calculate x(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + sqrt(200))*-2)**2.\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 28\/8*12\/42\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-eight fifths of a centimeter?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 30 = 5*l, 4*l - j = 1 - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 7*h = 2*h + 16, 2 = -2*g + 4*h. Suppose -g*f + 14 = -139. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6096, 6063, 5980, 5823, 5568, 5191, 4668?\nAnswer: 3975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-21)\/(-10))\/7)\/((-6)\/(-5))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76047963.\nAnswer: 3, 25349321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkxk when four letters picked without replacement from {k: 4, t: 5, x: 5}.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/(-105) - 3176\/(-30). Suppose 5*i - 443 = 5*p + 4*i, -5*p = 3*i + 431. Let l = p + a. What is the highest common factor of 2 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 57*c + 5525. Let n be k(-96). Is n <= 124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (819\/195)\/(1\/(-5)*1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/sqrt(4)*3*1 + -3.\nAnswer: -3 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/115 and -107\/310?\nAnswer: 7130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from mkddmekmmmkmk.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f - 2*f**4 - 4*f + (1041*f**2 - 530*f**2 - 617*f**2)*(-14*f**2 + 2*f - 2*f).\nAnswer: 1482*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 8 = -4*b, -2 = -h - 2*b - 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 0) + 0\/7. Suppose -5*g = 6 - 21. Suppose -2*y + 5 = g*y. Is q less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -175*l**2 - 4*l - 2. Let g(p) = p**3 - 177*p**2 - 6*p - 3. Calculate 2*g(d) - 3*m(d).\nAnswer: 2*d**3 + 171*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 16 = 32. Let z be (-1387)\/(-5) + n\/(-5). Round z to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 82652, 164670, 246694, 328724, 410760, 492802, 574850?\n\"Answer: 3*h**2 + 82009*h + 640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1790*i - 2 - 6 + 8 + 1783*i - 3563*i.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5738354 (base 9) to base 10.\nAnswer: 3096355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - (29 - 55) - (1 - -4)) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5400?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 93093 and 5239?\nAnswer: 1210209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c**2 - 2*c + 16. Let x be i(-3). Let f(y) = -y**2 - 13*y + 9. Calculate f(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -8*o. Let n(w) = w + 12. Let j(l) = -22*l - 21. Let q(v) = -j(v) - 2*n(v). What is q(z(x))?\nAnswer: -160*x - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(((v**(-9)*v)\/v)\/v)))\/v**(-1\/8)*((v\/v**(3\/4)*v)\/v*v)**(-6\/5) assuming v is positive.\nAnswer: v**(-91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0558067 + 0.0553. Round v to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 14*r**2 - 94*r + 10. Calculate z(8).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1, -82.375, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 10*h**2 + h + 14. Let t = 25 + -36. Let f be q(t). Suppose -2*r + 116 = 3*s - 0*r, -2*r = -3*s + f. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgw when three letters picked without replacement from {z: 1, g: 1, p: 2, j: 1, u: 3, w: 4}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**4\/12 + v**3\/3 - 363*v**2. Let n be 2\/7 + 52\/14. Suppose -5*z - 23 = t, n*z + 12 = -3*t - t. Determine x(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*r = 35*r - 520 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c**3 + 149*c - 74*c - 75*c.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5325.5 - -810. Round g to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/1932 + 1087\/483. Factor -3\/4*x + 3\/4*x**3 + u*x**2 - 9\/4.\nAnswer: 3*(x - 1)*(x + 1)*(x + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81 divided by -26\nAnswer: -81\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 8:35 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 3. Suppose 0 = 2*q + n - 75, -5*n + 3*n - 162 = -4*q. Let f = -39 + q. What is r(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2. Let b(m) = -169*m**2 - m. Calculate b(d(p)).\nAnswer: -676*p**4 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-3)\/18)\/((-8)\/24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5977 and 344?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -3. Suppose 2*m + a = 3*m. Suppose -5*c + 4*j = -75 + 23, 0 = m*c + j - 13. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*u**4 - 854433*u**2 - 300352 wrt u.\nAnswer: 12*u**3 - 1708866*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.048267 times -2?\nAnswer: 0.096534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 - 64 + 15*g**2 + 20 + 19 to the form s*g**2 + d + h*g and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3*j, 0 = 5*f - 2*j - 3*j. Suppose 4*u - 3421 = -3417. Let g be (-2)\/(-5)*(u\/(-2) + f). Which is the closest to -0.4? (a) 1 (b) 1\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 32, 4, 1, -2\/29?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**4\/12 + 5*a**3\/3 - 58*a**2. Give v(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -1837*v**5\/10 + v**3\/6 - 3012*v**2 + 2215*v. What is the first derivative of m(o) wrt o?\nAnswer: -11022*o**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 209\/6 + -2287\/66. What is the nearest to 24\/5 in -4, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4107 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 8:04 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 497 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f - 7623 + 111446 = -103057. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = b, 2*i - 4 = 4*b - 6. Let u(p) = -219*p + 1. Let o be u(i). Is (-2)\/(-11) - o\/44 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9442413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003775 rounded to 6 decimal places?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 193 (b) -576 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 5:52 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 146\/323 + -5\/17. Let p = -185\/152 - d. Calculate the common denominator of p and -3\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 8*l = -2, 3*d - 25253*l - 109 = -25254*l for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 4*b = -20. Let f = b + 13. What are the prime factors of (3 - 1)*36\/f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8197\/12 - 682. Which is the second biggest value? (a) v (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 + 3210040434?\nAnswer: 3210040500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.7 times -0.4?\nAnswer: 2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 1 - (0 - -120). Let q = 228 + x. Let o = q - 53. List the prime factors of o.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -847*q**6\/30 + 1909*q**4\/12 - 775*q. What is the third derivative of h(b) wrt b?\nAnswer: -20328*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) - (sqrt(567) + (sqrt(567) - (0 + sqrt(567)))*-3))**2 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**5\/60 - i**4\/24 - i**3\/3 - 3*i**2\/2 + i. Let h(t) be the first derivative of o(t). Factor h(j).\nAnswer: (j - 2)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 51, 55, 59, 63, 67?\n\"Answer: 4*i + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 times 1.2?\nAnswer: -85.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*y - 31*y + 1 - 128*y - 76*y to z + k*y and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9065 and 560735?\nAnswer: 1295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160) - (sqrt(160) + 5*(-2*sqrt(160) + sqrt(160))))\/sqrt(8))\/(-1*(sqrt(160) + sqrt(160) + 2*sqrt(160))).\nAnswer: -5*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3e (base 16) to base 14\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u. Let y(d) = 6 + 11 - 25 + 141*d**2 + 8. Determine p(y(n)).\nAnswer: -141*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) -4 (c) 1\/3 (d) -0.5 (e) 10 (f) 2 (g) -1592\/15\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l - 21*l - 2 + 2.\nAnswer: -32*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*i - 210 = -219*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/(c\/(c\/(c\/c**(2\/39))))*(c**(-1\/23)\/c)\/c*(c**(-1\/4)*c)**(-3\/43) assuming c is positive.\nAnswer: c**(-161153\/154284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118183, 236358, 354527, 472690?\nAnswer: 590847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182368 is divided by 89.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 4225*j - 4226*j + 12*j**4 - 9*j**2 - 42*j**4 + j**3 + 0*j**3 + 0*j**3 as v*j**3 + m*j**2 + a + c*j + g*j**4 and give g.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 1272*r - 12896. Calculate j(9).\nAnswer: -1448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2627 is divided by 2603.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 10009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120014 (base 7) in base 9?\nAnswer: 232033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.5 - 0. Let i = 2450 - 2464.1. Let l = r + i. Round l to zero decimal places.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -9*t. Let k(w) = 4*w. Let b(d) = 5*k(d) + 2*z(d). Suppose -5*x - 4*r = 5 - 1, -5*r - 5 = 3*x. Let o(g) = 2*g**2 + 0 + x. Determine o(b(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**2 - 15*u + 15*u + 4*u**2. Let p(x) = -x. Calculate j(p(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*t**2 + 21*t**2 - 77*t**2.\nAnswer: -127*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 51\/3 - (-2 - -1). Let j be (-14)\/(-63) + (-436)\/y. Let f = j - -52. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -601250, -601251, -601252, -601253?\nAnswer: -601254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -322\/1287 + 4\/143. Suppose 4*l = -17 + 5. Put q, 4, l in ascending order.\nAnswer: l, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0 - 2. Suppose 1 = c*i - 7. Suppose i*r = 3*r + 5. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 973 is divided by 163?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 11, h: 1}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.859866ml in litres?\nAnswer: 0.008859866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 - 4*p + 60. Let h be t(0). What is the greatest common divisor of h and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 215297811?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**5\/5 + 368*z**4\/5 - 16088*z**3\/5 + 59968*z**2\/5 - 58512*z\/5 = 0?\nAnswer: 0, 2, 46, 318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1039682*h**2 - 17304*h - 72.\nAnswer: -2*(721*h + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -112135260 - 3?\nAnswer: -112135263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 0*u - g + 41, 2*g - 38 = -2*u. Solve 0 = 3*l - 19 + u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h - 182 = -2*i + 15*h, -i + 93 = 2*h. Calculate the highest common factor of 34 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 12 = -f - 23, -49 = 3*f + 5*g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6401.428 kilometers?\nAnswer: 6401428000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 v when two letters picked without replacement from bbbbbvbb?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffaf. Give prob of picking 1 a and 2 f.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1060826081.\nAnswer: 7, 4391, 34513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8780929, -8780920, -8780913, -8780908, -8780905, -8780904?\nAnswer: -8780905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 136*g + 1377 - 969 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0259 - 0.0305\nAnswer: -0.0564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1155928789 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from feenfeeeknkne. What is prob of sequence fee?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12957 and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -89\/3. Suppose 0 = -5*r + c + 15, 21 = 3*r + c - 4*c. Let p be r\/9*(3 + -2). What is the closest to p in 2, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/105 and 19\/40335.\nAnswer: 282345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 273993 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -87 and 2252 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2343433 to the power of 1\/2, to the nearest integer?\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 917 and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -2*f + 7*f. Let x = 7 - 4. Suppose 4*v - 4*a - 39 + 59 = 0, 0 = -4*v - a - 5. Sort x, f, v in descending order.\nAnswer: f, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3+8226527563\nAnswer: 8226527566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -444*t - 17. Let h(j) = -74*j - 3. What is -6*a(s) + 34*h(s)?\nAnswer: 148*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199094?\nAnswer: 2, 7, 14221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*d - 5 - 4*d)*(-593*d**2 + 78*d**3 + 593*d**2) + d**4 + 3*d**4 - 5*d**4 + (0*d - 4*d + 3*d)*(3*d**2 - 3*d**3 - 3*d**2) - 2*d**4 - 3*d**4 - d**4.\nAnswer: -160*d**4 - 156*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 2*d - 19, -2*d + 3*d = 3*w - 14. Suppose 5*p - 13 = -6*u + 3*u, -p + 5*u + 25 = 0. Factor 15 - 382*q**3 - p + 20*q**2 - 25*q + 377*q**w.\nAnswer: -5*(q - 2)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1418, 1481, 1582, 1733, 1946, 2233, 2606?\n\"Answer: 2*d**3 + 7*d**2 + 28*d + 1381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + i - 24. Let k be i\/6*172\/32. Let n = k - 20\/3. What is the second smallest value in n, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (1*sqrt(700) + -2 - sqrt(700) - sqrt(700)))*1)**2 - (5*(sqrt(700)*2 + 2))**2*-3.\nAnswer: 6040*sqrt(7) + 211004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6953 to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 x when four letters picked without replacement from xxxgxggqgxgxgqxqr?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 24?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2258330, 2258523, 2258714, 2258903?\n\"Answer: -x**2 + 196*x + 2258135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 7 - (-3 - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/7)*l**(-10)*(l**(-7)\/l*l)\/l**13 assuming l is positive.\nAnswer: l**(-212\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*r + 60483*r**3 + 21*r - 30254*r**3 - 30230*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 2:22 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119046 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 5)*(-4*l + 4*l + 4*l) - 5*l + 4*l + 3*l - 2*l + 0*l + 5*l + 9 - 9 + 7*l in the form s*l + v and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2, 23, 60, 113, 182, 267?\n\"Answer: 8*g**2 - 3*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109 divided by -2.\nAnswer: 109\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73572 = 35*j - 203173. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 4, s: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(1\/4)\/p))\/(p\/p**(-1\/11))*p**(5\/6)\/p**(-2\/5) assuming p is positive.\nAnswer: p**(1249\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m - 4*m + m as n*m + f and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000015217 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329 = 3*v + 68. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -992*u + 171. Is y(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 75878.559 milliseconds?\nAnswer: 0.0008782240625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -10*u - 48 - 9*u - 4*u + 31*u - 14*u. Calculate d(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 2181*c + 19386.\nAnswer: 3*(c - 718)*(c - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v - 7*v + v + (v + 0*v + 0*v)*(-4 + 3 + 2) - 5*v - v + 9*v)*(-4 - 3 + 0) to r + g*v and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 28 = -4*m - 2*f, -f = 0. Let a = m + 309. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008563455 rounded to 4 dps?\nAnswer: 0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -20f (base 16) to base 8\nAnswer: -1017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**4 - 668*r**3 - 128462*r**2 - 5430220*r - 5302425 = 0.\nAnswer: -305, -57, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 5. Suppose -h = n - 36. Suppose c = -2*c - 4*j + 56, 5*j + n = 5*c. What is the least common multiple of 10 and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 437 + -438. Let u(b) = -b - 2. Let w be u(-3). Let p = -5 + w. Which is smaller: p or c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 447*c**2.\nAnswer: 447*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3 + sqrt(343) + -4 + 1*(sqrt(343) + sqrt(343)*1))*-4*-5)**2.\nAnswer: -67200*sqrt(7) + 4940800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of b**2 + 1. Let c(k) = -27*k + 3*k + 20*k. What is y(c(p))?\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136017117.\nAnswer: 3, 1229, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*p**4*v + 89*p**3*v**2 + 3*v**2 - 1100*v wrt p?\nAnswer: 28*p**3*v + 267*p**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 133992 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p = -13 + 34 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216, -218, -230, -258, -308, -386, -498?\nAnswer: -650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyr when three letters picked without replacement from rrrrrrrryrrrrrrryrrr.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w + 46. Let v(t) = 6*t - 45. Let l(y) = 3*k(y) + 2*v(y). Let z be l(14). Solve -6 = -4*m + z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 434\nAnswer: 43.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 5*h - 2. Let j be 6\/9 + 20\/6. Suppose -4*b = 5*l - 2*b + 15, -2*b + 12 = -j*l. Let a be u(l). Solve -w = -0*w + a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -t**2*x**2 + 19*t**2*x + 65*t**2 + 2*t + 31288*x**2 wrt t?\nAnswer: -2*t*x**2 + 38*t*x + 130*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435 is divided by 24*(-7)\/(-14) + 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-182)\/455 - (-2)\/(-20))\/(-1). Let k(c) be the first derivative of 2*c + 0*c**3 - 36 - 1\/4*c**4 - p*c**2. Give k(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 59 - 2?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0648 - -53.6648. Let q = z + -53.599999436. Round q to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/13)*a\/(a*(a*a*a**9*a)\/a))**(-3\/25) assuming a is positive.\nAnswer: a**(84\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-6))\/((-2)\/12). Suppose -61 = -z*d + b, 0 = -3*d + 5*b - 10*b + 73. Suppose -198*x = 11*x - 2926. What is the highest common factor of x and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 131 - 102 + 91 + j - 85.\nAnswer: j - 188","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4.099*-0.12875\nAnswer: 0.52774625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - -7 - (-6 - -14) - 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 1. Let n(z) = 15*z + 7. Let x(v) = -n(v) + 6*y(v). Suppose -5*f = -3*d - 22 + 4, f = 4*d + 7. Determine x(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 2*b + 120. Suppose 3*z - 15 = -5*u, -u + 3*z - 10 = 5. Let d be w(u). Let l = 25 + d. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -5\/42*z**7 + 0*z**2 + 0*z**5 + 43 - 2\/3*z**3 + 0*z**6 + 1\/6*z**4 + z + 1\/8*z**8. Find the third derivative of m(o) wrt o.\nAnswer: 840*o**3 - 300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/8 (b) 0.2 (c) -9974 (d) -3\/7 (e) -0.1 (f) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 23478.\nAnswer: -23485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 2, k: 17}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114692.\nAnswer: 2, 53, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1081 + 1097. Calculate the remainder when 31 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.14 + 0.07. Let w = d + 4.07. Let r be (-3)\/(-1) + (-40)\/12. Put -2, r, w in ascending order.\nAnswer: -2, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-4) - 0\/(-325).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52741812.\nAnswer: 2, 3, 4395151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6476614 + 14175214. Round m to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3)\/v*v*v**(-4))**(-18)*((v\/((v*v**(2\/17))\/v*v))\/(v\/v**10))**(-23\/4) assuming v is positive.\nAnswer: v**(1015\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/123 and 139\/156.\nAnswer: 6396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14674 + 14753. Suppose -b - 8 = 5*y, 3*y + y + b + 7 = 0. Sort s, y, 5 in descending order.\nAnswer: s, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111482040 rounded to the nearest 1000000?\nAnswer: 111000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2901.00601 + -2901. Round i to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1470 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1550 and 186.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-31)\/(-4) + (-8)\/(-32). Suppose d - w - 4 = 2*d, 0 = 2*d - 2*w - r. Let s(a) = 4*a - 1 + 3*a + d*a. What is s(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -52371047 + 0?\nAnswer: -52371047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 l when two letters picked without replacement from {l: 1, u: 1, q: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*v = -141*v + 71*v - 3*x + 11, 21 = -4*v + x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3149 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 7*k**2 - 15)*(4 + 0 - 6 + (2 + 1 - 4)*(1 + 2 - 2)) - 2 + 0 + 3 - k**2 to the form m*k**2 + n + o*k and give m.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 168. Let l(q) = -6*q + 839. Calculate 11*i(o) - 2*l(o).\nAnswer: o + 170","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 2)*(5*c - 6*c + 2*c) to the form p*c + y and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 775685 and 480?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28\/(-42)*9\/1. Let t(f) = 2*f - 2. What is t(b)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 335643, 671293, 1006943?\n\"Answer: 335650*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1325*m**3*u**3 + 4*m**3*u**2 - 4*m**3*u - 209*m wrt u?\nAnswer: 7950*m**3*u + 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86286.\nAnswer: 2, 3, 73, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xsxssssxiisxisix.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/930 and -47\/42.\nAnswer: 6510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-6*3\/(-9)). Differentiate 4*g**3 + t*g**3 + 3 + 5 with respect to g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/4*(-34)\/(-476)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 65*a**2 + 59*a + 322. Let q be h(64). What is the greatest common factor of q and 566?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3\/4, -4, -3 in ascending order.\nAnswer: -4, -3, -3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4 = 2. Solve -6*o**4 - 5*o**5 - 6*o**4 + f*o**4 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + (-2 - (10 + -1)). Let x = 3 - k. Suppose 0 = -2*g - 24 + 92. Calculate the remainder when g is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 96392582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ems when three letters picked without replacement from {m: 3, s: 3, e: 1}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*p - 4 = -2*y - 144*p, -p = -y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37295.1 minutes in microseconds?\nAnswer: 2237706000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 388 = -l, 5*l + 660 = -k + 6*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 34. Which is the fourth smallest value? (a) f (b) -4 (c) -2\/13 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 29*n**3 - 4*n**2 + 4*n + 66. Let p(c) = -6*c**3 + c**2 - c - 12. Calculate -11*p(x) - 2*z(x).\nAnswer: 8*x**3 - 3*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.58977 - 0.59. What is d rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 102*h**2*u - 580*h**2 + h*u + 95*h + 417*u wrt u?\nAnswer: 102*h**2 + h + 417","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, j: 1, k: 2, x: 6, u: 2}. What is prob of sequence kkxa?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -1)*-3*84. Let a be 3 + 2*366\/h. Is 1 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4320 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 62, 83, 148, 281, 506, 847, 1328?\n\"Answer: 4*h**3 - 2*h**2 - h + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -347, -1386, -3117, -5540, -8655, -12462?\n\"Answer: -346*p**2 - p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 0)*(439 + 5987 - 293 + 12229)*(-2 + 3 + 1)*(u - 3 + 3) to the form n + l*u and give l.\nAnswer: -73448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5 + 6.5. Let n = 15 + -23. Let k = p + n. What is the nearest to -0.1 in 0.3, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452397 is divided by 112689.\nAnswer: 1641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10132214 (base 5) in base 6?\nAnswer: 1442134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4530094 micrograms in milligrams?\nAnswer: 0.0004530094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160256798 and 284.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*n - 22 = -52*n. Let z(y) = 13*y**2 - 4*y - 3. Let d be z(-3). Suppose 28 = -n*s + d. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1319*j**2 + 1080 with respect to j.\nAnswer: -2638*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -24, -21, -2, 39, 108?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 691404613?\nAnswer: 137, 1069, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-3.2.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/13 - (-726)\/(-1573). Let g be 2\/(-1)*186\/(-4). Is g + j + 0\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4*y - 11, -3*g - y + 14 = -7*g. Let h(i) = -6*i**2 - 4*i + 9. Let u(n) = 3*n**2 + 2*n - 4. Calculate g*h(s) - 7*u(s).\nAnswer: -3*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -11*o**3. Let m(a) = -6*a**3. Calculate -3*f(x) + 5*m(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 15*q**2 - 53*q - 29. Let j be v(-10). Are 2\/457 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r**2 + 0*r + r - 5 + 0*r**2 + 2*r. What is the units digit of x(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/28 and -31\/4417.\nAnswer: 17668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 1\/10*o**4 + 0*o + 0*o**3 + 0*o**5 + 0*o**2 - 1\/15*o**6 + 4. Find i, given that f(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*g + 12934 = -14650, 0 = 2*q - 4*g + 18416. Let k = 3909152\/425 + q. Let u = k + -172\/425. Which is the closest to u? (a) 3 (b) 0 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23899 is divided by 2136?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 5\/4 (c) -1 (d) -108 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 1:42 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 67)*((-75)\/(-6) + -13)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l = -3*a + 45, -3*l - 7 = -a. Suppose -5*w - j + a = -0*w, -2*w + 16 = -5*j. Solve 3*x + 7 - 25 = -w*p, 5*x + p = 18 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a century?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a**2 - 2*a**2 + 11*a**2.\nAnswer: 21*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5 + 13*l**4 + 12*l**3 = 0. What is l?\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2\/5 + 108*y\/5 + 1458\/5 = 0. Calculate y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 11) in base 10?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*(-10)\/20 - (1 + -9). Let o(c) be the first derivative of c**2 + 1. Let s(w) = -w. Let k(j) = g*o(j) + 7*s(j). What is k(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*q**2 - 83*q**2 - 91*q**2 - 80*q**2 + 336*q**2.\nAnswer: 13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -67, -72, -77?\n\"Answer: -5*l - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**3 - 4*b**2 - 8*b + 15. Let d be c(2). Let q(z) = -z - 2. Let l(n) = -n**2 - 1. Let u be l(-1). Let p be q(u). Solve -2*t + d*t = p for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 4320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/(-8*(-187)\/272)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3455*m - 3459*m + 13825*m - 3459*m - 3453*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -57*t + 3. Let s(o) = -56*o + 2. Let w = 5 - 1. Let g(r) = w*s(r) - 3*i(r). Let d be g(-1). What is d rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -193*z - 210*z + 1 - 1 + 369*z. Let n(c) = c**2 + 14. Calculate d(n(k)).\nAnswer: -34*k**2 - 476","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 27, 1, -4, 6988, 2 in ascending order.\nAnswer: -5, -4, -3, 1, 2, 27, 6988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 1:40 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0087927 centuries in millennia?\nAnswer: 0.00087927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -208*g**2. Let m(k) be the first derivative of -3*k**2\/2 + 2*k - 6. Let l(o) = 7*o - 5. Let i(y) = -2*l(y) - 5*m(y). What is z(i(s))?\nAnswer: -208*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1895 + 1853 + (-3 - -86).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -5 (c) -2 (d) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 13, d: 6}. Give prob of picking 2 d and 1 x.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-68)*(-78)\/130?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7624 * -2.\nAnswer: 15248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4229271065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(72\/(-28))*(3 - 0). Let i(n) = 9*n - 60. Let s be i(l). Solve -6*q - 15 = s*d - 2*q, 0 = 5*d - 4*q + 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149, 123, 97?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 2*x - 4*h, 33*x - 29*x + h - 59 = 0. What is the remainder when (-126)\/(-2) - 2 - 0 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005649 rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -311 and 0.3.\nAnswer: -93.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -699768.292 - 3.\nAnswer: -699771.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by 928625.\nAnswer: -3\/185725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(75)*1)**2.\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385370943.\nAnswer: 3, 17, 271, 27883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 7*w**3\/6 - 6*w. Let v be (2\/(-2))\/((-4)\/8). Let o(m) = 3*m - 8*m + 3*m. Give v*c(t) + 6*o(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 - 532 - 490*w + 1066 + 490*w - 534.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 3*k - 7, -4*g = 5*k - 18 - 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 7\/9, 0.7, -32, 2\/11, 4, -0.01, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 9*w + 9 + 0*w**3 + 0*w**2 - 1\/4*w**4. Differentiate k(b) with respect to b.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 24 = -0*z + 4*x, 5*z - 2*x = 2. Solve -5*t + 22 = v + 5, 2*t - z*v = 14 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2.1. Let l = 0.1 - t. Let d = 3 - 3.1. Does d = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 5*o**2 + 3*o - 6. Let w be g(4). Suppose -4*a = -a + 9. Let q = a - w. Calculate the remainder when q is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 555874 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t - 2. Calculate y(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47)\/(((714\/7)\/17)\/(4 + 2)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13.2? (a) 58 (b) 5 (c) 311 (d) -2\/9 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 329\/993 - -2\/993. Which is the nearest to -0.2? (a) -3 (b) u (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54116536*u**5 - 27688849*u.\nAnswer: -1082330720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259491.\nAnswer: 3, 67, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 + 2*k**2 - 3*k + 1. Let f(w) = 6*w**3 - 5*w**2 + 8*w - 3. Suppose 2*z + 17 = 1. Give z*r(v) - 3*f(v).\nAnswer: -2*v**3 - v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/8*28\/490*42.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3737568.\nAnswer: 2, 3, 38933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -13*l**4\/4 - 7*l**2\/2 - 8. Find the second derivative of h(z) wrt z.\nAnswer: -78*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.3261 - -11.66. Let q = g + -0.3340803. What is q rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 34.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 + 78. Let b be (-6)\/4*8*u\/(-75). Suppose -6 - 10 = b*y. Which is smaller: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96675992.\nAnswer: 2, 7, 23, 47, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 43*o**3 + 4 - 11.\nAnswer: 43*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 0*r + r**2 + 0 - 8\/9*r**3 - 1\/180*r**5 - 1\/9*r**4. Solve m(l) = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 60.67 from 14349463.\nAnswer: 14349402.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 528192694?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) 6 (c) 3\/8 (d) -74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5\/3 + 6790*y**4\/3 - 13583*y**3\/3 + 2264*y**2.\nAnswer: y**2*(y - 1)**2*(y + 6792)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k + 4502 + 12898. What are the prime factors of k?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 12.5. Which is the nearest to 0? (a) x (b) 0.3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*h + 377 = 0, -3*u - h = -7*u - 373. Let i = u - -96. Suppose -7*w + 129 - i = 0. Solve -4*j + w + 0 = 2*l, 12 = 2*l + j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 578 = 8*v - 758. Let x = -155 + v. Which is the smallest value? (a) -0.4 (b) x (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3671 - 783 = -539*k + 1528 - 53 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -r + 10. Suppose -r*m = 2*m - 8. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 3:57 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((192\/(-64))\/((-1)\/(1\/9)))\/((-6)\/324).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3 + 0 + sqrt(1872) - (-3 + (sqrt(1573) - (sqrt(1573) + -1*sqrt(1573))**2 - sqrt(1573)))).\nAnswer: 5 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1058 - 6*h - 1076 - 1043 + 1061 + 3*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 30 + 9 = -3*b, 0 = 2*b + 5*a + 24 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + n + 0*n - 30 = 0, -3*d = -5*n + 10. Sort d, 3, -4 in descending order.\nAnswer: d, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -29 and 102680?\nAnswer: 102709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*u = 110*u - 70 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8050, 14530, 25330, 40450, 59890, 83650, 111730?\n\"Answer: 2160*d**2 + 5890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6113100 a multiple of 820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-138)\/(-8) - 8\/32 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 1:50 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2))**(-1\/18)*(c**2\/c)**(-4\/5) assuming c is positive.\nAnswer: c**(-31\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1692\/(-141))\/((-12)\/57)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 40*q - 31. What is m(32)?\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - m**2 - 7. Let r be z(0). Let p = -8684 - -86729\/10. Calculate the common denominator of p and r\/(-28) - 41\/(-28).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44293, 62960, 81627, 100294?\nAnswer: 118961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -b**6\/120 - b**5\/60 + 8*b**2 - 3. Let m(c) be the second derivative of p(c). Calculate m(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.161 to one dp.\nAnswer: 8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-12 + 4 + 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of v**6\/6 - v**5\/5 - 3*v**4\/4 + 5*v**3\/3 - v**2 - 36. Factor l(x).\nAnswer: x*(x - 1)**3*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 + 6*a - 7. Determine j(6).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q**2 - 5*q - 78. Give w(-6).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 1572*p - 1327. Does 179 divide z(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6968126265434 + 0.03.\nAnswer: 6968126265434.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 1. Let n be k(-6). Suppose n + 5 = x - 2*a, 5*x - 172 = 3*a. Let w = -3\/287 + 2024\/1435. Calculate the common denominator of w and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*y - 20. Let g be (y\/6)\/((-9)\/(-204)). What is the units digit of 6\/9 + g\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1+-13.262\nAnswer: -14.262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 60 = 7*n. What is the greatest common divisor of n and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u. Let f be ((-4)\/(1\/(-1)))\/2. Let x(g) = 3*g**2 - 8*g**2 + g**f. Determine o(x(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 848008*x**3 - 3*x**2 + 29026*x + 3?\nAnswer: 5088048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 6. Let h(g) = -1031*g - 27815. Let r be h(-27). Solve -2*a = -5*f - r + 5, 4*f = l*a - 16 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, y: 1, d: 1, n: 2}. What is prob of sequence dxn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2102? (a) 1971 (b) -1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 1601*m**2 + 12735*m - 14337.\nAnswer: (m - 1)*(m + 9)*(m + 1593)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i + 13*i - 10*i + 6*i + 10*i.\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**4\/24 + 25*l**3\/6 + l**2. Let v be u(-12). Suppose -5*k + 2*a = -2*a + 3, 4*a - v = -5*k. Solve -k = -o - 6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20492 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 x when two letters picked without replacement from lttalaxttltattaalt.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h - 14 = -4*p - 6, 0 = 2*h - p + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -9 + 8 + 0 + 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t + 32*t + 20*t.\nAnswer: 60*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8465384 and 1940.\nAnswer: 42326920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 2, -11, -3, 1 in ascending order.\nAnswer: -11, -3, 1, 2, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 105, 2673, -1, -0.04 in descending order.\nAnswer: 2673, 105, 2\/9, -0.04, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1080?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -121221 (base 3) to base 7\nAnswer: -1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 - 33 + 72)*(-161 + 319 - 337*c - 158).\nAnswer: -2022*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/5)\/l**(6\/7)*(l\/(l*l*l**(-2)*l))**4 assuming l is positive.\nAnswer: l**(-16\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 32 = 3*y. Suppose 0*p = 3*a - 3*p - 264, p - 337 = -y*a. What are the prime factors of a?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -19. Let o(b) be the first derivative of -1\/2*b**4 + 0*b + 0*b**2 - u + 1\/3*b**3. What is the third derivative of o(l) wrt l?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 - 13*r**2 + r + 71. Determine u(-6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-138)\/25 + (-9)\/(-15). Let c = -2801\/300 - z. What is the common denominator of c and -19\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2576 + 2541 = -7*k. Let d = -5 + 9. Solve 0 = -k*r - 1 - d for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-30)\/135*(-3)\/4\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhmhohmmhohmmjh. Give prob of picking 1 h, 1 j, and 1 f.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58 - 28. Let x(i) = 18*i**2 + i - 1. Suppose -3*f = 5*m - 12, 2*f + 17 = -0*m + 5*m. Calculate the remainder when a is divided by x(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -7*w**6\/30 + 7*w**5\/30 + 1571*w**3\/6 + 2818*w**2. What is the derivative of i(z) wrt z?\nAnswer: -84*z**2 + 28*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.48319 * 6.\nAnswer: 2.89914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)*-2 + 4.\nAnswer: -6*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (1 - -1) + (-27 - -5).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*(-3 + 3*sqrt(2) + 5 + sqrt(10)\/((sqrt(35)*3)\/sqrt(7))).\nAnswer: 3 + 40*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21319767 and 17811.\nAnswer: 21319767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (31 + -19 - 20) + -18 + 76\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 179? (a) -3 (b) -1643 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y**2 - 6*y**2 - 2*y**2 + 6*y**2. Let x(g) be the first derivative of -g**2 + 19. Calculate k(x(v)).\nAnswer: -28*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**2 - 359*d**3 + 19 + 358*d**3 - d**4 - d**2 as v*d**4 + p*d**3 + w*d**2 + i + h*d and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -101101011000010001011000 (base 2) to base 14\nAnswer: -181934c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.49 - 3.76. Which is the second biggest value? (a) m (b) -2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 1*(-4)\/266. Let g = p - 36\/133. Let d = -5.3 - -5. Sort d, -4, g.\nAnswer: -4, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + z - 5. Let y be l(0). Which is greater: y or -6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198890297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 1526.\nAnswer: -3052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2251 = -8*q + 3853. Let n(i) = -i**2 + 23*i + 52. Let j be n(25). Suppose s - j*s = -q. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*i - 52*i + 2*a - 26 = 0, i + 5*a = 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 341 divide 550374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b**2 - 1 + 1)*(4*b - 43 + 43) + 5*b**2 - 5*b**2 - 14*b**3 to f*b**2 + r*b**3 + i*b + v and give r.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4367 and 8371.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 553998580 and 380?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4)*(-32)\/18. Which is bigger: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36690.\nAnswer: 2, 3, 5, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/734324 and 103\/5120?\nAnswer: 939934720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47888?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1034)\/282*6\/(-22)*-18?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0093008 to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1572.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139671*j**3 - 139679*j**3 + 0 - 2 + 2.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4*sqrt(66)\/(sqrt(6) + sqrt(24)) + -5 + 3 + (sqrt(11)*2 - sqrt(11)))**2.\nAnswer: 14*sqrt(11)\/3 + 548\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 + 80*l - 347. Give m(-44).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -2*t**4\/3 - 7*t**2\/2 - 5*t. What is the derivative of u(d) wrt d?\nAnswer: -16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 290\/(-290)*14\/(-10)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -13481073*v - 2682. Let p(d) = 20121*d + 4. Give -2*j(r) - 1341*p(r).\nAnswer: -20115*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4 - 4\/8. Let o(l) = -26*l**3 - l**2 - l. List the prime factors of o(q).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 o, and 1 g when three letters picked without replacement from doddodooohggghlxxox?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -20*r**2 + 322*r - 32. Give t(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61329 divided by -93.\nAnswer: 20443\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.5*88.\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5252624944.99999981 + 5252624968. Let x = -6 + -17. Let s = k + x. Round s to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -2969, 2.\nAnswer: -2969, -39, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226 divided by 3831.\nAnswer: 226\/3831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3986, -5970, -7954, -9938, -11922?\nAnswer: -13906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*b - 1422 = 0, 5*b - 1470 = -4*l - 0*b. Calculate the remainder when l is divided by 338.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3842745km in millimeters?\nAnswer: 384274.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24a - 1?\nAnswer: -24b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1710 in -2\/5, -1, 1.45?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.837 + 4.024. Round w to 1 dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -402 - -631. List the prime factors of c.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(-1)*6\/21. Does 23 divide (-430)\/(-4) - (m - 6)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19641, 39341, 59113, 78957?\nAnswer: 98873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 240893473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2 + 5 + 5*l**3 + 3. Let m(b) = 4*b**2 - 257*b - 201. Let o be m(65). Let p(t) = -10*t**3 - 11. What is o*p(i) - 11*u(i)?\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333*d = -337*d + 3*k + 29, 2*d = -3*d + 6*k + 43 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190617?\nAnswer: 3, 7, 29, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a micrometer in nanometers?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363809 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 2. Suppose a = 4*s + 20, -3*a - s = -a - 31. Calculate the remainder when a is divided by h(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112903, -225812, -338721?\nAnswer: -451630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 227052 and 48.\nAnswer: 908208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 3*g - 8115, -8*r + 2*g + 10826 = -4*r. What is the thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 12:46 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-9)*q\/q**(-4))**(-43) assuming q is positive.\nAnswer: q**(-645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + r + 4*r = 1, 2*l - 5*r = 17. Let t = 15 - 36. Let a be 4 + 7\/(t\/6). Solve -4*u = 2*f + 3*f + l, a = -f - u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.1784 rounded to 0 decimal places?\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 11:13 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {m: 2, j: 18}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1062 divided by 177\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4281 divided by 3?\nAnswer: 1427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 733040 and 140?\nAnswer: 733040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*n - 24 = -32*n. Suppose -n = 3*u - 14. Find the second derivative of 15*p**2 - 7*p**u + 10*p - 7*p**2 + 7*p wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4044 and 204.\nAnswer: 68748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (-49 - (-67 + 17))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (4 + -2*sqrt(11) - sqrt(11))**2) + 5.\nAnswer: -110 + 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -83167b (base 13) to base 15\nAnswer: -406710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41731286.\nAnswer: 2, 20865643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66968, -46834, -26700, -6566?\nAnswer: 13568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 423*h**2 - 303*h**2 - 38*h**2 - 40*h**2 - 40*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-5))\/((432\/40)\/(-27)). Which is smaller: f or 2\/383?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.115 + -6.415. Let j = -6 - f. Put 2\/5, j, -4 in ascending order.\nAnswer: -4, j, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 + 57 + 0*a + 2*a - 91*a**3 - a**3 - 30 to n + c*a + m*a**3 + f*a**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - h = 0, -2*v - 24 = -3*h - 2*h. Let k = v - -8. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1204686 divided by 6\nAnswer: 200781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (52\/10)\/(5\/(-75)*-3). Suppose -j*n + 17*n + 1215 = 0. Calculate the greatest common divisor of 15 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/19153 + 12123833\/153224. Is d < 80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -803, -802, -801, -800, -799, -798?\nAnswer: -797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/2953 + 209611\/76778. What is the common denominator of -53\/28 and j?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -39, -74, -107, -132, -143, -134, -99?\n\"Answer: x**3 - 5*x**2 - 27*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**3 + 43*b - 10. Give m(-8).\nAnswer: 1182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4586572 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, l: 2, a: 1}. What is prob of sequence all?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 409 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: Calculate the smallest common multiple of 48 and 27.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(2*sqrt(91) - sqrt(91)) + sqrt(91) - sqrt(91)) + -3*sqrt(91)*-2)\/((sqrt(21) - sqrt(1029)*6)\/sqrt(3)) + 5.\nAnswer: -11*sqrt(13)\/41 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 0.64 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 12 + 28 - 8 + 2*c.\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4 - 48 = 0. Let q = t - -22. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and ((-4)\/5)\/((-3)\/(-7 + 37)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4425948211 to the power of 1\/3, to the nearest integer?\nAnswer: 1642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -413, -837, -1261, -1685, -2109, -2533?\nAnswer: -2957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42114362 and 44714.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 6*m**2 - 1\/60*m**5 + 0*m - 4\/3*m**3 + 0 - 5\/24*m**4. Calculate h(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -349*p - 10 - 23 + 33 to s*p + q and give s.\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 178642510 and -0.11.\nAnswer: 178642509.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -3. Suppose 4*o = o + 18. Let v be (-7)\/14*4\/o. Which is bigger: v or i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184684572 is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 51 in 17, 2, 5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425) + 2*sqrt(425)*-4.\nAnswer: -35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -3, 2, -2, 253 in descending order.\nAnswer: 253, 2, -2, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1142 - 1143 + 193*z**3 - 1080*z**3.\nAnswer: -887*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 10506064*z + 3. Let i(x) = -7*x. Determine i(m(f)).\nAnswer: -73542448*f - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -l**4\/30 + 8*l**3\/15 - 16*l**2\/5 - l - 21. Let u(o) be the first derivative of s(o). Factor u(c).\nAnswer: -2*(c - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17929, 17902, 17849, 17758, 17617, 17414, 17137?\nAnswer: 16774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 10. Which is the second smallest value? (a) 2 (b) -1\/2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjjqqjqqqqq. Give prob of picking 1 j and 1 q.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = 4*l + 5*y, y = 2*l - 0*y + 53. Let z = -4 - l. Suppose -2*t = -0*t - 2, 5*t - z = 3*d. Which is greater: -3 or d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*p**6 - 16727393*p**4 - 325467255*p**2 wrt p.\nAnswer: 720*p**3 - 401457432*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -5*n + n**2 - 6 + 1\/3*n**3. Give j(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5\/2)\/t*t**(2\/3))\/((t*(t\/((t*t**(1\/11)*t)\/t*t))\/t*t)\/t*(t*t**(-8\/7)\/t*t)\/t) assuming t is positive.\nAnswer: t**(-277\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 882\/(-306) - -3 - 9404\/(-1564) - 6?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/(11 - 5))\/(-3). Solve j = 2*y + 8*y + 50 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-16)\/8))\/(2\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d - 2 + 2 + 1 - d - 2*d + d + (2*d - 2 + 2)*(-5 + 3 + 0) to the form r*d + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12668 minus 22?\nAnswer: 12646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16095 divided by 2?\nAnswer: 16095\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**2 - 3*x**2 - 2*x**2. Let i(m) = -m**2. Calculate k(i(d)).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4511*x + 145042 = 3401*x - 298030 for x.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + l + 415 = 0, -l - 310 = -6*d + 3*d. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2 + 3*q + 5. Let i be r(4). Let k(m) = 7*m + 127. Let d be (36\/(-16))\/(1\/8). Let v be k(d). Sort v, i, -4 in decreasing order.\nAnswer: v, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11715 and 1043295?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/716820 and -151\/78000.\nAnswer: 71682000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 8)*(0*h + h - 3*h + (2*h - 4*h + 4*h)*(1 - 1 - 1) - 2 - h + 2 + h + 5*h - 4*h)*(-h**4 + 2*h - 2*h).\nAnswer: 18*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 2:15 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2004*i + 1582*i - 7093 = -341 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 3. Suppose -5*m - 5*u = 0, -m - 8 = -2*m + u. Suppose -m*n + 5 + 6 = -d, -9 = 3*n + 5*d. Let g be -3 - -3 - (-10)\/n. What is t(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.144944 micrograms in milligrams?\nAnswer: 0.001144944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17815 is divided by 119?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -158bd6 + -12?\nAnswer: -158c08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 627508 from -16.\nAnswer: -627524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 8*s + 6. Let q(a) be the second derivative of -a**3\/6 - 4*a**2 - a. Let r be q(0). What is the units digit of d(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(1\/7)*b**(-9\/5)\/b assuming b is positive.\nAnswer: b**(-68\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/(-152) + 6106\/8550. Let x = p + -2\/225. Sort 0, x, -1, 4.1.\nAnswer: -1, 0, x, 4.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 959492*c**2 + 16362*c wrt c?\nAnswer: 1918984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 7:13 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 equal to -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*f - 178722 - 20028. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (-93)\/((-6)\/2). Let i be ((-1)\/(-9))\/((-11)\/p). Let s be (-34)\/(-24) - (54\/(-8))\/(-9). What is the closest to s in i, -0.2, -6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 725 = 4*d + 20, -d + 186 = -2*n. What is the remainder when d is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/(-3136)*(1 - (-8 + 5)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + ((sqrt(65) + (sqrt(65) - (sqrt(65) + 2*(sqrt(65) + sqrt(65)*3) + sqrt(65))))\/((sqrt(405) - (sqrt(405)*3 + sqrt(405))) + sqrt(405)))**2*5) + -1.\nAnswer: -2485\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6*c + 61. Give i(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1 - -0.9. Let w = -16.05 + 16. Which is bigger: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 397 = 3*j + 391, 2*d + 41*j - 13 = 69 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 12670.593 months?\nAnswer: 105.588275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -9. Suppose -4*x - 8 = i*q, -14 = q + 2*q + 5*x. Suppose 10 + 8 = q*y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 456657 (base 8) to base 16\nAnswer: 25daf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14810021*r**5 + 238978561*r**2 wrt r?\nAnswer: -888601260*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -426, -1\/4, 1484, 0.3 in descending order.\nAnswer: 1484, 2\/5, 0.3, -1\/4, -426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 1:20 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -42 - m**3 + 46 + 0*m**3 - 4*m**2. Suppose 3*r = 4*r + 3. Give i(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 114, 132, 166, 222, 306, 424?\nAnswer: 582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -25846 at least -26063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1 + 1 = 0. Calculate the remainder when 3*16 - (v + 0) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 5 = -3*f + 5*s, 2*f - 2*s - 12 = 0. Let d(m) = 7*m + 0 - 5 + 22*m**2 - 10*m**2. Is d(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -11*j - 60. Let c be 9 - -8*2\/j. Let w(i) = -2*i**2 - 7*i + 1. Let p(x) = -2*x**2 - 6*x + 1. Calculate c*w(z) - 6*p(z).\nAnswer: 2*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3741 > -48618\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -24, 4 in descending order.\nAnswer: 4, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 5, -75, -99, -5, 0 in descending order.\nAnswer: 29, 5, 0, -5, -75, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*t = 37 + 26, -5*r = 4*t - 106. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100002 + 212202211?\nAnswer: 220002220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15980 divided by -10?\nAnswer: -1598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-12))\/((-2)\/(-16)). Sort c, 0.8, -0.4 in descending order.\nAnswer: 0.8, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26 and -1.8?\nAnswer: 46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9702610 minus -1463624?\nAnswer: 11166234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10368 + 295*m - 3952 - 3321 - 3705 + 5*m**2.\nAnswer: 5*(m - 2)*(m + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 15 = -3*z, 0 = -k + 5*z - 29 + 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/324)\/5*9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 44*n - 3044. What is s(31)?\nAnswer: -719","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9181595 to the nearest integer?\nAnswer: 3030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -25729.3674 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 4, -d - 21 = -5*w + 9*w. What is the second biggest value in w, 51, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105221200 (base 6) to base 10.\nAnswer: 1931328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 381 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -2, 2\/3, 63, -1, -0.033?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(33)\/sqrt(3) - (1 + sqrt(99)*-3))**2.\nAnswer: -24*sqrt(11) + 1585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, i: 2, a: 1, r: 2, t: 3, p: 2}. Give prob of sequence yi.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 4, -1, 21, -105 in decreasing order.\nAnswer: 21, 4, 0, -1, -2, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/34 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5789\/49 - 2\/14. Suppose z = 3*q + 1. What are the prime factors of q?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -871\/230 - -37\/10. Suppose 9*b - 4*b + 3*h = -14, 0 = -5*b + h - 22. Sort -1, f, b.\nAnswer: b, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**5\/8 - 15*f**4\/2 + 1031*f**3\/8 - 286*f**2 - 9633*f\/2 - 4394 = 0. Calculate f.\nAnswer: -4, -1, 13, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 812*y + 623. Let j be m(12). What is the greatest common factor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -8*f**3 - f. Let g be k(1). Let t be 2\/(-6) + 24\/g. Let s = -1547\/15 - -103. Put 3, t, s in decreasing order.\nAnswer: 3, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2710 - 191?\nAnswer: -2901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*m - 2880697 = -217*m + 1603793. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 631 = 3*v + p, -3*v + 2*p + 641 = 0. Suppose -4*u + v = 1. Is u a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47733?\nAnswer: 3, 7, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1696.955 decades in millennia?\nAnswer: 16.96955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -8*a**4 - 4*a**3 + 100*a**2 - 48*a = 0.\nAnswer: -4, 0, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -3413 (c) -0.01 (d) 370\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 16. Solve u + u = -k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 9*w + 27 = 0. Let x(m) = 2*m + 12. What are the prime factors of x(w)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*o. Suppose 2*d - 12 = 3*k, 5*k - 3 = 2*k - 3*d. Sort k, -13, o.\nAnswer: -13, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -0.1. Let j = -0.3 + -0.7. Suppose 0 = -a - 4*r - 0*r + 9, 0 = -4*a + 5*r + 15. What is the closest to j in a, i, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -505119*g**2*z - 52270068*g**2 - 6*z**2 wrt z.\nAnswer: -505119*g**2 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3.37 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 13*y**2 + 4*y + 4. Let m be w(8). What is the common denominator of -70\/33 and (m\/(-8))\/(2 + 219\/(-6))?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*v = 207, v + 231 = d + 3*v. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1949b2 (base 14) to base 10\nAnswer: 896464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - (-39330)\/2565*(-6)\/(-4)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**2 + 4*r**2 + r**4 + (4*r**2 + 2*r**2 - 4*r**2)*(-19 + 3 + 0)*(-r + 6*r - r)*(12*r + 30*r - 8*r).\nAnswer: -4351*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -7, 8 in decreasing order.\nAnswer: 8, 5, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*j + 58*j - 26*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/2, -91\/4, -2, 1\/4, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17\/13087 + -604195\/1688223. Find the common denominator of 1*(34\/(-4) + 0) and b.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j**(-2\/17)*j)\/j*j)\/(j\/j**(1\/11)*j))**(-46))**(28\/9) assuming j is positive.\nAnswer: j**(6440\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i + 46. Let s be h(-6). What is the greatest common factor of 16 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k - 32 = 12*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 102 - -381. Let z = f - 1451\/3. Which is the third biggest value? (a) z (b) 2\/7 (c) 1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 7. Let j(r) = 3 + 2*r**2 - 80*r - 80*r + 165*r. Give j(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -9*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3510 and 77568660?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 17. Let l = -8089 + 8075. Determine j(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -58*k**3 - 7*k**2 - 57*k - 40. List the prime factors of y(-6).\nAnswer: 2, 19, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3209 or -1\/2?\nAnswer: -1\/3209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (-1 - (-131591)\/(-155)). Let w = j - 4316\/5. Let f = -23\/310 + w. Find the common denominator of 73\/4 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2406192 is divided by 101.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*r + 1539 - 834 = -26*r - 1059 for r.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -5 + 4 + (3 - (-3 - -1)) + -25.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/25104367 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.10506234 rounded to 0 dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2587 (base 16) to base 14.\nAnswer: 3703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*w + 17654 = 17842 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 112742563 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-5) - (-2784)\/140. Let l = -817\/42 + y. Let f = -1960\/3 + 654. Which is the nearest to f? (a) l (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from leelllellclllkcllcll. Give prob of picking 1 e and 1 k.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 3, o: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - ((-1224)\/15 + 36\/(-90)). What is the highest common divisor of 913 and f?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from {c: 2, y: 4, b: 1, w: 2, o: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*m + 4*z + 46, 7*z + 2 = 5*z for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 51285283 to the power of 1\/2, to the nearest integer?\nAnswer: 7161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vvdvvvvvvvvvnvvv.\nAnswer: 91\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/2, 974, 2\/15, 0.2, -0.04 in increasing order.\nAnswer: -3, -0.04, 2\/15, 0.2, 1\/2, 974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 471319 and 18004.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69549?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32931 or 32940?\nAnswer: 32931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -69\/2*a**2 + a**3 - 230 + 66*a. Factor j(m).\nAnswer: 3*(m - 22)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506365 is divided by 526?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4705997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 1 = -3*j. Suppose -5*c - s + 18 = 0, -j*s - s - 4 = c. Find the third derivative of -4*i**4 + i**4 + 2*i**2 + 4*i**c wrt i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 3:38 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**3 - 16*k**2 - 19*k + 11. Suppose 0 = 4*u + 21 - 109. Let o(l) = l**3 - 4*l**2 - 5*l + 3. Let a(r) = u*o(r) - 6*b(r). Factor a(m).\nAnswer: 4*m*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and 28.4533.\nAnswer: -22.76264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000166837536 rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from npppnnnpppppnppppnn.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12039517 is divided by 6019754.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(5\/12)\/y**(-17) assuming y is positive.\nAnswer: y**(209\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 14*x - 24. Let o be f(12). Suppose -8*s + 7*s + 116 = o. Let l = s + -8. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 270 and 3423870?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4315*v**2 + 4*v + 2. Suppose 0 = -5*j + 2*w + 11, 2*j + w + 2*w + 7 = 0. Is f(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/8*-6 + 1\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01166*5.\nAnswer: 0.0583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 102928.65 times 5?\nAnswer: 514643.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1275 = -2*t - 0*t, 0 = -3*f - t + 3790. Suppose -2*o - 5*g = -1773, 3*o - 1402 = -5*g + f. Suppose n = b - o, 0*b + 3*b - 2652 = -3*n. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0*m - 2*m - 83 = 0, -5*m = 2*z - 68. Let o = z + -8. What is the remainder when 102 is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -397308 divided by 1172?\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -205.1?\nAnswer: -82.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-15)\/(-65) - (-73655)\/3900) + -16 and (-689)\/210 - 4\/14.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(85) + sqrt(85) + -1*sqrt(85)*-4)*2)\/(sqrt(45)\/sqrt(729) - sqrt(35)\/sqrt(175)).\nAnswer: 810*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54003?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15161.25817666 and -2.\nAnswer: -15163.25817666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 8*r**2 + 31. Calculate the remainder when f(-8) is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1279*-22.43\nAnswer: -28687.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j + 3*j - 5*j)*(10*j - 18 - 10*j + j) as h*j**2 + z*j + o and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -29. What is the remainder when (-2)\/(-5) - (-103)\/5 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d - 8. Determine u(-11).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(128\/20))\/((-5)\/2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 0*c**2 - c**3 - 1 + 4*c - 3*c - 4*c**2. Suppose -2 = n - 6. Suppose -5*o + n*p + 1 = 0, -p - 3*p = 16. Give x(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 3*j - 3 + (2*j + 2 - 2)*(1 - 3 - 7) + 10*j + 35 - 35 to k + o*j and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2. Let y(p) = -p**2 + 2. Suppose 22 = 4*f - 6*f. Let j(d) = -1 + 2*d**2 - 10 + 4*d**2. Let t(v) = f*y(v) - 2*j(v). Give g(t(u)).\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b. Let y(o) = -4*o. Let s(k) = -k. Let h(l) = 3*s(l) - y(l). Determine -9*h(a) - 2*x(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*n - 8*n - 3*n - 13*n - 5*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.646344823 to two decimal places.\nAnswer: 0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.3, -0.5, -11\/3, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -33*c**2 - 6*c + 5. Calculate r(1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*sqrt(228)*3 + (sqrt(228) - -2*sqrt(228)*-5) + sqrt(228))\/(sqrt(84)\/(1*sqrt(49)\/sqrt(7))).\nAnswer: -11*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(162) + 3) - sqrt(24)\/(sqrt(972) - sqrt(12))*-1)**2.\nAnswer: 3879*sqrt(2)\/2 + 196129\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 h when three letters picked without replacement from {h: 1, w: 11, e: 2}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 896323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -12*a**3 + 33*a**2 - 33*a + 6. Let u(j) = -34*j + 7 - 91*j**3 + 33*j**2 + 79*j**3 - 2. Let s(y) = -3*u(y) + 4*x(y). What is l in s(l) = 0?\nAnswer: 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 14*c**2 - 11*c + 12. Calculate d(14).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -133 - -138. Let q(x) = -193 - x + 0*x + 205. Determine q(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 14*s - 15. Calculate d(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-10)\/9)\/((-912)\/(-2736)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, a: 5, r: 2, j: 10, k: 1, q: 1}. What is prob of picking 2 r, 1 q, and 1 i?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1273 - 561 = 61*s + 545 for s.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 29*c**2 - 14*c + 412. What is s(-28)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-47)\/(-15))\/(4\/(-12)) and 51\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00027699 to six dps.\nAnswer: -0.000277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341 > 1341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2513.\nAnswer: 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8538328 is divided by 2734.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - (-5 + 5)\/(3*(-5)\/15). Sort 5, -2, -25, g, -13 in descending order.\nAnswer: 5, -2, g, -13, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, s: 6, k: 1, f: 3}. Give prob of sequence skg.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l**2 - 40*l + 31. Give u(-11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156462 and 534.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g + 5*g - 3*g)*(-74 + 5*g + 74) + (2 - 2 - 2*g)*(-6*g - 1 + 1) - g + g**2 + g as u*g + c*g**2 + k and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**6\/40 - 17*l**5\/20 + 11*l**4\/8 + 605*l**3\/2 + 2*l**2 + 85. What is w in y(w) = 0?\nAnswer: -5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68225721 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(14)\/sqrt(8).\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5156369 to 2 dps.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 3*m + 20. Solve 5*k - k - m = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**0)**(-14))**(-28)\/(((v**(2\/7)*v)\/v*v\/(v*(v**(2\/7)\/v)\/v*v*v)*v*v)\/(v**(-4)*v*v**(2\/17)\/v)) assuming v is positive.\nAnswer: v**(13228\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.027 times -175051\nAnswer: 4726.377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -15 (c) 1 (d) -1 (e) -0.1 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.02 + -0.02. Let o = 452 + -470.3. Let g = o + 18. Put p, 2\/3, g in descending order.\nAnswer: p, 2\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 688 = 3*i. List the prime factors of i.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 4.7, -3\/8, 170?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 2*j - 13 + 8 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) 39587859 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24051254 - 6?\nAnswer: 24051245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45.4 - -42. Let b = -3.447 - x. Round b to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 1. Let h(t) = -2*t + 26. Let k(z) = h(z) - 5*m(z). Let c be k(9). Solve -16 = -j - c*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3003 + 10?\nAnswer: 3013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2147 + 2813. Calculate the greatest common factor of 90 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052 divided by -526?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153205805?\nAnswer: 5, 103, 297487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfmfmcfmffmfmf. What is prob of picking 3 f?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 8:13 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*l - 40, 4*f - 193 = 8*l - 7*l. Solve -57*y = -f*y + 24 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 9*w**2 - 2*w + 10. Let s be m(9). Let n be -5*s\/30*3. Factor -6*i**3 + 4*i**n - 4*i - i**5 + 3*i + 4*i**2 + 0*i + 0*i.\nAnswer: -i*(i - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-4))\/(2\/(-3)). Suppose -14*o + 16 + 68 = 0. Let f be o\/22 + 57\/209. Put b, f, -0.4, 5 in ascending order.\nAnswer: -0.4, f, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, s: 2, j: 1, i: 1, p: 1, k: 2}. Give prob of picking 1 x and 1 k.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3005174584?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 1\/31, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y**2 + 15*y - 36. Let r be u(3). Calculate the greatest common divisor of r and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a5 + -1e?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 3*r**2 + 7*r - 2. Let d be a(-5). Let u(i) = -5*i + 12. Let q be u(-5). Suppose 4*j - q + d = 0. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -134 - -123. Let z(x) = x**3 + 12*x**2 + x - 17. Is z(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 21*r - 2. Let f(y) = -2*y**2 + 22. Determine f(m(j)).\nAnswer: -882*j**2 + 168*j + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*f + 17*f + 19*f)*(3 - 2 + 0)*(4 + 0 - 3 - 3*f).\nAnswer: -39*f**2 + 13*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7714\/261 + (-8)\/(-18). Suppose -66*u = -63*u - s. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - 0 - 2 - -4. Suppose 7 = 3*g - h, b*h = -4*g + 4*h + 8. Let a(c) = -g*c - 1 + 3 + 6 - 7. Give a(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 11:15 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.654 to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -0.06 (b) 28 (c) -3 (d) 1 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u**2 - 11*u. Let f(p) = 5*p**2 + 11*p. Let z(l) = -5*f(l) - 6*n(l). Is z(6) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, z: 1}. Give prob of sequence ssz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2476 and 22.\nAnswer: 27236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, w: 1}. What is prob of picking 2 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1813 is divided by 899?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-258240)\/1883)\/(((-9)\/(-3))\/(-21)). What is the highest common factor of h and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/i**(4\/3)*i)*i**(2\/7)*i)\/((i*i\/(i\/(i\/(i*i*i*i**0*i*i))))\/i*(i*i**(-1\/13))\/i*i) assuming i is positive.\nAnswer: i**(1009\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, h: 1, d: 4, k: 2, b: 2, w: 2}. Give prob of picking 1 b and 1 h.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/87 and 8\/1653?\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8.559341m?\nAnswer: 8559.341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**2. Let j be (-24)\/300 - (-54)\/50. Let l(n) = -n + 1. Let z(t) = -t**2 - 4*t - 20. Let q(u) = j*z(u) - 4*l(u). Calculate c(q(r)).\nAnswer: 5*r**4 + 240*r**2 + 2880","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65\/42 + 12\/7. Let w = u - 19\/42. Let q = 0.454 + 0.046. Which is the fourth smallest value? (a) q (b) -3\/4 (c) -5 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 859164295?\nAnswer: 5, 11, 29, 43, 12527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 + 55. Solve -2*i + 3*i + j*x + 5 = 0, 2*x + 20 = -4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d + 266 - 341 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*z + 99 = -213 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.533794nm in micrometers?\nAnswer: 0.000533794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -17\/2, -4, -0.8.\nAnswer: -17\/2, -4, -0.8, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiinnnqiqqiqiq. Give prob of picking 2 n and 1 i.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5691489392?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (151*a**2 + 123*a**2 + 8*a**2)*(47 - 47 + 7*a**2).\nAnswer: 1974*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*1*8\/4. Suppose x = 2*n + 4. Differentiate 1 + p - n + 2 + 2 wrt p.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, p: 4, t: 2, f: 2}. Give prob of sequence xt.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -20.76. Let m = i + -3.24. Let z = m - -3.0000023. What is z rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -181748*v**6 - 4*v**3 - 14740*v**2 - 42?\nAnswer: -21809760*v**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 263 divided by -6?\nAnswer: -263\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -13*k**2. Let r(v) be the second derivative of -v**4 + v**2 - 489*v. Calculate r(c(i)).\nAnswer: -2028*i**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/13*a**3 + 0 + 0*a - 8\/13*a**4 - 4\/13*a**2.\nAnswer: -2*a**2*(a - 2)*(4*a - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f - 2 + 2. Let k = 2373 - 897. Let n(v) = -1476 + k + 2*v. Determine a(n(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 9. Let j be u(4). Suppose 5*d = 2*p + 145 + 80, -j*p = -4*d + 180. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-7 + (2 - (1 + -1)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 384683, 1538735, 3462159, 6154955, 9617123, 13848663, 18849575?\n\"Answer: 384686*t**2 - 6*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52588 * 3.3.\nAnswer: -173540.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1721*q**2 - 5327*q**2 + 468*q**2 + (-q + 2*q + q)*(-q + q - 2*q).\nAnswer: -3142*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**2 + 492365*u - 46326490 = 0. Calculate u.\nAnswer: -98567, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -123553, -123506, -123465, -123430, -123401, -123378?\n\"Answer: -3*x**2 + 56*x - 123606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156)*1 + sqrt(156))*-3)\/(sqrt(8)\/sqrt(32)))\/((sqrt(3) - -3*sqrt(3))*6 + (sqrt(3) - sqrt(18)\/sqrt(6)*1)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-2))\/(-4 + 6). Let l be (2 - 16\/v)*-22. What is the greatest common factor of l and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -0*x. Suppose -2*h = g - 5, x*h = -3*h. Suppose 0 = g*j - 4*r + 11 - 65, 4*j - 76 = -5*r. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 170.636, -4, 2\/7?\nAnswer: 170.636","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 393112 divided by -98278\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-44000)\/(-6)*(-45)\/(-6). Suppose -2*i - 3*i - c = 0. Round i to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5698, -5709, -5720?\nAnswer: -5731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/8*1)\/(-21*2\/(-24))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 2*g - 400, 3*w + 5*g + 286 = -0*g. Let k = 105 + w. Solve -b + 2*b + k = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 15556250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 1\/7 (c) 3108\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 8 (b) -2\/15 (c) 4\/5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -23024+28467\nAnswer: 5443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2771 - -2806. Solve 32*f + 3 = u*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.5 - -8. Let i = 5575.921 + -5572. Let p = -0.079 - i. Which is the fourth biggest value? (a) 0.4 (b) g (c) p (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3978760 and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2478 - -0.18086. What is h rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 72, k + 84 = -5*f + 28 + 27 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 12708*u**3 - 4*u**2 - 21*u + 24. What is the ten thousands digit of a(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 2*v - 6. Let j be m(4). Let u be (-4)\/(-8) - (1 - j\/(-4)). What is the tens digit of -1 + u + 1 + 105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10686 - 7225 - 9221 = -969*x for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*k + 27*k + 210*k = -28196280000. What is k rounded to the nearest 1000000?\nAnswer: -84000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -166*(0 + (-6)\/12). Let a = x - 79. Calculate the least common multiple of 50 and a.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.638 rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in nine tenths of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -3. Let f(t) = 7*t + 1. Let w be f(c). Let u(k) = -k**3 + 4*k**2 + 8*k - 5. Let d be u(5). Solve 8*z - 3*z - w = x, 2*x + d = 4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n - 10. What is the remainder when q(14) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 619\/5699 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + (7 - 6 - -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 4. Let t(d) = -1. Let u(k) = -2*t(k) - z(k). Let m = -928 + 950. Suppose -m*v + 150 = -47*v. Calculate u(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 6.2 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 22*b**2 - 4*b + 95. Let r be v(22). Let i(s) = 2*s + 5. Let z(g) = -g - 2. Give r*z(o) + 3*i(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 345955*b - 12807180.\nAnswer: 5*(b - 69228)*(b + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqqqvqvvqvvvqqvvqqv. What is prob of picking 1 v and 3 q?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a - 10. Let b be y(3). Let g be b*(-57)\/(-90) + 4\/(-6). Solve 1\/5*q + 0 + 3\/5*q**3 - g*q**2 - 1\/5*q**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, e: 1, d: 1, p: 1, i: 1}. What is prob of picking 1 i and 3 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -452 from -29.\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 684011173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**(-22)\/((g**7\/g)\/(g\/(g**3*g))) assuming g is positive.\nAnswer: g**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 + 2*r - 1. Let h be o(1). Let p(k) = k - 2*k - h - k**3 + k**2 + 7. Give p(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.134*0.15\nAnswer: -0.0201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 20*s**2 - 26*s + 91. Let n be p(21). What is the second biggest value in 2, -5, n, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 7018?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 5:04 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 26068551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 3*c**2 - 2*c + 1. Let t be a(-3). Suppose k = g + t, k + g + 4*g = 1. What is the least common multiple of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/123 and 4 + (-758592)\/(-75768) + -14.\nAnswer: 9471","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*747\/(-12)*(14 + -18). Let p = k + -205. Suppose -5*m = -5*l - 100, 3*m - 52 = m - l. Calculate the remainder when p is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/4 - 20222655*x.\nAnswer: -3*x*(x + 26963540)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 - 78 - 88 - 29*r + r**2 = 0. What is r?\nAnswer: 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.20281 + 0.20281. Let c(b) be the third derivative of b**5\/60 - b**4\/4 - b**3\/3 - b**2. Let f be c(6). What is the closest to 0 in k, -9, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -1821*r**2. Let t(i) = -i**2. Determine d(t(m)).\nAnswer: -1821*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -59 (b) -1\/6 (c) -0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -1001000110000?\nAnswer: -1001000101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 282405171 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 78*o**2 + 2944*o + 32428. Determine k(-17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*h - 208*h = 837 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**2\/4 - 23556*l + 282645\/4 = 0.\nAnswer: 3, 31405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1032 + -1032.08. Let v = -3\/19 - -72\/95. What is the closest to n in v, 2\/5, -2\/7, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f**2 - 3*f**2 + f**2)*(2 + 3 + 1 + 1 - 1 + 1 + (0 + 1 + 1)*(-3 + 3 + 1) + 3 + 2 - 1) + (f + 4 - 4)*(1 - 1 - f) to r*f**2 + h + x*f and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 + 62 = u. Let m(w) be the first derivative of -1\/3*w**3 + 0*w**4 + 0*w + 0*w**5 - 1\/3*w**u + 0*w**2 + 4. Find the third derivative of m(h) wrt h.\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 14) to base 3.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/28 and 131\/468?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/31 and 82\/3088065.\nAnswer: 3088065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 85 = -3*p - 5*b, 3*p - 5*b + 225 = 0. Suppose 0 = -2*w - 31 - 65. Let k = w - p. What is the least common multiple of k and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8.73077cm?\nAnswer: 0.0873077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3292*a**2 + 5306*a wrt a.\nAnswer: 6584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163 + 12539*s + 5123*s - 175 + 1407*s + 340.\nAnswer: 19069*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -19\/8, 36.47, -2\/19, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from ylylyyyylyryylry.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 518181645?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = a + 6, -a + 4*a = 12. Suppose r = z*r - 20. Let q = r + -12. What is the least common multiple of q and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1101 is divided by 45.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102654 and 351.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 - 49*s + 109. Let n(u) = 3*u**2 - 97*u + 219. Let q(r) = 5*j(r) - 3*n(r). Differentiate q(v) wrt v.\nAnswer: 2*v + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 5. What is the closest to 0 in -4, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7944 and 5245688.\nAnswer: 15737064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2344408980?\nAnswer: 2, 3, 5, 39073483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 8*h**2 + 8*h - 3. Let y be w(9). Let z be (-52)\/y + (-3)\/9. Let a be (1*z\/(-10))\/((-1)\/5). Solve -2 = -a*n + n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + s - 4. Suppose -s = -3*a - 10. Let u(j) = 1. Let n(l) = 5*l - 4 - 5*l + 0 + 2*l + 2. Give a*u(t) - n(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 5*v + 48 = 0, -2*v = h - 14 - 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294*s - 399*s - 482*s + 127*s.\nAnswer: -1048*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2*p + 7. Let i = 9 - p. Let c = i - 2. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21021 (base 3) to base 4.\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3*4\/48 - 310\/24 and 47\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.41 in 1\/2, -0.3, 2\/13, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1283152.\nAnswer: 2, 13, 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 5:22 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11492)\/(-845) + -1 + 2\/5.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u, 2*m + u = -0*u + 40. Let s = m + 45. Is s a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 536197?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(448) - sqrt(448))\/sqrt(8) + 4*(sqrt(504) + sqrt(56)))\/(sqrt(56)\/(sqrt(847)*1 + sqrt(847))*-2)*-1.\nAnswer: 198*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 - 13 = -2*i. Is 18 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1250*40*(1 + -867 + 4). Round p to the nearest 1000000.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/2)\/4)\/((-28)\/8)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 796000 and 796000?\nAnswer: 796000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 2*o - 138 = 0, -3*o = q + 72 - 25 for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -3. Suppose -17 = -s + 2*y, -3*s + 8*s - 115 = -z*y. Let m = 14 - 6. What is the remainder when s is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s + 1. Let a be h(-6). Let g be a\/(-9) - 8\/36. Find k such that -4 - 3*k**g + 2 + 4*k + 5*k - 4 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 11*z**2 + 10*z. Let h be s(10). Is 23 a factor of 2 + h + -1 - (8 + -145)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 224 + -36. Suppose -t - y = -5*t. Is 22 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2870651 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*d + 13. Let n(r) be the first derivative of -r**3\/6 - 3*r**2 + 90*r + 1. Let i(m) be the first derivative of n(m). Determine i(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -7*r**6\/15 + 6*r**5\/5 - r**4\/2 - 2*r**3\/3 + 4*r - 5. Let p(o) be the first derivative of j(o). Factor p(z).\nAnswer: -2*z*(z - 1)**2*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 2*x = 18, 4 = j + 39*x - 38*x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -64, -11, -215 in decreasing order.\nAnswer: -4, -11, -64, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3739935 weeks to seconds.\nAnswer: 226191.2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8022 and 6693.\nAnswer: 17897082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f. Let b(z) = 684*z. Give b(x) + 228*h(x).\nAnswer: 456*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22 + (-4)\/((0 - -2) + -6). Suppose -39255 = -38*j + u*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 264 - 337*x - 832 - 327*x + 670*x to s + p*x and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -1.83654?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppuzupzzqppquzuq. Give prob of picking 1 q, 1 p, and 2 u.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gftk when four letters picked without replacement from {k: 2, o: 4, g: 2, t: 2, f: 3}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 180*a**3 + 50*a**2 - 12680 wrt a.\nAnswer: 540*a**2 + 100*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -456*l + 9*l**2 + 4*l**2 + 454*l + 12 - l**3 in the form p*l**2 + f*l + g + q*l**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - r**2 + r + 276. Let s be f(0). Let b be s\/4 + 0 + 2. Suppose 0 = -v + p + 13, -5*v + 3*p - 4*p = -b. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 6:50 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 + 227.94. Let n = y + -223. Which is the closest to 0? (a) n (b) -1\/4 (c) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z + 47. Let y be (-23)\/((-230)\/(-24))*5\/2. Give s(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 4 (b) 55 (c) -1\/5 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from mttmmmmmm.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75994, -304011, -684028, -1216045?\nAnswer: -1900062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1078558679 divided by -1\nAnswer: -1078558679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 130\/26 + (-76)\/2. Suppose -2*s = -5*m + 216, 3*m + 2*s - 204 = -2*m. Let y = f + m. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, 19, -8, 0.1, -41, 5, -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -31*q - 222. What is n(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 8, v: 2, r: 1, a: 2}. What is prob of sequence llaa?\nAnswer: 14\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 60*c**2 - 748*c + 2660. What is b(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28148 and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*a + 7 = -0*f, 4*f = -5*a + 31. Let c = -377 + 177. What is the common denominator of -42 and f\/(-2) + c\/(-55)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-28) - 66*4\/(-1064). Let h = -929\/9 + 103. Which is the third biggest value? (a) k (b) 0 (c) -4 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3579322.5 to the nearest one hundred thousand.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 23566963.5 milliseconds in days?\nAnswer: 0.27276578125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - -12) + 10 + -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 436957 divided by 1.\nAnswer: 436957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -52512551?\nAnswer: -52512543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 1783 + 229 = 0. Does 23 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -276 in 19, 0, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -18*d**2 - 29*d. Let r(g) be the third derivative of g**4\/24 - 557*g**2 + g. What is p(r(z))?\nAnswer: -18*z**2 - 29*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 6 = 9*g, -5*g - 38 = 26501*f - 26497*f for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from zqzhqhzghzc?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25799 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 22*j - 1. Let w be r(2). Suppose 2*l - 5 - w = 0. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1110 - 18867\/17. Which is the third biggest value? (a) -1\/2 (b) 7 (c) 1 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(45\/24)*(-3)\/(-2). Suppose -4*t + p + 37 = 0, 0 = w*t - 4*p - 20 - 20. Let k(d) = 2*d + 30. Is 22 a factor of k(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51\/5 + -10. Let l be 8\/14 + (-37553)\/32900. Let q = l + -3\/100. What is the third smallest value in q, d, 1\/8, -2\/9?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.26 - 0.43. Let i = 21.091 + -21. Let c = m + i. What is c rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 616 + -616. Factor 31*h**2 + z*h**3 + 4*h**3 + 30*h + 19*h**2 + h**3 + 15*h.\nAnswer: 5*h*(h + 1)*(h + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-39)\/(-4) - (-4)\/16. Suppose 0 = 2*p - t - 0. Solve 0*c = -p*c + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2 + 130*d + 1672 = 0. What is d?\nAnswer: -11, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 29*y = 2757 + 303. Calculate the highest common factor of 1088 and y.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/69 and -11\/736.\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 a, and 1 l when four letters picked without replacement from pajafblp.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -26 (b) 13\/85 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2312)\/(-2890))\/(((-567)\/(-135))\/((-2)\/4))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1019537583.\nAnswer: 3, 17, 23, 47, 18493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, -549, -1229, -2181?\nAnswer: -3405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -31*s**3 - 187*s**2 - 552*s - 3281. Calculate g(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.9 in 2\/11, -171, -4, -646?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 1. Let x(v) = -6*v - 2. Let y(d) = -2*c(d) - x(d). Let n(q) = 2*q**2. Calculate n(y(r)).\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 5. Let o(a) = -2*a + 5. Determine 6*k(q) + 5*o(q).\nAnswer: -4*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 9:10 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 0 - -2)*-1198. Let s = -566 - t. Suppose 0 = -11*i + 479 + s. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61008908 divided by 15252227.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 16 = 2*m. Let v = -1 - -18. Let t = v + -6. What is the least common multiple of m and t?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1538243146?\nAnswer: 2, 11, 7681, 9103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - -4)*(-1)\/(-2). Suppose -140 = -f*c - 0*c. What are the prime factors of c?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11421, 9663, 6733, 2631?\nAnswer: -2643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 832341.8ns to milliseconds.\nAnswer: 0.8323418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78399 is divided by 78033?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 662, -4, 221, -5 in decreasing order.\nAnswer: 662, 221, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 33\/2*b**2 + 0 + 5\/12*b**4 + 5*b - 1\/3*b**3. What is the first derivative of p(i) wrt i?\nAnswer: 10*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1744, -3817, -5890, -7963?\nAnswer: -10036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -23261?\nAnswer: 23261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 169 in 2, -1\/4, 11, -2\/9?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 702715?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**2 - 6320686*r = 0.\nAnswer: -6320686, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 1\/2*d**2 - 101 + 0*d. Let f(x) be the first derivative of 26*x**3\/3 - 1. Determine t(f(p)).\nAnswer: 26*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -896*i + 45457 + 41839 = 14720 for i.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 5 = 5*i, 5*d + 5*i - 1370 = 0. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33272497649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17017 = -3*w + 5*w - 5*c, -5*w + 2*c + 42511 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20003 + 10?\nAnswer: 20013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - j + 4)*(85 - 85 - 7*j**3) - 10*j**4 - 5*j**4 + 10*j**4.\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(3*j + 1 - 1)*(-18 - 90 - 22).\nAnswer: -780*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**3 - 174*c**2 - 3296*c + 7296 = 0?\nAnswer: -152, -24, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 408 + 15*h - 408 to t + z*h and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (16551 - 77)*(0 - -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23807 * -12253.\nAnswer: -291707171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32096268.\nAnswer: 2, 3, 891563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (890\/4)\/((-855)\/(-1368)). Let d = 8 + -1. Suppose -d*f - k = -11*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 5073 = -1717. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from gww.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 759 and 194925?\nAnswer: 2144175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*1*sqrt(68) - sqrt(68)) + sqrt(68) - (sqrt(68) - (sqrt(68) + sqrt(68) + -5*(sqrt(68)*2 - sqrt(68)))))\/(-3*(sqrt(256) - sqrt(256)*-5)) + -5.\nAnswer: -5 + sqrt(17)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/112 and -15\/46?\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtp when three letters picked without replacement from {d: 6, t: 3, p: 2, h: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 0. Suppose 15 = -6*s + 9*s. Suppose 0 = s*w - 15 - 70. Solve 4*b = d + w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 329090045?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-92)\/((-104880)\/(-342)))\/((-33)\/(-2))\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3 + 10 = 4*x, 5*b - 140 = 5*x. Suppose -26*c = -b*c - 17. What is the first derivative of 26*d + 0*d - 25 + c*d wrt d?\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -70\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401*i + 140 = -436*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t = 3. Let n be t + 58\/4 + -1. Let p = -181\/14 + n. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a59991 (base 11) in base 7?\nAnswer: 62352661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 0.014.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/4)\/((p*p*p*p*p*p**(-7)*p*p*p)\/p) assuming p is positive.\nAnswer: p**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -14610 (base 12) to base 10\nAnswer: -28524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 41975*c**3 - 8*c**2 - 8*c + 8. Let o(w) = -661344110*w**3 + 126045*w**2 + 126045*w - 126045. Give 126045*k(i) + 8*o(i).\nAnswer: -14005*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 33 (c) 0.1 (d) 5\/187\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/(sqrt(3)*-1)*3)\/(-5*sqrt(81)*-1).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(2 - 2\/(-2)). Let y be (-1)\/3*-3 + 1. Let m(p) = p**2 - 2*p. Let g(n) be the first derivative of n**3\/3 - n**2 - 1. Determine l*g(b) + y*m(b).\nAnswer: -b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -110001 (base 2) to base 8\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/2, -3, -224, 4, 3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/5)\/(-2*(-4)\/(-20))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 9. Suppose -5*u = -16 - i. Factor 2*r**2 + u*r**4 + 3*r**2 + 6*r**3 - 2*r**4 - r**2.\nAnswer: 2*r**2*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 3:11 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1217.\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by 40.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*m**2 + 5 - 5 + 38*m**4 - 23*m - 39*m**4 wrt m?\nAnswer: -12*m**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -f, 3*f - f + 12 = 5*m. Let v = m - -1. Solve 3*t + 2*t = -3*a + 10, a + v*t - 6 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o**3 + o**2 - 3*o. Let c(x) = 4*x**3 - 2*x**2 + 3*x. Let l(s) = -4*c(s) - 3*n(s). Let t be l(4). Solve -9 = t*m + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -0*j + 5*j - 23, j + 5 = -4*h. Let x = 86 + -51. What is the highest common divisor of j and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -11. Let a = -33 - d. Let f = a - -33. What is the remainder when 17 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-1 + (10 - 13))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 0*w + 0*w)*(4 - 4 + 2)*(2*w - 3 + 3)*(-9 + 13 - 11).\nAnswer: 28*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -144*o + 1749. Calculate y(12).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 52*o + 1 = -50*o, 8 = 2*t - 5*o. What is the third biggest value in -0.2, -357, t?\nAnswer: -357","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - x - 37. Let f be p(7). Is 59*(-1)\/(-5)*f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 241672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**(1\/11)\/y)\/y)\/y**(2\/7))\/(y**1*y\/(y\/(y\/(y\/(y*y\/(y*y**(-7)))*y*y)))*y))\/((y**1\/y**(-4))\/(y\/y**2)**(3\/19)) assuming y is positive.\nAnswer: y**(-20998\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijjiijii. Give prob of picking 3 j and 1 i.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**2)\/c**(-2))\/(c**(-4)\/c**(4\/7)) assuming c is positive.\nAnswer: c**(39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 - x - 5*x**2 + 2*x**2 as q + s*x**2 + b*x and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.2 (b) -0.14 (c) 1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 210789*o - 44 - 210791*o + 6 as c*o + u and give u.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*b**2 + 8*b**2 + 2*b**2 in the form u*b + g*b**2 + k and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 1. Let f be l(2). Let v be 0\/(-2) + 3 + -8. Let h be (-17 - 6\/f)*v. What is the greatest common factor of 30 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 8*q + 11. Let g(w) = 7*w + 1. Let u be g(1). Does 10 divide k(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5752 in 1, 0.3, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + -1 + 5 - 3. Suppose -6*n + j = 2*z - n, -5*z + 10 = 5*n. Let c(d) = -d**3 - d + 1. Let g be c(0). Solve g + z = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = -u. Let v be (-1)\/1 + (-45)\/(-3). Solve -5*f = -4*w + 25, -u*f = -w + 6 + v for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 136, 140, 70, -86, -340, -704, -1190, -1810?\n\"Answer: -2*u**3 - 25*u**2 + 93*u + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7257352.\nAnswer: 2, 907169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 - (91\/(-455) + 1156\/30)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1 = -5*g + 2, 2*g = -3*x - 9. Let p be 4\/x*(-6)\/(-4). Let n = p - -16. Calculate the smallest common multiple of 14 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 21 = -g. What is the smallest common multiple of 14 and g?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1050156 - u + 1050152 - 12*u to w + t*u and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 7*o - 8. Let v be h(15). Suppose -3*w - v = -7*w - 4*a, -3 = -3*a. Solve -j - 4*j = -2*y - 26, 5*y - 3*j + w = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 285694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.04 - 0.04. Let r = f - 3. Let g = 0.1 + -0.1. Which is the closest to 2? (a) g (b) -1\/2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147575 is divided by 1069.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 + 4*k**2)*(0 + 2*k + 0 + (-15 + 15 + 12*k)*(3 + 1 - 3)).\nAnswer: 56*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, o: 1, i: 5, v: 4, f: 5}. Give prob of sequence ofh.\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.101773 rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 8 = 5*b + 17, 2*b = -u - 1. Suppose -5*o = 2*v + 9, -4*v = -v - u*o - 24. Solve v*m - 4 = m + 4*d, 0 = 5*m + 2*d + 26 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 - 104*b**2 + 25*b**2 - 163*b**2 + 29*b - 30*b.\nAnswer: -240*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dscncdsdncc. Give prob of picking 1 d and 1 c.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -10. Let o = 1 + m. Calculate the remainder when 13 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 890 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 + -31. Solve -2*d - w + 7 = 0, -5*d + b + 31 = -4*w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -25454404?\nAnswer: -25454410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4.21 times -14.32\nAnswer: 60.2872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 76278306 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36753941*m**2 - 5949911 wrt m.\nAnswer: 73507882*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*a + 665 - 2*a**5 - 15*a - 24*a**4 - 665 + 135*a**4 wrt a.\nAnswer: -40*a**3 + 1332*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -22*j**2 + 20868*j. Let c(k) = -k. Calculate c(f(m)).\nAnswer: 22*m**2 - 20868*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*i = 3 + 2, -5*b = i + 1. Suppose -c + b*c = -80. Suppose -q = 4*q - c. What is the smallest common multiple of q and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(32\/988)*2. Let d = q + -97. Let x be d\/(1 - 18997\/19000). Round x to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*j - 33. Suppose 5*z + 0*z = 3*i - j, 5*z - 34 = -3*i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*l - 4*l - 60928 + 4*l**2 + 4*l**3 + 60928.\nAnswer: 4*l**3 + 4*l**2 + 11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2265900 divided by 22659.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 2*b + 448. Let v = b - -1179\/5. What is the second biggest value in -1, 3\/5, v?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34701624 and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000061643 rounded to seven dps?\nAnswer: -0.0000616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000042 (base 5) to base 13.\nAnswer: 7178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 598 and 5509673?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.88004 + 0.11996. Sort -112, -1, q, 2\/3 in descending order.\nAnswer: q, 2\/3, -1, -112","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 7*c**6\/15 + 3*c**4\/4 - 5*c**3\/3 - 2982*c**2 - 8277*c. Find the first derivative of f(u) wrt u.\nAnswer: 56*u**3 + 18*u - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.319, -3, 1 in decreasing order.\nAnswer: 1, -0.319, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, m: 5, o: 13}. What is prob of sequence oooo?\nAnswer: 143\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 235 - 123. Let c = 114 - o. Suppose -3*k = -5*q - 678, -q - 453 = -c*k + 2*q. List the prime factors of k.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 + -1 + 7 + -9. Suppose a*x - 2*x = 6. Suppose 9 - 8 = 2*s + 5*n, -s + n - 3 = 0. Put -1, x, s in ascending order.\nAnswer: s, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.12 - -1.92. Let h = f + 0.2. Which is the third biggest value? (a) -1 (b) h (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 a when four letters picked without replacement from {j: 5, x: 3, z: 1, m: 1, a: 4}?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 489, 498, 511, 528, 549?\n\"Answer: 2*i**2 + 3*i + 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*-5 + 1 - (3 + -3*sqrt(19)))**2 - ((sqrt(76)*-1*4)\/(sqrt(576)*-2))**2.\nAnswer: 8*sqrt(19) + 2861\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -43*h - 5. Let p be u(-2). Let s = 160 - p. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 402 - 9. Calculate the remainder when j is divided by 46.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/467200 and 1\/46720.\nAnswer: 467200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 424 - -51426.069553.\nAnswer: 51850.069553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4276850 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 28 + -2 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 36 = 10*c. Calculate the highest common divisor of 60 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 779 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-5))\/(b*b**(-3\/10))*(b*b**(-2\/27))**(-1) assuming b is positive.\nAnswer: b**(1181\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010111100001010111100 (base 2) in base 4?\nAnswer: 22330022330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*m + 36, m + r = 4*m - 36. Suppose -m*k - 112 = 4*c - 7*k, 0 = 3*k. Is c at least -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8524.067ng in tonnes?\nAnswer: 0.000000000008524067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68623.41 decades to centuries.\nAnswer: 6862.341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -295\/16 - -3397\/176. Find the common denominator of l and 162\/(-224) - (-4)\/14.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2355990 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.477368 minutes in milliseconds?\nAnswer: 148642.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o = -8. Suppose 3*m = 7*m. Suppose 0 = -m*f - 3*f + 12, 3*f + 3 = 5*p. Solve 0 = -r + o, -d - p*d + 8 = 2*r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 11:34 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4ddc5 (base 15) to base 13\nAnswer: -89732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.85 - -0.15. Sort 2, s, 0.05, -1.\nAnswer: -1, 0.05, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 7 - 7)*(-10*x**4 + x - x + (0*x**2 - x**3 + 0*x**2)*(2*x + x - 4*x)) as n*x + s*x**4 + q*x**2 + i + a*x**3 and give s.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 6. Let q be b(-4). Solve -2*r - 3*r = -q*j + 4, 3 = 3*r - 3*j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((2\/4)\/((-23)\/69)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 40000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/33 greater than or equal to -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 2*r - 2, 35 = 10*i - 5*i + 5*r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 7590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -35 + (0 - -7 - (-31 + 19 + 21))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43 + -54 + (-307)\/(-28))*2 + (-1278)\/(-3780).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lls when three letters picked without replacement from cisiffll.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103535 (base 6) to base 9.\nAnswer: -12745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 13. Let k be f(4). Let m(i) = -4*i + 2 - 12 + 2*i + 0*i. Let s be m(-12). Solve 0 = x - 2*x - 3*n - 4, -k*n - s = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c + c)*(-5 + 959 - 3764).\nAnswer: -2810*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1812)\/(-48) + (-1)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*1*(sqrt(1331) + sqrt(1331) + -1*sqrt(1331) + 2 - sqrt(1331) - (sqrt(1331) + 0)*-6)**2 + -4 + -2.\nAnswer: 1584*sqrt(11) + 287511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-4) + ((-930)\/(-120))\/(-31) - (-148)\/(-264)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 113*h*j**3*m - 2*h*j**2*m**2 - h*j**2*m + 2*h*j*m**2 - 3*j**3*m**2 - 58*j wrt j.\nAnswer: 678*h*m - 18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -16\/3*c**3 + 29 + 0*c**2 - 62*c. Differentiate b(p) wrt p.\nAnswer: -32*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22 or -160\/7?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 - -40. Suppose -19*k - b*k + 352 = 0. Solve 4*i - k = 0, -3*i + 6 = 3*u - 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 146167474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, -2, 2.\nAnswer: -4, -2, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1255 + 41243?\nAnswer: 42531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**3 + 3*z**3 + 3*z**3)*(8*z**2 - 5*z**2 + 8*z**2).\nAnswer: 11*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -46, -88, -140, -202?\n\"Answer: -5*u**2 - 27*u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 16 (c) -5 (d) 0.07 (e) 0.13 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 8*t + 1\/3*t**3 - 1\/6*t**4 + 9 + 0*t**2. Let h(q) be the first derivative of z(q). Find c such that h(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggoo when four letters picked without replacement from gogooogogo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 31 + 29 = 0. Let h be 9\/4*(2*s)\/1. Let x(m) = -3*m + 25. What are the prime factors of x(h)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135245309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.5 rounded to 0 dps?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 19 - 6*m)*(-20 - 30 + 12) + (-m - 2*m + 5*m)*(-1 + 2 - 3).\nAnswer: 224*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.12819l to millilitres.\nAnswer: 61128.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, 1.3819, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 153 = -3*k, -2*k + 5*k + q - 149 = 0. Suppose 54 = 4*s + k. Sort 0, -1, s in decreasing order.\nAnswer: s, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, l: 2}. Give prob of sequence jjl.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 46*r + 1. Is 26 a factor of x(-43)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-52 - -56)\/(2\/8). Solve -p = -13*w + 9*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + sqrt(7)*-2 + 2 - sqrt(7)) + 1 + sqrt(7)*2 - (-5*3*sqrt(7) + -3)*5)**2.\nAnswer: 2700*sqrt(7) + 39699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 35, -0.078, -2, -4\/9, -0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2622162 (b) -2\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from pnpmn.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 76727992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 37, 43, 35, 7, -47, -133, -257?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 15 + 3*l**3 + 12 - 3*l**2 - 42 - 3*l**4 as j*l**2 + s*l**3 + d + c*l + h*l**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3474 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 4*i + 5928, -6*i + 4436 = 3*l - 7*i. What is the second smallest value in 2\/5, l, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 28 = 5*d, -2*w - d + 4*d = 16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/15)*g*g**(-8))**(-2\/89)\/((g\/g**(-1))**24*(g\/g**(-2\/7))\/g*g*g**(-5)) assuming g is positive.\nAnswer: g**(-412408\/9345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 7 - 3 = q, -g + 4*q + 25 = 0. Suppose -i + 0*i + 4*d = 0, -4*i - g*d = 0. Suppose -2*j - j = i. Solve -10 + j = -2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*w - 2. Suppose 2*z = 5 + w. Let b be 11\/5 - 2\/10. Solve b*x + 3*x = a - 2, -z*x - 4 = -2*a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*n + 588, z = -12*n + 17*n - 123. Let v = z - -127. Let x be (4\/(-6))\/(6\/(-45)). Solve x*o = v + 11 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.94 - 0.06. Let f = -3.1 + 3.11. Let h = -4.99 - f. Which is the closest to i? (a) h (b) -1\/2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2325 + 1001.2325. Let b = 1012.69 - q. Let c = b - -0.01. What is c rounded to zero dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -999, 1899, 6721, 13461, 22113, 32671, 45129, 59481?\nAnswer: 75721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.6 (b) 14 (c) 0 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-36) + (-546)\/(-27). Let h = -1 + -1. Is 5 a factor of (-1)\/(h\/(-4)) + c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5062 is divided by 5061.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**3 - 2\/3*h**4 + 16\/3*h**2 - 14\/3 - 4*h = 0. What is h?\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k - 12 = -60. Which is the nearest to -0.1? (a) 4 (b) -38\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 divided by 102?\nAnswer: 31\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 579850 and -1527078.\nAnswer: -947228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3679029?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 100089524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(-5*f - 3*f + 0*f + 0*f - 4*f - 2*f + (3 - 1 - 4)*(-2*f - 2*f + 6*f)).\nAnswer: -36*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxkkxkxkxkxkkxxkxxxk. Give prob of picking 2 x and 2 k.\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**3 - 23*i**2 - i - 7. Let l(c) = -2*c**3 + 12*c**2 + 4. Let z(b) = -3*d(b) - 5*l(b). Let a be z(-7). Is 13 a factor of a\/9*(-3)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x - x + x + 0*x - x - 4*x + (2 - 6 + 1)*(-2 + 2 + 2*x) + 0*x + x + x + (-x + 0*x - x)*(3 - 1 - 4) - 4*x + 4*x - 2*x.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 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: Suppose 3917 = 34*k - 25045 - 10750. Calculate the highest common factor of k and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4422)\/(-132) - 35)\/(-3 - (-567)\/192).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 86 + -91 + -1 + -1 + (4 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 109 = -r, -313*r + 5*i = -315*r + 137 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 23653.16m?\nAnswer: 23653160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -11.22, -4, 5\/4?\nAnswer: -11.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 146388257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptpwittwikwwwwttkp. Give prob of picking 2 p and 1 k.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n + 23 = 77 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 8*b**4\/5 + 6614*b**3\/3 + 193412*b**2\/3 - 216746*b\/3 + 83576\/15 = 0?\nAnswer: -1348, -31, 1\/12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*c + 7 - 17 = 0, 2*c + 8 = 0. Let v = -1 - -3. Let x(l) = -3*l**2 + 0*l**2 + v*l - 7*l + 5 + 4*l**2. Calculate x(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -0.2 (c) 0 (d) 0.2 (e) -2\/11 (f) -175\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 103.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 = -4*q + 3*f, 4*q + q - 3*f = -268. Let p = q - -78. Suppose -8*u - 22 = -10*u. Calculate the highest common factor of p and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**3 + 3*v**3 - 2*v**3)*(v - v + 2*v**2) + 95 - 182 + 2*v**5 - 56 + v**4.\nAnswer: -4*v**5 + v**4 - 143","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 65*u - 56*u + 27 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 896 + 4e?\nAnswer: 8e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0137 + 0.0863. Which is the nearest to 3? (a) -3 (b) -7\/5 (c) g (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (4 + sqrt(1377)*-2 + ((sqrt(1377) + 1)**2 - sqrt(1377)) + 2 + sqrt(1377))*4)*-5.\nAnswer: -27670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 11:47 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzggggzggzgzzzgzzz. Give prob of picking 1 g and 2 z.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4384111*f**2 + 928685*f + 2.\nAnswer: -8768222","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*d**5 + 2*d**3 + 361*d**2 wrt d.\nAnswer: -2820*d**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, f: 1, b: 1, c: 1, l: 3}. What is prob of picking 2 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -249 - 92689*i - 97 + 95193*i wrt i.\nAnswer: 2504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*z - 12*z - 3*g + 209229, -488113 = -7*z + 4*g. What is the thousands digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 22\/(-4))\/((-31)\/558). Let g = a + 71. Put -2, -3, g in ascending order.\nAnswer: g, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 8 (b) 568 (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14497256 to the nearest integer?\nAnswer: 3808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = s - 8, -7 - 5 = 3*u. Let p(r) = -18*r - 16. Let a be p(-1). Suppose 2*k**s + 4\/5*k**a + 14\/5*k**3 + 0*k + 0 = 0. What is k?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 9*g + 7. Let i be l(9). Suppose -5*b - 2*r + i = -9, 2 = 4*b - 2*r. Differentiate 2*p**2 + 4 - 4*p**b - 5 with respect to p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srps when four letters picked without replacement from sssrrsrsrps?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/(i*i\/i**0*i*i)))\/i)**(-2\/59)*(i\/(i\/(i\/i**(1\/3))))\/(i**(-7)*i))\/((i**1)**(-2\/31))**(-38\/3) assuming i is positive.\nAnswer: i**(31538\/5487)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 11:40 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.7 - 12. Sort a, 1\/9, 15 in increasing order.\nAnswer: a, 1\/9, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 380 + -58. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3*44\/6*15\/60?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1811 + 1823. What is the remainder when 81 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 157*g**4*k - 12*g**4 - 2*g**2 - 202*g*k + 2*g wrt g?\nAnswer: 3768*g*k - 288*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - y - 1. Let p(z) = 11*z**3 + 2*z**2 - 5*z + 1. Let i(t) = p(t) - 2*x(t). Suppose -2*f + 9 = -3*a - 7, 14 = -3*f - 5*a. Is i(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3160166 is divided by 730.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 12 = 67*m - 64*m, -9 + 3 = 2*m - 4*q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8169229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 260796841 to the nearest integer?\nAnswer: 16149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/205 and -59\/205.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*w = -4. Let q be (0 - -2)*(-2)\/w. Let n be 4\/(-2)*13\/(-26). Solve 2*o + q*v = -12, 0 = -3*v - n - 2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6129549 divided by -9.\nAnswer: -681061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o. Let j(m) = 244219*m. Calculate i(j(r)).\nAnswer: 732657*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(18))\/sqrt(9) - (sqrt(2) + sqrt(2)*1 + -3).\nAnswer: -4*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - sqrt(1176))*2)\/((sqrt(144)\/sqrt(3))\/sqrt(4)).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75813 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5459.884 minutes to seconds.\nAnswer: 327593.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**3\/8 - 1071*f**2\/8 - 11874*f - 46431\/2 = 0. What is f?\nAnswer: -201, -154, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73257, -293044, -659355, -1172190, -1831549, -2637432, -3589839?\nAnswer: -4688770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29.3 + 28. Let i = 0.3 + j. Suppose -2*g - 10 = 2*g - 3*s, -24 = 4*g + 4*s. What is the closest to -1 in g, 1\/5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/29)*p*p**20)\/(p*p**(-2\/5)*p*((p*p**(-7\/3)*p)\/p*p)\/p) assuming p is positive.\nAnswer: p**(8989\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 110393509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 27330, 109438, 246284, 437868?\n\"Answer: 27369*n**2 + n - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.655978 * -0.2.\nAnswer: -4.1311956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/644)\/((-67060)\/140826).\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (72\/30)\/(-12)*-12895 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-115)\/6 - (-9 - -11) and -125\/636.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00039812303 rounded to 6 decimal places?\nAnswer: -0.000398","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 192\/20 - 4\/(-10) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4458776623\/163081589792 + -147\/16962928. Let t = q + -1\/736. Which is smaller: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (126\/49)\/(6\/28). Let j = -3 - y. Let s = 17 + j. What is the remainder when 3 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21219 divided by 11145?\nAnswer: 7073\/3715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(5\/3)\/h**(-4\/9))**13*((h*h**(-1\/6))\/(h**(6\/7)\/h))**17 assuming h is positive.\nAnswer: h**(5549\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -2*r - 0*r + 8, -r = 3*w - 5. Suppose r*d = -27*b + 25*b + 666, -4*d = -b - 1357. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/5))**23\/((m**(-1\/5)\/m)\/(m\/(m**3\/m))))**(-19) assuming m is positive.\nAnswer: m**171","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = m + 4, 3*g + 8 = 7*g + 4*m. Is (2 - g)*-4 + 6035*3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*t**3 + 16*t**3 + 13*t**3 + 16*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 26 = -4*u - 3*x, 0 = 2*u + 4*x - 18. What is the remainder when 4 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -1, -16 in decreasing order.\nAnswer: -1, -4, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*v, c - 6*v = -v. What is the remainder when ((-6)\/21 - 438\/(-14)) + 1 is divided by 4*3 + c\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*y + 5 + 2 + 1322*y - 7.\nAnswer: 1449*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*b + 391 = 0, b - 15 = 6*b. Let j = 404 - n. Suppose 8*i = -0*i + j. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 805739840 and 1064.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n + 0 - 688*n**2 - 7*n + 214*n**2 - 1.\nAnswer: -474*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 148553, 148508, 148387, 148154, 147773, 147208?\nAnswer: 146423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4008 (b) 15 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4 = b, 0*v + 2*b = 2*v - 8. Solve -3*x - 3 - 12 = v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 6*q**2 - 8*q + 4. Let m(w) = 7*w**2 - 9*w + 5. Let l(h) = 6*c(h) - 5*m(h). Let s be l(4). Solve -5*r = -s - 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14272.08 rounded to the nearest one hundred?\nAnswer: 14300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*t = 77*t - 404100. What is t rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-884)\/(-578)*((-1386)\/(-143))\/21?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2479.906 to the nearest ten.\nAnswer: -2480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h + 0*h - 5*h)*(-3*h**3 + 3*h**3 + 2*h**3) + 61*h**4 + 442*h**4 + 27*h**4 to f*h**4 + b + a*h**2 + u*h + z*h**3 and give f.\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -29, -36, -43, -50?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400 = -7*w + 18*w + 39*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -4, 1.8, 0.14, 285?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20415 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 3, -5*v = 4*i - 19 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6355.14 millilitres in litres?\nAnswer: 6.35514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 7*o - 2. Let q be u(-8). Suppose 3 - q = j. Let z(f) = -3*f. Let p(k) = k. Determine j*z(s) - 12*p(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 - 9 = -7*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.36 minus -704076854?\nAnswer: 704076873.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -274, -618, -1100?\nAnswer: -1720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 2\/6)*-3. Suppose 2003 = t*y + 127. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1, -214 in decreasing order.\nAnswer: -0.1, -1, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*h**2 - 3*h**2 - h**2 + (6 - 3*h - 6)*(-2 + 2 - h) - 2*h - 5*h**2 + 2*h + 2*h**2 - h**2 + 0*h**2 in the form b + m*h + c*h**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 6*m - 16. What is the tens digit of p(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/11 or -9.9092?\nAnswer: -9.9092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 671 = -4*k + 4761, -4*k - 2698 = -2*m. Suppose -s + 670 = -2*p, 4*s - 2*s - p - m = 0. What is s rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 408 by 406.\nAnswer: 204\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-9 - -6)) + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 0, -2*t + 5*t - 3*h - 171 = 0. Are t and 56 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16628 and 12?\nAnswer: 49884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5941, -2\/13, -14, -2\/5, -0.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 8*a + 8. Let n be l(8). Suppose 0 = -f - 4*o + n + 4, 2*f - 51 = o. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.67530468 to two decimal places.\nAnswer: 3.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 581*h\/2 - 36735\/2.\nAnswer: -(h - 93)*(2*h - 395)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1181818 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**5\/60 - 7*q**4\/24 - 5*q**3\/6 - 6*q**2. Calculate z(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 453\/(-906)*(-5)\/(15\/(-126))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05806924369553 - 0?\nAnswer: 0.05806924369553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20169878 and 12582?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223.6421 weeks to seconds.\nAnswer: 135258742.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 0, v + 3*l - 2 = -l. What is the third smallest value in v, 0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 15*a**2 - 29*a + 16. What is m(4)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 138, 0, 5, 4, 11, -131 in descending order.\nAnswer: 138, 11, 5, 4, 0, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58.05 + 2.05. Let g = l - 343.1. Let o = g + 282.99853. Round o to four decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 12*d**2 - 9*d + 9. Let v be w(-11). Let i = v + 13. Solve i*o - 3*o - 6 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5dee0 (base 16) to base 8.\nAnswer: 1357340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 106000 = 6*a. What is a rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 121*q - 161*q - 220*q - 90*q in the form g*q + t and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/(-1) - 0)\/(-1). Suppose -4*g + c = 8. Suppose 5 = -4*t - x, -t + x = -x + 8. Is g greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 5*d + 4 - 23, 0 = 2*a - d + 13. Let o(y) = -9*y**2 - 8*y + 9. Let v(u) = -5*u**2 - 4*u + 5. Determine a*v(x) + 4*o(x).\nAnswer: -x**2 - 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 + -29 - (-13 + 0)) + -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 182921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10299791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/5169413?\nAnswer: -2\/5169413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4123706 divided by 4?\nAnswer: -2061853\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 m, and 1 n when three letters picked without replacement from ttvmmnnhtmmmlntttnt?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 4*o**2 - 3*o - 1. Let k be u(-2). Let j = -20 - k. Let p(c) = -23*c + 2. Is p(j) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 182 and 249318748?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 123702763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*h**3*l**3 - 257*h**3*l + 4*h**3 + 545*h**2*l**3 - 5*h**2 + 2*h wrt h?\nAnswer: 54*l**3 - 1542*l + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1621198 (base 12) to base 13\nAnswer: c245c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 111 - -98. Let d = s - 221. Which is the nearest to 1\/4? (a) d (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -169, -409, -789, -1303, -1945?\n\"Answer: b**3 - 76*b**2 - 19*b - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7597607 divided by 87.\nAnswer: 7597607\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -57203 less than -6?\nAnswer: 57197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 - 54. Suppose 5*a + p - 115 = 3*p, 47 = q*a - p. Solve f = -4*o - 11, 5*f + 4*o = o - a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -105053, -105054, -105055?\n\"Answer: -s - 105052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 1201*f. Let q(r) = 13*r - 4. Calculate q(t(c)).\nAnswer: 15613*c - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 7*x - 3. Is 3 a factor of v(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/3985 and 15\/2?\nAnswer: 7970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/5 - 2206364*p\/5 - 608505262562\/5.\nAnswer: -2*(p + 551591)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 248, 528, 836, 1178, 1560, 1988, 2468?\nAnswer: 3006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 993114722?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24382.\nAnswer: 2, 73, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -4 + 1 + 0 - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -16*v. Let n(h) = 10*h - 4 + 0 - 4 + 8. Calculate n(g(j)).\nAnswer: -160*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 3*h + h**2)*(h**2 + 5*h**3 + 14*h**3 - 3*h**2).\nAnswer: 19*h**5 - 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, 0, 4 in increasing order.\nAnswer: 0, 4, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by -44334\nAnswer: 29\/44334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6689 + -3683. What is the greatest common divisor of z and 216?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5661)\/12580)\/(63\/98)?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 5*y + 98, -4964*t + 4967*t = -2*y - 37 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -q**4\/2 - 2*q**3 + 6*q**2 + 6. Let f(c) be the second derivative of o(c). What is the derivative of f(l) wrt l?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1683.7755 minutes?\nAnswer: 28.062925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.42 + -0.00166.\nAnswer: -0.42166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4801*l**3*m**3 + 2*l**3*m**2 + 2*l**3 - l**2*m**3 - 2*l*m**3 + 25505*m**3 wrt l?\nAnswer: -28806*m**3 + 12*m**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**2 - 194780*q - 1896962420 = 0 for q.\nAnswer: -19478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-88)*4\/6*1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/11 (b) 7.4 (c) 0.036\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*(p*(p*p*p**6\/p*p)\/p)\/p*p))\/p*(p*p\/p**3)\/p*p**(-1\/4)\/p*((p*p\/p**(-4)*p)\/p)\/p assuming p is positive.\nAnswer: p**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrarrrr. Give prob of picking 1 r and 1 a.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 25*x + 5. Let u be d(-25). Suppose u*z - 2*z = 6. Solve -v - 3 = z*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52.9 + -53.4. What is the closest to 0 in 7\/8, c, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166960.26 months to centuries.\nAnswer: 139.13355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 487 - 0?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-457)\/(-6855)*15*2. Let v = 10 + -10. Sort -0.02, -2\/9, y, v in ascending order.\nAnswer: -2\/9, -0.02, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2*h - h, -4*h - 20 = -l. Suppose 4*o = 4 + l. Solve o*m - 3 = -11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*g - 3 = 16, 3*c + 9 = 3*g. What are the prime factors of (-7050)\/(-12) - c\/14?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -575 + 256 = 11*c - 286 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 23, 40, 55, 68?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 472 = 6*x + 4. What is the least common multiple of (x\/(-12) + 5)\/(3\/(-6)) and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**2 - 240*x = 0. Calculate x.\nAnswer: -48, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*u - 14, -2*l = u - 15 - 14. Suppose 0 = 2*f - p + 1, 2*p + 1 = -1. Let m be f + 135 + 4\/2. What is the greatest common divisor of l and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76076 divided by 52\nAnswer: -1463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 12:49 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 152 + -137. Let k be o\/(-25) - ((-128)\/30 + 1). Factor -k - 32\/3*z - 10*z**2.\nAnswer: -2*(3*z + 2)*(5*z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3477, -758, -4993, -9228, -13463?\n\"Answer: -4235*s + 7712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92\/273 - 2\/39. Let n be (10\/8)\/(2\/(-8)). What is the biggest value in -0.5, n, 1\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 101*n**2 + 17*n**2 - 1467*n - 891*n + 92*n**2 + 639*n wrt n?\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 536000 to the nearest 10000.\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.739042623+-40.6\nAnswer: -41.339042623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-6 + (-8 - -3)) - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*l = 75*l + 216. Solve i = 3*o + 2*i - 8, 4*i + l = 5*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168773 (base 9) in base 16?\nAnswer: 199b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f + 22*f + 1 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -5454?\nAnswer: 5451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 + -0.17. Which is the closest to 2\/9? (a) g (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from flllaflflllaf?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**4 + 7608*v**3 - 3602356*v**2 - 14500848*v - 14531344.\nAnswer: -4*(v - 953)**2*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 94*t - 2. Let p(n) = -6*n + 8. Let x(z) = -2*z + 3. Let m(s) = -3*p(s) + 8*x(s). Calculate i(m(f)).\nAnswer: 188*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: aa390a (base 13) to base 15\nAnswer: 54225c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1026350 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 924145 to the nearest integer?\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26001*w = 26005*w - 112, -3*k + 5*w - 140 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-4))\/(117\/24). What is the closest to -2\/3 in -0.3, q, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -167 times -1660721?\nAnswer: 277340407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/7 of a week in minutes?\nAnswer: 24480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 95 - -141. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2. Let j(p) = p**3 - 5*p**2 + 6*p - 6. Let u be j(4). Let h(q) = -3*q**2 + u*q**2 - 2*q**2 + q**2. Calculate h(g(k)).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 175?\nAnswer: 17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 g when three letters picked without replacement from gayyyyvyyjvaygy.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-4)*(-23)\/((-7406)\/552)*(-42)\/27?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 166 + 1034. What is q rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t\/t**(-2\/17))\/(t\/t**(-3\/5)))**(-16)\/(t**5*t**(-3))**(-2\/33) assuming t is positive.\nAnswer: t**(-67772\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011111100000 (base 2) to base 16.\nAnswer: 17e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3*-1*sqrt(228))\/(sqrt(300)*-4))**2 + -4.\nAnswer: 107\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b3 - -132b?\nAnswer: 1522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 10:08 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 414921 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -57 in decreasing order.\nAnswer: 4, -4, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 129 + -183. Find the common denominator of 58\/63 and (-2745)\/60*(1 + 50\/n).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 1. Let u(x) = -22870*x - 1 + 22873*x + 33*x**3 - 38*x**3. Calculate -3*j(f) - u(f).\nAnswer: 5*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -8*o. Let t be s(-5). Let x be (-42)\/(-5) - (-24)\/t. Solve 3*y = -0*j + 4*j + 8, x = 4*y - 5*j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -37. Let g(p) = p**2 + 7*p + 2. Calculate the remainder when g(l) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -15)\/(4\/(-22)) - 0. Suppose 3*p + x = 109, 5*p - 3*p + 5*x = i. Suppose 0 = m - 4*m + p. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 11*b - 194. Calculate h(23).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/((-196)\/(-24))*(-63)\/(-18). Suppose 160 = 2*k + 4*w, -3*k + 2*w + 260 = n*w. Calculate the remainder when k is divided by 21.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -58730141.\nAnswer: -58730140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*v + 56 = -40*v. What is the remainder when 570 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17013000 to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -1192.\nAnswer: 1191.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*z + 42*z + 3 = 0. Sort z, -16, -4 in descending order.\nAnswer: z, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/8 and (25\/(-1))\/(8\/3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 26487720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2009610, 2009651, 2009678, 2009685, 2009666, 2009615, 2009526, 2009393?\nAnswer: 2009210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1003, 1008, 1025, 1060, 1119, 1208?\nAnswer: 1333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26534248063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.22 - -1?\nAnswer: -10.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v - 6. Let d(b) be the first derivative of b**2\/2 + b + 8. Let t = 11 - 8. Suppose t = 5*y + 8. Give y*q(f) - 4*d(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.1 + 4. Let f = -0.07 + -0.13. Sort r, f, -1 in ascending order.\nAnswer: -1, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*(6*sqrt(85)\/sqrt(5))**2.\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 122*l**2 + 3012*l - 1296. Give r(143).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 9:04 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 8. What is q(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1441\/3 - 490. Find the common denominator of y and -40.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -20.0000022. Round f to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1671*t**3 + 7*t**2 + 21167*t wrt t.\nAnswer: 10026*t + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/(((b*b\/(b**(-9)*b*b))\/b*b)\/b*b))\/b*b\/((b*b**(-7))\/b))**(-28)\/((b**5\/((b\/b**(2\/5))\/b*b))\/(b*b**(2\/7))**(-1\/12)) assuming b is positive.\nAnswer: b**(-631\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2088 and 490230?\nAnswer: 56866680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -w - x - 2*x, 0 = 2*w - 3*x - 12. Let s(g) be the first derivative of -1\/3*g - 1\/6*g**2 + 1\/9*g**w + 1\/12*g**4 - 2. What is j in s(j) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*d + 75 - 15 = 0, -2*d - 30 = -3*z. Suppose -5*r = 2*n - 19, 0 = -z*n + 16*n + 12. Solve -p - r*f = -f - 21, -5*f = -20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 w when two letters picked without replacement from {t: 1, w: 1, c: 1, h: 1, m: 1, r: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 79 + -103?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i - 16. Let n be a(8). Suppose 0 = n*y - 17*y - 375. Let r = -266 - y. What are the prime factors of r?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -1707 + 1140. Suppose -38*t = -h*t - 43. What is the nearest to t in -1\/2, 3, -3, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8983, -17453, -25923, -34393?\nAnswer: -42863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 - 141930*i**2 - 8654009*i.\nAnswer: -i*(i + 61)*(i + 141869)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 39\/21)*2. Let k = -10\/7 - q. Let u = 7 - 2. Put k, u, 0.1 in increasing order.\nAnswer: 0.1, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w**3 - 21*w**3 - 20*w**3 - 11*w**3 - 18*w**3 + 84*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44.9452 - 46.14. Let f = u + 1.101. What is f rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36507 and 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 85*d**2 - d. Let m be l(-1). Suppose 2*j = 2*a - m, -3*a = -2*a - 4*j - 52. What is the highest common factor of a and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 78*a + 50*a - 1024 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b**2. Let i(q) = -2*q + 1. Let h be i(-7). Let r(d) = h - 15 - 2*d. Determine a(r(f)).\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 242328141 to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8484104?\nAnswer: 2, 1060513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**(-2\/21)\/(m\/(m*(m\/m**(3\/4)*m*m)\/m*m)*m**(1\/10)))\/((m**(-1\/2))**(10\/13))**(-19) assuming m is positive.\nAnswer: m**(-1341\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 13404 in increasing order.\nAnswer: 4, 5, 13404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2147978?\nAnswer: 2, 7, 153427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7762107 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 g when four letters picked without replacement from {m: 5, g: 14}?\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millennium in months?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20625 and 15300.\nAnswer: 4207500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, -2, -12 in descending order.\nAnswer: -1.2, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7 + 0.714. Let b = i - 3.914. Let a = b - -3.9000232. What is a rounded to 6 dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2261 and 238?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of d**4\/3 - 20*d. Let o(u) = 10*u**2. Determine w(o(y)).\nAnswer: 400*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-840)\/24 + (-2)\/(-2). Let c be (-18891)\/(-7) + q\/(-119). Suppose -3*l + c = 761. Round l to the nearest ten.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/5)*f)**10*(f**3\/f*f)\/(f*f**(-16)*f*f) assuming f is positive.\nAnswer: f**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 8*y**2 - 5*y - 8. Let p be c(7). Is ((-15)\/p)\/(-5)*422 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2 - 18*x**2 + 3*x**2 + 3*x + 12*x**2 + 4*x**2. Let q(l) = -9*l**2. Determine a(q(t)).\nAnswer: -81*t**4 - 27*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) -1\/4 (c) -0.044 (d) -52 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 552 + 2865 = 0. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195272 to the power of 1\/2, to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 6*k + 1\/4*k**4 - 5*k**2 - 7\/3*k**3 - 7. Calculate p(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**20*j*j*(j*(j*j**(6\/7))\/j*j)\/j)**(17\/7) assuming j is positive.\nAnswer: j**(2839\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -454.93074.\nAnswer: 1364.79222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-61 - -71)*(-16)\/20.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9911986?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 4506814 and 4506815 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 5:01 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -1 + -17 + 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 + m**2 - 5*m**2 + m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4624 and 414137?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4368 is divided by 42?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**5 + 0*d**3 + 0*d**3 - d**5 + d**5 + 5*d**5 + (4*d + 0*d - 3*d)*(4*d**4 - d**4 - d**4).\nAnswer: 4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -182388 divided by 2403\nAnswer: -60796\/801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000159862296 to five dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -3 - (2 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -s**4\/24 - 7*s**3\/6 + 3*s**2. Let p be v(-8). Solve -3 = 2*o + p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 e, and 1 o when three letters picked without replacement from {g: 1, o: 3, q: 4, j: 1, e: 6, l: 1}?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 26*n - 19. Let y be h(24). Suppose 2*m = 87 - y. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -688627, -1377247, -2065863, -2754475?\n\"Answer: 2*v**2 - 688626*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -8 - -3 - -26*4.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 15 = 5*s, -14*q + 6 = 4*s - 9*q. Which is smaller: s or -17\/7?\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + x - 2*x)*(-2 + 2 + x) + 3*x**2 + 2*x**2 - 3*x**2 + (-5 - 2*x + 5)*(0 + 0 - 2*x) + (-2*x + 4*x + 0*x)*(-4 - 7*x + 4) + 2*x**2 + 3*x**2 - 3*x**2.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7250886.\nAnswer: 2, 3, 331, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3520) + (2*sqrt(3520)*-3 - sqrt(3520)))\/(sqrt(20)\/(sqrt(8)\/sqrt(2))*-3).\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 24668 = -3*i, -37*n = -3*i - 35*n + 24664. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 123 by 3.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y**2. Let o be (-2)\/(-5) - 24\/(-15). Let h(t) = 0*t**o - t + t + 2*t**2. What is h(m(b))?\nAnswer: 72*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180312.\nAnswer: 2, 3, 11, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 9 - (28 - 56) - 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 18\/698335961 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(3\/(-18)))\/(100126\/(-15404)).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 25*d**2 - d + 30. Let u be a(25). Suppose w - 5*w = 4*t - 28, -3*w = u*t - 25. Factor -2\/3*q**3 - 1\/3*q**5 + 0 - q**4 + 0*q**t + 0*q.\nAnswer: -q**3*(q + 1)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**4 + 2*m**4 - 5*m**4)*(-28 + 8*m + 28).\nAnswer: -32*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 + 53 - 124 + 71.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 20 - 17. Let m = -696\/3949 + -2\/359. Which is the closest to -2\/5? (a) i (b) 1\/4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -36*j**2 - 2628*j - 2598. Determine d(-72).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 211117?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 2*q**2 + 7*q + 6. Let b be r(-4). Let h = 0 + b. Calculate the highest common divisor of h and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 0 + 46. What are the prime factors of (-6)\/(3*1\/d)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -213*o**4\/4 + o**2 - 4613*o - 15. Differentiate b(w) wrt w.\nAnswer: -639*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2859, 3225, 3591, 3957, 4323, 4689?\n\"Answer: 366*f + 2493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(1620) + (-4*sqrt(160))\/sqrt(8))\/(6*3*-1*sqrt(64)) + -4)**2.\nAnswer: -31*sqrt(5)\/9 + 87749\/5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 30 = -5*l, 4*m - 2 = 18. Let a be -2*2\/1 + 4. Sort 2, l, a in ascending order.\nAnswer: l, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -209 or -1247\/6?\nAnswer: -209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 11, 12886, -4 in descending order.\nAnswer: 12886, 11, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.025 - 2.932. Let z = n + 1.407. Which is the fourth smallest value? (a) -1\/17 (b) 2 (c) 3\/5 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 2*q**6\/3 + 36*q**5\/5 + 8*q**4 - 368*q**3\/3 - 192*q**2 + 1280*q - 746. Let s(j) = 0. What is j?\nAnswer: -5, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t + 16. Let c be k(-10). Let q be 0\/((1 - c)\/5). Factor g**4 + q + 2\/3*g**3 + 0*g - 1\/3*g**2.\nAnswer: g**2*(g + 1)*(3*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111866010 to the power of 1\/2, to the nearest integer?\nAnswer: 10577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 10*y**2 + 40*y - 15. Let q(u) = -2*u**2 + 2*u + 2. Determine -c(w) - 6*q(w).\nAnswer: 2*w**2 - 52*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 1\/3*a**3 - 5\/24*a**4 + 9\/2*a**2 - 1\/60*a**5 + 0*a + 11. Let u(w) be the second derivative of z(w). Determine u(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -742*x**2. Let t(k) = -2464*k**2. Determine t(n(f)).\nAnswer: -1356589696*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -164.685 - 0.315. Let v = n + 165. Which is the third smallest value? (a) 2\/7 (b) v (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbbbgbfmfbmbgbfbbbbb. What is prob of picking 2 m and 1 g?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -0.3, -10\/61?\nAnswer: -10\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -110664446 (base 8) to base 5\nAnswer: -14342113034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2424.89538 milliseconds to days.\nAnswer: 0.00002806591875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2567298 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2208\/1229 or -2?\nAnswer: -2208\/1229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 30430934.1 minutes in weeks?\nAnswer: 3018.941875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 + 77. What is the smallest value in 2, v, 1\/3, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 27\/8, 2\/3, -2\/5?\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 21 (c) -154\/65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + 1. Suppose 3*f + 0*f = 0. Suppose f = x - 13 - v. What is the remainder when x is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 412.7 + -413. What is the nearest to -63 in -0.2, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 2*r + 2*r**3)*(-3 + 1 + 0 + (2 - 1 - 2)*(0 + 1 - 2) + 1 - 5 + 2 - 2 + 1 - 2 + 5 + 4 - 1) + r**3 + 3*r**3 - 5*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**2 + 0*m**2 + m**2 + 2 + 0. Let o be 3\/(-6) + (-5)\/(-2). Let b be 2*o\/6*3. Give w(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * 8.468447\nAnswer: 0.08468447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 132.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 8, -2, -2.37 in increasing order.\nAnswer: -3, -2.37, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 349, 556, 621, 538, 301, -96?\n\"Answer: -r**3 - 65*r**2 + 409*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a**3 - 16*a**3 + 7*a**3)*(-169*a - 836*a - 736*a + 93*a).\nAnswer: 3296*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/7)\/((-44)\/(-308)). Let m be ((-5)\/(-4))\/(2\/8). Suppose 3*n = -r, n = m*r - s*n. Solve w - 4 = -r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120727155 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2 - l - 3. Let o(m) = 19*m**2 + 698*m - 18. What is -6*j(p) + o(p)?\nAnswer: p**2 + 704*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3924, -3949, -3974?\nAnswer: -3999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n. Let d(b) = 96727*b - 3. Give j(d(r)).\nAnswer: 96727*r - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 9*o**2 + 10*o - 12. Let w = 42 + -34. Let a be v(w). Suppose -4*p = -4, p - 12 = -4*n + 13. Put -2, a, n in decreasing order.\nAnswer: n, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 11, k: 5}. What is prob of sequence ktk?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 7*s + 2. What is d(-9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5169 is divided by 1714.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 13*o**2 + 15*o - 12. Let p be j(14). Suppose l - 29 = -14*x + 13*x, p*x - 3*l - 53 = 0. Calculate the lowest common multiple of 28 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 471, 1055, 1863, 2889, 4127, 5571?\nAnswer: 7215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = j, 5 = 5*w + 4*j - 21. What is the closest to 0.1 in w, 1\/3, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48165374, -48165372, -48165370, -48165368, -48165366, -48165364?\nAnswer: -48165362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 27*g - 149. Let o(l) = 66*l + 1. Let b(q) = -o(q) + v(q). Differentiate b(n) wrt n.\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31\/(-11) - -3) + (-552)\/(-594)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = k + n - 3*n, 2*k = n + 34. What is the remainder when -5*(k\/10 - 2) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 19. Let s = -8 + b. Suppose -s*f = 2*f + 5. Put 2, 5, f in ascending order.\nAnswer: f, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2435?\nAnswer: 5, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*b - 13*b + 9*b as s + x*b and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-436 + 2)*(-2 + 0 + 0). Suppose 13*y - 9*y = q. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 8*x - 23. Let u be z(-12). Let q be (-2)\/(-4) + u\/2. Is q > 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**5 + 95956*c**4 + 1821980*c**3 + 6232508*c**2 + 7382880*c + 2876400 = 0.\nAnswer: -23970, -15, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 204384167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 675681?\nAnswer: 2\/675681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 1:06 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 11*g + 29. Let x be a(4). Let w = -292 + 3210\/11. What is the closest to 2 in x, w, -2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n - 10. Give d(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 351 (b) 2\/7 (c) -1\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) -41 (c) 3 (d) -5434\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**2 + 4*f - 10. Let c be t(3). Put -1, c, -5, 6 in descending order.\nAnswer: 6, -1, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007485289 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 4:40 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 169*l - 22626. Determine w(88).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**5\/3 - 17*a**4\/24 + 17*a**2. What is the second derivative of u(h) wrt h?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2121*k**3 + 2*k**2 + 2*k - 6. Let r(s) = 2119*s**3 - 3*s**2 - 3*s + 9. Determine -3*l(y) - 2*r(y).\nAnswer: 2125*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -15*p + 12. Let r(q) = 28*q - 22. Calculate 3*r(w) + 5*s(w).\nAnswer: 9*w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 2 (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.14 + -2.14. What is the second biggest value in b, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 23 - -8*(-60)\/(-96).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*c**3\/17 - 284*c**2\/17 - 506*c\/17 + 780\/17 = 0. Calculate c.\nAnswer: -13\/5, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 21. Let g = w - 2. Calculate the remainder when (-2)\/7 + 438\/14 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11065 + 1526?\nAnswer: 12602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49010.326416 - 49010. Let l = v - 0.327. What is l rounded to five dps?\nAnswer: -0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -335*g*i*t**3 + 4*g*i*t**2 + g*i*t + 230*g*t + 12*g - 83*i*t**3 + 6*i*t**2 - 4*t**3 wrt t.\nAnswer: -2010*g*i - 498*i - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8573 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5\/3 + 4*h**4\/3 + 4*h**3\/3.\nAnswer: h**3*(h + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80 - 12. Let a = z - 62. Let q(p) = 8*p + 37. Does 17 divide q(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 0 + 0)*(-y - 3*y + 3*y) + (55*y - 55*y + 43*y**2)*(2*y - 5*y + 0*y).\nAnswer: -128*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 505 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n**3 - n - 1. Determine t(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3329589206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 10260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 597 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 237, 952, 2379, 4752, 8305, 13272, 19887?\nAnswer: 28384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**3 + 286*g**2 - 283*g + 123. Give i(142).\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 + l**3 + 8*l - 2 + l**2 - 7*l**2. Let f be k(7). Suppose f*m + 49120 = 424120. Round m to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -5. Suppose 46*c - 684 = 8*c. What is the highest common divisor of c and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.023 - 0.023. Sort v, 2\/21, 0.1, 5 in ascending order.\nAnswer: v, 2\/21, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**3\/4 - 55*z**2\/2 = 0.\nAnswer: 0, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**3 - 2355506*h**2 + 1177755*h**2 + 5*h**3 + 1177751*h**2.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 818275 and 3053.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 - 84*l - 68. Determine t(29).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k + 7. Calculate the remainder when 22 is divided by p(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10110123 - -4310?\nAnswer: 10114433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 34.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d**2 - 3*d + 3. Let r be p(1). Solve -3*w - 14 = 5*i, -2*w - 4 - 8 = r*i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 122 + 4?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1047 - 4185\/4. Let -1\/4 + y*u - 3\/4*u**2 + 1\/4*u**3 = 0. Calculate u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 21 = 0, -3*j - 4*y - 3888 = -3969 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -14*y**4\/9 - 3024766*y**3\/9 - 163361668862*y**2\/9 + 614676296386*y\/3 - 57058853324 = 0.\nAnswer: -108033, 2\/7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4 - 18*w**3.\nAnswer: -3*w**3*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/((-1*sqrt(90) + sqrt(90) + sqrt(90))\/sqrt(9)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273*f + 446*f + 1231*f + 70*f.\nAnswer: 1474*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 y, and 1 a when four letters picked without replacement from zzzzyzzfzzaz?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 886*n = 888*n - 12. Solve 3*s - 2*z + 5*z - n = 0, 3*z + 10 = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 11 - 12 - 218*i to t*i + b and give t.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.45 times -486.7?\nAnswer: -1679.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 193, 379, 567, 763, 973, 1203, 1459, 1747?\n\"Answer: i**3 - 5*i**2 + 194*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nlzn when four letters picked without replacement from {z: 1, u: 2, l: 6, n: 2}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 - (-4 - -9 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 20104, 80476, 181096, 321964?\n\"Answer: 20124*t**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3954 - -7617. List the prime factors of l.\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/64 and 5\/244?\nAnswer: 3904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 17. Let s be t\/8*(4 - (-5 + 5)). Solve 0 = -5*n + 2*b - 1, -s*n + b + 7 = -4*b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 + 11 + -21)*1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -137*y + 160*y. Which is the nearest to 2? (a) 4 (b) y (c) 36 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -223, 0, -4.\nAnswer: -223, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 30 = 4*n. Let c(p) = p**3 + 7*p**2 + 3*p - 7. Suppose 0 = -4*x + 12 + 4. What is the remainder when c(n) is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15571931?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 + (-356411)\/22*-6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-45)*-5)\/(-2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.4 and -4105.2.\nAnswer: -30378.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24705 - -24704.99999970947. What is h rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttdttttt. What is prob of picking 1 d and 3 t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-150)\/27 + 6 - -1*34\/(-36)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 350 = -x, 5*p + 5*x + 10 = 435. Let v be (-1)\/4 + p\/(-4). Let m be v\/(-121) + (-8)\/(-77). Put -1, 0, m in descending order.\nAnswer: m, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4 = -3*v + 2*o, 5*o = -4*v - 42. Let q = 89 + -100. Which is smaller: q or v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38621?\nAnswer: 11, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 716621024 to the nearest integer?\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*sqrt(38)*1*-3)\/((sqrt(144)*-2 + sqrt(144))\/(sqrt(50)*-4)).\nAnswer: -40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -4, -2\/11, -34, 4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -84600 greater than 12\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**2 - x + 3*x**2 - x**3 - 5. Suppose -1017*z = -1011*z. Give h(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -175.51 + 175.50960684. Round i to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (114*s**3 + 70*s**3 - 4*s**3)*(3*s - s + 0*s).\nAnswer: 360*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 13593*b**2 - 5*b + 8. Let k be a(-8). Round k to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(4\/3 + -2) + -1. Solve 5*q + 1 + 1 = 2*m, -m + t = 4*q for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by 52?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -5, 0.1, -3, -95013 in ascending order.\nAnswer: -95013, -5, -3, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**3 + 6*k - 2*k**3 + 0*k**2 + 3*k**2 + k**2 to the form q*k**3 + v*k**2 + p + y*k and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*u**2\/2 + 13161*u\/2 - 33750 = 0. What is u?\nAnswer: 36\/7, 1875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4318745 rounded to two dps?\nAnswer: -1.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 70569.\nAnswer: 5\/70569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.234 + 8.164. Sort -0.2, s, 181.\nAnswer: -0.2, s, 181","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*s = 560. Let r = 29 + 56. Let d = s - r. What is the remainder when d is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -869*j**3\/3 - 1269*j + 1293. What is the first derivative of y(x) wrt x?\nAnswer: -1738*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 39*u**2 + 1084*u - 5640. What is s(-14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + (1*sqrt(180)\/sqrt(3))\/(sqrt(12) + 1*sqrt(1728)).\nAnswer: sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-4)\/a*a)\/(a*a**1)*a\/a**4*a*a**4*((a**(-1\/6)*a)\/a*a**(-5)*a)\/(a\/a**(3\/5)*a*a**(1\/10)) assuming a is positive.\nAnswer: a**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 4:11 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*m - 11. Let h = -0.3 + -3.7. Let p = -3.9 - h. What is the nearest to p in m, 0.4, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 232 + 533 = -4*x, -2*r + 4*x = -318. Suppose 0 = -4*v - r + 1453. What are the prime factors of v?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from odd. Give prob of picking 2 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*n, b + 5 = 5*n - 6. Suppose 0 = -33*k + 36*k - 9. Is b greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.205865ml to litres.\nAnswer: 0.000205865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-79)\/(2765\/2660) + 7\/21*0?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 4337*s - 210078. Give j(49).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2356*h**4 - 4696*h**3 + 7100*h**2 - 48*h = 0.\nAnswer: -3, 0, 4\/589, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4802.05l?\nAnswer: 4802050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2 (b) 2 (c) -4\/3 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (0 + -6 - -8) - 14.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(13) + 0) - (sqrt(156)*-1)\/sqrt(12) - (4 + sqrt(1573)*-2 - -2*sqrt(1573)*2)**2.\nAnswer: -6308 - 169*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68023, 136035, 204047, 272059?\nAnswer: 340071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**5\/3 - 581*w**4\/3 - 28991*w**3\/3 + 945233*w**2\/3 + 343104*w - 648324 = 0.\nAnswer: -522, -81, -2, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*i**3 + 0*i**3 + 51*i**3 + 88*i**3.\nAnswer: 112*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3267861808.\nAnswer: 2, 204241363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-5))\/(7 + 3114\/(-450)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/8 + (-63)\/28. Let l be ((-6)\/(-15))\/(i\/(-45)). Let y be 2*-7*(-12)\/14. Calculate the highest common divisor of y and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 14*q**2. Let a(x) = x**2 - 3. Let o(k) = -2. Let p(n) = 2*a(n) - 3*o(n). Determine p(r(z)).\nAnswer: 392*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 11*x**7\/840 - 10*x**3\/3 + 14. Let f(p) be the third derivative of r(p). What is f(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -19096*l**3 - 7168*l**2 - 20. Let v(r) = -9539*r**3 - 3584*r**2 - 11. Let j(o) = 11*v(o) - 6*z(o). What is the third derivative of j(h) wrt h?\nAnswer: 57882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44595853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 220 - 93a6?\nAnswer: -9186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 8. What is the first derivative of 4*t - t + 4 + 3*t + u wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -16. Suppose -5*q + 5*b - 3*b = -13, -q = -b - 2. Solve -r + i = q*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 11\/8 of a millisecond?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrr when three letters picked without replacement from rrusum?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 h when four letters picked without replacement from prvhhhhvepphhrphpvh?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than 19852?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 10. Does 13 divide 2\/n + (-264)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 63, 33, -1, -39, -81?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001.216 days in milliseconds?\nAnswer: 172905062400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*u = -178*u + 9. What is the remainder when 163 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4440 is divided by 553.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -5) + (6 - (2 - -5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6406.\nAnswer: 2, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -46*s. Let f(v) be the first derivative of -v**5\/60 + 43*v**2\/2 + 131. Let o(d) be the second derivative of f(d). What is o(y(t))?\nAnswer: -2116*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -409 + 913. Let f = t - 503.99282. What is f rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25632 >= -0.19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3944135728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, o: 3, u: 1, g: 1, m: 1}. Give prob of picking 1 o and 1 n.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2\/5, 2\/15, 16\/5, 98 in ascending order.\nAnswer: -2\/5, 2\/15, 2, 16\/5, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pprppyrpypfi. What is prob of picking 1 r and 1 i?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -139494 less than -21?\nAnswer: 139473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zrrrrrrrzrzzrrzr.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 12. Calculate the common denominator of 71\/12 and (-3)\/r*(-51)\/(-30).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (6 - (1 + 2 - -6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -825826.47 to the nearest one hundred.\nAnswer: -825800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y - 100 = 5*s - 6*s, 9*y - 5*y + 5*s + 31 = 0 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c = 7*c - 925. Let i = -87 - c. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1224?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*b - 16 = 5, -13 = 3*o + b. Let l be (-1)\/(6\/o + 1). Let f(k) = -2*k + 30. Let g be f(12). Solve l*t = -4*s - g, 0 = 5*t + s - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 + 54*w + 56. Let s be g(28). Suppose k = m + 62, -2*m + 11 = 4*k - 213. Suppose -5 = 5*z, s*z = 3*c - z - k. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - 2*i - 2*i - 20, -5*i - 13 = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43708.\nAnswer: 2, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 60 and 55.\nAnswer: 3300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 105339\/25 + -12644\/3. Find the common denominator of f and 28\/3.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 45*d + 1. Suppose 2*a = 4*a. Suppose l + 0*l - 2 = a. Is k(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25.6 and 0.2631?\nAnswer: 6.73536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*(r*((r\/(r\/r**6))\/r)\/r)\/r*r*r*(r**(2\/19)*r)\/r*r*r*r**(-8)*r*r*r\/(r\/(r\/(r*(r\/(r*(r*r**6)\/r))\/r)))*r assuming r is positive.\nAnswer: r**(211\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*m**4 - 2 + 0 - 16*m**4 - m**2)*(-1 + 1 - 2*m).\nAnswer: 6*m**5 + 2*m**3 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 1 + 1)*((-6*r + 3*r + r)*(0 - 5 + 4) - 1 - r + 1 - 37 + 37 - 15*r)*(2*r + 2*r - 5*r).\nAnswer: -14*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5. Find the third derivative of h**3 + 4*h**2 - 3*h**a - 5*h**2 wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 24.5. Let r = 13 - m. Let t = r - 2. What is the nearest to 1 in t, 3, -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 314 - 299.9. Let m = -14 + z. Is m < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 91, 58, 13, 2, 7, 1 in decreasing order.\nAnswer: 91, 58, 13, 7, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(9)\/sqrt(3) + -3)**2 + -3 + 1 + sqrt(3) + -3 + (-1*sqrt(21))\/sqrt(7) + 0.\nAnswer: -6*sqrt(3) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -91 and 142.1.\nAnswer: -12931.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(2\/27)*j**(5\/3))\/(j**(-4)*j**3) assuming j is positive.\nAnswer: j**(101\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16009 and 46357490?\nAnswer: 2287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -12*v + 21. Let n(x) = -5*x + 10. Let u(q) = -5*n(q) + 2*o(q). Let p(j) = j. Let a be p(0). Determine u(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upp when three letters picked without replacement from {z: 5, u: 3, d: 2, p: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -349, -3241, -11107, -26437, -51721, -89449, -142111, -212197?\nAnswer: -302197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1305*b - 46555 = -2103*b - 2330*b + 131741 for b.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -16*l - 38. Suppose -2*w + 5*a - 22 = 0, -2*w - 7 = -2*a + 3. Let x be -12*(35\/15 + w). List the prime factors of g(x).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4\/t**(-2\/7))**(-5\/2)\/(t\/t**(1\/2)*(t*t*t\/t**(-4))\/t*(t**(2\/5))**(-42)) assuming t is positive.\nAnswer: t**(-29\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/10*(-70)\/(-20) + 6\/30.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 3*d - 30, -k - 7 = 2*d + 3. Let f = -7 - k. Calculate the common denominator of 97\/8 and (5\/20)\/(f\/148).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - -1*sqrt(1872))*1 - 1*sqrt(1872)*4.\nAnswer: -24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54\/324781 or 1?\nAnswer: -54\/324781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/8 - (5 + 115\/(-20)). Suppose i - 5*i + 268 = d. List the prime factors of i.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 5\/3 (c) 741199\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1346\/2019*3\/25\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/11 and -58\/301?\nAnswer: 3311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13207122 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -71 and -1.069631.\nAnswer: -72.069631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 + -48. Suppose m = 2*s + 5*g - 2 - 4, -2*s + 4*g - 12 = 0. Let y(t) = 2*t**3 + 4*t**2 + 4*t + 3. Determine y(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, z: 5}. Give prob of sequence ez.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 17266*r + 3. Let n be v(-5). Suppose -2*q - 142694 = -4*j, 4*j = -0*q - 3*q + 142689. Let t = j - n. Round t to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (0 + sqrt(117)))**2*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**4\/4 + 2*h**3\/3 + 2*h**2 + h + 1. Let a be j(3). Let m = a + -2. Solve -3*f = 4*l - m + 18, -12 = 2*f + 3*l for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)\/d)\/((d**(-13)\/d)\/d*d) assuming d is positive.\nAnswer: d**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 + 1. Let l(t) = -16*t**4 + 178*t**3 - 580*t**2 + 470*t - 51. Let y(z) = -l(z) - v(z). What is x in y(x) = 0?\nAnswer: 1\/8, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -11*m - 37. What is l(-17)?\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8346*r**2 + 12576*r**2 + 8904*r**2 + 26142*r**2 - 3*r + 16794*r**2.\nAnswer: 72762*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7124 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 11 = 13. Let t be (-90)\/150 + h\/10. Which is greater: 1\/87 or t?\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v. Let c be (12\/15)\/(16\/600). Let k(n) = 22*n - 5*n + c*n + 3*n. Calculate k(d(u)).\nAnswer: 150*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 21. Suppose -f - 2*f = -z. Sort -0.5, 2\/9, -4, f in descending order.\nAnswer: f, 2\/9, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2259691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.15 - 0.05. Which is the nearest to -1? (a) 5 (b) t (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136990755 and 10425?\nAnswer: 2085","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3998, 8024, 12058, 16100?\n\"Answer: 4*z**2 + 4014*z - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vf when two letters picked without replacement from {v: 2, f: 1, z: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 166255.\nAnswer: -3\/166255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 4:54 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (17\/17)\/(-2 + 3149\/1574). Suppose -l - 788 = -3*l + 2*n, 2*n + c = 4*l. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence feef when four letters picked without replacement from ffeewwwwffwfffff?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12582 - 37938201?\nAnswer: -37925619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7 + -21 - (-2 - 6\/(-1)). Let f = 48 + r. Let h = 90 - f. What is the highest common divisor of 37 and h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 14516, 14514, 14512, 14510, 14508?\n\"Answer: -2*t + 14518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -19, -172, 33, -8, -6 in ascending order.\nAnswer: -172, -19, -8, -6, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 306\/12*8\/6. Let g = o - 28. Suppose 0 = -2*x + g*x. Solve -a + 5*a = x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 - -39. Suppose -2*h + d = 23. What are the prime factors of h\/(-2)*(-15 - -23)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.34 - 13.339997165. What is h rounded to 7 dps?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*y, -2*m + 445 = 2*m - 5*y. What is the remainder when m is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 73*j - 855. Calculate the smallest common multiple of a(48) and 105.\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 41*p**2 - 17*p - 59*p**2 + 31*p**2 - 12 + 2*p - p**3. Calculate w(12).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 3*c + 15, 2*c + 12 = -c. Suppose -d + 30 = 5*f - 2*d, -32 = -f - 5*d. Let u = h + f. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 47*d - 5 = 52*d, 4*j - d - 21 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1620 and 19738566.\nAnswer: 197385660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 286 - 316. What is the units digit of (-1 - -11)*(-1695)\/n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whhwhwhhwhhwhh. What is prob of picking 2 h and 2 w?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6*i - 7. Suppose 4*y + 6 = -4*x + 362, 5*x - 355 = -4*y. What is the remainder when y is divided by a(5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i - 4*i + 5*i)*(3 - 3 + 1)*(-43 - 50 + 79) to the form l*i + y and give l.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -860.701 - -0.701. Let c = k - -860.0000351. What is c rounded to six dps?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101009*z = -101010*z + c - 2, c = 4*z + 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32643.\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -216f6b?\nAnswer: -216f6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 654 = m - 2*y, 0 = -5*m + y - 819. Let s = -318 - -611. Let t = s + m. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 847 - 847. Is ((m - -8)\/2 - -5934) + 3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2186 = -2*v, -4*g + 6*v + 4369 = v. Suppose g = 4*m - 1876. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/226)\/(-1*32\/(1024\/(-24))).\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 888260 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + sqrt(11) + -5).\nAnswer: -4*sqrt(11) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5485\/12 + 455. What is the common denominator of -43\/20 and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -165? (a) -2 (b) 6 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1378.1652 - 74.0992. Let o = -1303 + f. What is o rounded to two decimal places?\nAnswer: 1.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14746 + -5307. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.451089334 to 4 dps.\nAnswer: 0.4511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/24)\/(82\/(21976\/(-3)))*-4\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**5\/5 + 28*d**4\/3 - 66*d**3 + 144*d**2 + 1032*d. Factor a(s).\nAnswer: -4*(s - 24)*(s - 3)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 4ca6?\nAnswer: 4ca3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a day in seconds?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*n + 3*z - 182 = 0, 4*n - 36*z + 10 = -39*z for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 16*j**2 - 20. Let p(m) = -49*m**2 + 57. Let a(x) = 6*p(x) + 17*t(x). Let g(q) = 2*q**2. Determine g(a(y)).\nAnswer: 968*y**4 - 176*y**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.306104 to 0 decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(4\/(4\/1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 46*p**2 - p + 1. Let o be h(1). Let m be o\/(-8) - 3\/12. Is (-126)\/(-10) + m\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42.165532 - 1300.\nAnswer: -1257.834468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -2 (b) 0.4 (c) 0.2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 5\/2*18\/(-15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -18. Let j = -791 + 836. What is the remainder when j is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12376 and 76687.\nAnswer: 4294472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*h - 316*h = 2*c + 1, -17*c = 3*h - 37 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3542 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 - 71. Suppose -3*n + 17 - 2 = -4*x, -10 = 5*x - 2*n. Put -1, w, x in increasing order.\nAnswer: w, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 256555 + 183445. What is u rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(75) + 1 + sqrt(75) + -5 + sqrt(75)*-3 + sqrt(75) + 1)**2 - (sqrt(75)*-1 + -2 - sqrt(75)*-6*-2)**2.\nAnswer: -12670 - 260*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 3*c**2 - 2*c. Let x be k(-1). Let z(w) be the third derivative of x*w - 1\/3*w**3 + 1\/60*w**5 + 0 - 1\/8*w**4 + 2*w**2. Calculate z(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15834144661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 6894000 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9771487 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3344937439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t**2 - 4*t**2 + 5*t**2)*(-10 - 4 + 2) to w*t**2 + n + x*t and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 59. Let p(k) = k + 1. Let s be p(4). Suppose -s*d - 4*c = -33, -2*c = 2*d + c - 16. What is the highest common factor of q and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1083.7 - -1083.85. Which is the nearest to t? (a) -1\/2 (b) 0.2 (c) 5\/2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 11 + 4. Let g be 2\/(-11) - 48\/(-22). Suppose 2*t - 7 = -g*n + 3*n, 3*t - 4*n + 2 = 0. Solve 0*i = -s*i + t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196723812?\nAnswer: 2, 3, 1699, 9649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 2*o - 3. Let l be s(-2). Suppose -2*w + l = w. Factor x**2 - 1 + 3*x**2 + 2 - w - 2*x**4.\nAnswer: -2*(x - 1)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + (5 + 2*sqrt(2) - sqrt(2)))**2 - (((-1*sqrt(22))\/sqrt(11) - sqrt(32)*4) + -3).\nAnswer: 29*sqrt(2) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * -9516.\nAnswer: -570.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -419\/10 in -5, 0.3, -0.2, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4908.3517 + -4908. Let m = 0.326 - g. Round m to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/6)\/(7 + (-108)\/16). What is the closest to z in 1\/2, 2.6, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1495932724 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17858 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 416 + 121?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 272 - 267?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -249*x**2 + 21*x. Let z(l) = -36*l**2 + 11*l + 42. Let q(r) = 17*r**2 - 6*r - 24. Let n(j) = -7*q(j) - 4*z(j). What is -21*n(h) - 2*w(h)?\nAnswer: -27*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10c51ab (base 13) in base 4?\nAnswer: -103300312210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/11 - 12462*q**2\/11 - 24159798*q\/11 - 14955740938\/11.\nAnswer: -2*(q + 1541)**2*(q + 3149)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.1 (c) -2\/7 (d) -1\/2 (e) 1\/86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g - 13. Let q be a(5). Let x be (-972)\/q - 6\/(-21). Suppose 3*u + 2*b = 36, -5*u = -b - 4*b - x. What is the smallest common multiple of 14 and u?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3346911 and 76978938\/23 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 13, d: 5}.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150 and 22050.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/(b**(1\/3)*b)*b)*b)\/b*b**(-3\/4))**22 assuming b is positive.\nAnswer: b**(-187\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3\/3 - 8556140*h**2\/3 + 17112274*h\/3 - 8556136\/3 = 0 for h.\nAnswer: 1, 4278068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -11*z**2 - 7. Let m(l) = -l**2 + 30*l - 218. Let q be m(13). Let j(y) = 5*y**2 + 3. Give q*f(r) + 7*j(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 197, -1047, -6515, -18985, -41235, -76043, -126187, -194445?\n\"Answer: -463*r**3 + 666*r**2 - r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 43 = 7. Let m be 2 + -1 - j\/(-2). Suppose m*h - 219 = 5*h. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((2*sqrt(30))\/sqrt(10) + 1)*-4.\nAnswer: -16*sqrt(3) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/4*(56\/(-49))\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18930 - 3107 - 5919 + 2993)*(0*s**4 + 2*s**4 - 3*s**4).\nAnswer: 24963*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.1, -1, -2\/67?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 k when two letters picked without replacement from evekpvf.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 770111.\nAnswer: 770111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in six fifths of a second?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 + -39. Suppose 0*j + w = j. Let x(a) = a**3 - 3*a**2 - 7*a + 5. Give x(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11161 times -0.3\nAnswer: -3348.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q\/(q*q**(-3)))*q*q*q)\/(q*((q*q**(-12)*q)\/q)\/q))**(-12) assuming q is positive.\nAnswer: q**(-156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 j when three letters picked without replacement from iyjiijhijijihhj?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4\/15 - 89\/60. What is the common denominator of v and 35\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + ((-46)\/22)\/(38\/2 + -20)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*x**3 - 38 - 2*x**3 - 10*x + 0*x**3 - 19*x wrt x.\nAnswer: 9*x**2 - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 5*t. Let r(u) = 4*u - 22. Let g be r(9). Suppose -4*i = 2*q + q + g, -5*i = q + 1. What is y(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14225 - -8539. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 - 49. What is the remainder when 27 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 106*m**3 + 3*m + 44. Let w be (1\/(-2))\/(5*8\/560). Let d(q) = 213*q**3 + 7*q + 87. Let g(x) = w*k(x) + 3*d(x). What is the derivative of g(y) wrt y?\nAnswer: -309*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1012 (base 3) to base 2\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 230909\nAnswer: -69272.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 13 (c) -0.165\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (133 - 143) + 10 + -1 + 29?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11160993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 o when two letters picked without replacement from {y: 2, z: 1, r: 3, n: 4, g: 2, o: 3}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*c + 22050 + 59400, -2*c = 2*b - 54328. What is the ten thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 402126.\nAnswer: 402124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3839 + -3804. What is the remainder when 9\/12 - (-829)\/4 is divided by r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2984587*n**3 + 5*n**2 - 62*n - 46 wrt n.\nAnswer: 17907522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -47059 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113182 is divided by 703?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 10:40 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18168309 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v - v**3 - 3 + v**2 + 0*v**2 + 3*v**2. Let a be t(5). Is a*(-3)\/((-12)\/166) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, z: 1, i: 1, x: 5, l: 1, p: 1}. What is prob of picking 1 x, 1 i, and 1 l?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**2 - h**3 + 0*h**2 + (2 - 2 - 2*h)*(-2*h - 1839 - 1765 + 3663 + h**2).\nAnswer: -3*h**3 + 4*h**2 - 118*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(392)*-3 - sqrt(8)).\nAnswer: -sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*w**2 - 17*w**2 + 56*w**4 + (-5*w**3 + w**3 + 3*w**3)*(w + 0*w - 2*w) + 5*w**3 + 3*w**4 - 5*w**3 as k*w**2 + n*w**4 + a*w**3 + i + r*w and give n.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10644*a + 5300*a - 8 + 4990*a)*(2*a + 2*a**4 - 2*a).\nAnswer: -708*a**5 - 16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -2b03404?\nAnswer: -2b03405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 4:40 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l**(2\/3)\/l)\/l))\/(l*l**(-1\/15))*(l*l*l**(-1))**50 assuming l is positive.\nAnswer: l**(257\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -81 (c) -2\/90207\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/12 - (-488)\/48. Let h = -6 + m. Suppose 3*t + 6 = -t - 2*x, -h*x = -3*t + 23. What is the smallest common multiple of t and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 1 + 10\/6. Sort c, -1\/7, 8.\nAnswer: -1\/7, c, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3965 + -3963. Solve f - i*t - 4 - 1 = 0, -2*f = 4*t + 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-45)\/(-9) - (0 + 4\/2). What is the closest to 0 in 4, -2\/3, x?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwww. Give prob of picking 4 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*a + 7 = 0, -4*o - 4*a = -31 + 3. Suppose -p - 28 = -2*u, -8*p - 67 = -o*u - 4*p. What is the highest common divisor of u and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -9*n**2 - 5*n - 2. Let k(c) be the first derivative of -5*c**3\/3 - 3*c**2\/2 - c - 2. Let s(o) = 11*k(o) - 6*z(o). What is s(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 - 2*b**2 - 4*b**2 + 3*b + b**2.\nAnswer: -b*(2*b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 30 + 185. What is the second derivative of -50*a**2 + 28*a + 15*a + 5*a**2 - j*a**2 wrt a?\nAnswer: -176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z - 8. Let y be a(8). Let q = -10 - y. Solve -5*o + 10 = 0, -r + 3*r - 2*o = q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 12*s + 4. Suppose -25*c + 20*c = 60. What is v(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f = 26*f. Suppose -3*n - 2*g + 2 + 6 = 0, 5*n - 4*g + 16 = f. Suppose -3*d + 2*d = -7. Sort n, 3, d, 4 in decreasing order.\nAnswer: d, 4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 19521124.\nAnswer: 97605620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 534, -343, -1220?\n\"Answer: -877*c + 1411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 6*z**2 - 5*z - 8. Let c be y(-5). Let m = -46 + c. Is 2 a factor of (m\/(-8) - (-174)\/4)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 92\/69 + (-4)\/6. What is w in -v*w + 1\/3 + 1\/3*w**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 128*b + 1. Let u be z(13). Suppose -95 - u = -y. Round y to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141 = 5*s - 5*j - 216 + 145, -5*j + 18 = 8*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22220 and 55.\nAnswer: 22220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -528\/125483 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -693*j**4 - 4*j**3 + 21*j**2. Let p(o) = 693*o**4 + 6*o**3 - 22*o**2. Let v(h) = -3*d(h) - 2*p(h). Find the third derivative of v(k) wrt k.\nAnswer: 16632*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (476\/19040)\/((-2)\/(-1520)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2 + 36694*c - 293616 = 0 for c.\nAnswer: -36702, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 0*s - 8 = 0. Calculate the remainder when 122 is divided by 82\/6 - s\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(190) - (sqrt(190)*-2 - sqrt(190)))*-4 - -6*1*sqrt(190))\/(sqrt(30)\/((sqrt(120)\/sqrt(4))\/sqrt(10))))**2 + -3)*-6.\nAnswer: -11382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*sqrt(200).\nAnswer: -100*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/2355 and 32\/5?\nAnswer: 2355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3274 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**3 - 3*c**2 + 3*c - 1. Suppose -4*w - 11 = -15. Let l be k(w). What is the tens digit of 1\/(4\/(140*2)*l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + 0)*5 + 5*sqrt(114)\/sqrt(6))**2.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 752031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 10*x**2 - 16*x - 178. Let l be c(-5). What is the highest common factor of l and 1387?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 12) to base 7.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/21 and 12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 2.47?\nAnswer: -7.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.5 + -3.5000002. Round j to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0222, -39, -0.3, -4\/7, -2\/7 in decreasing order.\nAnswer: -0.0222, -2\/7, -0.3, -4\/7, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 1.9. Let a be ((-12)\/10)\/((-3)\/10). Let m = 8071 + -40353\/5. What is the closest to m in r, -0.4, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 230, -0.11, 0.4, -0.5?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (-3 - (-3)\/3). Factor -2*r**2 - r**3 + p*r**2.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.1478.\nAnswer: 0.739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(38)\/(sqrt(98) - (sqrt(98)*-2 - sqrt(98))) - (-1*sqrt(228)*-5 + sqrt(228))\/(-3*sqrt(24)\/sqrt(2) - sqrt(12)).\nAnswer: 11*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8246533013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -10*w**2 + 6*w + 3. Let s(l) = l**3 + l**2 + l - 1. Let r(j) = i(j) + s(j). List the prime factors of r(9).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**2 - i + 1. Let w(z) = 3*z**2 - 2*z - 3. Let s(j) = 4*j**2 - 3*j - 4. Let x(v) = -2*s(v) + 3*w(v). Give -o(k) - 2*x(k).\nAnswer: k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 604990470?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(228)*-2*3)\/(-2*-1*sqrt(1728) - (sqrt(1728) - sqrt(1728)*1)*4).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41235 = 83*b + 39492 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -11*o + 75. Suppose 0 = -34*n + 39*n - o. Suppose -3 + 5 = b + 3*i, 21 = n*b + 4*i. Calculate the remainder when 74 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35444630, 35444629, 35444628, 35444627, 35444626, 35444625?\n\"Answer: -q + 35444631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -143169444 divided by 1084617?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -875*g**2 + 101144730*g + 2311880.\nAnswer: -5*(g - 115594)*(175*g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -313040 by -6020.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 63 = 5*k, 3*j + 33 = 3*k - 0*k. Suppose k = d - 84. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - b + 1. Let o(n) = 10*n**2 + 4*n - 10. Let q(z) = -4*j(z) - o(z). What is the derivative of q(i) wrt i?\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25 and 18.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -14000 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14443 - 14441. Let j = -0.7 + 0.2. Which is the nearest to -2\/3? (a) o (b) -1\/4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3484, -3331, -3054, -2635, -2056, -1299, -346, 821?\nAnswer: 2220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7733995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34257*i + 34268*i + 165*i**4 + 351*i**4)*(0 + 2 - 3) as j + z*i**2 + c*i**4 + r*i + n*i**3 and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 + 7)\/(-4 - (-3 - 0)). Let o(v) be the third derivative of 0*v**3 + 0 - 9*v**2 + 0*v**4 + 1\/60*v**5 + 0*v. Determine o(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2754 and 442?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*x - 2. Let y(v) = -v**3 - v**2 - v + 1. Let h(z) = 6*z**3 + 5*z**2 - 5. Let u(d) = x*h(d) + 5*y(d). Find the second derivative of u(l) wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/15)*y**(-8)*y*y**(5\/2)\/(y*y**(-2\/13)\/y) assuming y is positive.\nAnswer: y**(-1669\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 413 + -591. Let c = -1254\/7 - t. What is the nearest to 1 in c, 0.2, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4106.033 + -4106. Do 1 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8986862 kilometers to micrometers.\nAnswer: 898686200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 9:52 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -82*g + 32.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 738 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 6. Let l be w(5). Let r = 0.47 + 0.03. Let p be ((-4)\/54)\/((-5)\/(-15)). Which is the closest to l? (a) p (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4435007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -378719409 divided by -149\nAnswer: 2541741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 652 - 3*x + 4*x - 4*x + 279 + 261 in the form z + r*x and give z.\nAnswer: 1192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 88, 85, 82, 79?\n\"Answer: -3*o + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-19\/5)\/(a*a**24*a))\/(a**(1\/25)*a*a*a\/a**32*a) assuming a is positive.\nAnswer: a**(-46\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75.471 - 0.045.\nAnswer: -75.516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(2*sqrt(104) - sqrt(104)))\/((sqrt(120)\/sqrt(3))\/sqrt(5)))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m**2. Let u(o) = -110*o**2. Let c be (-1 - (-4)\/10)*130\/(-39). Determine c*u(r) - 45*n(r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006078187093 to four dps.\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 9) + (18 - 31).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -76 + 188\/3*j**3 + 115*j**2 + 0*j. What is the second derivative of d(r) wrt r?\nAnswer: 376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + o = -o - 10, -5*h + 4*o + 18 = 0. Let v(p) = -2 + 4 - 4 - h*p. Suppose z - 15 = 3*g, 0 = 5*z - g + 1039 - 1030. What is v(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -400113 divided by -261\nAnswer: 1533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -22*r**6\/5 - 187*r**5\/60 + 187*r**3\/6 + 49*r**2. Let s(g) = -17*g**3 - 6*g**2 + 6. Calculate -187*s(d) + 6*y(d).\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 266\/37 - 23089\/3330. Find the common denominator of -111\/50 and m.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**6\/20 - 3*s**5\/4 + 2*s**4 - 172*s - 1. Factor d(l).\nAnswer: 3*l**2*(l - 8)*(l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.75 - 69\nAnswer: -68.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.6 + 2. Let n = 399809\/83 + -4817. Let h = -3 + -2. Which is the closest to -0.2? (a) h (b) n (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -2121202111112?\nAnswer: -2121202111102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m = -410 + 1940. Solve 0 = -4*x - m + 63 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13777 + 13776. Which is greater: t or -1\/15856?\nAnswer: -1\/15856","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, -2\/13, 36, 0.2 in decreasing order.\nAnswer: 36, 0.2, 0, -2\/13, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20790486, -41580973, -62371462, -83161953?\n\"Answer: -o**2 - 20790484*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 54*f**2 - 26*f - 130. What is the ten thousands digit of t(-35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/8 and 101\/566.\nAnswer: 2264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 10:15 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*v - 31*v = -54 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -9988?\nAnswer: 9986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0*(-5)\/(-20))\/(-1). Solve 5 = -x*w - 5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*l + 0*l + 150 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k**3 - 2*k**3 + 0 + 23*k**2 - 2*k - k**3 - 2. Let a(g) = -3*g**3 - 34*g**2 + 3*g + 3. Let u(i) = -5*a(i) - 7*z(i). Does 4 divide u(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -2.6. Which is the third biggest value? (a) 0 (b) -5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**3 + 2055 - 2048 + 6*k - 4*k to y*k + o + q*k**2 + v*k**3 and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5 - 1 = 0. Let w(c) be the first derivative of 2 - 1\/2*c**u + 0*c + c**3. What is the second derivative of w(j) wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1009 is divided by 36?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 18\/4 + (-7)\/14. Let t be d\/28 + (-3)\/((-54)\/(-9)). Which is the closest to t? (a) -1\/4 (b) -4\/5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 12:37 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (22\/5)\/((-1)\/(-5)) is divided by 12\/14*13\/((-104)\/(-28))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12515574931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1644 - 2032.8. Let h = -389 - w. Which is the biggest value? (a) h (b) -2 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42800724 divided by 1\nAnswer: -42800724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76403614?\nAnswer: 2, 7, 1181, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 3:45 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**3\/11 + 2594*s**2\/11 - 236*s = 0?\nAnswer: -1298, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 8 = -10*q. Suppose -2 - 6 = -q*a. What is the third derivative of 0*p**6 + p**6 + p**2 + a*p**2 wrt p?\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 2*k**4 - 2*k**3\/3 + 2*k + 5987. Let d(v) = 32*v**3 - 9*v**2 + 9. Calculate 18*c(p) - 4*d(p).\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 470 divide 140637075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6055 = 3*d + 2606. Let a = d + 4284. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 27 (b) 1\/6 (c) -5 (d) -0.4 (e) 1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*c + 131425 + 297983 = 0. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s - 57 + 2 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.372 + -0.872. Put 1\/10, -5, 0.2, f in increasing order.\nAnswer: -5, f, 1\/10, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 808152, 808144, 808136, 808128, 808120, 808112?\nAnswer: 808104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f. Let k(j) = -4*j - 755. Let r(i) = 6*h(i) - k(i). Differentiate r(g) with respect to g.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 15. Let f = -1 + s. Let j be ((-2)\/f)\/((-1)\/(-12)). Solve j*t - t = -15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -318, -1253, -2794, -4929, -7646, -10933, -14778?\nAnswer: -19169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 582963 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 - 60*k**2 - 12672*k + 898304.\nAnswer: (k - 88)**2*(k + 116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obbboobo. Give prob of picking 2 b.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 469314.\nAnswer: 2, 3, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 16. Which is greater: 10 or c?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/3)\/2 + 0. Let z be 2*(-2)\/(-16) + w. Let f(x) = x + 2. Let g be f(-4). Which is the closest to z? (a) g (b) -5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 1.97. Let m = -0.03 + z. Which is the nearest to m? (a) -0.4 (b) -2\/13 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + (-20)\/8)*4. Let h be (-40)\/(-15) + b\/(-3). Suppose 2*p = -3*p + 15. Solve h + 1 = p*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -107, -110, -113, -116, -119?\n\"Answer: -3*b - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/2 and (-20938)\/3567 + (7 - 1)*1.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 139123 = 2*l - 16477, -4*w - 20 = 0. Let d be (l\/105)\/((-3)\/(-105)). Round d to the nearest 1000.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/31? (a) 1 (b) -0.2 (c) 10 (d) 0.65 (e) 4 (f) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 12:20 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4 + 357*o**3 + 1317*o**2 - 7245*o.\nAnswer: 3*o*(o - 3)*(o + 7)*(o + 115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3))**(-47))**(-50)\/(o*o\/o**3*o\/(o\/o**(-6\/5))*(o**(1\/3)\/o)**(-7\/3)) assuming o is positive.\nAnswer: o**(-317221\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-24)\/(-10))\/((-18)\/(-600)). Suppose -5*a = -0*t + 5*t + p, -5*t = 0. Is 4\/a - (-226)\/8 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6\/w)**(-21)*w*w**16*w\/w**(2\/15) assuming w is positive.\nAnswer: w**(-1307\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.1 - -2. Let u = d + -2.9. Let n = -1.1 - -0.1. Which is the biggest value? (a) u (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 11*w + 238 = o, 0 = 5*w - o - 402. Calculate the remainder when w is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-17)\/y**47)**(-6\/17) assuming y is positive.\nAnswer: y**(384\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 91, -2, -3 in ascending order.\nAnswer: -3, -2, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 434728046.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 563*m**4 - 11259*m**2 - 4*m + 68939245?\nAnswer: 6756*m**2 - 22518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**7\/126 - v**6\/90 + v**5\/30 + v**4\/18 - v**3\/18 - v**2\/6 + 37*v. Factor r(h).\nAnswer: -(h - 1)**2*(h + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**4 - 8650*k**3 - 8660*k**2 + 8650*k + 8655 = 0. What is k?\nAnswer: -1, 1, 1731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30004 - 30001. Let q(d) = 10*d + 5. Let j be q(-5). Which is the third smallest value? (a) j (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f - 3*f - 345 + 226. Let v be m(-17). Factor -2\/3*y**5 - 4\/3*y**2 + v*y + 0 - 8\/3*y**4 - 10\/3*y**3.\nAnswer: -2*y**2*(y + 1)**2*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*i*v**2*z + 3*i*v*z**2 - 5*i*z**2 - 10*v**2*z**2 + v**2 + 78*v*z**2 + 1 wrt i.\nAnswer: 11*v**2*z + 3*v*z**2 - 5*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 103345127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 304 and 19608.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w - 7 = 0. Let f be 2\/w + 2366\/49. Calculate the greatest common divisor of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 6*h**2 + h - 6. Let y be a(6). Let f = y + 1. Let c be (f + 1 - 3004) + 2. What is c rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -31*t**2 + 4*t + 5. Let v(l) = -62*l**2 + 9*l + 11. Calculate -6*v(c) + 13*y(c).\nAnswer: -31*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -41*a + 1\/3*a**3 + 0*a**2 + 0. Let x(h) = -49*h - 1. What is x(n(l))?\nAnswer: -98*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 - 24. Suppose -4*a = -2*q - 20, -2*a = -5*a - 3*q + 33. Calculate the greatest common factor of m and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + -20. Let i = h + 165. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21243900 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0)**(-32)*((o\/(o\/(o*o**4*o*o)))\/o)\/(o**1\/o))**(-8\/5) assuming o is positive.\nAnswer: o**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dn when two letters picked without replacement from {d: 2, g: 1, n: 1, p: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s**2*w*z + 1558*s**2*w + 84313*s*w*z - w*z + w + 1320*z - 96653 with respect to s.\nAnswer: 2*s*w*z + 3116*s*w + 84313*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -883, 0.3, -26.6, 6, 0.1?\nAnswer: -883","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -61, -58, -35, 14, 95?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*z + 5*j, -j - 39 = -5*z - 42. Let w(k) = 20*k + 1. Let t(u) = u + 1. What is z*t(c) + w(c)?\nAnswer: 18*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 0 + -3 - 3 - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - x**2 + x - 1. Let r(w) = -5*w**3 - 2*w**2 - 11*w - 10. Let h(u) = 6*j(u) - r(u). Is 2 a factor of h(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -117*s - 1983. Determine y(-19).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27\/19 - 25\/19. Let n = -2.6 - -1.7. Let g = n - -1. Is s at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, c: 1, m: 1, o: 4, k: 6}. Give prob of sequence koo.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-17)*j**(1\/4))\/(j**(-2\/43)\/((j\/j**(-37))\/j)) assuming j is positive.\nAnswer: j**(9511\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s**3 + 16*s**2 + 2*s + 3. Let b(v) = -21*v**3 + 81*v**2 + 11*v + 16. Determine -2*b(l) + 11*h(l).\nAnswer: -2*l**3 + 14*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 785 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011001 - -10001?\nAnswer: -1001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 158, 574, 1416, 2834, 4978?\nAnswer: 7998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -9*l**2 - 3*l - 1. Let d(s) = 14*s**2 + 5*s + 1. Suppose 58*t = 20*t + 190. What is t*d(a) + 8*x(a)?\nAnswer: -2*a**2 + a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 20, -0.7571?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 2*h + 3*h)*(-5*h**2 + 42 - 2*h**2 - 41).\nAnswer: 7*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680 is divided by 75?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 55.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -100.\nAnswer: -100, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-175 + 7*z + 175)*(10 - 9 - 15) + (-5 + 1 + 1)*(-4*z + 3*z + 0*z) as c*z + m and give c.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1824 and 167352?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5*o**3 + 851883*o**2 + 94961594*o + 37848336 = 0.\nAnswer: -111, -2\/5, 170488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2324 (base 6) to base 4\nAnswer: -20230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.4, 2, 0.4, 0.5, -0.08, 12?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -5\/3 (b) -104 (c) 5 (d) -4 (e) -800\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 107 divided by 107\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8\/7 - -6\/7. What is the smallest value in -1, -0.5, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 54*f**2 + 8*f - 255. Give b(-54).\nAnswer: -687","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 5:17 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12998 + 2*t**2 - 796*t - 12905 + 25410 wrt t.\nAnswer: 4*t - 796","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 139\/8 and 17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 2*a - 50, 3*p - a + 2 + 33 = 0. Let x = p + 23. Let r be (11\/((-231)\/(-18)))\/((-6)\/(-84)). Are x and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 25, 434 = v - m - 373. What is the hundreds digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/770 and 13\/60.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 217 + -398?\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 21*l**3 + 15*l**2 + 19*l + 12. Let j(s) = -10*s**3 - 8*s**2 - 10*s - 7. Let x(u) = -3*b(u) - 5*j(u). Is x(-2) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 2118240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 138*m**2 + 26*m + 181. Is s(-25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 199*f**6\/6 - 2*f**3\/3 - 2*f - 224. Find the third derivative of v(d) wrt d.\nAnswer: 11940*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18953 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/1224*180)\/((-1)\/4*1)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.05 - 11.25. Let y = b + 11. Is -24 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/20)\/((-2)\/5). Let o(i) = -27*i - 7. Let c(v) = 9*v + 2. Let k(f) = t*o(f) - 8*c(f). Let y(z) = 5*z + 3. Calculate -6*k(m) + 10*y(m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/21))**(5\/4)*(f\/f**(-38))\/(f**17*f) assuming f is positive.\nAnswer: f**(446\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 920*j*m**3 - j*m + 27*j + 7123*m**3 + 54569*m wrt m.\nAnswer: 5520*j*m + 42738*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/4*(-680)\/255)\/(-38).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -65, -71, -81, -95, -113, -135?\n\"Answer: -2*n**2 - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*j**2 + 86*j**2 - 618*j + 618*j.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -155 - -232. What is the smallest common multiple of 63 and q?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53954180 divided by -358\nAnswer: -150710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-8 - (-8 + -4)) - -8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13\/7 - 51\/35. Let x = 10 + -7. What is the nearest to r in -1, x, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**3 + q**3 + 743*q + q**3 - 308*q - q**2.\nAnswer: -2*q**3 - q**2 + 435*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 + 20. Suppose -1922 + 1466 = -4*q. What is the greatest common factor of y and q?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 - (-58 - 20) - (7 + 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**5\/30 - 17*w**3\/6 + 14*w**2. Let p(b) = -b. Determine k(p(v)).\nAnswer: -2*v**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10604 + -5037. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -899 + 985. What is the greatest common factor of 344 and o?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -363 + 1086. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4288314 is divided by 957.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/13 and 53\/3786660?\nAnswer: 49226580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 850 and -95.984.\nAnswer: 754.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -206, -695, -1470, -2531, -3878, -5511, -7430?\n\"Answer: -143*y**2 - 60*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/8 + (-3627)\/(-52) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i\/i**10*i*i)\/i))\/(i\/i**(-6\/11)) assuming i is positive.\nAnswer: i**(82\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24.8 - 25.3. Let j = 0.03 + 0.02. Let f = -0.15 - j. Which is the closest to f? (a) m (b) 0.4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35041300 rounded to the nearest 1000000?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 86, 78, 68, 56?\n\"Answer: -l**2 - 5*l + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/8 - 75*r\/8.\nAnswer: 3*r*(r - 25)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (55\/25 - 1)\/(2\/15). Let y(z) = -z**3 + 9*z**2 - 2*z + 16. Let g be y(d). Which is the nearest to g? (a) -3 (b) 4 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355788153.\nAnswer: 3, 7, 29, 139, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/22721046 and 23\/11360523.\nAnswer: 22721046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scx when three letters picked without replacement from {c: 1, x: 3, h: 6, s: 2, w: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4469027, 8938055, 13407083, 17876111?\nAnswer: 22345139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/18 and -35\/699?\nAnswer: 4194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 127969\/7 + -18461. Let k = h - -180. Let y = 222 - 221.6. Which is the closest to 1\/2? (a) k (b) 1\/2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53019 divided by -1.\nAnswer: -53019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 17. Let k be z(15). What is the third derivative of 121*y**k - 302*y**2 - 38*y**6 + 140*y**2 wrt y?\nAnswer: -4560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + 13. Suppose 8*f - 4 - 12 = 0. What is the smallest common multiple of f and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s. Let f(v) be the second derivative of v**6\/360 + v**4\/6 - v. Let c(z) be the third derivative of f(z). Determine c(j(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 368 divided by -16\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.2 times -35?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2500560 + -2500561.300003. Let j = r - -1.3. Round j to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -63*z**2 - 3*z - 3. What is h(-1)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 54 + 52. Let h be b\/26*-2 - 925\/13. Let p = -68 - h. Solve -f + 12 = 5*s - 0*f, 5*s + p*f - 16 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/3))**(2\/19)*(p*p\/(p**5*p))\/p**(3\/7))**(8\/3) assuming p is positive.\nAnswer: p**(-14360\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 + -21178?\nAnswer: -21170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14603?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -163 or 59456?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, 2, -5, 2\/15, 0.1, 4.276?\nAnswer: 4.276","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -295, -288, -281?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5290 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -544692 divided by 4\nAnswer: -136173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(5\/(-24))\/(90\/(-54))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -90*g**4 + 2*g + 199.\nAnswer: -360*g**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -244740?\nAnswer: -244744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 5. Let v = g + 11. Let k = -229\/22 - -21\/2. What is the nearest to v in k, 3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22019 + -12756. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 9*p**2 + 8*p + 9. Let d be g(-8). Solve 2*s + 3 = 2*t - 3, -4*t = -s - d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 2 - -8)*18\/(-5). Let f be 8\/16 - y\/4. Find z such that -5*z + 164*z**f + 4*z + 7*z + 39*z**2 + 81*z**3 - 143*z**5 + 69*z**4 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 3*n - 4. Determine t(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, 6, 21 in increasing order.\nAnswer: -10, -1, 6, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 4*n + 5*j + 381, -5*n - j = -469. What is the first derivative of -237*d**3 - n*d**3 + 18*d**3 + 95 wrt d?\nAnswer: -939*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8016 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m + m + m - 20 + m. Let k be z(7). Suppose -k = -4*a - a. Solve -2*j = -4*d + 1 - 11, -a*d - 8 = -j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 824649192?\nAnswer: 2, 3, 17, 37, 131, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 9:20 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -86000 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(1\/5)*y\/y**(1\/19)*y)\/((y**(1\/7)*y)\/y**(-1\/10)))**(-33\/4) assuming y is positive.\nAnswer: y**(-66033\/5320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a - 19*a**3 + a - 128*a**3 - 25*a**3 + 144*a**3 - 4*a.\nAnswer: -28*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 10:26 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/21 + 639\/(-140). Let g = l - -21\/4. Find p such that 0*p + 0 - g*p**5 + 0*p**2 + 0*p**4 + 0*p**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 - 431319*t + 2587990. Calculate l(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 193*v**3 - 2*v**2 + 1. Let w be b(1). Let p = -895 - -921. Suppose -p*f + 5*f = -504. What is the highest common divisor of w and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 2 + 4 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75 + -78. Let w be (-28)\/(l + -1) - 2\/2. Let k(f) = w*f**2 + 2*f**2 - 11*f**2. Let o(n) = -2*n. Calculate k(o(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -38014206 + -4\nAnswer: -38014210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4*sqrt(605) + sqrt(40)\/(sqrt(8) + sqrt(40)\/sqrt(5))))**2.\nAnswer: 946125\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 167 - 135.2. What is m rounded to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 w when two letters picked without replacement from {i: 5, a: 3, w: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*-1)\/(3*(-229)\/11679).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71481*g**6 - 2211*g**2 - 25*g?\nAnswer: -8577720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**3 - 174*s**2 + 543*s - 366 = 0. Calculate s.\nAnswer: -61, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 4*r + 50, j = 5*r + 3 + 1. Suppose -4*s - 4 = 0, -5*o + 0*s = -4*s - j. Calculate the remainder when 5 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 5*r. Let x be p(-5). Let s be (-9)\/(-3) - 0\/(-1). Let w = s - x. Solve 4*c + n + 5 = 5*c, 15 = -4*c - w*n for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1037 is divided by 89?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 11*y + 15. Let o be k(12). Solve 5*w + 40 = -3*l, -5*l - 6*w - 40 = -o*w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19790000 rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 - 33. Let j = w - -79. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**2\/11 - 458*i\/11 + 21520\/11 = 0.\nAnswer: -269, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (5 - 5) - 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -38 + 5ca76?\nAnswer: 5ca3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 334714 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92\/138*(-15)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 0*k - 3*k + 4, 0 = -2*f - 5*k - 2. Is f greater than or equal to -1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 582 + -609.3. Let q = -27.2 - g. Are q and 2\/529 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, j: 1}. What is prob of picking 2 c and 1 j?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**2 - 226*n. Let m(r) = 16*r. Calculate t(m(f)).\nAnswer: -768*f**2 - 3616*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -96 + 98. Let f(l) = -3*l**c - l**2 + 0*l**2 + 3*l**2. Let g(s) be the second derivative of -s**3\/2 - 3*s**2\/2 - 18*s. Give f(g(o)).\nAnswer: -9*o**2 - 18*o - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68164031 is divided by 356.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -364014828 by 15693.\nAnswer: -23196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 48, 76, 116, 168, 232?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161301538?\nAnswer: 2, 29, 2781061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 151 + -124. Suppose -24*i - 45 = -d*i. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -31, -53\/12?\nAnswer: -53\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -30551927500 rounded to the nearest one million?\nAnswer: -30552000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 36242441?\nAnswer: -36242439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 633651655 a multiple of 973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313925 is divided by 2012.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258*w = 210*w + 12266448. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -688, 65, 818, 1571?\n\"Answer: 753*f - 1441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -630, -2476, -5542, -9828, -15334, -22060, -30006?\nAnswer: -39172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 3\/60127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -15 (b) 5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/15 - (-1640)\/25. Suppose -b = -0*b - 2*z - a, 281 = 4*b - z. What is the remainder when b is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-100))\/(208\/(-690)). Let p = -3\/260 - g. Let h = -1\/3878 + -86280\/21329. Find the common denominator of h and p.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 4, y: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 206293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177786*w + 177743*w - 1118 = 0 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -1. Let o = 11.82 + -12. Let h = o - 0.12. Which is the closest to -1\/2? (a) -4 (b) h (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95029.95nm to micrometers.\nAnswer: 95.02995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 218815467 to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*c + 56 + 22 = 0. Solve -2*t = 0, c*a = -a - 4*t for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine sixths of a year?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1049 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.8600122 + -8.86. What is w rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7296\/(-88))\/6)\/(-5*(-36)\/(-90)) - 7?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74 and 8268353.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5183 = 336*j + 4329 - 8218 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*m = 0. Let j = m - -3. Suppose -3*x + 2*r + 5 = j*r, 5*x + 3*r = 7. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 267*w + 2*w**3 + 0*w**3 + 269*w to the form j*w + r + v*w**2 + z*w**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -2.5 (c) 0.08 (d) 546\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 5. Suppose 0 = 2*q - 3*q - 5*t + 3, l*q - t - 9 = 0. Solve i + 15 = -3*y, -q*i = 2*i - 5*y - 25 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6012 and 168?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 0*o - o - 12, 0 = -m - 2*o + 9. Calculate the least common multiple of m and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a + 20*a - 2*a + a to the form h*a + l and give h.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/4059 and 27\/47806.\nAnswer: 430254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t. Let l = -11 + 6. Give k(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 171, 400, 725?\nAnswer: 1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7688242 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19261837 is divided by 150.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 202*c + 552. Determine b(-3).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1324172793.\nAnswer: 3, 4547, 97073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 612?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/391 - -409\/2346. What is the nearest to 1\/3 in c, -0.16, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7*r + 47. Let j be g(-6). Suppose -a = -4*z + 15, a + z = j*a - 15. What is the remainder when 18 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 4*v - 19, -6*v - 2 = -2*q - 2*v. Let y(g) = -8*g**2 - 2 + 11*g**2 + 2*g + 1 + q*g**2. What is the lowest common multiple of y(2) and 33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5c (base 13) to base 7\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (126\/45)\/(2\/(-6) + (-119504)\/(-357720)) is divided by 947.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*m - 21335 = -1955. Calculate the greatest common factor of m and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(1*(106\/1272)\/((-1)\/6))*1.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2422 is divided by 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48\/721 in 1\/10, -0.5, 1.7401?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180\/5 + 0\/(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b = 121 - 21. Let z(r) = 25*r**3 - 1. Let g be z(-1). Let x be (-10)\/b*(0 + g\/(-5)). Solve -4*h - x = 5*m, 3*m - 2*m = -1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 12:36 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-8))\/3*(-2)\/(-5)*7\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.244 - 2360.244. Let z = -2359.99029 - k. Let b = 0.01 - z. Round b to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -558.44 + 9.2?\nAnswer: -549.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -1508*k. Let u(w) = 619*w**2. Determine a(u(p)).\nAnswer: -933452*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004113 to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34860?\nAnswer: 2, 3, 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17248*i**4 + 13547 wrt i.\nAnswer: 68992*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -165 - -105. Is l < -57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4116989 to the power of 1\/2, to the nearest integer?\nAnswer: 2029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01012 to four decimal places.\nAnswer: 0.0101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -2. Let f = 1043.1 - 1043. Which is the fourth smallest value? (a) i (b) -4 (c) -3 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2. Let s(c) = -127 + c + 0*c + 131. What is s(d(b))?\nAnswer: -b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - 225 - 5*h + 126 + 77.\nAnswer: -2*h - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-8))\/(4\/(-16)). Let y be 103\/12 - (-3 - (0 + -10)). Which is bigger: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3544804.6 rounded to the nearest 1000?\nAnswer: -3545000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -17*z**2. Let d(u) = 132*u. Calculate m(d(s)).\nAnswer: -296208*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2210 (base 3) in base 16?\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 - 14*q**2 + 2*q**3 + 62*q**2 as y*q**2 + f*q**3 + s*q + x and give y.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 302131 to the power of 1\/2, to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 7*w - 75. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*f + 208*f = -198*f - 3675. Let b(s) = -61*s**2. Let w(q) = 60*q**2. Calculate f*b(x) - 6*w(x).\nAnswer: 67*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 272 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12529288\/8638795 + 2\/65945. Let m = -241\/3537 - f. What is the common denominator of m and (-3)\/2*2\/(-9)*(-16714)\/1918?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u - 25 = 0. Suppose -3*y = 2*y - u. Which is bigger: -1\/11 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371165089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*z - 765 = 0, 4*f + 3*z + 940 = -f. Let j = f - -339. Is j a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 226 + 29 = 0. Let i = 363 - y. Calculate the highest common factor of i and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ti when two letters picked without replacement from {i: 9, y: 1, t: 1, v: 5}?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 92*8\/(-48)*-63. Calculate the highest common divisor of 84 and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + ((-158)\/38 - -2). Let l = 4\/95 - n. What is the smallest value in l, 5, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -3448*o**2 + 12*o + 15. Let g be v(-3). What is g rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 + -10)*1\/(-2) + 2. Solve -2*h - v = -3*v - 12, 4*h - 20 = y*v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3139097?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-4))\/((-19)\/(-266)). Suppose n + 4*i = 3*i + s, -19 = -n + 3*i. Suppose -11 - n = -7*d. Is d >= 17\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 1)*1 + 3. Solve 0 = -f*v - 0*v - 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 851438 is divided by 17738.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59022599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/8349?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3417188 is divided by 1156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*i)*(110*i - 186*i - 155*i + (3 + 0 - 1)*(-i - 5 + 5) + 3*i + i - 3*i).\nAnswer: 464*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 7*i + 24. Let o = 62 - 58. Suppose -b = 2*b + 2*r - 14, -o*b - 3*r = -18. Solve b*x + i = 4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7696996.\nAnswer: 2, 23, 83663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -32 - 5?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2 - 6, 4 = 3*b + z. Sort 1, -5, 6, b.\nAnswer: -5, 1, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -1 - 2 - 3 - 224*i. Let u be l(-4). What is u rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2051392*u**4 - 107*u + 427?\nAnswer: 24616704*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - n. Suppose 5*d = -39 + 9. Let g(p) be the third derivative of p**5\/30 - p**4\/12 - 2*p**2. Calculate d*t(m) + 4*g(m).\nAnswer: 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/6*15\/(-25)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(-2*w**4 + 665 - 665).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 12:19 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*k + 40 = 5*o, -5*o - 3*k = 0. Let j = -2 + o. Let m be (j*4)\/(11\/33). Solve 0 = -0*q - 4*q + m for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012 - 1010002?\nAnswer: -1000220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 6*u**2 - 2*u + 2. Suppose -o + 26 = 2*z, z = -8*o + 3*o + 121. Let f = 29 - o. What is the units digit of r(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + z**2 - z. Let c(o) = -7*o**2 - 2*o. Let b(t) = -c(t) - u(t). Suppose 0 = 3*s - 0*s + 3, p - 2*s = -3. Does 5 divide b(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 + (4 - 8) + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9162.6 - 9163. What is the second smallest value in 54, 4\/23, q, 3?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1123, -5262, -12153, -21802, -34215, -49398?\nAnswer: -67357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -3.2. Let v = r + -3.8. Which is the closest to -0.2? (a) 1 (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-252)\/(-81) - 5 - (-6)\/27?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12654 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22750?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*l**2*t**3 - 2*l**2*t**2 - 19*l**2 - 5*l*t - 10104*l - 1 wrt t?\nAnswer: 36*l**2*t**2 - 4*l**2*t - 5*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 15) to base 14\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -15 - 4*l + 1601*l**3 + 26 - 12 - 2*l**2. Let m be y(-1). What is m rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -312, -1236, -2766, -4896, -7620, -10932?\nAnswer: -14826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6*r + 5. Let m(j) = 7*j + 6. Let f(k) = -5*m(k) + 6*y(k). Let z(a) be the third derivative of -a**4\/8 - a**2. Give z(f(c)).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) -2 (b) -21 (c) 675\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0427 * -4336.\nAnswer: -185.1472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1074512812?\nAnswer: 2, 17, 79, 139, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4*(4 + (2*sqrt(2057) - sqrt(2057)) - (3*sqrt(2057) + 4 - sqrt(2057)))*-4*3)**2.\nAnswer: 4739333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, c: 1, w: 1, o: 1, k: 1, m: 2}. What is prob of picking 1 c, 1 k, and 1 x?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 0*y + 1\/30*y**5 + 0*y**7 + 1\/336*y**8 + 0*y**4 + 0*y**6 + 0*y**3 + 0 + 3*y**2. What is the third derivative of i(f) wrt f?\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**3 + 5*w**2 - 2*w + 4. Let s(u) = -2*u**3 + 5*u**2 - 3*u + 3. Let g(d) = -3*f(d) + 4*s(d). Factor g(r).\nAnswer: r*(r - 1)*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmfmmfffmmfmmm. What is prob of picking 2 f and 2 m?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hn when two letters picked without replacement from {h: 7, j: 4, x: 1, k: 2, n: 2}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 c when two letters picked without replacement from {q: 1, k: 1, g: 3, c: 1, l: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 223 and 47280?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 22*u**3 - 11814*u**2 + 6*u - 3220. Calculate t(537).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8422 - 8422 - 5*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -18321*o**2 + 18071*o**2 + 12272*o**2 in the form s + g*o**2 + b*o and give g.\nAnswer: 12022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*d**3 - 5*d**3 + 5*d**3)*((2 - 1 + 2)*(1 - 1 - d) + d + d + 0*d) in the form w + u*d**2 + n*d**4 + l*d**3 + i*d and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 78919000 to the nearest 1000000.\nAnswer: 79000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 138759.512 rounded to the nearest 100?\nAnswer: 138800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - (28 + -19 - 20) - -2 - (-9 + -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10685 - -10683.385. Is v >= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -p - 18. Suppose p = r - 0. Suppose -h - 7 = -3*b, 16 + 5 = 5*b + r*h. Solve -b*j + 0*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 5*t + 33, -l = -0*l - 2*t - 33. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -6*x**2 + 11*x + 12. Let q = -33 + 15. Let j = -36 - q. Let d(l) = -21*l**2 + 39*l + 42. Let k(b) = j*a(b) + 5*d(b). Find i such that k(i) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (58 + 26 - 22)*(-15*y - 29 + 29)*(-y**2 + 4*y**2 - y**2) to the form g*y**2 + q*y**3 + b*y + u and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 4*v**2 - 3. Let p be a(-3). Suppose 0 = -2*z - 0 + p. Suppose 0 = 5*r - z*g - 376, r + 3*g - 4*g - 74 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/25789 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 141405?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22\/55*(2 - 12). Let v be (k\/6)\/(3*10\/15). Let i = -58 + 289\/5. Which is the smallest value? (a) v (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 + -22. Let h(g) = -7*g - 1 + 13*g**2 + 3*g - o*g - 10. Is h(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/81 and 68\/189.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -1121*z**2 + 3 + 563*z**2 + 5*z + 559*z**2 - 3. Suppose -4*l = 4*c, -4*l + 3 + 12 = -c. Let b(q) = -4*q + l*q + 2*q. Give -15*b(g) + 3*p(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2*q)**(3\/2)*q**(4\/13)\/(q*q**(1\/9)\/q) assuming q is positive.\nAnswer: q**(1099\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.786342617 rounded to one decimal place?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9920 and 5247680.\nAnswer: 5247680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 68*r**2 + 51*r - 3463. Let k be u(68). Solve 5*i = -a + 36 - 26, 0 = -a + k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(0 + (-12)\/(-9)). Is (-182)\/r - (-1)\/2 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 16 = d, -2*y - 2 = 3*d + 16. Let x be 0\/(-3 - 0) + 4. Suppose -b + 4 = 3*b. Sort b, y, x in descending order.\nAnswer: x, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 272049286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 613867.\nAnswer: 37, 47, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xsuesuspxru. Give prob of picking 1 x and 3 s.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2803278 to the power of 1\/4, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3573.0009086 + -3573. Round x to five dps.\nAnswer: 0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2*n - 116, 3*s - 3*n + 40 = 121. What is the remainder when 648 is divided by s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 32939*j - 131850. What is n(4)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*d**3 - 245 + 531 - 287.\nAnswer: 149*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -79603, -159199, -238795, -318391, -397987?\n\"Answer: -79596*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 232?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.189 and 31.\nAnswer: 5.859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1134 is divided by 373.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(11) + -4)*-6.\nAnswer: -6*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1915408 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of y**6 - 200576493*y**5 + 140*y**2 - 536264*y wrt y?\nAnswer: 120*y**3 - 12034589580*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 274488610527 and 0.6?\nAnswer: 274488610526.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3 - (83 - -6))*(-2)\/4 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 4*y - y)*(-3*y + 1 - 1) - y**2 - 4*y + 4*y + (-y**2 + 0*y**2 - y**2)*(-3 + 4 + 1).\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 55 = 2*g. Let h = 12 - -15. Is h at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3722 + 3725 + 2*z**2 - 3*z**2.\nAnswer: -z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -7*g + 37*g - 5018 + 5909 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 - -0.4. Let y = 0.45 + -0.15. What is the nearest to 2 in y, i, 1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h. Let d(m) be the second derivative of -m**6\/120 - 7*m**4\/8 + 125*m**3\/6 - 240*m. Let c(u) be the second derivative of d(u). Calculate b(c(n)).\nAnswer: 3*n**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8331*d**2*r*t + 31*d**2*t**3 - 25*d*r*t**3 - 2*d*r*t**2 + 2*t**4 wrt t.\nAnswer: 186*d**2 - 150*d*r + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(77)*2)\/((sqrt(42) - (sqrt(378) + sqrt(42) + sqrt(42)))\/sqrt(6) - sqrt(7)).\nAnswer: -8*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 2*h - 126, 3*t = 2*h + h + 111. What is the highest common factor of t and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -1 - (0 + 5 + 25 + -16).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 11 - 40)*(-21*h - 23*h - 45*h) to s*h + y and give s.\nAnswer: 1780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-1 - (3 + -11))*(-7006)\/(-434). Solve -32*k - r = -271 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*h + 24 = 26*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (10 + 6 + -18).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/4)\/((-1)\/4). Let x be ((-16)\/d)\/(2\/3). Suppose -3*o - 50 = -x*c - 6, 4*o = 5*c - 54. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 74478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(704) + (5 + sqrt(704)*1)**2 - (sqrt(704) + sqrt(704) + -4 + sqrt(704)*-2)**2).\nAnswer: 88*sqrt(11) + 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**2 + 5. Suppose 0 = -3*f + 5*f - 34. Suppose 5*c + f = -3. Let p(o) = 0*o**2 + 3*o**2 - 4 - 5*o**2. Determine c*h(k) - 5*p(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5 + 27 = 0. List the prime factors of (-212)\/(-3) - (u\/(-6) + 1).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p + 63 = 184. Let y = 34 - p. List the prime factors of y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-496)\/(-7130))\/((4\/5)\/2))\/((-16)\/(-2))\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282, 758, 1546, 2646?\nAnswer: 4058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 243 = -336*j + 341*j, -2*w - 5*j = -333. Suppose 2 + 238 = 5*s. What is the greatest common factor of s and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*l + l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 1, 3\/4, -51, -157, 0, 2\/7?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, k: 7}. Give prob of picking 4 k.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2160)*-1)\/(sqrt(192)*-3).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-3)\/(507\/104))\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, l: 1, t: 1, q: 1}. What is prob of picking 2 q and 2 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1583*k - 540 = -1553*k for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34497010 by -2.\nAnswer: 17248505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 126264.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 780352974 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*u**2 + 6*u**4 - 4*u**3 - u**4 + 122*u**2 + u + 0*u**3 - 3*u**4 to the form a + g*u + r*u**2 + j*u**3 + z*u**4 and give r.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16094 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 - 2*f**3 + 3*f**3 + (-5*f**2 - f**2 + 4*f**2)*(3*f - 2*f - 4*f) - f**3 + 1 - 1)*(-4*f + 7*f - f) - f**4 - 4*f**2 + 4*f**2.\nAnswer: 13*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5920, -5883, -5846, -5809, -5772, -5735?\nAnswer: -5698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/1)\/((-116)\/24 - -5). Let h be ((-20)\/30*j\/4)\/(-3). Factor -2\/3*m**3 - h + 1\/3*m**5 - 1\/3*m**4 + 2\/3*m**2 + 1\/3*m.\nAnswer: (m - 1)**3*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1724.1949817 rounded to two dps?\nAnswer: 1724.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1858 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-12)\/n)\/n*n*n*(n\/(n**15*n)*n)\/n*(n*n**(-2\/15))\/n*n**18*n assuming n is positive.\nAnswer: n**(-107\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5643044174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -14, -314, -1, 1, 462, -5?\nAnswer: 462","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -4612?\nAnswer: 4612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4153*j + 3720*j - 4001*j to a + o*j and give o.\nAnswer: 3872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 24*p**3 - 1 + p**2.\nAnswer: -24*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.18 at most -208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891) - (-3 + sqrt(891) + -4 + sqrt(891)) - (sqrt(891) + (sqrt(891) - sqrt(891)*-4) + 2 + sqrt(891)).\nAnswer: -72*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1426600 to the nearest 10000.\nAnswer: -1430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 3*u**2 - 5*u + 3. Let p be y(-4). Suppose 247 = 5*n + 37. What is the highest common factor of p and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -903970948?\nAnswer: -903970947.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(40)\/sqrt(4)) - (sqrt(3) + (sqrt(3) + 1 + 2)**2).\nAnswer: -12 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -17, 4, -789, 1 in descending order.\nAnswer: 4, 1, 0, -2, -17, -789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 + 2)*(-1 + 4 - 1)*(-w + 2*w - 3*w - 3*w + 4*w + w - 1 + 1 - 2*w + (-2*w + 0 + 0)*(1 + 3 - 2) + w + w - 4*w + 0*w - 2*w + w - w - 2*w + 0*w).\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 + 271\/6. Let a(q) be the third derivative of 0*q + 1\/12*q**4 + 0 + o*q**3 + q**2. What is a(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180 and 612?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 + 107*c**3 - 110*c**3 - 42.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 36\/31, 3\/2, -24, 2, -39\/8.\nAnswer: -24, -5, -39\/8, 36\/31, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-783947 + 783947 - 397*c)*(17 - 31 + 24).\nAnswer: -3970*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22078 - -11878. Round r to the nearest one hundred.\nAnswer: -10200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, 1\/234, 11, 2\/3 in increasing order.\nAnswer: -56, 1\/234, 2\/3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 181 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 85\/15)\/(12\/36)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 3*t - 4. Let u be h(4). Let z(q) = 2*q**2 - 4. Let b be z(-2). Suppose -3*g = -5*g + b. Put g, 3, u in decreasing order.\nAnswer: 3, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(4\/8*2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1130595282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -4948863?\nAnswer: -4948862.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2659593.534 rounded to the nearest 10000?\nAnswer: 2660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26790?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -605367?\nAnswer: -605367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**2 + 6*h - 3. Let d(r) = -28*r + 8*r**2 + 71*r + 7 - 56*r. Determine -6*d(o) - 13*y(o).\nAnswer: 4*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 70090769 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2586?\nAnswer: 2, 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 524 + -816. Let a = -137 - n. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1505*z - 52469*z**2 - 52478*z**2 + 104949*z**2 to n*z**2 + i + a*z and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8746430, -8746422, -8746414, -8746406, -8746398?\n\"Answer: 8*k - 8746438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 320 divided by -32\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11989 (base 10) to base 6.\nAnswer: -131301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -673, -1465, -2369, -3385, -4513, -5753, -7105?\nAnswer: -8569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -888264 - 100*n**3 + 888264 - 118*n**3.\nAnswer: -218*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 17*r**2 + 78*r - 63. Is a(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*f*g**2*k + 20*f*g**2 + 634*f*g + 5880*f*k + 3*g**2 + 2*g*k wrt k.\nAnswer: -14*f*g**2 + 5880*f + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 5*j**2 - 3*j - 2. Let k be w(4). What is i in -2*i + 0*i**2 + k*i**2 - 2 + 2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 8 = 2*k + 7, 0 = 2*h + 2*k. Suppose -12496 = h*g - w, -2*w - w = 12. Let m be (-4*53)\/(1\/g). Round m to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4020*w**2 + 83*w - 6. Let p(v) = 8041*v**2 - 180*v + 13. What is 13*m(y) + 6*p(y)?\nAnswer: -4014*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105 and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/10*(136\/(-8) + 22).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 3*b - 2. Let g be o(-4). Let i(l) = -l**2 + 6*l. Let x be i(6). Suppose 0 = g*m - x*m - 34. Calculate the remainder when m is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3091127653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2656 divided by 8?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2 - 1388*t - 19036. Determine m(-680).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -1\/30*y**7 - 4*y**2 - 11\/60*y**5 + 0*y**4 + 0*y**3 + 0*y + 0 + 0*y**6. What is the third derivative of b(i) wrt i?\nAnswer: -168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7 - -12196) + 32\/8?\nAnswer: 89, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 124099830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 480, 522, 548, 540, 480, 350?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5791674 is divided by 1787.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4*-1*sqrt(76) + (sqrt(76) + (sqrt(76) - (-1*sqrt(76)*4 - sqrt(76))) - sqrt(76))))\/((sqrt(40) + (sqrt(280)*1)\/sqrt(7))\/sqrt(10)*3).\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*b - 86249 = -88013 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 2*n - 2. Let r be z(-3). Suppose -v = -r - 4. Suppose 5*f = -3*t + v, 4*t = -0*t - 20. Solve -5*o + 23 = f*h, -o - 5*h + 7 = -3*h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-7)*p*p**(-24))\/(p**19\/(p*(p\/(p**(-8)*p))\/p)) assuming p is positive.\nAnswer: p**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 16013623 to the nearest one hundred thousand.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i - 4 + 4 + (0*i + 0*i - 2*i)*(0 - 2 + 3) + 0*i - i - i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**5\/20 - 5*k**4\/12 + k**3\/3 - 18*k**2. Let m be w(4). Solve 4*o - m = -30 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r + 792723*r**2 - 7*r**3 + 792717*r**2 - 1585440*r**2.\nAnswer: -7*r**3 + 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**5\/2 - 820*n**4 + 275834*n**3 + 50392643*n**2 + 2062279435*n\/2 - 1081807375 = 0.\nAnswer: -110, -25, 1, 887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - 3*j**2 - 3*j**2)*(8*j**2 - 8*j**2 - 5*j**3) + 2*j**5 + 0*j**5 - 3*j**5.\nAnswer: 24*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 3*f + 2*f = -21, w = -5*f - 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2. Let h be d(-3). Suppose -w - h = -27. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 297025316?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 - ((11 + -25 - -13) + 26)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -68, 5, 3 in increasing order.\nAnswer: -68, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 191741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -338 - -338.031. Round p to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 1 - (494 - 467).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4381 and 1.8.\nAnswer: -7885.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5420.\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 884\/144 - (6\/8 + 0) and 1\/4 - 27\/(-5).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20500*r**3 + 11741*r**2 + 279435674*r wrt r.\nAnswer: 123000*r + 23482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 147812, 147788, 147778, 147788, 147824, 147892?\n\"Answer: v**3 + v**2 - 34*v + 147844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 211 = -2*s - 201, -5 = -4*s + x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1078 and 592823?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 1253 - 11312. Which is smaller: w or -1438?\nAnswer: -1438","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 736 - 734. Suppose 3*y - 9 = -0*y. Solve -5 = y*v - h*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(187) + (sqrt(187) - -2*sqrt(187) - sqrt(187))*-2 + sqrt(187)))\/(-2*sqrt(1584)*1))**2.\nAnswer: 425\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9025*x**4 - x**2 + 12*x + 6.\nAnswer: -216600*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a. Let u be o(-1). Let z = 12 + -14. Suppose -2*d + 2*t - 30 = 6*t, 5*t = -25. Sort z, d, u in descending order.\nAnswer: u, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6936007.\nAnswer: 13, 19, 28081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/10)\/(s\/s**3))**3)**(-2\/31) assuming s is positive.\nAnswer: s**(-69\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**9\/15120 - h**7\/2520 + h**4\/12 - h**2. Let u(v) be the second derivative of m(v). Find the third derivative of u(j) wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l**2 - 505*l + 86. Let k be s(84). Sort k, 4, -8, -5 in decreasing order.\nAnswer: 4, k, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5450 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -1\/4, 0.1, -2\/3, 2\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -11033?\nAnswer: -11040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000741656 rounded to five dps?\nAnswer: 0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/(v\/v**(-6))*v*v**(-2\/3)\/v*v**5*v*v*v\/v**(6\/5)*v assuming v is positive.\nAnswer: v**(32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/10)\/(-8)*201756\/(-731).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -118bb (base 14) to base 7\nAnswer: -236024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -13*r**2 - 531*r - 58. Is 3 a factor of g(-39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 - 7*o + 5. Let z(h) = -4*h - 28. Let b be z(-8). Let v be u(b). Suppose -10*j + 88 + 12 = 0. Which is smaller: j or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38692210\/9 not equal to 4299134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 12573*r + 653739. Give v(-52).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v - 6*v**2 + 116*v**3 - 118*v**3 - 302*v**4 + 1 + 6*v**2 + 2*v**2 in the form x*v**2 + j*v**4 + a*v + d + i*v**3 and give j.\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*u - 5 - 23*u - 93*u**2 - 3 - 6 to the form s*u + h + f*u**2 and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.78 - -0.06. Let q = 0.22 + s. Let c = -108 + 104. What is the third smallest value in c, -0.3, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 5) to base 4\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(125))**2*-2*-5.\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -183, -289, -395, -501?\n\"Answer: -106*f - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p = 70. Suppose -l = -3*l - p. Let n = -17 - l. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 378*n - 1255 - 2525. What is the highest common divisor of 6335 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1005, -3961, -8845, -15657, -24397, -35065?\n\"Answer: -964*w**2 - 64*w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2256 or 2692?\nAnswer: 2692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 27\/4 of a micrometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 5 - 20*t + 3 to the form c*t + d and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005927 rounded to five dps?\nAnswer: 0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -3*t**2\/2 + 6*t - 4. Let g be w(-8). Solve x - g = 5*k + 3*x, 12 = 2*k - 4*x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/5 (b) 21\/11 (c) 0.092\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2320*k**3 - 3581*k**3 + 694*k**3.\nAnswer: -5207*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mrim.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -w**4\/6 - 10*w**3\/3 - 25*w**2 - 274*w. What is q in j(q) = 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2106 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**15)\/((p\/(((p\/((p*p*p**9*p*p)\/p))\/p*p)\/p))\/p*p))\/((p**3\/p)\/p*p**7))**45 assuming p is positive.\nAnswer: p**(-225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 20 + 3 + -3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**3 + 20*r**2 + 17*r + 2. Let z(g) = 2*g**3 - 13*g**2 - 11*g - 1. Let s(a) = 5*n(a) + 8*z(a). Calculate s(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 593902 or -114?\nAnswer: 593902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z**2 - 363. Let j(r) = -2*r**2 - 121. Calculate 11*j(y) - 4*s(y).\nAnswer: -2*y**2 + 121","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 708639.1 kilometers to micrometers.\nAnswer: 708639100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kaqpkalklkiaip. Give prob of picking 1 q and 1 a.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -30*v**2 - v + 1. Let g be f(3). Let b = -39130 + 275818\/7. Let i = g + b. Which is smaller: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**2 - 3*w. Let l be f(2). Suppose k + 3 + 4 = 0. Let d(b) = b**2 + 7*b + 3. Let u be d(k). Solve 2*x - u*t = -t - l, 3*t - 9 = -3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 324*b*s**3 - 102233*b*s - 5*b + 24*s**3 - s**2 wrt s.\nAnswer: 1944*b*s + 144*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -31256 (base 7) to base 5\nAnswer: -221220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32079480 a multiple of 2360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -149, -0.12, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**4\/w**(-16))\/(w\/(w*w\/(w*w**(-4))*w))**(-7\/3))**(-1\/32) assuming w is positive.\nAnswer: w**(-25\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -6. Let l(r) = -r**2 + 8*r + 5. Let c be l(p). Suppose -c + 1 = -2*d. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3747 - 1971 = -444*n. Let v be (2\/(-3))\/(3\/(-9)). Let g = 14 + -21. Sort n, v, g in increasing order.\nAnswer: g, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-21) + (-95)\/(-35). Let i = 19 - l. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-7)*l**(2\/27))\/(l**(-2\/3))**(1\/25))**(1\/32) assuming l is positive.\nAnswer: l**(-4657\/21600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10825 + -10759. What is the greatest common divisor of 2134 and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/(-1 + -2))\/(-162 - -164). Solve i = -3*j + 24 - 27, -x = -5*j - 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 60 = -r. Let g(c) = 7 + 4 - 2*c**2 - r. Let q(j) = -2*j**2 + 4. Let h(n) = n**3 - 10*n**2 - 8*n - 28. Let z be h(11). What is z*g(u) - 6*q(u)?\nAnswer: 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 26*y**2 + 53*y - 64. Let s be g(-28). Suppose -3*t = -5*h + 43, 2*h - s*t = -25*t + 42. What is the greatest common divisor of h and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -27, -40, -53, -66, -79?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*r - 12 = 0, -r = 3*a - 6 - 0. Suppose 4*l = a*l + 94. Calculate the remainder when l is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/13 + 148*u + 35594.\nAnswer: 2*(u + 481)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + sqrt(1944)*-2 - 1*sqrt(2904))\/(-2*sqrt(56)\/sqrt(7) - (sqrt(8) - sqrt(32)\/sqrt(4)*2))*3.\nAnswer: 84*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - 1. Let v(r) = 2*r**2 + 2*r + 1. Let u(z) = 3*z**2 + 2*z + 1. Let k(j) = -3*u(j) + 4*v(j). Let l be k(2). Give c(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -107*u + 110*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27667826257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 11 = 3*n. Let a = n - 7. Let s(z) be the second derivative of z**5\/4 - z**4\/12 + z**3\/6 - z**2\/2 - z. What is s(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -700 = -4*s - 4*z, -3*s + 148 = z - 369. Let a = s + -91. Suppose 2*h - 218 = a. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 5*i - 3. Let o be r(4). Let h be (-2)\/o + (-6)\/21. Let f = -0.02 - -0.32. Sort 1\/7, h, f in ascending order.\nAnswer: h, 1\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 4011 = -3416. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-9)\/255*-17)\/((-1)\/(-7505))?\nAnswer: 3, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -189.101, -5, -3.\nAnswer: -189.101, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 938.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8685179?\nAnswer: 691, 12569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 9443546*i - 1 + 4*i**3 + 9443546*i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from vvvffvvvvvvvvfvv.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32568\/13 + -2473959\/988. Find the common denominator of l and 81\/152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-2))\/(1\/8). Let t(f) = f**3 + 4*f**2 - 7*f - 6. Let p be t(n). What is p rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-3)\/(-4))\/3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*m + 15 + 27, -3*x - 24 = -2*m. Solve 19 = 2*d + m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*n - 36. Let v = n - -12. Let p = v + 0. Let u(r) = r - 9. Calculate u(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6*g**3 - g. Let u be j(-1). Sort u, 0, -2.\nAnswer: u, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 22555, 45090, 67629, 90172, 112719?\n\"Answer: 2*b**2 + 22529*b + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*r - 108*r = 27. Suppose 0 = -3*v - 2*v + 15. Solve 3*n - 7*n + 5*i = -31, v*n - 5*i - r = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**5 - 82*b**4 - 1833*b**3 - 6084*b**2 = 0?\nAnswer: -39, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1294517 and 1414.\nAnswer: 2589034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.41, -37 in decreasing order.\nAnswer: 0, -0.41, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*q = 60, 0*n - 3*n - q + 201 = 0. Suppose v - n = -0*v. Is v a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6210 and 59.\nAnswer: -366390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6\/35 + -34\/35. Let y = 6255.7 - 6256. What is the closest to b in y, 0.5, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c + 8*c = 38880. Suppose -115*h + 111*h + c = 0. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 + 944*c - 1262. What is x(0)?\nAnswer: -1262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 11. Suppose 10*w - 8*w + 14 = -4*z, -5*w = 5*z + 10. Put p, z, -1, 2 in decreasing order.\nAnswer: 2, -1, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*a + 30, -5*s - 38 + 8 = -a. Let j(n) = -a*n**2 - 10*n - 107 + 57 + 57 + 0*n**3 + n**3. Calculate j(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1097, 2206, 3315, 4424, 5533?\n\"Answer: 1109*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 41810+-197\nAnswer: 41613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.076 + -9.324. Let y = -9.36 - w. Are y and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -111\/4 - -28. Let p = -1.56355 - 0.03645. Put o, p, 0.01 in increasing order.\nAnswer: p, 0.01, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 10*t**2 + 4*t - 2. Give u(-10).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, 6, 46, 124, 252, 442, 706, 1056?\nAnswer: 1504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60531461*t**6 - 42377160*t**2.\nAnswer: -7263775320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -440.18.\nAnswer: -442.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**11\/831600 - i**9\/50400 - i**8\/25200 + 23*i**5\/60 + 16*i**2. Let f(g) be the third derivative of l(g). Factor f(y).\nAnswer: 2*y**2*(y - 2)*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2934725, 5869451, 8804177?\n\"Answer: 2934726*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(-40)*-5*4*9\/42?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*i**6 - 6*i**4 - 226*i**2 + 1.\nAnswer: 3480*i**3 - 144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0297 - -3.0297. Let s = 63 - 66. Which is the second smallest value? (a) -4 (b) s (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*2 + (-280)\/(-14). Which is smaller: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**2 + 0 + 2*b - 1\/12*b**4 - 1\/2*b**3. Calculate r(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 1 + 5 = 0. Let m(x) = 4*x**l - 2*x**3 + x**3 - 4 + 2*x**3 + 3*x. Determine m(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k**2*q**5 + 9*k**2*q**2 - 42553*k**2*q + 25*k**2 + 55193056*q**3 wrt q?\nAnswer: 180*k**2*q**2 + 331158336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 6:28 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 11*l**2 - 11*l - 6. Let d be 10\/3*(-9 - -6). Let n be p(d). Suppose -n*r - 30 = -82. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 9*u**4\/4 + 3*u**2\/2 + 2*u - 4. Let j be q(-1). Let p(g) = -g**3 - 8*g**2 - 13*g - 4. Does 18 divide p(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 94.39 from -1197.\nAnswer: -1291.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (22 - 10)*(-21)\/(-12). Let l(q) = -q + 1. Let n(p) = 3*p + 2. Let y(o) = -2*l(o) + n(o). Let r(j) = -j. Determine s*r(b) + 3*y(b).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t - 2. Suppose 3*i - 6*i = 2*a - 4, -a + 13 = -4*i. Give x(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 21*t - 164. Determine q(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 952752.\nAnswer: 2, 3, 23, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -2*r - 3*r. Suppose -5*w - 2*d - 60 = 0, w - 3*d = 6 - 1. Let z = r + w. Calculate the smallest common multiple of z and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*y + 6*y + 2*o + 56 = 20*y + o, o = -2*y - 5*o + 80 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -3\/8 (c) 4 (d) -201 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2512*o + 2514*o + 5*u + 6 = 0, -o = u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -11. Solve 5*a = -2*n - 0*n - r, -a - 4*n + 4 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -1\/3, 1\/9, 2\/21 in ascending order.\nAnswer: -31, -1\/3, 2\/21, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-1)\/2 + -13. Let o be 4\/(-6)*n\/2. Sort -3, o, 0 in decreasing order.\nAnswer: o, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by -36\nAnswer: 23\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -5\/3*n**3 + 0*n + 0 - 1\/60*n**5 + 12*n**2 + 0*n**4. What is the first derivative of g(k) wrt k?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 11*o**2 + 34*o - 50. Let b be w(12). Let z = b - 178. What is the highest common factor of 192 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*p = -14, -10 = -5*d + 3*d - 4*p. Solve -3*x + 5 = 4*q, -q - 10 = d*x - 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.7 (b) 1 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 4*j - 4. Let i be y(5). Suppose -2 = -m - i. Calculate the common denominator of m and (3\/(-20))\/((-12)\/430).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 11850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -101 - -101. Suppose -2*j - 2*r + 32 = y, -3*j + 2*r + 24 = -j. What is the greatest common divisor of 28 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141432.4 times 113?\nAnswer: 15981861.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7273988*j**6 + 10*j**2 - 12*j - 1613?\nAnswer: 872878560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 76\/95 - 8\/10. Let v(w) = -w**2 - w. Let m(n) = -2*n**2 - 3*n + 3. Let z(l) = -m(l) + v(l). Let q be z(-4). Solve q*c - 2*d + 32 = d, 2*d - 8 = o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8475 is divided by 1920?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2935 + 1025 = -2*q, 0 = 2*o + q - 1988. Calculate the highest common factor of o and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1042014605 divided by -5.\nAnswer: 208402921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -1752*p + 1754*p. Calculate the highest common divisor of p and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417176300 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 284*g. Let o be q(-4). Let r be o\/(-10) - 6\/(-15). Suppose 5*n - r = -19. Is 19 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (12\/588)\/(24\/(-28)) and 74\/279.\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -55927017?\nAnswer: -55927017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*j**2 + 22*j**2 + 28*j**2 + 20*j**2 + 28*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 1:16 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05265722127 rounded to four decimal places?\nAnswer: -0.0527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16 or -185\/11?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-945)\/(-175) + (-16)\/(-10)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, 34, 227, 498, 847?\nAnswer: 1274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 h when two letters picked without replacement from huwsi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 259 + -259. Suppose -t - 66 = -w + 81, -w - 2*t + 147 = y. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-1\/12)\/s)*s*(s**(-4\/11)\/s*s)\/s)**17 assuming s is positive.\nAnswer: s**(3859\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/119085 and 63\/34?\nAnswer: 238170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 170 - 75. Suppose z + 1 = -3*k. Let j = k + 41. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 34. Let l be 8\/b*5\/2. What is the second derivative of 4 + w + l*w**2 - 4 wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 8*q - 24. Let c be ((-3248)\/(-84))\/(q\/(-6)). Suppose 5*k - 131 + c = 0. Solve -h = -0*h + 3*w - 10, k*h + 3*w - 6 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -366, -730, -1094, -1458?\nAnswer: -1822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 332\/1211 + 2\/173. Let x = 14 + -10. Which is the nearest to m? (a) 5\/2 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -374, 0, -5, 7 in decreasing order.\nAnswer: 7, 1, 0, -5, -374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 202113322 (base 4) to base 13\nAnswer: 4c114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1449 or -1450?\nAnswer: -1449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.621381ug in tonnes?\nAnswer: 0.000000000000621381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 5*a - 13 = 5*l, l - 5*a + 3 = 0. Solve 6*u - 4*u - 12 = l*r, -2*u - r + 3 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 - (45 + 40) - -98?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 70073916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*z + 283 - 337. Let i(n) = -12*n**2 - 6*n + 6. Let c(g) = -12*g**2 - 5*g + 5. What is z*c(t) - 5*i(t)?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 + 0 - (15 - 5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2. Let j(n) = -7*n + 4879. Give j(x(r)).\nAnswer: 7*r**2 + 4879","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*w - w. Let c be (8\/w)\/(1\/(-30)). Let r = -34 + c. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -l + 3*j + 33, 5*l + 5*j + 2 + 36 = -37 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(24\/(-30))*4\/10. What is the second smallest value in 0.4, q, -30?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -267*b**3*n**5 - b**3*n**2 - 9*n**5 - 10658*n**2 wrt n.\nAnswer: -16020*b**3*n**2 - 540*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 16 = 16. What is the closest to 20 in -4, -2\/11, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (-17 - -1) + 32.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 92792 divided by 1\nAnswer: 92792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/5)\/(a**(-1\/6)\/a)*(a**(-2\/9))**43)\/((((a**(-1\/4)*a*a)\/a*a)\/a*a\/(a*a*a**(-5)*a)*a)\/(a*a**0\/a*a)**12) assuming a is positive.\nAnswer: a**(-97\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 8 = 0, 2*p - w = -0*w + 20. Let t(i) = -i + 4*i - 4*i - p. Give t(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 4:56 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 118 - -82a5a?\nAnswer: 83077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n. Suppose 0 = -14*v - 70 - 14. Let p(a) = -8*a - 1. Let g(w) = 2. Let s(k) = v*g(k) - p(k). Calculate s(o(b)).\nAnswer: -24*b - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -310, -442, -662, -970?\n\"Answer: -44*b**2 - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13, -36, -79, -116?\n\"Answer: 3*n**2 - 58*n + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9275.666 millilitres?\nAnswer: 9.275666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 142*j = -7*g - 2*g - 139*j - 9, -4*j + 12 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a - 2*a)*(-a**2 + 0*a**2 - a**2) - a**3 + a**3 - 2*a**3 + 5*a**3 - 6*a**3 + 6*a**3 - 2*a**3 - 2*a**3 + 2*a**3.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 66300 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11 - -18)\/((-2)\/(-2)). Suppose y*b + 3 = 94. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7616 take away -13752.789?\nAnswer: 6136.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*j = -2 + 1, -2*j - 16 = 2*x. Let b(n) = 2 + 0 - 6*n**2 - n**3 + 0*n - 5*n + 1. Determine b(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4 (b) -0.37 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4613?\nAnswer: 7, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 3*k**2 + 4*k + 4. Let q(d) = -19*d - 47. Let f(a) = 9*a + 23. Let w(b) = -13*f(b) - 6*q(b). Let p be w(-7). What is the units digit of s(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y + 15 = 16*y. Suppose -y*n = -3*n. Solve 6 + n = 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2060576 to the power of 1\/2, to the nearest integer?\nAnswer: 1435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6 - 1 + 0 + 2*p. What is the remainder when f(6) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w**(2\/5)\/w)\/w*w*w)\/(w\/w**(-1\/6)))**20 assuming w is positive.\nAnswer: w**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3*w - 6*w + 3*w + 17277*w**2.\nAnswer: 17277*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13805550 by 11.\nAnswer: -1255050","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: -4.43468*-27\nAnswer: 119.73636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*v - 23 = -0*b, 2*b - 13 = -v. Let h be (-4)\/20 - 22\/(-10). What is the units digit of (-2 + b)\/(2\/h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -677*w**2 - 14387*w - 4812362.\nAnswer: -1354*w - 14387","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7464189534 to the power of 1\/2, to the nearest integer?\nAnswer: 86396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/15 (b) -2\/13 (c) -3 (d) 2\/7 (e) 5\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 52?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - w = -112. What is the lowest common multiple of 20 and w?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (21 + -31 + 24)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3211 rounded to three decimal places?\nAnswer: 0.321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 1062*j + 403553. Calculate i(-380).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*h + 42*r = 74*r - 35*r - 84, -5*h = -r - 13 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t - 4*s = -77, -3*t - 37 = 4*s. Let h(z) = 2*z**2 + 38*z + 2. Let w be h(t). Factor 1\/4*k**4 - w - 5\/4*k**3 + 3\/2*k**2 + k.\nAnswer: (k - 2)**3*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*c - 0. Let w = c - 3. Let v(i) = -3*i**2 - 2*i**w + 2*i**2. Let f(o) = -2*o. What is v(f(k))?\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 61, 0.1, -1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/22)\/(l**(1\/14)\/l))**7*(l**(8\/7)\/(l**(-4)\/l))\/(l**(-2))**32 assuming l is positive.\nAnswer: l**(5877\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38*l**4 - 2*l - 605.\nAnswer: -152*l**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2497 = 3*m - 16465, -2*m = -4*v - 18620. Let p = v - -18805\/4. Let s = p + -47. What is the closest to 1 in -1, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50097 + 50096.9978033. Round p to 5 decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, n: 2, i: 8, f: 6}. Give prob of sequence bn.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-180)\/1575*21\/(-6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 960\/17 - 101599\/1785. What is the common denominator of c and ((-2)\/3)\/((-60)\/123)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 220 - 389. Let w = -151 - r. Calculate the highest common factor of 144 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 3) to base 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/90 and -79\/87.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -11\/1224147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/9 and 71\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 3*q - 18, 1010*q - 1011*q - 28 = -4*h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 110511609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -3. Suppose q*m - 18 = -2*t + m, -4*m = 0. Let x = 80 + -75. Solve -5*j - t = -p, p - x*j - 7 = -2*j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(325))**2 - (sqrt(13) + sqrt(52))*4) + -5.\nAnswer: -12*sqrt(13) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -270841\/244580 + 2\/8735. What is the common denominator of s and ((-48)\/441)\/4 + 18\/(-27)?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22568 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, f: 1, n: 1, g: 2, t: 2, i: 1}. Give prob of picking 1 n and 1 i.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 10:40 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -3)*(12 - 3). Let m(w) = -w**3 - 10*w**2 - 8*w + 13. Determine m(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 0 (c) -0.03 (d) 0.07 (e) -2\/51\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*c*q**2 + c*q - 461*c*v + 78*q**2*v + 3*q*v - 4*v with respect to q.\nAnswer: 8*c*q + c + 156*q*v + 3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 10821211836370.\nAnswer: 10821211836369.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9379 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(-5)*(-2 + 291\/(-32)) and -55\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/(-20))\/(1\/12). Suppose m = -3*m - i + 24, -b*m = i - 18. Calculate the smallest common multiple of 25*(0 + 2\/5) and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, -4, -2, 94832 in descending order.\nAnswer: 94832, 57, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = -3*h + 12*d + 643, -12*d + 1221 = 5*h. Calculate the greatest common factor of 90 and h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -16 - 29 - 7\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 311433119081 minus 2.48?\nAnswer: 311433119078.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 7. Suppose t*v = -v + 8. Factor 0*g**3 + 5*g**3 - g**3 - v + 6*g**2.\nAnswer: 2*(g + 1)**2*(2*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3*w + 4 = 16, 0 = 2*c + w - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*i + 2*i - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 125446882 + -125446873.99999999. Let l = o - 8. Round l to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*q - 3*o - 30 = 0, 0 = q - 3*o - 18. Suppose -3*m - 16 - 1 = -2*j, -3*m - 5 = j. Solve j*y - q*h = 5 - 28, 2*y + 7 = -3*h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-1))**(-47))**(-1\/3))**(-17\/4) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-45))\/(2\/(-3))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 6*v. Suppose 0 = 27*h + 16*h + 338 - 424. Solve 0 = i - v*u + 5*u + 12, 0 = -3*i - h*u + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 + 5 + (-139 - -145).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.45893535 or 0.1?\nAnswer: 0.45893535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*d = 751, 5 = -5*d - 20. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x - 26. Let d be k(-11). Let h = 102 + d. Let v = h - 3. List the prime factors of v.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 6:19 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/27*-3 - -4. Find the second derivative of -104*r**2 - 105*r**2 + 255*r**q + 3*r - 33 + 209*r**2 wrt r.\nAnswer: 5100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 127 + 228. Let i = l + -355.2. What is the third biggest value in -5, i, -127?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 23034?\nAnswer: 23043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 16 = 2*i, 3*i + 103760 = 71*v + 103707 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -189, -352, -483, -576, -625, -624?\n\"Answer: h**3 + 10*h**2 - 200*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*m + 15 = 5*x, m = 5*x - 16. Let d(w) = 139*w**2 - 5*w + 23. Is d(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1114 divided by 59?\nAnswer: 1114\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/3 - 24*p**2 + 540*p - 3888.\nAnswer: (p - 36)*(p - 18)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 2\/5 (c) 1 (d) -1\/9 (e) -395\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2. Let k(c) = 31902*c + 111 - 163 + 52. Determine k(g(f)).\nAnswer: -31902*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 587223888 - -3?\nAnswer: 587224002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2265073 at least -2265080?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 53*v - 118. Let w(t) = -3647*t. What is g(w(j))?\nAnswer: -193291*j - 118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(304) + sqrt(304) + sqrt(304) + 1 + -4)*-2 + -3.\nAnswer: -144*sqrt(19) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.04, -1\/6, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**5\/60 + b**4\/24 - b**3\/6 + 132*b**2. Let l = -38 + 39. What is k(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30107 + 8768 = 494*h + 15711 for h.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -9*z + 3. Suppose -18*d - 87 + 105 = 0. Give w(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -50952268?\nAnswer: -50952269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14204342440 - 2?\nAnswer: -14204342442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40\/29 or -2?\nAnswer: -40\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.04, 5 in decreasing order.\nAnswer: 5, 0.2, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*x + x + 5*x)*(0 + 1 - 2) + (5 - 5 + 1)*(-171*x - 3 + 3) to the form f + t*x and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 136*q**6*u + 2*q**3*u**2 - 20*q**3*u + 171*q**2*u + q*u**2 wrt q?\nAnswer: 16320*q**3*u + 12*u**2 - 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -224829360 divided by -241752\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -833 - -835. Solve -p*f + 6*f - 28 = -4*i, 2*i - 2*f = -6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -74069 + 219020\/3. Let m = -1049 - b. Calculate the common denominator of -50\/33 and m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-210)\/(-24))\/((-2)\/8). Let i = f - -50. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1388, 2783, 4182, 5585, 6992?\n\"Answer: 2*c**2 + 1389*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 3*m**2. Calculate f(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of o**5\/5 + 2*o**4 + 7*o**3 + 11*o**2 + 8*o - 29. Factor n(c).\nAnswer: (c + 1)**2*(c + 2)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -21. Let p = 0 + 2. Put x, p, -2 in ascending order.\nAnswer: x, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4048882.999985 + -4048868. Let s = 15.19 - 0.19. Let b = s - f. Round b to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19181995.6 rounded to the nearest ten thousand?\nAnswer: -19180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1320\/(-36))\/(-55) + -11 + -8 + -1 + 13.\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -58, -65, -60, -37, 10, 87, 200?\n\"Answer: h**3 - 14*h - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11030.2*1811.\nAnswer: 19975692.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/5 of a millennium?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.42992 and 1043?\nAnswer: 448.40656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (3 - 5 - (-5 + -1 - -7)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -s**3*u**2 - 101*s*u**2 - 266*u**2 - 2 wrt s.\nAnswer: -3*s**2*u**2 - 101*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 48*y**2 + 0*y**3 + 0*y + 19\/15*y**5 + 0 + 0*y**4 + 1\/10*y**6. Find the third derivative of u(m) wrt m.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -9 + 25 + -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -15 + 1\/3*p**3 + 3*p**2 + 0*p - 5\/24*p**4 + 1\/12*p**5. Find the first derivative of t(f) wrt f.\nAnswer: 10*f - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(171) + (sqrt(171) - -6*(sqrt(171) - ((sqrt(171)*2 - sqrt(171)) + sqrt(171)))))\/(3*(sqrt(729)*3 + sqrt(729))).\nAnswer: -sqrt(19)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24502 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/10 + 216\/15. Suppose v = -c + 2*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -8*x + 9*x. Let h(k) = 8*k + 3. Let c(r) = r + 1. Give x*h(g) + 3*c(g).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91 + 91.000081. Round u to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 120163 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3002\/(-237)*(-6)\/4*-1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31.4 + -31.3. Let r = 8 - 8.3. Which is the closest to o? (a) -1 (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78504*q**2*z**3 - 5*q*z**3 - z**3 - 933 wrt q?\nAnswer: 157008*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**3 + 9*j**3 - j**3 - 2*j**3.\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/2 + 5*-77. Let y = -236 - j. Suppose -5*c + y = -c. Calculate the remainder when c is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.138 + -0.13368. Round i to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 803 = -81. Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 15\/((-12002)\/12104 - -1*1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*s - 31*s + 1 + 41*s to the form y + z*s and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10\/6*14\/(-105)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42671 = -3*v + 2*f, -37263 - 19609 = -4*v - 3*f. What is the ten thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 1018*v - 261. Let i(l) = -455*l + 131. Give -9*i(k) - 4*o(k).\nAnswer: 23*k - 135","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34909271?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*((-5 + -1 + sqrt(432))**2 - sqrt(432)) + -3)*-2.\nAnswer: -1872*sqrt(3) + 5604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-95 - -55) - (2 - (-1 - 0) - 4).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28 (base 11) to base 15.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 5 = 0, 3*q = 4*p - p - 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 3078*z - 3089*z - 9 to the form j*z + t and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -623 - -1008. Let i = q - 382. Solve 16 = i*d + 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**19*v*v\/((v*v\/((v\/(v*v**7))\/v*v))\/v*v)*v assuming v is positive.\nAnswer: v**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311188.\nAnswer: 2, 77797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28655 + -28638. Solve q*s + 14*s = -248 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - -1*sqrt(5))**2*1*3.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -2\/3, 18, 9, -59?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-351))\/(353\/3177)\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 g, and 1 o when three letters picked without replacement from uupugopguppugfppu.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 1 = l + 1, -4*y + 2*l = -16. Let t = 0 + y. Suppose d - 3 = -t*d. Sort d, -2, -3 in decreasing order.\nAnswer: d, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7022.38595 to the nearest 100.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, c: 7}. Give prob of sequence nnc.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 7*h**2 + 6*h - 12. Let v(s) = -3*s**2 - 3*s + 6. Determine -2*d(j) - 5*v(j).\nAnswer: j**2 + 3*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356832172 is divided by 4421.\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*p - 15*p - 33*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/((-2156)\/33)*(-12)\/9.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 89256?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2032065*u**3 + 4063766*u**3 - 2031856*u**3.\nAnswer: -155*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqy when four letters picked without replacement from {q: 2, d: 6, y: 2, h: 1, j: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 4591*u**3\/3 - 3680*u**2 - 6253*u. What is the derivative of a(n) wrt n?\nAnswer: 9182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 2*i - 4. Let a be 1 - (-5)\/(10\/8). Suppose -a = 3*l + 10. Let p be (l\/((-5)\/(-8)))\/(-2). Determine n(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16956 is divided by 5515.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 192 - 124. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 11 - 11 + 4*p. Let j be i(4). Find the third derivative of j*m**3 + m**3 + 0*m + 0*m - 4*m**2 wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 559181854.\nAnswer: 2, 7, 11, 101, 35951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -15*n**3 - 310*n**2 + 29*n - 10. Give o(-21).\nAnswer: 1586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*8.25107.\nAnswer: 8.25107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 3 - 13 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1169404 is divided by 2516?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 9 = -2*g. Suppose -4*j - 457 = -7*j + 5*i, g*i - 143 = -j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k. Let m = 13753\/24 + -573. Let l(a) be the third derivative of 2*a**2 + 0 - m*a**4 + 0*a**3 + 0*a. Give l(b(q)).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 76 or 5614\/9?\nAnswer: 5614\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -2*i - 1\/3*i**4 - 16\/3*i**3 - 24*i**2 + 3. Factor f(m).\nAnswer: -4*(m + 2)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68 - -70. Factor 0*s**i + 20*s + 0*s**2 - 7*s**2 + 15 + 12*s**2.\nAnswer: 5*(s + 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -22*l + 33*l - 67*l. Does 12 divide o(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 3 (b) -364 (c) 347 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r + 23005920. Let m(x) = -2*x. Determine m(a(k)).\nAnswer: -8*k - 46011840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-3))\/(-5)*(-2856)\/68*(-9)\/(-6)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 10666936*q - 7111470226756.\nAnswer: -4*(q + 1333367)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**2 + 3509814*p - 1026566192883 = 0.\nAnswer: 584969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -12*p - 209. What is c(-12)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 2003, -1932.\nAnswer: -1932, -2, -1, 2003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 17, 3\/7, -14.6, -2, -4, -70?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1 + 2*sqrt(17))**2 - -1*sqrt(2057)) + -1 + -2 + ((5*(sqrt(2057) + 1))**2 - ((sqrt(2057) + 0)*-1)**2).\nAnswer: 475*sqrt(17) + 49045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + 23. What is the greatest common divisor of i and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 48, 8487, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-1 - (2 + -2)). Let x be (1\/3)\/((-2)\/(-12)). Let t be x*(2\/10 - 0). What is the nearest to t in 2\/7, 5, q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -103 - -107. Round z to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20898 = 501*i - 5154 for i.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -115, 13, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 2*k - 2. Let p(j) = 24*j**2 - 51*j + 51. Let l(o) = -6*p(o) - 153*w(o). Let r(d) = -32*d - 34*d + 92*d - 36*d. What is r(l(m))?\nAnswer: -90*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -43*n - 526. Give z(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 779327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1658000 to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x - 14. Let m be v(13). Let q = -8 + 15. What is the remainder when 15\/(-3)*m*4 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.4 - -3. Let h = 0.7 - 1.9. Let d = h + 0.2. Sort d, w, 2 in descending order.\nAnswer: 2, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*f - 4*k = -37 - 29, 3*f - 9 = -k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/(((f*f\/(f*((f*f\/(f*f\/f**(-6))*f*f)\/f)\/f)*f)\/f)\/f)))\/f)**(2\/19)\/(f*f\/(f\/(f\/(f\/f**(-3)*f*f))*f)*f*f)**(-27\/5) assuming f is positive.\nAnswer: f**(-1499\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2299) - (sqrt(2299) + sqrt(2299) + sqrt(2299)*1 + sqrt(2299) + -4 - sqrt(2299) - sqrt(2299) - sqrt(2299))) + -4*(2 + 0 + sqrt(2299)) + 1)**2.\nAnswer: 264*sqrt(19) + 36793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)*1*-1 + sqrt(27) + sqrt(27)*1*-6 + sqrt(27))\/(6*sqrt(144) + sqrt(729)*-2).\nAnswer: -5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*t + 175*t + 33*t + 125*t.\nAnswer: 515*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**3 - 28*s**2 - 5*s - 67. Let z be t(-14). Suppose 2\/3*p**4 + 2*p**2 + 0 + 8\/3*p**z + 0*p = 0. What is p?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 339245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, j: 3, g: 2, k: 3, l: 3, y: 2}. What is prob of sequence gj?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15727.\nAnswer: 15727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 6. Suppose -27 = -3*i - q*i. What are the prime factors of -3*(-3)\/i - -27?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**3 - d**3 - 5*d**3)*(4*d - 5*d + 2*d) - 5*d**2 - 2*d**4 + d + 3*d**2 - 1 + 3*d**2.\nAnswer: -3*d**4 + d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**6\/120 + c**5\/12 + 7*c**4\/24 - 2*c**3\/3 - 3*c**2. What is the units digit of n(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 7, -122\/51, -32, 2\/3, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g. Let w(z) = -5. Let t(o) = -3*o - 30. Let v(r) = 5*t(r) - 30*w(r). Give v(h(a)).\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 22 = 5*h - s, 2*h = 2*s + 8. Let o be -4*(-2 - h\/(-10)). Solve 5*c - 18 = j, 12 = -5*j + c - o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12513\/20 <= 627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/120561 and 95\/137784.\nAnswer: 964488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 6. Let p be k(7). Let n = 2 + p. Let z(o) = -5*o**3 - 1 + 7*o**3 - 5*o**3. What is z(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141960 divided by 10140\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-8)\/15)\/(-4*19\/380)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 4410.361 seconds?\nAnswer: 4410361000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1\/5 (b) 1 (c) 0.4 (d) 26 (e) -65.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10782 and 32346.\nAnswer: 32346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -638548*j**3 + 798 + 638548*j**3 - 3816 - 4471 - 6755*j**4 wrt j.\nAnswer: -27020*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-18))\/(21\/9).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309374 is divided by 196?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -8*o**3\/3 + o. Let v be r(-1). Suppose 0 = 5*g - 14 - v. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(204) - sqrt(204)*2 - sqrt(204) - sqrt(204))*-5)\/((sqrt(12) + (sqrt(48)\/(sqrt(16)\/sqrt(4)) - sqrt(12)))*1).\nAnswer: 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551 is divided by 111?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21914 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2737380595+-1\nAnswer: -2737380596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)*3)\/(2*sqrt(200) - sqrt(8)).\nAnswer: 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (-367 - (-3 - -6)). Suppose -2*f + 517 = i, -r = -3*f + 5*i + 409. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 58 = -4*q, 2*k = q - 39 + 20. What is the third biggest value in q, 0.3, -2\/1453?\nAnswer: -2\/1453","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 5:50 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 1. Let k be i(-6). Suppose 121 = k*s + 36. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -750*z + 2531*z + 365*z - 92*z + 2664*z in the form l + j*z and give j.\nAnswer: 4718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/1*1*-3. Let r(d) = -12*d + 6. Calculate the smallest common multiple of r(0) and (1\/w)\/(2\/(-12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46685898844450 + -1.\nAnswer: -46685898844451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -2*u**4\/3 - 7*u**3\/6 - 5*u**2. What is the first derivative of y(r) wrt r?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*p + 209 - 1341 = 0, -2*m + 2285 = p. What are the prime factors of m?\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9412 = -10*j - 2*p + 9358, -3*j + 2*p + 54 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 336 = 87. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12544.2895 rounded to the nearest 100?\nAnswer: 12500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 12 = 22. Sort 30, 0, q, -3 in increasing order.\nAnswer: q, -3, 0, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (3 - (2 - -5)) - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6764 * 5\nAnswer: 33820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 830 divide 166809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*c**4 + 83*c**2 + 2*c - 363.\nAnswer: 120*c**2 + 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 11*c**3 - 10*c**2 + 10*c - 2. Let s(w) = w**3 - w**2 + w - 1. Let a(i) = -p(i) + 6*s(i). Let g(x) = -x**3 + x**2 - x - 1. Give -5*a(o) + 20*g(o).\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xzxazcadxzczxiz. Give prob of picking 1 a, 2 x, and 1 d.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.214 - 0.014. Let n = -522 + 523. Which is greater: i or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14852 and 10.\nAnswer: 74260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 6*a**2 + a + 4. Let z(j) = j**2 - 7*j + 4. Let h be z(2). Calculate q(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 17\/4 of a meter?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4211\/36 + -463\/4. Let y = -5\/9 + a. Factor 1\/3*m**4 + 0 + 0*m + y*m**2 + m**3.\nAnswer: m**2*(m + 1)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 n when four letters picked without replacement from nzznzzzzzzznzzz.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 + 3*h. Let g be m(-3). Let t be (-2)\/g - 236\/(-9). Suppose 0 = -2*n - 10 + t. Calculate the remainder when 18 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 99, 1 in increasing order.\nAnswer: 1, 8, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 3*d - 3. Calculate w(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 3:30 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -416*i + 83. Is j(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 21. Suppose -2*x + q = 4*t - 3*t, 4*x - 32 = t. Let j(u) = 2*u**2 - 6*u - 8. Does 24 divide j(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 7*q**2 - 8*q + 12. Let m = 15 + -5. Let y be 58\/m - (-44)\/(-55). What are the prime factors of t(y)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/63480 and 38\/23805.\nAnswer: 190440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 9:51 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*k**6 - 4789892*k**4 + 5589637*k**2 - 2*k?\nAnswer: -480*k**3 - 114957408*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/(30\/(-30)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 0.5, 1, -2\/397, -1.\nAnswer: -1, -0.04, -2\/397, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a. Let o(x) = x**2 + 4*x - 3. Let d be o(-5). Let w(f) = 3*f**2 - 4*f**d + 1 - 1. What is w(t(r))?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1681\/11 - -153. Let u = 11.9 + 0.1. Let t = u - 10. What is the third biggest value in q, -0.3, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14332, 16830, 20992, 26818, 34308?\n\"Answer: 832*z**2 + 2*z + 13498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**4\/12 - u**3 - 3*u**2 + 27*u. Let j = 7 - 0. Let x be m(j). Round x to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -20 + 0 - (-6 + (8 - 8)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5385 to 2 decimal places.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6941)\/(-5) + 10\/(-50)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2762918141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/24*(180\/(-8))\/(-3) + -6. Let x(k) = k**2 + 9*k - 49. What is x(r)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(4)\/sqrt(2) - (sqrt(2) - (sqrt(198)\/sqrt(9))\/sqrt(11))) + (sqrt(160)\/sqrt(5) + sqrt(2))**2*-1*6.\nAnswer: -298 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373454341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 58946.22 months in centuries?\nAnswer: 49.12185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 370 = -136. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 + -30412?\nAnswer: -30425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - b + 1. Let x(n) = 492*n**2 - 410*n + 410. Let g(c) = x(c) - 410*y(c). Let t(f) = 2*f**2. Determine t(g(z)).\nAnswer: 13448*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-6*3*sqrt(153))\/sqrt(9)*3*2)**2.\nAnswer: 198288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 + 51578*d**3 - 51 - 16 + 126.\nAnswer: 51578*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 5*x - 1 = 0, 6 = -56*t + 60*t + 2*x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**5\/30 - 34*k**2. Let b(l) = 6*l**2. Determine b(f(p)).\nAnswer: 24*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 172*j**2 - 14*j + 2404. Calculate i(172).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 158 = -21*s + 19 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-5) + (-2)\/5. Let x = 18637 + -92733\/5. Let d = x - 91. Which is the third biggest value? (a) 0.2 (b) d (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 0 + 10*v + 4*v**2 - 1\/5*v**5 + 0*v**4 + 2*v**3. Solve b(j) = 0 for j.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 4. Let z = o - -4. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -p - 5. Suppose -11*q + 72 = -2*q. Calculate the least common multiple of p and q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(351) + 3*sqrt(351) - sqrt(39))\/(sqrt(24)\/(2*sqrt(8))).\nAnswer: 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32\/648*9*(-16)\/(-2). Determine r so that -2\/9*r**4 + 0*r + 0 - g*r**2 - 16\/9*r**3 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - l - 734 = 0, -5*b - 3*l + 0*l = -1824. Suppose 2*v - 953 = 3*a, -2*v + b = 2*a - 602. List the prime factors of v.\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/181 and -75\/4?\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 - 35 = -105*u. Let d(t) = 5*t + 3. Determine d(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8215, 8074, 7963, 7894, 7879, 7930?\n\"Answer: 2*v**3 + 3*v**2 - 164*v + 8374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -269 + -1291. Let m = -1055 - p. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 9 = -v, 2*p = 2*v + 6. Suppose 0 = -2*s - 7 + 19. Suppose 0 = s*t - 2*t - 8. What is the greatest common divisor of t and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44 - (-108 + 69)) + (-3 - -2 - -99)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1))**(-1)*(r*(r*r*r**0)\/r)**(-39) assuming r is positive.\nAnswer: r**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-9*85\/153*8\/(-10))\/7\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2 + 106*z - 15. Give h(38).\nAnswer: 1125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-7)\/(63\/(-6)). Suppose s*g + 575 = 7*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-27)\/3)\/(4\/(-336)). Suppose 8*l - l - f = 0. Is 108 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1016 from 6.\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 181 + -195. Suppose -2*f - 3*f - o + 8 = 0, 0 = -f + 4*o + 10. Put v, f, 3 in descending order.\nAnswer: 3, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r**2 - 6*r**2 + 29*r**2 - 6*r**2 - 9*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 381328, 1525356, 3432068, 6101458, 9533520, 13728248, 18685636, 24405678?\n\"Answer: -d**3 + 381348*d**2 - 9*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 3, -646, -17, 7 in increasing order.\nAnswer: -646, -17, -2, 0, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 5 (c) 82 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 30, -7866 = -126*g + 122*g - 5*m. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in centimeters?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 + 42\/(-6))\/(2\/(-20)). Solve 11*m - j*m - 4 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -225*t + 1800. Determine i(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.13 + 0.3. Let g = -1.47 + h. Let r = -1.3011 - g. What is r rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(99)*-4)\/sqrt(9) + -2 - (2 + sqrt(176)*2)))**2.\nAnswer: 1536*sqrt(11) + 25600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 15488 in increasing order.\nAnswer: 2, 3, 15488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4473, 5328, 6739, 8694, 11181?\n\"Answer: -2*i**3 + 290*i**2 - i + 4186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13976 and 78615.\nAnswer: 628920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 7 = -6*o + o, 55 = 3*n - 4*o. Let v(f) = -f - 11*f**2 + 4 + f**3 + n*f**2 - f + 0*f**3. Let p be v(0). Solve 0 = z - 3 + 4, 4*q - 16 = -p*z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63276?\nAnswer: 2, 3, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by -3*(15\/6)\/(-5)*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, o: 3}. Give prob of picking 1 o and 1 w.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0566843 rounded to four dps?\nAnswer: -0.0567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11670 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i**3 + 5*i**2 - 14*i - 29. Is s(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4776\/(-199)*-1*(-2)\/(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 + 15. Let s = -35 + w. What is the remainder when 70 is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o + 28. Let r(w) = 10*w + 84. Determine -14*q(i) + 4*r(i).\nAnswer: -2*i - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 200477927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 2:41 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p = 30*p - 39. Let w(a) be the second derivative of -1\/4*a**4 + 7*a + 0 + 7\/6*a**p - 1\/20*a**5 + 3*a**2. Give w(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 w, and 2 f when four letters picked without replacement from {w: 3, y: 1, f: 4, s: 4, c: 2}?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5\/2 (b) 0 (c) 2 (d) 62 (e) -2 (f) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -291, 261 in decreasing order.\nAnswer: 261, -1, -4, -291","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: -12 + (5 - (-3 - -6) - -4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/3)\/(z*z**(1\/2)))**0*(z\/(z**1\/z))**11*z*z*((z*z**(-1))\/z)\/z*z*z*z**(1\/6)*z assuming z is positive.\nAnswer: z**(85\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -0*s - 2*s + 9482, 14223 = 3*u - 4*s. List the prime factors of u.\nAnswer: 11, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 60\/(-14) - 4\/(-14). Let d(q) = q + 4. Let u be d(w). Suppose 249*t - 20 = 253*t. Sort t, u, -2, -1 in descending order.\nAnswer: u, -1, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514832603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3003\/(-7) - 8\/(-2). Let l = r - -730. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(8\/7)\/u**(4\/3))**(-19\/3)*(u**6\/u**3)**(10\/3) assuming u is positive.\nAnswer: u**(706\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9 - 4)\/(3\/60). Suppose 0*f = 5*f - j. Let g be (f\/(-475))\/(6\/15). Which is the nearest to -2\/3? (a) 0.5 (b) g (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.03 - -0.48. Let d = 0.45 + u. What is the nearest to d in -0.4, -2, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**2. Let m(h) = 102*h**2 + 84*h - 84. Let r(o) = -6*o**2 - 4*o**2 + 8*o**2 + 2 - 2*o + o**2. Let w(n) = 2*m(n) + 84*r(n). Calculate w(x(f)).\nAnswer: 1080*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixteen fifteenths of a hour?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 12:01 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u + 5. Let w be (-26)\/(416\/(-144)) + -18. Let b(d) = -16*d - 21. Determine w*a(g) - 2*b(g).\nAnswer: -4*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -220323250 + -4?\nAnswer: -220323254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 0, 2\/51?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - -5. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 1) + (-26 - -38) - -23.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/15)\/y)\/y*y*y**(-3))**(1\/39) assuming y is positive.\nAnswer: y**(-58\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -485?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/94112970 and 53\/62741980.\nAnswer: 188225940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-11 - -7 - (-6 + -7 + 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-12)*(-278)\/278)\/(2\/(-8)*2).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 462\/28*(-3)\/18*-4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38605500 a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -3*u - 98. Solve -5*o = -2*z, u*o = -o - 3*z for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -12. Suppose -m*c = -c + 1434. Let g = -122 - c. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1012924 to four dps.\nAnswer: -0.1013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + b + 3*b)*(-2 + 2 - 2) + b - 3*b + 6*b + (-b + 3*b + 0*b)*(-5 + 2 + 1) + 0 + 0 - b + b - 2*b - b.\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2890*q - 17585. Determine a(-6).\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + (-75)\/(-66))\/(9\/(-6)). Which is the second biggest value? (a) 7 (b) o (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 - 80630304*o - 161260620.\nAnswer: 3*(o - 26876770)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1 + -7 - (1 + -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245340 divided by -10.\nAnswer: -24534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02253191 rounded to 4 dps?\nAnswer: 0.0225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, -0.1, 0.2, 709, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**15\/(v**26*v) assuming v is positive.\nAnswer: v**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28878 + 28923. What is the greatest common divisor of 3825 and a?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 489214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.51 - 4.21. Which is the biggest value? (a) 3\/4 (b) x (c) 5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -1)*6\/3. Let q = -0.5 + -0.5. Let m be ((-2)\/(-3))\/(14\/(-6)). Which is the closest to q? (a) 3 (b) w (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3217*p**2 + 1433*p.\nAnswer: 6434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 69878948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2420)*1 + sqrt(2420))\/(2*sqrt(10)*-2).\nAnswer: -11*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 925*c - 17948. Calculate o(20).\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -170*r - 1190. Let q be z(-7). Solve -5*j - 1 - 24 = q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10119*l**2 + 20233*l**2 - 18*l + 7*l**3 + 6*l**3 - 9*l**3 - 10114*l**2.\nAnswer: 4*l**3 - 18*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m. Let q be v(8). Calculate the common denominator of (-692)\/(-80) + (-2)\/q and -6\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27378 divided by -165\nAnswer: 9126\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 145\/4 - 36. Suppose 2*d = 3*b + 4, 3*b + 4*d - 8 = 4*b. Let r be b\/(((-12)\/(-3))\/2). Which is smaller: r or k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 4*h**2 + h**2 - h**2. Let i(x) = -2*x**2. Determine q(i(c)).\nAnswer: 20*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 13. Let y be 5 + 1\/(23\/140) + 16\/(-184). Suppose -5*u + u - d = -18, 2*d + 19 = 3*u. Solve y = -3*q - 4*w - 3, -v*w = -u*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102 + -102.1. Let u = -9 + 8. Which is the closest to d? (a) u (b) 2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*q. Let g(u) = -4*u. Let y be g(1). Sort q, y, 4 in increasing order.\nAnswer: y, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3000\/36)\/((-328798)\/(-328800) - 1). Round v to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (62 + -54 - 24)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**4\/6 - 2734*y**3\/3 + 87498*y**2 - 6024560*y\/3 + 2368000\/3 = 0 for y.\nAnswer: -1184, 2\/5, 40, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*c - 13, -w - 3 = -c - 2*w. Let x = c - 2. Suppose 0 = -x*a, 3*u = -2*a + 5*a + 21. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31957413 is divided by 46?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/29)*u)\/(u\/(u**(4\/7)*u))*u**(4\/9)*u**(-22\/3)*u*u*u assuming u is positive.\nAnswer: u**(-4360\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84816 and 5472.\nAnswer: 169632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 423601 - 423601 + 35*x.\nAnswer: 35*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l - 3*l**2 + l**3 + 6*l**2 - 12*l + 14*l - 9*l - 10. What is p(-4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5067213119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyyo when four letters picked without replacement from {o: 9, y: 11}?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 196624 and 8?\nAnswer: 196624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6099\/12*134\/(-8911)*-14.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0334736 micrograms in grams?\nAnswer: 0.0000000334736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -402 = 4*c - 2*m, 2*c = 4*m - 162 - 30. Let t = -64 - c. List the prime factors of t.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 11\/24800?\nAnswer: 11\/24800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7176943893.\nAnswer: 3, 7, 991, 344863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 469441195 less than 404.1?\nAnswer: -469440790.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2818058772?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**4\/4 + 100*g**3 + 18085*g**2\/4 - 4620*g = 0.\nAnswer: -33, 0, 1, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from pppt.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 33122*y**2 + 317*y + 12. Is k(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4659 = -5*n - 0*t + 2*t, -3*n + 2*t + 2797 = 0. Does 19 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95787.\nAnswer: 3, 29, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/30 and 24\/(-42) + (-4017)\/(-770) + -5.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 7 = 9. Suppose 9\/4*m**3 - 1\/4 - 15\/4*m**i + 7\/4*m = 0. Calculate m.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*w = -2. Suppose 3*k + 4*f = 2, k + 2*f + w*f = -2. Suppose -k*o = -3*o. Solve l + i = o, 5*l + 3*i + 9 = i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3569 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552381511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -748a (base 13) to base 14.\nAnswer: -5c6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (221 + 108 - 106)*(0 - 2*t**3 + 0) + 18*t**2 + 15*t**3 - 18*t**2.\nAnswer: -431*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/216*(-7644)\/6272 and 103\/3744.\nAnswer: 14976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2501\/8582 + -7\/1226. What is the nearest to -1 in j, 204, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484*a - 482*a - 5*d = -31, 3*d + 7 = -2*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.98 - 0.02. Let w = q + 3.4. Let z = -0.39999968 + w. What is z rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1, -0.1, 0.4, 0.8, -2\/11, -19\/52, 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 32 - 47. Let h(w) = 6*w**2 + 2*w - 12. Let b be h(2). Put b, 0, p in ascending order.\nAnswer: 0, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7503, 14991, 22477, 29961, 37443, 44923?\n\"Answer: -y**2 + 7491*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v + 2. Let m be b(-3). Let z = -3 - m. Let n = 1 - z. Is n bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 25. Suppose -5*k + p = -1. Suppose -13 - 11 = -k*t. Solve 5*h = 2*g + t, 4*h - 2*g = -5*g - 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -5*w**4 + 295*w**3 + 325*w**2 - 1515*w + 900 = 0.\nAnswer: -3, 1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1324\/(-1986))\/(4 + 0 + -2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6599 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: Let o(k) = -443*k - 196. Let s(x) = 314*x + 130. Give -5*o(i) - 7*s(i).\nAnswer: 17*i + 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0)**(-3\/23))**(-2\/9) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6 = -5*v, -4*o + 4 = -3*v + 14. Let h be (-15)\/255 - 11\/2618*122. Which is the second smallest value? (a) 1\/3 (b) -0.4 (c) h (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4200800 and 5?\nAnswer: 4200795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 259.66524 months in years?\nAnswer: 21.63877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -23 (b) 5 (c) 183881 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.856 - 640.144. Let s = d - -639.606. What is s rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43 - 2*o**2 + 2*o**2 + 16 + 17*o**3 - 141*o**3 wrt o.\nAnswer: -372*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.2 (b) -4\/7 (c) 6 (d) 47 (e) 5 (f) 192\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 967*z**2 - 1024*z**2 - 3*z - 144 + 3*z + z**3 wrt z?\nAnswer: 3*z**2 - 114*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 7 = 32, 45*w - 5*b - 696 = 949 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*w**3 + 7650442*w**2 + 2438802160816*w + 52837122087880.\nAnswer: 2*(w + 637526)**2*(3*w + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + y + 8 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s + 13*s = 4*s + 36 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2 - 2*r - 2. Let b be s(2). Let j be (4\/12)\/(1\/b). Suppose 5*d + 13 = -n + 8*d, -5*n = -2*d. Solve 0*q = n*q - j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*s - 994 + 769 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180 - -151 - -63 - 508\/14.\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -122, -209, -298, -389, -482, -577, -674?\n\"Answer: -r**2 - 84*r - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 733 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: Does 58 divide 300324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 2\/13 (c) 1\/6 (d) 3 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1154 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2010*v + 172*v**2 - 1001*v - 1009*v.\nAnswer: 172*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 34 and -8323579275.714?\nAnswer: 8323579309.714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 365 - 355. Suppose -b*n - 110155 - 20845 = 0. What is n rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -8*g + 9*g - 9*g**2 + 8*g**2. Let w(m) = 6*m**2 - 5*m. Give -w(n) - 5*x(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25252323*d**2 - 147272991 wrt d.\nAnswer: 50504646*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.18 + 13.30785. Round x to three decimal places.\nAnswer: 0.128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.4 + 1.6. Let b = 10 - q. What is the biggest value in 0.4, b, 2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17362515*h**2*p**4 + 226967*h**2*p - 17*h**2 wrt p?\nAnswer: 208350180*h**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -2*x**3\/3 + 90. Let z(y) = 37*y. What is z(a(o))?\nAnswer: -74*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2903\/2 or -2\/5?\nAnswer: 2903\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w. Let a(m) be the first derivative of 1\/2*m**2 + 0*m - 3. Determine 4*a(p) + 3*k(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from {o: 2, l: 4, t: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126*19\/(-1463)*11.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/14)\/(54\/(-42)))\/2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 13*l + 15. What is n(10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2 + 4334*k + 3*k**2 - k**3 - 4*k**2 - 4333*k. Suppose 5*d + 6 + 4 = 0. Determine w(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/((-27)\/12))\/(1\/6). Solve 10 = -9*u - j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.016 + 2.516. What is the closest to -5 in 4, t, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9282 and 4012918.\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 105492 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t + 99 + 3*t**2 + 3*t - 102. Let l be q(0). Suppose 0 = -z - 5*x - 5, 0 = 3*x + 6. Sort z, -2, l in ascending order.\nAnswer: l, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 3*y + 4*j + j, -244 = -4*y + 4*j. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24*15\/(-720)*-12*(-1)\/(-3)*-3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/5 + 92*k\/5 + 144.\nAnswer: 2*(k + 10)*(k + 36)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/11, -20, 4, -2\/41 in decreasing order.\nAnswer: 4, 3, 2\/11, -2\/41, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 + 60. Suppose -1315 = -8*p + o*p + 3*a, 0 = 5*a - 5. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 4*c - 18, -4*r = 5*c - 17 - 10. Suppose 0 = -4*t - r*o + 11, -4*t + 5*o = 1 - 4. Differentiate 0*a**t - a**2 + 1 + 0 with respect to a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hghh when four letters picked without replacement from {g: 15, h: 4}?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1227 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -5. Let t = 0.29 + 0.01. Put b, 0.4, t in decreasing order.\nAnswer: b, 0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1073 rounded to the nearest ten?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7\/(42\/6))\/(8 - (-110)\/(-20)). What is the closest to 0 in -67, p, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - 3*w - 3*w)*(-339*w**4 - 453*w**4 - 712*w**4) - 2*w**5 - 3*w**5 + 6*w**5 + (-w**3 + w**3 - 2*w**3)*(0 + 0 + 2*w**2).\nAnswer: 1501*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6d - 6?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.14 - -0.26. Let l = -70 - -349\/5. Which is the closest to 2\/5? (a) l (b) -2\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -31\/5, 272, 6\/7?\nAnswer: 272","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25 + -4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6*p - 1. Let d be i(-1). Let f(g) = 3*g - 7*g - 6 - 4*g + 10*g**2 - 22*g**3 + 21*g**3. Let j be f(9). Solve 0*q + 6 = -d*r - q, -3 = j*q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1336750 and 125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 2*f**2 + 4*f - 21. Let z be k(-6). Suppose 0 = -3*q - 9, 0 = -3*w + 5*q + z. Does 19 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n = 88 + 80. Solve -2*h + n*h + 5 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -177, 4, 8, -3 in decreasing order.\nAnswer: 8, 4, -3, -5, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -50, -83, -166, -323, -578?\n\"Answer: -4*k**3 - k**2 - 2*k - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 913772?\nAnswer: 2, 228443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 342 and 10833211.\nAnswer: 194997798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111201, -444792, -1000775, -1779150?\nAnswer: -2779917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -6, 0 = 5*j - 4*z + 2*z + 16. Calculate the common denominator of 150\/(-14)*12*4\/96 and (-2218)\/(-180) + j\/9.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 11*m**4 - 240*m**3 + 396*m**2 + 80*m = 0.\nAnswer: -2\/11, 0, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 5*f**3\/6 + 14*f. Let k(b) = 5*b**2. What is n(k(p))?\nAnswer: 25*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + x - 0*x + 20, 0 = -4*a - 4*x + 64. Let u(m) = -2*m + a*m - 10*m + m**2. Let b(t) = -38*t**2. What is b(u(h))?\nAnswer: -38*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1818*o**2*u - o**2*z + 2*o**2 - 5*o*u*z + 272*u*z + 2*u - 5*z - 6 wrt o.\nAnswer: 3636*o*u - 2*o*z + 4*o - 5*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-6)*(-5)\/(5\/(-2721)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113110 + 13?\nAnswer: 113123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m + 1. What is the units digit of r(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -75312 - -12?\nAnswer: -75300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 + 247\/5. Let i = 1276.6 + -1277. Which is the closest to z? (a) -2 (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**5\/20 + x**3\/2 - 3*x**2. Let y(v) = -v**3 + 1. Let b(w) = -d(w) + 3*y(w). Determine i so that b(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 3:21 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwyirwwdri. Give prob of sequence iy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(-2)))**(-4\/7)\/(s**(-1\/5)*s**(-4)))**(2\/15) assuming s is positive.\nAnswer: s**(374\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 228 and 74.\nAnswer: 8436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 347653 by 2.\nAnswer: 347653\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 84\/231*22\/2. Let j(h) = -h**3 + 4*h**2 + 2*h + 7. Let m be j(5). What are the prime factors of 1521\/6*(m\/(-3))\/l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 11 - 21*c - 19)*(3*c + 3*c - 5*c) to s + a*c**2 + l*c and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 7:17 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2017390 rounded to the nearest 10000?\nAnswer: 2020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17996322 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*s - 226*s - 14*s**2.\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = t - 1, -2*t - x - 16 = 3*t. Let k be 3\/(-2*t\/30). Suppose k = 5*f - 10. What is the remainder when 9 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 + 15 + -53 - (54 + -2)) + -14.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*j - 8, 66*j - 67*j + v = 2. Let o(c) = 5*c**3 - 3*c**2 + 3*c - 13. Let m(w) = -4*w**3 + 2*w**2 - 2*w + 13. Give j*o(l) + 3*m(l).\nAnswer: -2*l**3 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000 (base 2) to base 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*s + 42*s = 24. Let m be ((-4)\/8 - -2)\/(2\/s). Suppose -23 = -3*p + p + 3*h, -3*p + 27 = -m*h. Solve 2*t - 3*t = -p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**5 + 2*n**5 + 2*n**5 + 584*n**3 + 73*n**5 - 584*n**3 + (0*n**2 - 2*n**4 + 0*n**2)*(-4*n + 0*n + 2*n).\nAnswer: 80*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 175202 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k**2. Let d(y) = y - y - 5401 - 3*y + y + 5307. Calculate o(d(h)).\nAnswer: 28*h**2 + 2632*h + 61852","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 0 - -2 - (-3837 - -3834)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -13*i**6\/6 + i**5\/60 - 11*i**4\/8 - 9*i**2 + 2. What is the third derivative of n(k) wrt k?\nAnswer: -1560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62530.04 centuries to years.\nAnswer: 6253004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*4\/(-228)*-1*23059. Let c = k - -1215. Let o = 144\/133 - c. What is the nearest to -3 in 2\/7, o, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.033 minus 15?\nAnswer: -15.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v + 3*v**2 + 99 - 109 + 5*v to the form h*v**2 + t + m*v and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2 - (-9)\/6. Let v be ((-76)\/36 + r)*-2. Let p = 1.2 + -0.2. Is v > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -2) + 1 - (4126 - 4170).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 19.03. Which is the smallest value? (a) -4 (b) 0 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188*-0.2.\nAnswer: -37.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 5)*20\/6. Suppose 2*d + 2 - f = 0. Solve 4*k + d = 3*p, 2*p - k - 18 = -3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.0556 and -5\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/130)\/(345\/(-17940)). Factor 2\/5*x**5 - 22\/5*x**2 - 24\/5*x - 2\/5*x**3 + 6\/5*x**4 - m.\nAnswer: 2*(x - 2)*(x + 1)**3*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90041328 and 234?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 152964542 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b247 - 10?\nAnswer: -b257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-1)\/63)\/((-4556)\/2814).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 31345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24892220*i**5 + i**3 - 107*i**2 + 41*i + 302 wrt i?\nAnswer: 1493533200*i**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t - 3. Let j(f) = -5*f - 12. Give 3*j(u) - 12*q(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -66.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 30 = 6*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219 + 433 - 214 - 9*d.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.2 (b) -22 (c) 0.55 (d) 0.3 (e) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*r + 8. Suppose -20 = -2*f + l - 8, 5*l = 5*f - 35. Suppose 0 = -0*m + f*m - 25. Solve -r*c + 3 = -m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103246.9 rounded to the nearest ten?\nAnswer: -103250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/5 - 8*t**2\/5 + 99*t\/5 - 18.\nAnswer: -(t - 6)*(t - 1)*(t + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-31)*u)**(34\/5)\/(u**12\/u**(3\/11)) assuming u is positive.\nAnswer: u**(-11491\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 1 = i. Let y = i + 2. Solve 0 = -5*z + y + 24 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 2*f + 17 - 3, 3*f + 3 = 0. Suppose -3*g + 3*v - v + 10 = 0, 4*g + v - o = 0. Suppose 0 = q + g*q - 15. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w - 8*w - 6*w + 3*w to s + i*w and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -581.87, 51\/4, 1\/8?\nAnswer: -581.87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*p + 9 = 3*p, -5*k - 1 = -p. Sort -7, 0, k in increasing order.\nAnswer: -7, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -28, -247, -838, -1987, -3880?\n\"Answer: -31*o**3 - 2*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 4*h + 18, -18 = -5*h - 3. Let t(y) = y**2 + y. Let k be t(a). What is the highest common factor of 546 and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 782254, -5\/4, -1 in decreasing order.\nAnswer: 782254, -1, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 505023472*c**3 - 4*c**2 + 60485336*c.\nAnswer: 3030140832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*x - 314*x = -48 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -681, -2721, -6119, -10875, -16989, -24461, -33291?\n\"Answer: -679*f**2 - 3*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322089566 is divided by 22777.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i**4 + 6*i**4 - 4*i**4 - 3*i**4 - 2*i**4 + 12*i**4 + (3*i + i**2 - 3*i)*(-i**2 - 2*i**2 + 2*i**2) as k*i**4 + r*i + a*i**3 + d*i**2 + u and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 10*q - 69. Suppose -x + q = -17. What is the greatest common factor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1050\/129643 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4401 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -83 (c) -0.1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88661544.\nAnswer: 2, 3, 1231, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, 839, 3, 8 in increasing order.\nAnswer: -63, 3, 8, 839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - ((sqrt(17) - (sqrt(17) - sqrt(17)*-3)) + 5)) + -2*(0 + sqrt(17)))**2.\nAnswer: -20*sqrt(17) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28454, 3, -6, 5, 4, -1 in decreasing order.\nAnswer: 5, 4, 3, -1, -6, -28454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3306?\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -10. Let i = -14.3 + 14. Let a be -1 - (1 + 26\/(-16)). Sort i, a, x in descending order.\nAnswer: x, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*i + 2*r = 445, 5*i = 5*r - 2215. Let h be (-6)\/8 - i\/(-308). Which is greater: h or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 118*s + 77*s + 633*s**3 - 638*s**3 + 8*s**2 + 12*s**2 + 270 = 0.\nAnswer: -3, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 5. Let d(c) = -c**3 + 7*c**2 + 7*c + 4. Let u(n) = n**3 - 8*n**2 - 7*n - 4. Let f(t) = 3*d(t) + 2*u(t). Let w be f(6). Solve -v*j - 2 = -w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24*13\/(-6552)*12\/(-1)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -34122, -22, 0, 5, 1 in descending order.\nAnswer: 5, 1, 0, -22, -34122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 3:50 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -10*t. Let c(w) be the second derivative of 7*w**4\/12 + 5*w + 15. Determine c(o(k)).\nAnswer: 700*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 219*d**3 + 4*d - 4*d - 294*d**3 + (-d**2 + d**2 + 2*d**3)*(2 + 2 + 2).\nAnswer: -63*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus -1.06?\nAnswer: 2.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1015112 is divided by 253736.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 0.0608862?\nAnswer: 0.9391138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**3 + 305*w**2 + 66*w - 755. Let y be q(-76). Solve -2*g + 14 - 12 = -4*o, 5 = 2*g - y*o for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b\/b**(-5))*b*(b\/(b*b*b*((b\/b**(-1\/2))\/b*b)\/b))\/b)\/(b**(3\/4)*b*b*(b**(4\/7)\/b)\/b) assuming b is positive.\nAnswer: b**(-219\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 8*y = -3*y + 4352, -2 = -2*y. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3272 and 146831?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/4 and 41\/889024.\nAnswer: 889024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 45.\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 5, 1, -3, 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 2239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - 7*h + 11*h + (0*h + 0*h + 2*h)*(0 + 0 - 1) + h - 6*h + 2*h + (5 + 2 - 2)*(2*h + 0*h + 0*h).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w + 3 = -16*w + 4*n, -5*w = 5*n - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 + 139 - 2*j**3 + 153 - 294 - 8*j**3.\nAnswer: -9*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v. Let h(f) = 35*f - 18. Let q(r) = -12*r + 5. Let n(y) = -6*h(y) - 17*q(y). Give k(n(s)).\nAnswer: 6*s - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 81961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008362 rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47448 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190396 is divided by 476.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 18249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 13*d. Solve d*p - 3 = -3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*g**2 + 10*g**2 - 14*g**2 - 25*g**2 + 2217.\nAnswer: -51*g**2 + 2217","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 34193 less than 34165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, d: 2}. What is prob of picking 3 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 689502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 - 4*b**3 - 11*b - 9*b + 25*b.\nAnswer: -5*b**3 + 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 2:05 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.02 (b) -1\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d*g*s - 5*d*g + 688185*d*s - 2*d - 123857*g + 1497*s wrt d?\nAnswer: g*s - 5*g + 688185*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66.0649071688 - -0.0649101288. Let q = l - -66. What is q rounded to seven decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-520)*4*44\/66.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*m**4 - 2*m + 9*m**4 - 3*m**2 + 4*m**2 + 2 - m**2 - m**2 + 2*m**3 to d + i*m**2 + o*m**4 + j*m**3 + x*m and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(112) + sqrt(112))*2 + 2 + sqrt(112) + 1 + ((sqrt(112) + 1)*-4 + sqrt(112))**2 + 0.\nAnswer: 20*sqrt(7) + 1027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 57*t. Let f(w) = -7*w. Suppose 4*r + 15 = r, 0 = 4*v - 2*r + 6. Let g(q) = v*d(q) - 33*f(q). Let o(p) = 2*p**2. Calculate o(g(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -2\/15, 0.32, 85?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 26 - 50*a + 109*a - 47*a + a**2. Let u = 12 - -7. What is the remainder when o(-17) is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.1 from -63030.0245.\nAnswer: -63026.9245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106 and 848?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11824.83 + -11825. Let b = 2 + -3. Is b != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-99819)\/55455)\/(3\/12 + -2 + 198\/40)?\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 12 = -3*v - 2*x, 0 = -3*x - 12. Let u(h) = h**3 + 6*h**2 + 5*h + 3. Let b be u(v). Solve b*y = 2*y + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 3:48 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 114 + 86. Solve -g*d + 168 = 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**2 - 145670*n - 145672 = 0.\nAnswer: -1, 72836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**3\/3 + 7*l**2\/2 - 4*l + 27. Let z be d(-8). Solve j = z*w - 1, -3*j - 2*j = 5*w + 30 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 5:02 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*z + 4*z + 4 - 4)*(-13*z**2 + 105*z - 105*z).\nAnswer: -195*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/(-20))\/(111\/(-296)))\/((-3)\/225*-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**0\/((u*u\/(u\/((u\/u**1)\/u)*u))\/u)*u**(1\/4)*(u\/(u\/u**(1\/6)))\/u assuming u is positive.\nAnswer: u**(17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12980 rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 23*x**2 - 78*x**2 + 20*x**2 + 29*x**2. Let d(y) = -6*y**2. What is q(d(o))?\nAnswer: -216*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-nine fifths of a meter?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 2, -27, -5, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 8*b + 15. Let v(z) be the first derivative of -z**2\/2 + 5046. Calculate v(f(a)).\nAnswer: -8*a - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -31 (c) -1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*u + 9, u - 2*u + 6 = 3*f. Find the first derivative of -f + 1 + 2 + c - 3 wrt c.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24963*a + 13*a**4 + 24964*a - 2*a**3 + 1 + 4*a**3 + 3*a**2 - 3*a**4 as g*a + t*a**2 + y*a**3 + u + r*a**4 and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8700300*y - 13012328?\nAnswer: 8700300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -15 - 13. Suppose -2*g + 6 = -g. Let o(b) = -28*b + v*b + g*b**2. Let t(u) = u**2. What is t(o(k))?\nAnswer: 36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*c*h*r*u + c*h*u + 70*c*r**2 + 2*c*r + h*r**2*u - 3*r**2*u + 5*r*u wrt r.\nAnswer: 140*c + 2*h*u - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/10*(-60)\/(-1). Let u be 28\/(-182) - v\/(-26). Solve 0 = -3*q - u + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 6:12 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/((-15)\/(-34)) + -1 and 1 - 68\/6 - 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4068776 (base 10) in base 8?\nAnswer: -17412650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*73\/(-8) - (-16)\/(-128)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 15) to base 6.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 0.8. Let f = 1.6 + -2. Let z = v + f. Sort -0.4, z, -4 in increasing order.\nAnswer: -4, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 4:23 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 42 = 2. Calculate the greatest common factor of u and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 10*q**2 + 5*q - 4. Let z be r(-9). Suppose 2*y + 3*n - z = 0, -140 = -5*y - 3*n - 42. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18367 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 522 - 853. Let w = g + 330.8. Which is the nearest to 0? (a) -2\/13 (b) w (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 450350 - 30?\nAnswer: 450320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/24 (b) 0.05786 (c) 1\/11 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 14*f + 18. Let q be b(-15). What is the greatest common factor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -341 + 246. Let l = t + 635. Is 54 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 3*y + 0 + 0*y**2 - 1\/6*y**3. Let r(c) = c. Give r(k(q)).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2238406.7 plus -656.8901?\nAnswer: 2237749.8099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -63*y + 42. Let v(h) = 11*h + 1. What is g(d) + 6*v(d)?\nAnswer: 3*d + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/327? (a) -15\/7 (b) 1\/4 (c) -8 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - i + 5*o = 63, 0 = -i + 4*o. Let a be (-7228 - -4)*((-32)\/i + 2). Round a to the nearest one hundred.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-9 - 20 - -35).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and -7416.1141.\nAnswer: -4449.66846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 16. Let r(s) = s**3 + 3*s**2 - 2*s - 6. Calculate r(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3082305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4508 - 4505. Let w(z) be the third derivative of 0 + 1\/96*z**4 - 24*z**2 + 1\/240*z**5 + 0*z - 1\/480*z**6 - 1\/24*z**f. Factor w(v).\nAnswer: -(v - 1)**2*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18\/4 + (-30)\/(-20) and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(1700)*-1 + 2)*-3)**2 - -2*((sqrt(1700)*1 + sqrt(1700) + sqrt(1700))*5 - sqrt(1700)*-1*-6)**2)*-6.\nAnswer: -4964976 + 77760*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9520816 - -2?\nAnswer: -9520814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -1, 0.0577, 0.3459?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 47*j**2 + 39*j - 284. Calculate m(-46).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v**3 + 3*v - 2. Let j be g(-2). Calculate the greatest common divisor of j and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 9*o**2 + 7*o - 7. Let q be d(-8). Let k(a) = a**2 + 7*a + 1. Let x(r) = r - 1. Let v(u) = q*x(u) - k(u). Calculate v(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3164807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.11 - -0.19. Let l = -11 - -12. Which is the second smallest value? (a) l (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 177591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7067.4 - 7067. What is the third smallest value in 0.23, u, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 2:39 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*i + 32 = 2*i, 5*l - 285 = 5*i. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, k: 5}. What is prob of sequence khh?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s = -0 + 84 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 453384262?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 7:03 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3419610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 + 17b01?\nAnswer: 17af1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)\/h*h**(2\/13))\/(h**(-1\/3))**(-5\/7) assuming h is positive.\nAnswer: h**(-2207\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -12. Suppose -a = -x + 11. Suppose s + 1 = x. Solve -4*h - s = h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -15*n**2 - 23. Let p(k) be the first derivative of 5*k**3\/3 + 8*k - 5. Let d(i) = -17*p(i) - 6*y(i). What is the derivative of d(s) wrt s?\nAnswer: 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -3. Let j(p) be the third derivative of -p**6\/120 - p**5\/12 - p**4\/6 + 5*p**3\/6 + 3*p**2. Determine j(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435 = -40*j + 1515 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + 1*sqrt(143)*-2)*-2*-6)\/((1*sqrt(132)*4)\/(-5*sqrt(36)\/sqrt(3))).\nAnswer: 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 13*k**2 - 25*k - 8. Let s(x) = -3*x**2 - 6*x - 2. Give 2*h(a) - 9*s(a).\nAnswer: -2*a**3 + a**2 + 4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_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: Differentiate -914*m**3*v - 1886*m**2*v - m + 9730*v - 17025 with respect to m.\nAnswer: -2742*m**2*v - 3772*m*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*z + 104*z - 22 = 0. Sort -19, 5, z in ascending order.\nAnswer: z, -19, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8 - 162726753\/1918) + 2. Let v = 84848 + f. Calculate the common denominator of v and 149\/6.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9529 is divided by 3094?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.5 - -2.5. Put -1\/5, b, -3\/7 in ascending order.\nAnswer: b, -3\/7, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 24*d. Let z be i(0). Let g(w) = 2*w**2 + 62 + 0*w**2 - 3*w**2. What are the prime factors of g(z)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * -259.\nAnswer: -12.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (527\/124)\/(342\/(-16)). Let n = 413 + -7439\/18. Let f = i - n. Is 1 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/7 - 1232\/(-49).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**5\/20 + g**4\/24 + 3*g**2 - 2*g. Let n(s) be the first derivative of w(s). Determine n(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7808 - 1361. Is w less than 6447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8359 = -2992*u + 2349*u for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 115 + -5?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from yycmccccmcyymi.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 4*v - 7*v - 5*m, -4*v - 4 = -4*m. Solve 0 = -2*r - v*f - 3, -4 = -r + f + 3*f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 5804721.\nAnswer: -1\/5804721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -227*y. Let c be u(-2). Suppose 3*b = 0, -b - c = -5*o - 174. Does 21 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -3*p + 64. Suppose p*m - 38 = -2*h, 25 = -3*m + 5*h + 21. Calculate the remainder when 40 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -1.5. Let n = -0.2 - -0.2. Let d = n - -1. What is the nearest to 0 in a, d, -3\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 121049566?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1546, 29, -4 in ascending order.\nAnswer: -4, 5, 29, 1546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10 - 2)*2\/(-6). Solve 0 = m + 5*h + 25, -2*m + 5 = -f*m - h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214129451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and 0.5.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-132 - 64*w + 132)*(-1 + 16 + 51 + 17 - 1 + (3 + 1 - 3)*(4 + 0 - 6)).\nAnswer: -5120*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g + 14. Let n(p) = -p + 5. Let c(o) = -7*o + 98. Let w be c(11). Suppose -w = 6*f + f. Give f*y(q) + 8*n(q).\nAnswer: 4*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 539118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 + 12*n - 17. Give p(7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -239797384 divided by -4?\nAnswer: 59949346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4816*b - 63343. Calculate k(-13).\nAnswer: -735","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*l + 69*l = 2*a + 10, -3*a - 15 = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -413000, -826001, -1239004, -1652009, -2065016, -2478025, -2891036?\nAnswer: -3304049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1277*n - 1283*n + 24 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-86)\/18 - 20\/90\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1412 * 14.2\nAnswer: 20050.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/3022580 and 29\/1209032.\nAnswer: 6045160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 865628, 865630, 865630, 865628, 865624?\nAnswer: 865618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24685919.\nAnswer: 37, 71, 9397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, f: 1, a: 10, s: 5}. What is prob of sequence sasa?\nAnswer: 15\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 111.3 - 111. Which is the third smallest value? (a) -28 (b) n (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkrurm. Give prob of picking 1 r, 1 m, and 1 k.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-5 + 1 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -447, -779, -879, -627, 97, 1413, 3441?\nAnswer: 6301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 2) + 8 + 64056. Suppose -97966 = 33*l + g. Round l to the nearest 100.\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 63\/12 - (-6)\/8. Let s(n) = n**3 - 5*n**2 - 6*n + 9. What is the remainder when 25 is divided by s(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/((sqrt(36) - sqrt(4))*-3).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1581 is divided by 775?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14 - (-1 - 1))\/(43\/172). Find the common denominator of 270\/44 + (-4)\/2 and 2*243\/f*(-4)\/10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 865.939 rounded to the nearest integer?\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 + -38 + (-37 - -82)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/12))**(-2\/23)\/(r\/(r**(-38\/5)*r)*r*(r**(-35)\/r)\/r*r) assuming r is positive.\nAnswer: r**(18911\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148, -149, -150, -151, -152, -153?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-3))\/((-7)\/(-63)). Let y(x) = 4*x - 9. Let s be y(w). Solve -5*k = -5*z + 10, 0 = -3*k + 5*z - s + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1603, -2, -82 in descending order.\nAnswer: 0.1603, -2, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8118372?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/6 - 4807\/(-3). Suppose 5*l - 1333 = q. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 4 (b) 1\/4 (c) 2 (d) 3\/55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 15*f + 2. Let s be g(-15). Suppose i + 90 = s*i. Suppose -6 = -2*d, -5*d - 24 = 3*b - i. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150 (base 11) to base 14\nAnswer: -c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**5\/3 + 1880*y**4\/3 - 292352*y**3\/3 + 14735512*y**2\/3 + 16034604*y - 20849616 = 0.\nAnswer: -4, 1, 153, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -159466*c**2*m*x - 58*c**2*m - 16*c**2 - 12*c*m with respect to x.\nAnswer: -159466*c**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/14 - (-6)\/21. Let c(z) be the third derivative of z**6\/120 - z**5\/60 + z**4\/24 + 10*z**3\/3 + 34*z**2. Is c(o) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 less than or equal to 39026203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-128)\/848)\/(323\/(-51357)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18466176 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtdzzdtttt. What is prob of picking 2 d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 932 is divided by 42?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 6:59 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/((-5)\/(-5) + 1). Let k = 22 - 14. Let m be -3 + 8 + v - k. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -0.83.\nAnswer: 0.083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j - 3. Let q(x) = -1. Let h(a) = o(a) - 3*q(a). Let f(p) = 4*p**2. Give f(h(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3 + 6 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 138?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + -1)\/(1 - -1). Suppose 20 + 7 = 3*d. What is the units digit of (d - -1) + 0\/u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174776183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*q + 34 = -431*q + 167 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 146 + -146.1. Which is the closest to -0.1? (a) -83 (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**2 - 10*v - 2. Let k be a(-7). Solve 0*u + k*i = 5*u - 10, -3*u - 1 = -i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzzzzzszzszzss?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42658852*q**5 - 11*q**2 - 1881275*q wrt q.\nAnswer: -2559531120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**5\/60 + x**4\/3 + 4*x**3\/3 - 5*x**2\/2 - 5*x. Let z(b) be the first derivative of m(b). What is the units digit of z(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3787 (base 15) to base 4\nAnswer: 2320303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f**2. Let n(p) be the second derivative of 11*p**3\/3 - 51*p - 1. Determine v(n(d)).\nAnswer: -2420*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60849 + -29878. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*v = 20, -4*v = 2*j - v - 12. What is the first derivative of j*f - f + 0 + 0*f + 1 wrt f?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*d**2 - 10*d**2 - 11*d**5 + 10*d**2 wrt d.\nAnswer: -660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Let v be (4*(-16)\/(-12))\/((-12)\/18). Let g = y + v. Let f(u) = -u**2 - 9*u - 2. What is f(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2063.59 to the nearest ten.\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -1\/20*h**5 + 0*h**3 + 0*h**4 - 6*h - 1\/2*h**2 + 0. Is l(-2) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10558?\nAnswer: 2, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r**2 - 14252*r - 6083072. Let c(g) = -3*g**2 + 7116*g + 3041536. Let p(a) = 15*c(a) + 7*l(a). Factor p(z).\nAnswer: 4*(z + 872)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(48)*3)**2 - (sqrt(528) - (sqrt(528) - (sqrt(528) - (sqrt(528) - sqrt(528)*2 - sqrt(528)))))\/sqrt(11).\nAnswer: -12*sqrt(3) + 431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -137 (base 11) to base 13.\nAnswer: -c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17 * -0.17812\nAnswer: -3.02804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4087, 42, 1, 17 in increasing order.\nAnswer: 1, 17, 42, 4087","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of g**4\/4 - 25*g**3\/2 + 99*g**2 + 4092*g. Factor p(o).\nAnswer: 3*(o - 22)*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 110 - 109.6. What is the second smallest value in 6\/5, -2, -5, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**5\/5 + 1796451*v**4\/5 - 1796457*v**3\/5 - 1796451*v**2\/5 + 1796454*v\/5 = 0.\nAnswer: -598818, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1315076 and 9380.\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 115907128?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -765*i = 23600 + 20005 for i.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 84\/90*(-2 - 166\/(-32)) and -31\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 8 (c) -1\/4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*a - 624 + 63258. Let g = 7111 - a. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**3 - 2*i**3 + 0*i**3)*(-1 - 2 + 0 + (1 - 2 - 1)*(1 - 1 - 1)) - 198 - 14*i**3 + 198.\nAnswer: -15*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -35*q - 105. Let j be a(-3). Let r = 18 - 9. Solve j = -5*z + r*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(4*(-90)\/(-120)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -81*o**4 - 23526*o**3 - 1689853*o**2 + 2671508*o - 1044484 = 0.\nAnswer: -146, 7\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 11:48 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 - 37 = -4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1336 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -12613 and -12699 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/9)*p**(-4))\/(p*p**(-1\/3))**38*((p*p**4\/p)\/p*p\/p**3)\/(p*p*(p*p*p\/(p*p*p\/(p\/(p*p**(4\/9)*p)))*p)\/p*(p\/p**(-5))\/p) assuming p is positive.\nAnswer: p**(-101\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375 = 69*m - 84*m for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -14)\/((135\/60)\/(-9)*-12)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3709 + 3941?\nAnswer: 724a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 484910 + 15*m**2 - 6*m**2 - 7*m**2 - 484867.\nAnswer: 2*m**2 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39896 = -2*f - s, -2*s = 5*f + 371 - 100112. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**3 + 35504649*h - 35504649*h + 14*h**3.\nAnswer: 17*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*d + 42*d - 21*d)*(-d**2 - 2*d**2 - 2*d + 0*d**2) + (3 + 0 - 1)*(3*d**3 - 3*d**3 + 2*d**3) + 4*d**3 - d**3 - d**3.\nAnswer: 36*d**3 + 20*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22111 (base 4) to base 7.\nAnswer: 1633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8880, 13970, 19060?\nAnswer: 24150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -150*m - 2 - 58*m + 2 + 787*m as g + o*m and give o.\nAnswer: 579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -213 - 2*i + 71 - 151 + (-i - i + i)*(-4 + 6 + 0).\nAnswer: -4*i - 293","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 126\/4 + (-6)\/12. Suppose -5*a + 194 = -z. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(176)*-3 + (-1 + sqrt(44))**2 + sqrt(11).\nAnswer: -15*sqrt(11) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 - 16 = 4*v - 2*k, 2*v = -k + 5. Let q(o) be the third derivative of 0*o - 1\/60*o**v + 0 + 1\/6*o**3 - 8*o**2 + 0*o**4. What is q(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by (-54)\/12*8\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*u + 871 = -454 + 258. Solve 12*t - 14*t - u = -3*c, -3*t = -5*c + 18 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13\/(-3) - 6\/9. Let m be (-4)\/10 + 13\/h. Suppose -16 = 7*l - 15*l. Put -4\/5, m, l in decreasing order.\nAnswer: l, -4\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4420210 divided by 884042\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8412687 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -725.2 + 733.2. Which is the second smallest value? (a) -0.5 (b) -3 (c) 5 (d) 0.1 (e) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-40)*40288\/3777.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/93 - (1 + -1 + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64*u**4 - 3040*u**3 - 3*u**2 - 3*u + 17450538 wrt u.\nAnswer: 256*u**3 - 9120*u**2 - 6*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + -2 - (-2 + (sqrt(80))**2)) + -1 + sqrt(5) + 2 + -5 + -5.\nAnswer: -89 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 3*u**2 - 5*u - 14. What is c(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**5\/130 - n**4\/13 + 25*n**3\/39 - 18*n**2\/13 - 1407*n. Factor p(s).\nAnswer: -2*(s - 2)*(s - 1)*(s + 9)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 65\/8*p**2 - 19*p**3 + 2*p**4 + 31\/4*p + 9\/8.\nAnswer: (p - 9)*(p - 1)*(4*p + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 0*v**2 + 2*v**2)*(5 + 2 - 5) + 2*v**2 - v + v + (-v + 1 - 1)*(3*v + 3*v - 5*v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -5*u**7\/147 - 2*u**6\/105 + 3*u**5\/14 + 8*u**4\/21 + 4*u**3\/21 - 42*u. Solve b(g) = 0.\nAnswer: -1, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 297190, 297188, 297186?\nAnswer: 297184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 27?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 35387*r + 778510. What is h(-22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 17*k**2 - 15*k - 1. Let r be y(16). Let p be ((-20)\/(-6))\/(((-80)\/r)\/16). Put -5, p, 5 in increasing order.\nAnswer: p, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**4 + i - i)*(2 - 2 + 2)*((0 + 4 - 5)*(-i + 2*i - 3*i) - 69*i + 892 - 892).\nAnswer: 402*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 25, 74, 153, 268?\nAnswer: 425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 37*u. Let k(p) = -2*p**2. What is h(k(i))?\nAnswer: -74*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 7:46 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5024 - 0.0024. What is the smallest value in 0.167, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*g - 22422 = 0. Let v be (-15)\/(-10) + g\/(-2). Suppose 14*s - v = -3*s. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 17 = -34*h + 35*h, -3*c - 5*h = 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 49\/63)*(-153)\/(-34). Sort 4, j, -0.7, 3, 0.1 in decreasing order.\nAnswer: 4, 3, j, 0.1, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23215*s**2 - 190*s + 23212*s**2 - 12 + 19 - 7 - 3196*s**3 wrt s.\nAnswer: -19176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 11:44 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 66\/4 + 8 + (-1)\/2. Let x be (-1*(-7)\/(-21))\/((-1)\/i). Solve 4 = v, -v + x = 2*g + v for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3762 is divided by 249.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of d**3\/3 - d**2\/2 - 4*d + 2. Suppose 6*p - 4*p - 6 = 0. Let h be m(p). Solve -3*n = 5*a - 3, 2*a + 3 - 1 = h*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**4 + 6408*n**3 - 6414*n**2 - 6408*n + 6411 = 0.\nAnswer: -2137, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6357871.\nAnswer: 13, 233, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-309)\/(-309)*9\/(-2)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*d - 5. Let w be (d - -1) + -3 - 4. Let m be (-3)\/w - 49\/(-35). What is the nearest to -2\/7 in m, -1\/3, 1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12150 and 357450?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-240)*-10*0\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (656\/287)\/((-2)\/7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**2 + 5*r**2 + r**2 + 0*r**2 - r**2 - r**2 + (-3 - 2*r + 3)*(-2 + r + 2) + 3*r**2 + 30*r**2 - r**2)*(r**2 - 3*r + 3*r).\nAnswer: 30*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 109368613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 11*i**2 - 34*i + 123*i - 39*i - 50*i. Let r(g) = 3*g. Calculate r(p(u)).\nAnswer: 33*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwuugcggg. Give prob of sequence ug.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 49*n**2 - 81*n - 268. Calculate the lowest common multiple of 42 and l(47).\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*j + 91 = 3*j, 0 = 5*u - 3*j - 145. Suppose -73 = -0*n - 4*n + y, 3*y + u = n. What is the remainder when n is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1736857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*r + 731 = 3*w, 3*w + 5*r = 445. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 266 divide 955155992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*f = -c + 17, 5*f - 8 = c. Let g(j) = j**3 + 3*j**2 - j + 1. Let z be g(c). Suppose x - 4 - z = 0. Solve -1 = 3*i + x for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*o - 19. Let w be (-144)\/(-27)*o\/(-8). What is the units digit of 6\/w + 114\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/266768 and 61\/60?\nAnswer: 4001520","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -5. Suppose -b + 5*b + 5*w = -6, -2*b - 4*w = 6. Let t = 6 + -4. What is the second smallest value in t, m, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 17 (b) -1446676\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*-26.8.\nAnswer: 509.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**2 + 401*y - 146909. Give v(-298).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + z + 15, 5*z = i + 2*z + 15. Suppose 4*w - 4 - 7 = -v, 0 = -3*v + 5*w - 35. Let l = v - i. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13152 divided by 4.\nAnswer: -3288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.05 - -49.15. Round c to the nearest integer.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(4\/13)*d**(-3)*(d\/(d\/(d*(d*d\/(d**(-5)\/d))\/d*d)))\/(d**(1\/7)\/d*d*d))**33)**(5\/7) assuming d is positive.\nAnswer: d**(77550\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -2*j**5\/5 - 7*j**3\/3 - 1575*j + 36. What is the derivative of l(g) wrt g?\nAnswer: -8*g**3 - 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3867 + 4070.1. Let s = 213 - z. What is s rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 - 31*r + 134. Let y be v(7). Let s = y - -181. Determine n so that s*n**2 + 0 + 0*n**3 + 0*n - 4\/5*n**4 - 4\/5*n**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*g*o**3 - 3*g*o**2 - 18699*g - 138*o**3 wrt o.\nAnswer: 174*g - 828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*z = 232*z - 50. Let i be (-91499)\/1 + -3 + 7 + z. Round i to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2069*x + 2749710. Give a(1329).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 divided by 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r**2 + 2*r**2 + 2*r**2)*(-5 + 0 + 1) - 343*r**2 + 165*r**2 + 165*r**2 as l + p*r + v*r**2 and give v.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 128*r**2 + 751*r + 1. What is z(-6)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**3 + 3*x**2 - 4*x - 6. Let d(s) = 2*s**3 - 4*s**2 + 5*s + 7. Give -6*d(t) - 7*v(t).\nAnswer: 2*t**3 + 3*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 8834 = 5*k, 5*l - 3*k + 4935 + 17150 = 0. Is (l\/28)\/((-1)\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6562 (base 10) in base 3?\nAnswer: 100000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f**2 + 267*f + 414. Give a(90).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 4590.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence le when two letters picked without replacement from eheezlhehhhzzhhhzhlh?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8919109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 10 + -2 - (-8 - -14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 25\/10*(-12)\/15. Suppose 0*t - 5*t + 70 = 0. Calculate the remainder when -5 + (-1)\/s*(56 - -2) is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 7*r = -4*r, 20 = 5*i - 5*r. Let t be 4\/(-12) - i\/(-6). Is 0 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*6\/8*(-163914)\/273190?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)*-1)\/(-4*(sqrt(8) - (sqrt(8) + sqrt(32)\/sqrt(4)))) + (sqrt(16) + -1*sqrt(576))\/(sqrt(8)*-1*-1).\nAnswer: -23*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 23 + 49. Suppose -v*y + 48 = -24. Solve 7*t = y*t + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23135 or 23140?\nAnswer: 23140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -14\/3*y**3 + 0*y + 11\/24*y**4 + 14*y**2 + 0. Does 21 divide b(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (77 - (-2339411)\/(-30378))*(-12)\/15?\nAnswer: 2\/249","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -38. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + sqrt(475) + 1 + 5)**2*1.\nAnswer: 120*sqrt(19) + 1022","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10478 or 9709?\nAnswer: 9709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-26 - 1)\/((-4)\/((-360)\/(-27))). What is the greatest common divisor of o and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 6*q**3 - 6*q**2 - 28. Let j(a) = -7*a**2 + 5*a. Give 12*j(c) + 5*n(c).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10818 = -11*j + 17*j. Suppose -97 = -19*c + j. Suppose -4*m = -74 - 6. What is the greatest common divisor of m and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32b67 (base 12) to base 5.\nAnswer: 4123302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1279 - -1915. Suppose 3*v + 2*v + s - j = 0, 504 = 4*v - 4*s. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -9, -0.2 in increasing order.\nAnswer: -34, -9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1917939410.\nAnswer: 2, 5, 23, 41, 203387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 15*j + 152. Let x be z(-10). Solve 0 = x*i + 2*i + 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1630 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*0\/(-1 + 0). Calculate the common denominator of 21 + ((-2511)\/310 - 16) and c + 1 + 50\/(-16).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/325)\/(-36*(-98)\/26460).\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52.43 + -54.43. Let g = 3 + -14. Let p = g + 7. Are u and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 22*g - 399. Calculate w(17).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2279\/60 + 159\/4. Let a = i + -4\/15. Suppose -a*k + 3\/2*k**2 + 0 = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5387716, -10775418, -16163120, -21550822, -26938524, -32326226?\n\"Answer: -5387702*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1240*t**2 - 196 - 3871*t**2 + 1393*t**2 + 196 + 1241*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q - 19*q - 2*q**2 + 9*q to j + v*q**2 + a*q and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30955495.\nAnswer: 5, 37, 149, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -757, -765, -757, -733, -693?\nAnswer: -637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*u**2 - 820*u**2 + 240*u**2 + 369*u**2 + 3*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = n - 0*n + 2, 2*n = j - 7. Let i be -2 - (-2 - 0) - n. Let b(w) = -3*w**2 - 7*w**3 - 1 + i*w**2. What is b(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -293*u**2 + 566*u**2 - 274*u**2 - 5189*u**3 to the form j*u**2 + o*u**3 + p*u + k and give o.\nAnswer: -5189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 87087693115 and -18.06.\nAnswer: 87087693096.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 0 - (3 - 17)) + 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 77\/5 of a litre?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**3 + 2*q**2 + 2*q. Let f be h(-1). Suppose -n - f*k = 6, 3*n + 0 = -k - 38. Is (72\/n)\/((-21)\/98) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 45*g = -49*g + 89*g - 58, 4 = -4*d - 2*g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -1. Let n be (k\/5)\/((-7)\/5). Let w = 0.1 + 0.1. Put n, w, 2 in increasing order.\nAnswer: n, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 15 = -0*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38753 is divided by 7742.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46402 = 4*n + 3*n + 4066. Does 24 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -10*j - 10. Suppose 6*c = 4*c + t - 1, -c + 4*t - 18 = 0. Give s(c).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -1\/12 (c) 2 (d) 2\/17 (e) -1\/4 (f) 4851\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42368642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/63*15)\/((-30)\/108).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 57185b + 6?\nAnswer: 571865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 77156.5us?\nAnswer: 77156500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(2\/5)*p*p*p)\/p)\/p**0*(p\/(p*p*p**(-1)))**(-9\/2) assuming p is positive.\nAnswer: p**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2832 by 4.\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from velevjqljqrevvlj. Give prob of picking 1 e, 1 l, and 1 v.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1032 + 0.0684. Let y = -0.2652 + z. What is the second smallest value in -0.08, -2\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -545 - -905. Suppose -2*v + i + 616 = 3*v, -3*i - k = -3*v. Let c = 13 + v. What is c rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3 - -3) + -3)*5\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347525302 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, l: 1, v: 1, o: 1, i: 2, w: 1}. Give prob of picking 1 k and 1 l.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25305888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 444.9516 kilograms to milligrams.\nAnswer: 444951600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (o + 2*o - 14*o)*(16 + 14 - 12) as y*o + u and give y.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 4\/7, -1\/2, 0.026?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 7 - 2. Let o be (0 - h)*16\/(-10). Let l be (-24)\/(-60) - 8\/(-5). Solve 0*w = -l*w + o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 2*f**3\/3 - 401*f**2 - 804*f - 13030. Let g(q) = 0. Calculate q.\nAnswer: -1, 402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*g = 36, -81*g + 18 = 3*k - 78*g. Solve 12*m - 8*m + 2*b = 24, m = -2*b + k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*p + 162 = 2*x, 3*p - 2*x + 124 = 0. Let c = p + 72. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 593.86 and 1.\nAnswer: 594.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12416937?\nAnswer: 3, 13, 19, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-21)*(-61446)\/(-3135).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0137355395 to five dps.\nAnswer: -0.01374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + z = a + 10, -a + 30 = -5*z. Let h be a\/(-6) + (-649)\/(-66). What is the greatest common divisor of h and 981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10856813 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/4 - (-1 - 1). Let d(h) = 24*h + 1. Let v be d(r). Suppose 0 = b - 6*b + v. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1236102 divided by -65058.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 221 - -120. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 3\/2*u**2 + 0*u - 5. Let l(f) = -f**2 - 4*f. What is -4*d(w) - 3*l(w)?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12483 is divided by 297.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 123 + -122.8. What is the nearest to 1 in -0.66, 4\/3, h?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.4999866 - -1.5. Round s to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.4 take away -1182.695517031?\nAnswer: 1195.095517031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5a98b8 (base 14) to base 15\nAnswer: -413671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13246652 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 + 226 = 4*a. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**4\/24 + 5*p**3\/6 + 4*p**2. Let a be r(4). What is the units digit of (1 + 3)*a\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - 257.\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 154 and 18062?\nAnswer: 126434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -3, -110, -2 in descending order.\nAnswer: 5, -2, -3, -5, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*u + f, -u = 2*f - 5*f - 10. Let w = -15 + u. Let i = w - -11. Calculate the remainder when i is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 3.5. Let h = 1.6 + 0.4. Which is the third smallest value? (a) w (b) h (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 1861, -0.1, -2\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -14 + -1 + 20 - 8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 291.759?\nAnswer: 293.759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 40*y - 5. Suppose -52*u - 56*u + 29*u = -1422. Let v(p) = 10*p - 1. Calculate u*v(l) - 4*w(l).\nAnswer: 20*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -20.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*u**5 - 4*u**5 + u**3 - 8 - 4*u**4 - 4*u - 2*u**5 + 10*u**2.\nAnswer: (u - 2)**3*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 8. Let k be (-15)\/(i\/(-10) - -1). Let d = k - 37. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114481?\nAnswer: 239, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -533361485 by -6274841.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 9 = -0*f + 3*f, -5*c + 35 = 5*f. Suppose 2*k - c*i = -0*i + 2, -4*k = 2*i - 16. Let v(p) = 582*p - 16. Let d be v(k). Round d to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -b - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 14*i**2 + 12*i + 10. Calculate v(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55 by 2.\nAnswer: 55\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8279 (base 10) in base 15?\nAnswer: 26be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.526 + 2.164. Let t = -2.69 + p. Let z = -0.8 + 0.5. Which is the second smallest value? (a) z (b) 2 (c) 0.2 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -214 + 374. Is 32 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -0.1. Let f = p - 0.2. Let r = -18889\/3 - -6297. What is the nearest to f in -5, r, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1529626 and 2142?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 4 (b) 2\/11037 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1179*q**2 - 27 - 1063*q + 2738*q + 56 - 29 wrt q.\nAnswer: -2358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13010103303 - 2?\nAnswer: -13010103311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3466953420425 - 41.\nAnswer: -3466953420466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000612333175 to 5 dps.\nAnswer: -0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4096443.76 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 plus -37.899?\nAnswer: 515.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 19 + 18*p)*(2*p - 3 + 3 + (2 - 5 + 4)*(-4*p + 2*p + 4*p)).\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 + -16 + 11 - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (83 - 77) + -4 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 7*q - 9. Let m(v) = v - 9. Let y be m(15). Give t(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 3*o + 45 = -s, 2*s - 2*o - 18 = 0. Is 2\/3 + 327\/s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 69.93 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-15)\/((j\/(j*j**(5\/8))*j)\/j) assuming j is positive.\nAnswer: j**(-115\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (104\/6)\/(-2*1\/12). Suppose -5*x - 5*a = -520, -3*x = x - 4*a - 456. Let t = h + x. Put -6, t, -4, -2 in ascending order.\nAnswer: -6, -4, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 6332cbbb?\nAnswer: -6332cbb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + 12*p = -840. Differentiate -173*u**3 + p*u**3 + 2*u - 2*u + 11 wrt u.\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 3:52 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238202137?\nAnswer: 101, 881, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1265817839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 + i. Let h(x) = 409*x**3 - 218*x**2 + 5*x. Let s(l) = h(l) - 5*z(l). Find the third derivative of s(g) wrt g.\nAnswer: 2514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 20 = -2*r, 7091*r - 4 = 4*g + 7092*r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 3925263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 26287081 rounded to the nearest ten thousand?\nAnswer: 26290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42459 - 42429. Solve 0 = 932*b - 938*b + u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**5\/450 - n**4\/180 - 2*n**3\/45 + 7*n**2. Find j, given that s(j) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 3*a + 5. Suppose -11*y + 9*y = -4. Suppose y*g - p = 12, 0*p + 5*p = -3*g - 8. What is x(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247600*y - 176485*y - 473259*y.\nAnswer: -897344*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 417 + -1671\/4. Let t be ((-7)\/3 + 1)*-3. Put a, t, 0.4 in increasing order.\nAnswer: a, 0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/5 (b) -2 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -33*l. Let h(y) = 7086*y - 14221*y + 7102*y. Give h(i(v)).\nAnswer: 1089*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 6:53 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + o = -2*o. Let c be (42\/49)\/(o - -3). Let u be (-2)\/(13\/((-195)\/(-10))). Put u, c, 5, 0.2 in descending order.\nAnswer: 5, c, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**4 - 4*z**3 + 48*z**2 - 16*z - 64 = 0. What is z?\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20870 and 16940?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1042\/291760)\/(15\/(-240))?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*g = -335, 2*w - 429 = -5*g + 241. Round w to the nearest 10.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 7*g**2 + g + 11. Let v be t(-7). Let h(a) = -a - 2. Let j(m) = -m - 2. What is v*h(i) - 3*j(i)?\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 640648 = 5882*x - 17986 + 164546 for x.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 695.6 + -1109.5. Let h = y + 414. Which is the biggest value? (a) -2\/13 (b) -31 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/408*4)\/((-5)\/105*7)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -285 (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -7 + 8 + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 10 = 35. Let o = q - 7. Let z(c) be the third derivative of c**4\/12 + c**3\/2 + 14*c**2. Give z(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/7 (b) -27 (c) 3 (d) -144\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gcb when three letters picked without replacement from {b: 2, c: 1, i: 4, g: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33584096 a multiple of 4256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1013203 (base 4) in base 8?\nAnswer: -10743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (270 - 268) + 0 + 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150 and 690?\nAnswer: 3450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84 + -70. Let q be (p\/6 + -2)\/((-32)\/(-144)). Determine l, given that -q*l + 0 + 3\/2*l**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/918*-2*-9\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 3*p + p)*(125*p**4 + 23185*p - 23185*p + (2*p**3 - 3 + 3)*(-4*p + 2*p + p)).\nAnswer: 246*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 773215059 to the nearest integer?\nAnswer: 27807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/21 - ((-344)\/(-56) + -10). Solve -3*r = 2*b - 3, h*r - 2*b + 3 = -7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*l - 58 = -l, -4*k + 124 = 4*l. Suppose -k*t + 8293 = 1093. Does 48 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**3 + 4*t**3 - 4*t**4)*(128*t + 1 - 209*t + 1).\nAnswer: 324*t**5 - 8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 m, and 2 q when four letters picked without replacement from {m: 3, q: 4, v: 5, y: 1}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 7*d + 3*a - 27 = 0, d = 4*a - 11. Calculate the remainder when 1238 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 3*x - 2*l - 2, 0 = -5*x + 4*l + 26. Suppose -3*k = x*k. Suppose -2*r + 2*d + 4 = k, 0*r = r - 3*d - 4. Solve 0 = -2*s + r - 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 2 - 1 - 4) + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 802, 803, 804, 805?\n\"Answer: s + 801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.224 and -3.\nAnswer: -3.224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -170 + -6?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6753?\nAnswer: 3, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -210241 (base 6) to base 5\nAnswer: -1020240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2575 + -2574.6. What is the nearest to -7\/5 in 2\/11, 1, v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100111 (base 2) to base 10\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1939, -1, -2 in descending order.\nAnswer: -1, -2, -1939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -51*(-53)\/8109 - 6106\/66. Are -91 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 46*p**2 - 213*p + 62. What are the prime factors of u(-34)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.85 - -7.83. Let a = -37 + 54. Let k = a - b. What is k rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26415623169197 + 0.4.\nAnswer: 26415623169197.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -576337, -1152670, -1729003, -2305336, -2881669, -3458002?\nAnswer: -4034335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y - 1 - 23*y**2 + 22*y**2 + y - 3*y. Let c(i) = 9*i**2 - 2*i + 8. Let d be 4*(-4)\/((-8)\/(-3)). Let j(h) = d*p(h) - c(h). Give j(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 5*s - 23, -16 + 13 = -3*k + s. Suppose -18*j + 8440 = k*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 61\/2 of a second?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 22 = -24 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97*i**3 - 97*i**3 + 8*i**4)*(0*i + 3*i + 2*i) + 2 - 2 - i**5.\nAnswer: 39*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - 6 - (-3 - 36). Suppose 0 = -h + 4, d - 3*h = 5*d - p. Factor -d*m**3 - 2*m**3 - 3*m**3 + 9*m**3 + 4*m**2.\nAnswer: -2*m**2*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5.794 and 8.384.\nAnswer: 14.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/(-60)*5)\/(0 - 1\/(-8)). Let f(v) = v - 1. Let b(r) = 16*r + 35. Let x(y) = -b(y) + 2*f(y). What is the tens digit of x(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/9, 15\/31, -4?\nAnswer: 15\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 + 5*q**2 - 5*q**2 + 135*q**3 - 5*q**3.\nAnswer: 127*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9595 + 21171. What are the prime factors of l?\nAnswer: 2, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77970.\nAnswer: 2, 3, 5, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v + 2447 = -11313. Suppose 3 = m - 40. Calculate the greatest common factor of m and v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2277613480?\nAnswer: 2, 5, 56940337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6.729192 or 1\/4?\nAnswer: -6.729192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4260079 by 42179.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1256 is divided by 71.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, x: 1, o: 2, w: 1}. Give prob of picking 1 w and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*v - 57*v + 112*v = 286 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -148 + 147. What are the prime factors of (387 - 31) + (-2 - (-2)\/n)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9*(-2)\/3*(2800\/(-180))\/70. What is the second smallest value in -1, -0.6, -26, h, 1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r**3 - 156*r**2 - 154*r - 114. Let n be y(40). Let b be (-36)\/8*-1*2. Calculate the greatest common divisor of n and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1579.0001835 - 1579. Round g to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 5. Let o be (-2)\/((-9)\/d - 2). Suppose -y + o + 0 = 0. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/4*(2\/(-18) + (-361)\/(-171))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 44513447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -4*x - 1, -4*n = -6*x + 7*x + 13 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/42*1*61\/(1586\/6188)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 199 + -200. Sort 2\/9, -1\/2, d.\nAnswer: d, -1\/2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -410*i**3 - 9542*i**2 - 33414*i - 2394 = 0. What is i?\nAnswer: -19, -21\/5, -3\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + (8 - (-1 - -1)). Suppose 32 + 8 = -5*w + o*i, 5*i = 20. Let u(g) = -5*g - 6. Let s(k) = k + 1. Calculate w*s(b) - u(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/31 - -109\/248. Which is the third biggest value? (a) p (b) 0.3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 2*a - 4*a)*(3 - 1 + 7) in the form v*a + z and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.55 times 1135?\nAnswer: 1759.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -830*t**2 - 847*t**2 + 2523*t**2 - 827*t**2 - 4*t.\nAnswer: 19*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -51301299 divided by -17100433?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.05, 73, 8.4, -2\/9, 0, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -69 (b) -1562\/17 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 - 72. Let n = 68 + -71. Which is the nearest to 1? (a) o (b) n (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n + 2*n + 13*n.\nAnswer: 22*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - x - 7 = 3*n, -4*x + 3*n - 61922 = -61923 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 7 + 31 = 4*p, 3*y = 2*p - 2. Let w = -3 + p. Let b = 371\/5 - 74. Sort b, w, -0.5 in decreasing order.\nAnswer: w, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10, f: 4}. What is prob of sequence qfq?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2. Let i(n) = -155*n + 71. What is i(l(s))?\nAnswer: -465*s**2 + 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b. Let t(w) = -2*w - 6*w + 2*w. Calculate t(a(u)).\nAnswer: -30*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -15) + -10 + 14 + -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 4*g - 3. Suppose -9*w + 14*w = -10. Let d be x(w). Let o(c) = -10*c - 1. Let y be o(-1). Is y at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2283238 (base 12) to base 3\nAnswer: -110111101210022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36008911 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -h**8\/784 - 3*h**7\/490 + h**6\/280 + h**5\/20 - 2*h**3\/7 + 6*h**2. Find i such that g(i) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1482b84 (base 12) in base 10?\nAnswer: -4152340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -462541000 rounded to the nearest 1000000?\nAnswer: -463000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2814 divided by 1202.\nAnswer: 1407\/601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 235 = -3*d. Suppose -14 = x - d. What are the prime factors of x + ((-4)\/1)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - 2 - 1 - -1) + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 11:17 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a millennium in months?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27258303\/16 + 1702834. Let b(t) = -810*t**2 - 4*t + 3. Let r be b(1). Let h = r - c. Find the common denominator of h and 89\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 5)*(14*u**2 + 12*u**2 - 32*u**2)*(u**2 + 5*u**2 - 4*u**2) in the form y + p*u + n*u**2 + w*u**3 + k*u**4 and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 2*l - 1. Let p be f(2). Let c = p + -1. Suppose w - 15 = 5*n, 3*n = 15*w - 17*w - 9. What is the second biggest value in c, n, -3\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 4*r + 10*r - 89*r - 98*r + 289*r + (3 - 2 + 1)*(0*r + 0*r + r))*(3*r - 6*r + 5*r).\nAnswer: 224*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*u - 3*c, -5704*u = -5704*u + 2*c + 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8781 or 8789?\nAnswer: 8781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 5*p**2 - 20*p - 89. Calculate j(-8).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 282542071 by 3.\nAnswer: 282542071\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 16*b**2 + 16*b - 2. Let h(c) = -178*c**2 - 537*c + 6. Let w be h(-3). Calculate i(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - -4 - 13*-3. Let j be ((-92)\/115)\/(4\/130). Let x be (-6)\/t + (-56)\/j. Solve -x*n - 8 = -0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/12525 and 179\/1650?\nAnswer: 275550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -6*l + 24. Suppose 5*x - 18 = 52. Let r be w(x). Find the common denominator of -95\/8 and 362\/r - 1\/(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 43038.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 42*b + 65. Let i be c(-41). Solve i*n + 5 = 107*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344829931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 37b - 11?\nAnswer: 36a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 21. Solve -2*d - 17 = -7*d - p*o, 8 = 4*d + o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 81190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -22366.50171 to the nearest ten.\nAnswer: -22370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.5 (b) -1 (c) -0.4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82429, 164430, 246425, 328414, 410397, 492374?\nAnswer: 574345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/5)\/(6\/90*24)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -60*f - 5. Suppose 72 = -4*c + 68. Does 25 divide o(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i - 6*i + 0*i**3 - 8*i**4 + 0*i**3 wrt i.\nAnswer: -96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22676792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77 + -65. Suppose -n*d + 338 = -13*d. Let v = d + 619. Is 16 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 10330?\nAnswer: -1032f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -7*k**2 + 190*k - 15. Give n(28).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 18*w + 10. Let x be -8*(-5 - (-22)\/4). Sort 9, x, w in descending order.\nAnswer: 9, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36082757 to the nearest integer?\nAnswer: 6007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2)*k*k**(-2\/15)*k**(-1\/8)*k*k**(-14) assuming k is positive.\nAnswer: k**(-1711\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.4, -5, -17, -0.6, -0.2 in decreasing order.\nAnswer: 1.4, -0.2, -0.6, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, p: 2, b: 1, a: 9, y: 1, r: 1}. What is prob of sequence ra?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 + 131. Let f(q) = 13*q**2 + q - 13. Give f(p(s)).\nAnswer: 52*s**4 + 6814*s**2 + 223211","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 9:55 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -967*o**5\/60 + 911*o**4\/24 + 67*o**2 - 1. What is the second derivative of u(v) wrt v?\nAnswer: -1934","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 409*t**3 - 408*t**3 + 27*t - 27*t.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 100, -4, -532, 0, -0.27?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 619 is divided by 363.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (2 - (2 - -1)). Let h = t - -4. Suppose -3*k + 5 = -5*d, 2*k - h = -5*d + 3*k. Solve 4*g - 2*z = 6, -d*g - 5*z - 15 = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 289*h - 25892. Determine u(89).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d**2 - 1. Let a(s) = -12*s**2 + 2. Let c(y) = 2*a(y) + 5*k(y). What is the derivative of c(l) wrt l?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10722 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 599 + -610 - (-1 - -7).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111036.\nAnswer: 2, 3, 19, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -4 + -1 + 1 + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 25*s**3 - 15*s**2 - 15*s + 15. Let m(g) = g**3 - g**2 - g + 1. Let b be ((-1080)\/234)\/(4\/26). Determine b*m(k) + 2*j(k).\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, c: 2, q: 9}. What is prob of picking 1 q and 2 s?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -35 - 9\/(1 + 2). Let d be ((-57)\/l)\/((-6)\/(-20)). What is the third derivative of -m**3 - 7*m**2 + 2*m**2 - d*m**2 - 10*m**3 wrt m?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7134?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*x**4 + 103*x**2 + 56*x + 3 wrt x.\nAnswer: -24*x**2 + 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2. Let x = 0 + 0. Suppose -c - 5 - 1 = x. Let p(k) = -k. Let n(m) = -7*m. Let i(w) = c*p(w) + n(w). Calculate i(b(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) 5 (c) -0.05 (d) 2 (e) -2\/9 (f) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-35)\/21 + 8371. Suppose -31*o - s = -33*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50017 + -1 - 15\/(-3)*(-28)\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crariiiria. What is prob of picking 2 i and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -100 - -103. What are the prime factors of 5 - -127 - (6\/y - 2)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**5 + 169*p**4 - 519*p**3 - 509*p**2 + 1210*p + 1032 = 0?\nAnswer: -172, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 12*b + 11.\nAnswer: (b - 11)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 <= 0.107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 34*y - 62. Let t be (-15*(-6)\/60)\/((-3)\/(-44)). What is the hundreds digit of f(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1853, 1843, 1819, 1775, 1705, 1603, 1463?\n\"Answer: -i**3 - i**2 + 1855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -3*z - 2*z. Sort -1, z, -4, 4.\nAnswer: z, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 152145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 4 (c) -2 (d) -0.107\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 5*j + 8. Let n be d(6). Suppose 0 = n*a + 2*a - 16. Let l = -5 - -7. Solve a = -l*r + 6*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/11)*v\/v**6)\/(v**(-3)*v*v**(-3))*v*v\/(v**(-2\/11)\/v)*(v*v**(-3))\/v*v**(-6)*(v**(-4)*v)\/v assuming v is positive.\nAnswer: v**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**3*z**2 - g**3*z + 25566*g**3 - 10*g**2*z - 100*g*z**2 - 2*g*z wrt g.\nAnswer: 6*z**2 - 6*z + 153396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + g - 1. Let k(s) = 3*s**2 - 4*s + 4. Let o(x) = k(x) + 4*q(x). Suppose 3*u = -3 + 9. Let b(h) = h - 11*h - u*h. Give b(o(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19284 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: Convert 27818.5005 minutes to weeks.\nAnswer: 2.759771875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25341 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60*u + 5*u**3 + 36*u + 24*u + 55*u**2 - 95 - 85.\nAnswer: 5*(u - 1)*(u + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + l - 66, 0 = -3*l - 2*l + 5. Let t be 0 + 6\/(-15) + 1206\/90. What is the greatest common factor of q and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 23. Let j be ((-38)\/(-57))\/((-2)\/m). Let h(o) = -o**3 + 6*o**2 - 8*o + 11. Let i be h(3). Which is the closest to j? (a) i (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35265528 and 198?\nAnswer: 387920808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4840 + 466 + 147 - 4017 + 1147)*(6 - 2*z + z - 2) to t*z + q and give t.\nAnswer: 7097","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/15 - 0)\/(2\/(-10)). Let f = 13 + -3. What is the remainder when f is divided by 8\/j + (0 - 2) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 849.\nAnswer: 2547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29083382, 29083381, 29083380, 29083379?\nAnswer: 29083378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r - 4. Let z be s(4). Let d be 3*2\/42 - z. Put 2\/13, d, 0.2 in ascending order.\nAnswer: d, 2\/13, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111110010 (base 2) to base 8\nAnswer: -762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 4*m - 38, 4*m = y + 2*m + 2. Let s(h) = -13*h - 4. Let u(k) = -5*k - 1. Let x(c) = 2*s(c) - 5*u(c). Let n be x(y). Solve 5 = n*q - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 363.75 + -5323.15. Round m to the nearest ten.\nAnswer: -4960","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 5*i + 92, -5*h - 19*i + 15*i + 565 = 0. What is the remainder when h is divided by 32?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -22.95. Let v = -120 - -116. Which is the nearest to 0? (a) k (b) 0.3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -409 + -1246129.\nAnswer: -1246538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2\/17*k**2 + 2\/17*k + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**2\/4 + 3685*x\/2 - 460341\/4 = 0.\nAnswer: 63, 7307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 20, 2*n + 2*n + 3*t + 7 = 0. Suppose n*z - g = -179, 218 = -4*z - 4*g - 170. Sort 5, 1, z, -5 in decreasing order.\nAnswer: 5, 1, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, -2, 5.\nAnswer: -5, -2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h - 8. Let c(g) = 3*g + 10. Determine 5*c(x) + 6*r(x).\nAnswer: 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10 - 5) + (-42)\/12)\/(6\/(-56)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 548, 536, 492, 398, 236, -12, -364?\n\"Answer: -3*l**3 + 2*l**2 + 3*l + 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v + 2*v + v - v - 3*v + 6*v - v + 2*v + 2*v + (-5*v + v + 0*v)*(3 + 1 - 3) - 212 - 23*v + 212 to the form o*v + y and give o.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qln when three letters picked without replacement from qflqqqlnlqqqfliflnq.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*q**3 - 391*q**4 + q**2 + 5 + 395*q**4 - 12 - 2*q + 1 to p*q**4 + h*q**3 + l*q + y + i*q**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 214 = 4*k - 2*b, -4*b = 4*k - 188. Calculate the highest common divisor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 8. Let i(f) = 11*f. Give i(p(r)).\nAnswer: -11*r**2 + 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2201*z + 2868 wrt z.\nAnswer: 2201","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 8\/2 + -5. Let d(f) = -f**3 - 5*f**2 - 7*f - 15. Let k be d(w). Let i be 0\/(k\/(5 + -2)). Solve -5*l - 4 - 9 = -2*s, i = 4*s + 2*l + 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (122 - 127) + (4 - 0) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13\/5 (b) 1 (c) -0.03 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-54)\/(-5) + (-2)\/(-10). Suppose -11*s = -4*s - 7. Let d be (-55)\/(-2)*(s\/5 + 1). What is the greatest common divisor of w and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (37 - -3)\/(-4)*5. Let s = -16 - q. Let w = -103\/3 + s. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 697996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, m: 1, f: 12}. What is prob of picking 3 f and 1 m?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 35 (c) 0.2 (d) 0.5 (e) 15\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27524052.5 rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/10 - (-323)\/(-885). Let a = 3415\/649 + p. Let u = 1\/330 + a. What is the common denominator of 101\/2 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - z = 0, 0 = 5*c + 3*z - 1 - 1. Let a be 4\/(2\/(-2*c)). What is the units digit of (a\/(-6))\/(4\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 1 - -8 - -3) + (1136 - 1169)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 24*f**2 + 871*f - 620. Determine w(-37).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29.67 - -0.67. Let g = 34.7 + o. What is g rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*2*5*1)\/(sqrt(90) - (sqrt(90) + -1*sqrt(90)) - (sqrt(1210)*-1 + sqrt(10))).\nAnswer: 10*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3294 and 26491812?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 505836 - 503183.51. Let b = t - 2666. What is b rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**5\/60 - 7*f**4\/24 - 2*f**3\/3 + 4*f**2. Let a be w(-6). List the prime factors of -3 + (-2 - (-14 - a)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*c - 704, 3*d + 2*d + 3*c = 843. Is 35 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by 18?\nAnswer: 49\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -4 (c) 0 (d) 3 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -3\/4, -0.2, -3\/5, -11 in descending order.\nAnswer: 2\/13, -0.2, -3\/5, -3\/4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 107*k**3 + 6*k**2 + k. Let t(l) = 106*l**3 + 7*l**2 + 4*l. Let f(a) = 5*t(a) - 6*x(a). What is the third derivative of f(q) wrt q?\nAnswer: -672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1*(1 + 10))\/(-1). Let v = 110 - i. Calculate the highest common factor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -105.86 - -105.84. Which is the closest to -1? (a) g (b) -2\/17 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 6*i - 9. Let b be w(1). What is the biggest value in -0.4, 7\/10, b?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*m - 104 = 0. Let t(n) = 44*n**2 + 13*n - 33. Let r be t(2). What is the highest common divisor of r and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1988968 less than or equal to 1989189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 5:48 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1000 - -703. Suppose 3*y - 1756 = -4*k, 4*k = y - 474 - 106. Let r = y + z. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 314 + -601. Let g = -287.1 - n. Which is the biggest value? (a) -5 (b) g (c) 6 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 3 - 44*f**2 + 0 + 54*f**2 in the form x + r*f + o*f**2 and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 9 + -8 + -6 - 19 - -9.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3\/2, -1\/2, -625, 21\/20?\nAnswer: 21\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65718 * 0.5.\nAnswer: -32859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 146 - 149. Which is the nearest to -1\/3? (a) 0.5 (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 24 = v, 0 = -g + 3*v + 21 - 4. Suppose 5*o - 2*o = g*k + 16, 37 = 5*o + 2*k. Solve 2*c - 3*b = 1, -3*c + b + o = -4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.83092 rounded to two dps?\nAnswer: 88.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -622 + 18*p**3 + 622 - 13*p**2 wrt p.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 18 = 2*h, 4*c + h - 11 = 26. Suppose 4*i + 234*n = 231*n - 6, 0 = -2*i - 2*n - 4. Sort c, i, -2 in decreasing order.\nAnswer: c, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -5 (b) 26637 (c) 2.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010101101 (base 2) in base 4?\nAnswer: -102231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 + -203000?\nAnswer: -202221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k + 1. Let x be h(-1). Suppose -8 = 4*j + 8, -x*t = 5*j - 945. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lmmmbmbmbbmlmlmmmm. Give prob of picking 1 b and 2 l.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12421 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 169 = 175. Let i(w) = 2*w**2 - 13*w + 9. Let t be i(u). Solve -5*z - t*o = 32, -5*z - o = -0 + 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -38 and 0.05.\nAnswer: -37.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 316 = -4*d + 30, d + 2*b = 85. What is the remainder when d is divided by 64?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 140*a**2 + 14*a. Let j(d) = 47*d**2 + 4*d. Let q(k) = 7*j(k) - 2*z(k). Let h(c) = c. Determine q(h(g)).\nAnswer: 49*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3227154858.\nAnswer: 2, 3, 29, 61, 11261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(1\/8)*c*c\/(c**(-2\/13)*c))\/((c\/c**(6\/5))\/c*c**(-3)))**(-39) assuming c is positive.\nAnswer: c**(-9717\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqpqqqqpqqqqqqqpqqpq. Give prob of picking 1 p and 3 q.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 23*c - 457. Determine l(20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 3*b - 5. Suppose 153 = -38*n - 37. Calculate v(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47\/27 - 571\/297. What is the nearest to -1 in 2\/15, -5\/2, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.25 - -0.15. Let q = 0.6 + l. Let t = 119\/6 + -2035\/102. Sort q, 1\/3, t.\nAnswer: t, 1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j = 64*j - 4136. Solve -2*z + 94 - j = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 5*r - 144, 3*r = -3*n + 115 + 35. Suppose -29 + n = 3*z. Sort 2, z, -2 in descending order.\nAnswer: z, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 3)*(-2*n**3 + 0*n**3 - 5*n**3) + 3*n**3 - 15*n + 15*n - 14*n**2 - 2*n**3 + 14*n**2 as m + s*n**3 + g*n**2 + q*n and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1373649714 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 4*f + 98848, 152 = f + 145. What is the greatest common divisor of p and 162?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5210296ml to litres.\nAnswer: 0.0005210296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -96 + 357*s**2 + 96*s + 80 + 204*s**3 - 41*s**2.\nAnswer: 4*(s + 1)*(3*s + 2)*(17*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 4*i + 20, 0 = 2*v - 2*i - 9 - 15 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 3*s + c, 5*s + 12 + 18 = -c for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 25667?\nAnswer: 10\/25667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1481 or 1?\nAnswer: -2\/1481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14 and 5284864.04435.\nAnswer: 5284850.04435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 24*m - 153. Let f(o) = -8*o + 51. Let n(s) = 6*d(s) + 17*f(s). Does 15 divide n(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.04 and -0.0693.\nAnswer: -0.0293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.569989 to 2 dps.\nAnswer: -6.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 6. Let p be (-20)\/110 - 422\/(-22). Suppose p*h - 18*h = 0. Solve h = -d - j - 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**2 - 1. Let p be v(1). Let q be p\/(-8)*1*4. Let s(h) = 2 - 2*h**q + 3 - 5. Let t(l) = 10*l**2. What is s(t(c))?\nAnswer: -200*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*i*t**3 + 348838*i - 6184043*t**3 wrt i?\nAnswer: 14*t**3 + 348838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (964\/(-1928))\/(1\/(-58))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13746, 54934, 123560, 219612, 343078, 493946, 672204?\n\"Answer: -2*k**3 + 13731*k**2 + 9*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c7 + -11c?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 1168708 and -39 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 5*v**2 + 51723*v - 310308. Calculate p(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlcclddlldl. What is prob of picking 2 d?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-270))\/(6\/(450\/(-5))).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by 8036?\nAnswer: 51\/8036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**2 + u + 1. Let l be b(-1). Suppose q = 5*q - l*x - 1024, 0 = -2*x + 2. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.263 + 0.063. Is -103 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64898 greater than or equal to 64897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 1 + 6\/(-3). Let c be (x - (-1)\/(-1))*-4. Solve 0*p - c = -q - 2*p, -q + 3*p = 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times -8.1?\nAnswer: 4.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, -2, -3234, 2, -0.1, -4?\nAnswer: -3234","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 + 49. Suppose -3*o - 12 = -4*o - p*g, -2*o + 29 = 5*g. List the prime factors of o\/(-4) + (-820)\/(-8).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - q**3 - 2)*(-4 + 2 + 3)*(1 + 0 + 3)*(1 + 4 - 6).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 230 * 63.4\nAnswer: 14582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -725 + 436?\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/5334 and 71\/930.\nAnswer: 826770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8779*c**5*n + 683*c**4*n + 4*c**2*n - 2132*c**2 - 13*n wrt c.\nAnswer: 526740*c**2*n + 16392*c*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16288626 - -8665526. What is g rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -374496, -749038, -1123570, -1498086, -1872580, -2247046, -2621478, -2995870?\n\"Answer: a**3 - a**2 - 374546*a + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -1858601 = -1858588?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 7:26 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 126\/(-14) + 15*1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 2. Let l be (1\/(-5))\/(c - 4). What is the biggest value in 5, l, -1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 6*f + 5. Let m be w(-6). Suppose m*c + 4*c = 972. Let l = -70 + c. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**6\/45 - 5*l**4\/8 + l**3 - 3. Let z(k) be the third derivative of w(k). Differentiate z(x) wrt x.\nAnswer: 16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 14. Let l = 0 + -4. Let b(n) = -n - 15. Let f(m) = l*b(m) - 3*d(m). Is f(0) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3220\/(-4))\/(-5) + 5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzizzzziziizz. Give prob of sequence zii.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 34*t**2 - 28*t + 4. Suppose 0 = 12*w + 12*w + 120. What are the prime factors of i(w)?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1127*n + 173 + 1446*n - 89 - 84 as q + a*n and give a.\nAnswer: 2573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**5\/60 + j**4\/2 - 5*j**3\/6 + 2*j**2. Let g be f(12). Sort -7, g, -3 in descending order.\nAnswer: -3, g, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3924 or -3931?\nAnswer: -3924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2471 at most as big as 2470?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -24. Is l bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**4 + p**5 - 2*p**4 + 0*p**4 + 2*p**5 - p**5 + 2*p**5 + (p**3 + 2*p**3 - p**3)*(p**2 - p**2 + p**2).\nAnswer: 6*p**5 + p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/5, 1\/7, -2\/9, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 0 - -3 - (-2 + -1171). Let b be 2\/3 + x\/(-33). Are b and -35 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wpppqwwpwq. What is prob of picking 1 p, 2 q, and 1 w?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02585 + -0.07415. Which is the closest to 1? (a) 1\/144 (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -6. Suppose 0 = 16*g - 14*g - q. Suppose p = g - 0. Solve -r = p*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6047.44 litres?\nAnswer: 6047440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 4, 0.9, 1?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48878 is divided by 627.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3023, -3761, -4517, -5291?\nAnswer: -6083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**4\/24 + 3*m**2. Let r(p) = -2*p. Let u = 6 - 3. Let a(t) = t. Let c(q) = u*r(q) + 10*a(q). Determine k(c(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22118 is divided by 10996?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/6 + 14\/2. Suppose -k + 0*h = -u*h - 5, 4*h - 15 = -3*k. Which is the biggest value? (a) 0.1 (b) k (c) -2\/5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.453 plus 0.12?\nAnswer: -1.333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 + 22*i - 33. Calculate d(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 5. Let p be (-1 - 2)\/((-12)\/8). Let t be (p - 3)\/((-1)\/5). Let k be g(t). Solve n = 2*r - 6, k*r + 2*r = 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.4 and -0.335.\nAnswer: -5.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + -2 + 2 + 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**3 + 3*k**2 + 3*k - 1. Let m(v) = -2*v**3 - 4*v**2 - 2*v + 2. Let x(y) = 3*g(y) + 4*m(y). Let q be x(4). Let s = q + 70. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -7933*n + 95212. Calculate i(12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/1047942 and 65\/199608.\nAnswer: 4191768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 90) + -12 + (-302 - -280)?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3 + -20 + 20\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**3 + 798964*b**2 + 15980480*b + 79904400 = 0. Calculate b.\nAnswer: -10, 199761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -820824564*h**3 - 605581707*h wrt h.\nAnswer: -4924947384*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004218871 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 - 1562595*k**2 - 203477605041*k - 610418751849.\nAnswer: -3*(k + 3)*(k + 260431)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3140, 4132, 5098, 6026, 6904, 7720?\nAnswer: 8462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p**2 - 2*p - 4. Let u(x) = -9*x**2 - 5*x - 10. Let h(z) = -5*l(z) + 2*u(z). Let v(g) = -5 - 5*g + 5. Give h(v(o)).\nAnswer: 50*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + ((sqrt(72) + -2)*-1 - sqrt(72)))**2 + 2 + -1*(sqrt(72) + -1)**2)*-5 + -3.\nAnswer: -1093 - 180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 4*s + 5*p + 8, -3*p + 17 = 4*s. Suppose -8*j = -4*j - 20. Solve 5*w + d + j = 0, 3*w = 5*d - 29 - s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*a + 11*a - 2*a**3 + 5*a.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0030963295 rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2375336365?\nAnswer: 5, 197, 1031, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -v - 2*b + 28, 4*b = 2*v - 92. Suppose 21*a - a = -v. Which is greater: 9 or a?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 8. Let q be 814\/(-6) - r\/(-3). Calculate the smallest common multiple of 16 and q\/10*5\/(-2).\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 99021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 + 49. Suppose 0 = 2*a - 2*m - 4800008, 0 = -z*m - 8 - 0. What is a rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -4 (c) 2077 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1, 44, 115, 214, 341, 496, 679?\n\"Answer: 14*i**2 + i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/11)*p**5*p)**1 assuming p is positive.\nAnswer: p**(75\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-8*8\/(-320))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = p - 80, -5*p + 5 + 20 = 0. Suppose 4*s - 3*r - m = 0, 2 - 12 = s + 5*r. Suppose -17 = -4*d + s. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00029344412 to five dps.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170437887, -170437888, -170437889?\nAnswer: -170437890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-1*(sqrt(10) - (3*sqrt(10)*3 - sqrt(10)))\/(sqrt(320)\/sqrt(4) + sqrt(5)).\nAnswer: -28*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.73515 minutes in microseconds?\nAnswer: 4964109000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2916 and 27?\nAnswer: 2916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 180 - 179.8. What is the biggest value in d, 0.684, 0.4?\nAnswer: 0.684","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 4*s**2 + 5*s + 2. Let j be v(5). Let z(c) = -6*c + 0*c**2 - j*c + c**2 + 10. What are the prime factors of z(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38057?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35951\/6 + -12406\/3. Let o = -1812 + v. Which is smaller: 45 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/((-143)\/13))\/(((-9)\/294)\/(12\/(-14))).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s + s + 6*s - 3*s to u*s + c and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 6) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, z: 6, b: 1, g: 2, k: 3}. What is prob of picking 1 b and 1 w?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k - 30. Suppose 3*b = 6*v + 84, 63*b = 61*b - 2*v + 62. What is the greatest common divisor of b and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g + 4*g + 488 - 561 = w, 0 = -2*w + 7*w - 4*g + 365 for w.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4*h**2 + 572180664*h + 20461919515967556 = 0?\nAnswer: -71522583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120 by -73748.\nAnswer: -30\/18437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/(-49)*(-784)\/504.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.46 times -0.28?\nAnswer: -0.1288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -18 + 5 - (-15 - (-1 + -1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {w: 2, l: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01988 + -2.674.\nAnswer: -2.65412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 4\/5 (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3*2\/15)\/(856\/(-1605))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*v - 646881 = -640147 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l**2 - 451*l + 6772. Give g(14).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 + 1. Suppose -12*c + 14*c + 58 = 0. Let j = 30 + c. Determine l(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - b - 2 = 2*b, b = -5*g + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/3 and -8\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 8*s - 5*p + 0*p = 3*s + 89, 0 = s - 8*p - 32 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-54) + (-4380)\/540.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59530 is divided by 147?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y**3 - 3*y**3 + 2*y**3)*(1 + 0 - 2) - y**3 - 2 + 2 + (-6*y + y**3 + 6*y)*(0 - 1 - 2) as v + k*y**3 + t*y**2 + n*y and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwuwuuuuw. What is prob of picking 4 w?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 4:04 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 47618 + -367614\nAnswer: -319996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19407091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -11. Suppose s - k*u = -23, -3*s - 4 = -3*u + u. Suppose -5 = j - 3*l, 3*l - 21 = -j - s*j. Solve -j*z = -5*z - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/4)\/(3\/((-45)\/(-50)))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0*l = -4*l - 6580, 2*a = -5*l + 3304. Let q = a + -963. Suppose 0 = s, -4*f + 3*s = -q + 52. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - 5*c + 5*c)*(8*c**2 - 16*c**2 + 51*c**2).\nAnswer: -43*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 6a5a92c?\nAnswer: 6a5a929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 50 = -2*d, d - h = 3*h - 15. Let o be (-2)\/(-7) + 10\/d. Suppose -8*g + 3*g + 5 = o. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7 - 3133637.\nAnswer: -3133637.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 55 + (-1)\/(-4)*-4. Which is smaller: q or 57?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7658 + 7723. What is the remainder when n is divided by (29\/(-2))\/((-1)\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6898*u**2 + 21*u - 1868. Let m(w) = 3*w**2 - 3*w. Let j(d) = b(d) + 7*m(d). What is the first derivative of j(a) wrt a?\nAnswer: -13754*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 7*n. Let h(v) = 5*v. Let c(b) = -7*h(b) + 6*w(b). Determine c(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01178*-25.7.\nAnswer: 0.302746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/13)*r*r)\/(r**(4\/13)\/r)*r\/((r\/(r\/(r**(-1\/5)\/r*r*r)))\/r)*r**6*r assuming r is positive.\nAnswer: r**(713\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1639 + 573. Calculate the greatest common divisor of r and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 164040597?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/6 - 1\/2. Let x = -22 - -17. Let v = 18.3 - 18. Which is the smallest value? (a) m (b) x (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/45 + -51*4\/30. Sort -3, d, 6, 2 in descending order.\nAnswer: 6, 2, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + (-6*(sqrt(7) + 0)*3 + -4 + (sqrt(7) - (sqrt(21)\/sqrt(3) + 4)) + sqrt(7))**2).\nAnswer: 816*sqrt(7) + 6267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 4. What is the greatest common factor of 14 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-42)\/(-12)*60\/35. Calculate the least common multiple of 25 and -15*4\/c*72\/(-16).\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 378 and 14406?\nAnswer: 129654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/60 and 47\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 + 114 = -2*k. Find the second derivative of -116*y**2 - 45*y**2 + 4*y**2 - 7*y + 28*y - 1 - 38*y**2 + y**k wrt y.\nAnswer: 12*y**2 - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/2))\/u**(-3\/7))\/((u**1*u)\/(u*u**1*u)) assuming u is positive.\nAnswer: u**(41\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1802*m - 643 - 1809*m + 3610*m + 1827 in the form b*m + u and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 26*w - 14*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66203.\nAnswer: 239, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 7*t = 4*t, 3*t = -4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/447 and -137\/1992.\nAnswer: 296808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4938, -20002, -45190, -80502?\n\"Answer: -5062*g**2 + 122*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 24825?\nAnswer: 99300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 8*v**2 - 10*v + 11. Let n be p(9). Suppose 247 = 4*d - 5*j, 3*d - 191 = -0*j - n*j. Does 21 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19291895 is divided by 545.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - -4 - (-1 + -28)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79773 (base 11) in base 14?\nAnswer: 300a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.2 + -6.2. What is the third smallest value in o, 2\/11, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 1 = -5*g. Let u(r) = -r + 1. Let j(m) = -6*m + 0*m + 5 + 1. Determine g*j(n) - 16*u(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 272 divided by -4?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 672725 = -3866757. Let g = q + -2861952. Let h = g - -787936. What is h rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196) + 2*(sqrt(196) + sqrt(196)*-1) - (sqrt(196) - -1*sqrt(196)*5))\/(-3*(3*(sqrt(7) + -3*sqrt(7) + sqrt(7)) + sqrt(7))).\nAnswer: -5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-2 + -23 + 10 + 11)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4977*d**2*g**2*l**2 - 2*d**2*g**2 + 2*d*g**2*l**2 - 5*d*g**2 + 23*g**2*l - 5*l**2 wrt d.\nAnswer: -9954*g**2*l**2 - 4*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30345*x**5 + 31*x - 773 wrt x?\nAnswer: -606900*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8259, -15439, -22617, -29793, -36967, -44139?\n\"Answer: j**2 - 7183*j - 1077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**6\/315 + a**5\/210 - a**4\/126 - a**3\/63 - 6*a + 17. Let j(d) be the first derivative of o(d). Factor j(b).\nAnswer: 2*b*(b - 1)*(b + 1)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1836, 4024, 6856, 10656, 15748, 22456?\n\"Answer: 54*a**3 - 2*a**2 + 1816*a - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r - 7. Let d be f(-11). Suppose -3*k = 3*o - 15, o - d*o = -k - 15. What is the remainder when 14 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 11*s - 14. What is q(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 4035 and 4033 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 2*sqrt(19)*-3 + sqrt(19) + sqrt(19))**2 - (((sqrt(19)*4)**2 - sqrt(19)) + 0).\nAnswer: -133 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -7364\nAnswer: -9\/3682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 468 + -467.9787. What is m rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 5*(-1 + sqrt(2)) + sqrt(8)\/sqrt(4) + -5 - sqrt(32)*-2)**2.\nAnswer: -300*sqrt(2) + 550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and (-14)\/(-5) + (-8)\/10.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = v. Suppose v = -5*z + 69 + 56. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6492, 22440, 47832, 82662, 126924, 180612, 243720?\nAnswer: 316242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**4\/10 - 4*u**3\/15 - 4*u**2\/5 + 4*u. Let z(x) = 0. What is x?\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiii. Give prob of picking 2 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 8*h. Suppose -8*a = 26 + 30. What is m(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4, -1\/3, 0, 17 in descending order.\nAnswer: 17, 0, -1\/3, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + (1*sqrt(300))**2).\nAnswer: -608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 339982751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 58 + -23 - (-1 + -1). Is 372 + v + 0*1\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524 a factor of 356958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(567)*1)*-2)\/((sqrt(90) - (sqrt(90) + -5*2*sqrt(90) + sqrt(90)))\/(sqrt(50)\/sqrt(5)*2)).\nAnswer: -4*sqrt(2)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -63\/8, 0.4, 3, 0.3, 20, -4 in increasing order.\nAnswer: -63\/8, -4, -2, 0.3, 0.4, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 3*g**2 - 14 - g**3 + 5*g - 7 as z*g**3 + v*g + f + k*g**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*r - 29*r + 518 = 0 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 2) + 0 + -9 + 8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -16 - 16. Solve -5*t - 19 = -c*i + 21, 3*t = 3*i - 27 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -54*m**2 - 8*m + 3. Let c(h) = 161*h**2 + 22*h - 10. Give -4*c(p) - 11*r(p).\nAnswer: -50*p**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + 13. Let d be (-4)\/(-6)*w\/(-40). What is the third smallest value in 0.09, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 839 is divided by (-104)\/130 - (-79)\/5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in minutes?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -29*v**4\/6 + v**3\/3 - 5525*v**2. Let t(q) = 26*q. Calculate o(t(m)).\nAnswer: -3016*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 704 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 365.1295 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 853 = 71. Let u = -204 - i. Let o = 5 - -5. What is the lowest common multiple of u and o?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.476 and -4301.\nAnswer: -2047.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3431308 to the power of 1\/2, to the nearest integer?\nAnswer: 1852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/10 + 0\/(9 - 18). What is the smallest value in -18, l, -0.1?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 851597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.39*502562.\nAnswer: -195999.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*r - r + 0*r)*(-9 + 2 + 1) + 2*r - r + r)*(-2 + 3 + 2)*(-3*r + 3*r + 3*r) + r**2 + 4*r**2 + 0*r**2.\nAnswer: -31*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/7455126 and -55\/1251.\nAnswer: 22365378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10333038*j - 11151166?\nAnswer: -10333038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 2*k**7\/35 + k**6\/40 - 56*k**2 + 123. Let b(l) be the second derivative of j(l). Determine v so that b(v) = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13205999*i + 2081601*i + 618636*i.\nAnswer: 15906236*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -120111112 (base 3) to base 2\nAnswer: -10110000100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43.51 + 44. Let q = r - 0.49000229. What is q rounded to 7 dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/20)\/(1044\/(-5800)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/75*-20*(-1)\/((-168)\/(-18)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41663467 to the power of 1\/2, to the nearest integer?\nAnswer: 6455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -827, 12 in increasing order.\nAnswer: -827, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9483, -9574, -9729, -9954, -10255, -10638, -11109, -11674?\nAnswer: -12339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, y: 3, b: 6, c: 2, m: 1}. What is prob of picking 1 b and 2 x?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14788838 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -522777 (base 8) in base 15?\nAnswer: -36662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {a: 1, v: 9, q: 3, e: 5}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -76 - (-46 + 78 - 4)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/29, 2, 8, -1\/2, 10\/7 in descending order.\nAnswer: 8, 2, 10\/7, 4\/29, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 430\/1297 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72 - -35. Let y = h - -41. Let o(k) = k**3 - 10*k**2 - 10*k - 6. Let w be o(11). Solve -7*s + 2*s - 5*z - w = 0, 3*s - y*z - 11 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -13 + -19 + (0 - 6) - -6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8203 = 1280*c + 85*c + 121*c + 46839 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) -0.2 (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s - 3. Let t(p) = 9*p - 7. Let h(q) = -7*r(q) + 3*t(q). Let k(l) = -l**2 + 3*l**2 + 2*l**2. Give k(h(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93879 and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y + 2. Let d be a(1). Suppose 9*s**2 - 14*s**2 + d*s**2 - 1 = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(1573) + -1)*-6)**2.\nAnswer: -792*sqrt(13) + 56666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3*w + 33, 0 = 5*v - 3*w - 196 - 41. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*r = -10. Suppose -4*x + 45 = -3*u, -5*u + 4*u - 70 = -r*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19389 is divided by 6458?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 2*h - 7, 2*h = -4*s + 8 + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-42)\/(-8) + -7 - (-1)\/(-4). Let h(x) = x**2 + 2*x + 1. Calculate h(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*r**2*v + 3*r**2 + 25*r + 3144*v + 1 with respect to r.\nAnswer: 52*r*v + 6*r + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.886015 and -0.2.\nAnswer: 0.177203","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -4\/7, 0, 0.078 in decreasing order.\nAnswer: 4, 0.078, 0, -4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - w - 2*w)*(72 - 72 + 13*w**2) + (-2*w**2 + 0*w + 0*w)*(3*w + 2 - 2).\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-27)\/21 + (-4)\/(-14). Let x be 2\/(-2) + w + 7. Let p(d) = d**2 + 10*d + 20. Let b be p(-7). Sort -5, b, x in descending order.\nAnswer: x, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7014 greater than 189896?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85604.\nAnswer: 2, 21401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 19, 10, 11, 28, 67?\n\"Answer: d**3 - d**2 - 13*d + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k**2 - 17*k + 42. Determine w(7).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 1241.\nAnswer: 3723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (9 + -2 + (57 - 163 - 55)) - 5\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1011199\/11023480 + 54\/9503. What is the common denominator of p and 63\/25?\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.23, -22337, -0.5.\nAnswer: -22337, -0.5, 0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12362?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 r when two letters picked without replacement from {r: 4, z: 4, g: 2, a: 9}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*j**4 - 139460*j**3 - 1887570*j**2 - 8501355*j - 12757500.\nAnswer: 5*(j - 3500)*(2*j + 9)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -6*v**2 + 11*v. Let t(p) = -p**2 + 2*p. Let l(x) = 2*f(x) - 11*t(x). Let q(y) = -13*y. Determine l(q(a)).\nAnswer: -169*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78*y**2 - 38*y**2 - 16*y**2)*(-y**2 - y + y).\nAnswer: 132*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 433252.7 micrometers?\nAnswer: 433.2527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5440536*197\nAnswer: 1071785592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3640.719 and -1.\nAnswer: -3640.719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-2)*(-75 - -1 - 0).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 178, 741, 1684, 3007, 4710, 6793, 9256?\nAnswer: 12099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/2))**(-3)*(f**5*f)\/(f*f**9) assuming f is positive.\nAnswer: f**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.285144136 to three dps.\nAnswer: -0.285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 1 + 1 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/208)\/((-252)\/728).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + x - 1. Let l be ((-15)\/(-10))\/(3\/(-2)). Let j(s) = -10*s**2 + 10*s - 8. What is l*j(f) + 8*c(f)?\nAnswer: 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 6 = 3*u, 4*x - 3*u - 32776 = 0. Suppose 3*h - 9469 = -4*c + 6904, -3*h = 2*c - x. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-42)\/40 + 4\/2. Let b = -1\/5 + m. Let r = -0.1 - 0.9. What is the third biggest value in r, 2, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 14, 5, 2.\nAnswer: -5, 2, 3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12986123*u**3 + 12824067*u?\nAnswer: 77916738*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -188 and -144512.5?\nAnswer: 27168350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 381129 and 5775?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*h**5 - 9970*h**4 - 42970*h**3 + 1182000*h**2 + 9885005*h + 2137850 = 0 for h.\nAnswer: -115\/7, -13, -2\/9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + 4*2*sqrt(95) + sqrt(95) - sqrt(95))\/sqrt(5).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1168915551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4320\/(-640)*((-6)\/4)\/((-3)\/(-8))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0664 + 0.0664. Which is the second smallest value? (a) -0.4 (b) -2 (c) m (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 5*i - 32, 2*i = -2*w - 2*i - 8. Put 1, -0.5, w in decreasing order.\nAnswer: w, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/9*6\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43933531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*l - 1426787 = 42*l - 155862. List the prime factors of l.\nAnswer: 29, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*q + 6145502 + 263433. Suppose 4*y + 194199 = k + 2166204, -k = y - q. What is y rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 171 = i - 299, 0 = 3*i - 3*y - 1428. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**4 + 17230*q**3 + 2283000*q**2 + 81647890*q + 465590125 = 0. Calculate q.\nAnswer: -61, -7, 3575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07131 + 9.92869. Which is the third smallest value? (a) -3 (b) -2 (c) g (d) 5 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - o - 3*o + 3*o - 2*o - 2 - 2*o + 2 + 3*o - 2*o + 0*o + (-3 - 3 + 4)*(-3 + 3 + o) - o + 0*o + 0*o)*(0 - 5 + 3) + 6*o - 4*o - o.\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -609*i = 296*i + 2704*i + 205588 + 83132 for i.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -x**5\/120 - x**3\/6 - x. Let r(c) be the second derivative of f(c). Let d(k) = -18 + 3*k + 18. What is r(d(m))?\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 866828.\nAnswer: 3\/866828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 0 + -3 + 3. Suppose w*y + 5*y - 20 = 0. Is -1 + y\/((-8)\/(-78)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 673, 677, 683, 691, 701?\n\"Answer: o**2 + o + 671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) -0.3 (c) 1\/15 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.042 + 0.042. Let n be (-170)\/(-55)*2 + (-42)\/7. Put n, k, 1\/5, 3 in descending order.\nAnswer: 3, 1\/5, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2604e3 + -1?\nAnswer: 2604e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -82220 divided by -4\nAnswer: 20555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00560168348 to 5 dps.\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/135)\/(-13)*475\/380?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13501899403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -5, -7, 4, 0, 1 in decreasing order.\nAnswer: 4, 1, 0, -5, -7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 7:45 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (1 + ((-60)\/(-28) - 1)). Which is the second biggest value? (a) r (b) -0.2 (c) -6 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5 + 14*x**5 - 17*x**4 + 37*x**4 - 16*x**4 = 0. Calculate x.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*r - 82997 = -23327. Is r a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3187.\nAnswer: 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (104\/16)\/(14\/(-28))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 144*p**2. Let c(j) = 5*j + 2. Let q(y) = -43*y - 10. Let k(d) = -5*c(d) - q(d). Calculate k(l(h)).\nAnswer: 2592*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*f - 78*f = 81344. Is 62 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**3*p**4 + 2*i**3*p**2 - 169*i**3 + 2*i*p**3 - 2*i*p**2 + 4*i*p + 6*p**4 + 19*p**3 wrt p?\nAnswer: 48*i**3*p + 12*i + 144*p + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2950\/230049 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -29 + 27 + 10*b**2 - 8*b + 15 - b**3. What is the remainder when l(9) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 246294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 1682688.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 10*x + 1000 = 0. Suppose -516*z + x = -515*z. Calculate the remainder when z is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*b - 69*b + 2 - 146*b + 13*b in the form r + v*b and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/51))**(-2\/3)\/(o**(5\/2)*o*o**11))**2 assuming o is positive.\nAnswer: o**(-4429\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8160 = 27*k + 7*k. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14599*v + 6148.\nAnswer: -14599","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 974, 985, 996, 1001, 994, 969, 920, 841?\nAnswer: 726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 8*t**3 + 2*t**2 + 2. Let h(w) = 33*w**3 + 9*w**2 + 9. Give -9*b(z) + 2*h(z).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 7*s**2. Let o(g) = g**2 - 8*g + 17. Let w be o(5). Let h be 1\/(-2)*(-6)\/1. Let q(j) = h*j - 12*j**w + 11*j**2 - 3*j. What is l(q(d))?\nAnswer: 7*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -4750505.\nAnswer: -2\/4750505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-2 + 28) + 1. Let d be 0\/(5*(-10)\/l). Solve d = 2*b + 2 - 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*y - 16852 = 0, 10*s - 12*s + y - 8426 = 0. Let z = 6893 + s. What is z rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3312 and 936.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/27*216\/(-48))\/(4\/((-256)\/56)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 407 + -405. Let w = -7 - -6.3. Let k = w + 0.2. Which is the closest to -0.2? (a) 1\/11 (b) k (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j = -81 - 939. What is the remainder when 226 is divided by j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -167 + 169. Solve -5*m = -k - 13, q = 3*k - m - 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of a**4\/4 - 5*a**3\/3 + 2*a**2 - 10*a - 14. Let c be l(5). What is the units digit of 6\/15 - (-2396)\/c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.14 and -702.\nAnswer: 98.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15576 and 8708?\nAnswer: 33908952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) -5 (c) -0.6 (d) 3\/11 (e) 1 (f) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 3:53 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (11 - (-30)\/(-6)) + -1*3. Suppose 0 = -5*x - n*y + 120, x - 2*x + 24 = -2*y. What is the units digit of ((-67)\/2)\/((-100)\/x - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 12:00 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -408.26 + 395. Let d = 13 + s. Let w = 0.06 + d. Which is the closest to w? (a) -3\/2 (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4122354411 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*l**3 - 4819 + 4819.\nAnswer: 39*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 176?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - 6. Let b be 4*(0 + (1 - 2)). Let u(y) = -116 + 9*y + 121 - 8*y. Give b*u(x) - 3*m(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -147*r**3 - 1 + 368*r**2 - 368*r**2 to v*r + d*r**2 + o + j*r**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 6:37 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10296146 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -5*t + 9. Let i = t + -7. Let w(k) = 9*k - 7. Let c(y) = 8*y - 6. Let p(v) = -5*c(v) + 4*w(v). Let s(x) = 3*x - 1. Determine i*s(g) + 2*p(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 5*l**2 - 7*l - 7. Let p be q(-4). Suppose 22126 = -z + 5*z - 2*h, z + p*h = 5559. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3006147, 3006177, 3006207, 3006237, 3006267, 3006297?\n\"Answer: 30*m + 3006117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 198 divided by 11?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j + 5. Let d be f(0). Suppose -d = c - 2*n, n + 0 = 3. Solve 0 = -3*o + 5 + c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 11*f**2 - f - 5. Let p be u(9). Factor p + 4*r - 148 - 8*r**3 + 4*r**5.\nAnswer: 4*r*(r - 1)**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -186862 or -186851?\nAnswer: -186851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1953 - 39 = -6*q. Calculate the remainder when q is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 - -0.3. Let z = -2 - -2. Let p = 0 - z. Is d < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 58629, 1\/4, -4, 0.2, -5 in increasing order.\nAnswer: -5, -4, 0.03, 0.2, 1\/4, 58629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 775, 2805, 6205, 10975, 17115, 24625?\n\"Answer: 685*r**2 - 25*r + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 1:25 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 40\/168 + 3\/7. Let a = -18 + 30. Suppose 4 = j, -4*j + a = 2*k - j. Which is bigger: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 741 and 1438240245.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 57 = 49 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**3\/3 + 213055*y**2\/3 + 2269302035*y\/3 - 2269941245 = 0. Calculate y.\nAnswer: -21307, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67707?\nAnswer: 3, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17696\/126205 - 2\/2935. Is 1 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*y - i - 14, 2*i + 18 = 5*y. Let g = -1 - y. Let u = g - -13. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - w + 1. Let r(t) = 45*t**2 + 9*t - 9. Let c(o) = -18*l(o) - 2*r(o). Let p(i) = -i. What is p(c(v))?\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 168*c - 1398. What is x(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3522106, -3522098, -3522086, -3522070, -3522050?\n\"Answer: 2*j**2 + 2*j - 3522110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b + 89 = 121 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m = 5. Suppose -4*w - m*i + 2*i + 12 = 0, -2*w = -i + 4. Suppose -4*d = -9*r + 4*r + 80, d = w. Is r a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1058 and 1587.\nAnswer: 3174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/15, -236, 0.1, -0.2, -3\/8?\nAnswer: -236","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(84)*-5)\/(sqrt(1200)*1 + sqrt(1200) - sqrt(1200)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343121 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6439889.\nAnswer: 17, 378817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*2)\/sqrt(6))\/(-4*sqrt(32) - sqrt(8)) + sqrt(27)\/(4*sqrt(225))*3.\nAnswer: -13*sqrt(3)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109718 - 8498 = 3028*d - 124 for d.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*r**5 - 6*r**4 - r**2 + 67*r?\nAnswer: 360*r**2 - 144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3527 - -3538. Suppose 16 = w - 2*i, w - 4*i - 38 = -12. What is the smallest common multiple of f and w?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 184 and 1120.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*s - 1537 = 4*k, 0 = -k + 2*s - 523. What is k rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 10 = 6*r. Suppose -10 = 2*a - r, a - 425 = -3*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1791\nAnswer: -5\/1791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -u - 36. Let b = 34 - 31. What is the lowest common multiple of u and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + 6*-2*sqrt(45))\/sqrt(9).\nAnswer: -11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396509 is divided by 1218.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5134+0.2\nAnswer: 5134.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -55? (a) -1282 (b) -3\/2 (c) 3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from {j: 1, h: 3, k: 7, u: 1, d: 1}.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -2*p**7\/105 - p**6\/15 + p**5\/15 + p**4\/3 - 37*p**2. Suppose o(r) = 0. Calculate r.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -4*y**5\/21 - 382*y**4\/21 - 3110*y**3\/7 - 43310*y**2\/21 - 9038*y\/3 - 7316\/7 = 0?\nAnswer: -59, -31, -3, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156763 is divided by 103.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/6697 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3192506323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -332656?\nAnswer: -332654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 2.3. Let g = -0.6 + 0.8. Which is the closest to -1? (a) -1 (b) r (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3345866*i**3 + 525019*i.\nAnswer: -20075196*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -5*n**4\/24 + n**3\/2 - 8*n**2 + 4*n. Let c(k) be the first derivative of q(k). Is c(-12) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-23 + 24)\/((-2)\/(-662)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.6 - -104.4. Let k = 262.6 - 146. Let d = z - k. Round d to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -5. Suppose 3*t = n*t + t. Differentiate -11*i - 25 + 50 + t*i wrt i.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 9*r + 2. Let s be m(9). Suppose 3*f - 16 - s = 0. Solve 0 = 3*d - f*d - 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001000 + -11?\nAnswer: -11001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*z - 15*z - s + 288, -2*s = -3*z + 859. Let p = z - 8. What are the prime factors of p?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -36*o + 6. Let d(h) be the third derivative of 35*h**4\/24 - h**3 + 4*h**2. Let y(i) = -3*d(i) - 4*s(i). Is y(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-1 + sqrt(19)*-2 + (sqrt(19) - sqrt(152)\/sqrt(8)*-6) + -1)*-3)**2.\nAnswer: -180*sqrt(19) + 4308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -11. Suppose -z + 1 = 0, -i + 136 = 3*i + n*z. Calculate the remainder when i is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 17. Solve 2*h + a - 9 = w, 2*h - 4*a = -a + 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.2 (b) 5 (c) -53\/200 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2005, 4, -39?\nAnswer: -0.2005","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 17 = -5*y - 0*k, -4*k + 1 = 3*y. Suppose -y*i + 8 + 19 = 0. What is the lowest common multiple of i and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 3:21 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 6316 - (12*(-2)\/3 - -8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + 1. Let v(i) = -u + 60*i - 32*i - 27*i. Calculate v(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 j when three letters picked without replacement from jjoercr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhddrhhrrrhrddd. What is prob of picking 2 h?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22810453 and 10319?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/2 + (-65)\/(-10). Suppose 13 = -5*j - 12. Let x be ((-4)\/j)\/(2\/10). Solve 0 = -x*y + c, -y = -3*h + 4*y - 19 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m - 103. Let u(g) = 18*g**3 - 3*g**2 + 13*g - 11. Let k be u(1). Let i be z(k). Are i and -36 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78751 times 80\nAnswer: -6300080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - -5. What is the highest common divisor of v and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 936656 is divided by 269?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(42\/(-2676))*2\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1118?\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/(-60)*-5*(-8)\/(-32)*18.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/108704 and -41\/40.\nAnswer: 543520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**3\/2 + u**2\/2 - 28*u. Calculate a(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 12*b - 4680. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*sqrt(175).\nAnswer: -3 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/5 + 358*c**2\/5 + 2926*c + 14274\/5.\nAnswer: 2*(c + 1)*(c + 61)*(c + 117)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -1, -101, 34, 2, 0 in descending order.\nAnswer: 34, 2, 0, -1, -2, -5, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110110010001 (base 2) to base 7.\nAnswer: -13061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*x - 190 = 39*x. Let f = x - 2. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*d + 48, x - 4*d - d - 15 = 0. Calculate the lowest common multiple of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/25 of a hour?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 34164, 136662, 307492, 546654, 854148?\n\"Answer: 34166*x**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 7:40 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2909535.313 to the nearest 100.\nAnswer: 2909500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a decade in months?\nAnswer: 1272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2016282 or -2016307?\nAnswer: -2016282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + 0 + sqrt(405) + 2 + sqrt(405) + 1 + -3)**2*-3.\nAnswer: -4863 + 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -235*f**2 - 24*f + 22. Give s(2).\nAnswer: -966","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8641\/1662 + 9\/277. Find the common denominator of 166\/(-12) - -3 - 2 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdtd when four letters picked without replacement from ttdtdddtddtdt?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s**3 - 3*s - 25. Is z(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (510\/504)\/(85\/136)*42\/(-24)?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37351764?\nAnswer: 2, 3, 61, 73, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 1:08 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 - -0.6. Let o(j) = -j**3 - j**2 + 2*j - 1. Let k = 3 + -5. Let c be o(k). What is the closest to c in w, 1\/7, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -563263 + -1?\nAnswer: -563264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 4*r**4 - r**2)*(4 + 2 - 1).\nAnswer: 20*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-22))\/(7 - 6). What is the closest to -1\/5 in 0.4, z, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + sqrt(432) + -3 + 5*-1*sqrt(432))*2)**2.\nAnswer: 1536*sqrt(3) + 110608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 9:17 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000955384482 rounded to 7 decimal places?\nAnswer: -0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-27420)\/(-30) + 7 + -3*1 and 1782.\nAnswer: 30294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -26, -2.\nAnswer: -26, -2, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6516)\/905*(-4)\/16?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-0.0899.\nAnswer: -0.00899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 40 = -5*d - 10, -4*u - d - 58 = 0. Let x be (-3)\/(-12) - u\/4. Suppose 0 = -x*y - 2*j - 2*j, 0 = j + 5. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 16 = j, -4*w + 4*j = -7*w + 12. Suppose 36 = m + 8. Suppose -5*u + m = 4*o + 6, 0 = -2*o + w*u + 24. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-646)\/160 + 4)\/(3 - 238\/85).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q**2 - 2*q - 3. Suppose 3 = -3*d, 16*n + 6 = 18*n + 12*d. What is the smallest common multiple of s(4) and n?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(476\/24)\/17.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.15 greater than -3\/838?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*l + 36*l = -30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from {q: 3, b: 1, a: 2, c: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5580)\/13020 - 6\/(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h - 4. Let l be f(4). Suppose 2*b = 2 + l. What is the remainder when 13 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 37, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + (0 - 90\/35). Which is the fourth smallest value? (a) z (b) -5 (c) 12 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 + 5*g + 10*g + 0*g - g**3 - 11*g**2.\nAnswer: -4*g**3 - 11*g**2 + 15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 1:18 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 264388514 + -177298514. Round r to the nearest 1000000.\nAnswer: 87000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 583*x**3 + 14*x**2 - 16*x. Let n(z) = -194*z**3 - 4*z**2 + 5*z. Calculate 10*n(c) + 3*p(c).\nAnswer: -191*c**3 + 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -45275065, -45275064, -45275063, -45275062, -45275061, -45275060?\n\"Answer: r - 45275066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -504*a**3*o + 316*a**3*t + 17*a**2*t - 16*a*o*t + 2*t with respect to o.\nAnswer: -504*a**3 - 16*a*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -562 = -137*c + 808 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -566 + 566.1. What is the smallest value in 2\/7, q, -3\/5, -1\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwb when three letters picked without replacement from {x: 8, w: 1, b: 1, o: 4, d: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170484 divided by 292621?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(((sqrt(440) - (sqrt(440) + -2*sqrt(440)))\/sqrt(11))\/sqrt(8) + sqrt(15)\/(sqrt(300) + 1*sqrt(300))))**2.\nAnswer: 15129\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 805 + 191. Suppose 8000 + m = 13*s. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*w = -51, w = -k - 2*w + 30. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12218 = -34*s - 71*s - 193*s for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22988837?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4688, -4832, -5228, -6002, -7280, -9188, -11852?\nAnswer: -15398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10633, -21117, -31323, -41113, -50349, -58893, -66607, -73353?\nAnswer: -78993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -194, 2, 5, 4.\nAnswer: -194, -4, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*t + 437*t - 186*t + 558*t + 370*t.\nAnswer: 964*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3220, -6274, -9054, -11428, -13264?\n\"Answer: 22*w**3 + 5*w**2 - 3223*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*s = 20, 4*n + 0*n - 20 = 4*s. Let g(p) = p - 11. Let v be g(15). Let w(i) = i - 13 + n + v. Calculate w(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1195667 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, -0.07, 1186\/117 in ascending order.\nAnswer: -0.08, -0.07, 1186\/117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292033 is divided by 146012.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -8*n + 9. Let i(z) be the third derivative of 17*z**4\/24 - 3*z**3 + 8*z**2. Let y(o) = -3*i(o) - 7*x(o). What is the tens digit of y(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 + -47. Let f = -0.2 + 0. Which is the biggest value? (a) n (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 118, 192, 288, 412, 570, 768, 1012?\nAnswer: 1308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*f**2 - 35*f**2 + 5*f**4 - 5*f**4 + 18*f**6 wrt f?\nAnswer: 2160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799.\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 198.2 + -334. Let z = 1.8 + h. Let w = z - -131.6. Is w greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 147357 - 74937. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1957 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1 + 10 + 2*z - 6.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1280 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 16 = -4*p + 4, 0 = -2*p. Let s be -2 + 0\/(c - 1). Let w(l) = 7*l**2 - 2. What is the tens digit of w(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-6))\/c)\/c*c**(3\/14))**26 assuming c is positive.\nAnswer: c**(949\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/60 and 18.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510782 is divided by 28?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8\/545 - -15964\/11445. Let z = -1823\/930 - 19\/62. Let u = o + z. Which is the nearest to 1\/4? (a) -0.2 (b) u (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -43, -107, -227, -421, -707, -1103, -1627?\nAnswer: -2297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 538\/5*x**3 + 12584\/5*x + 5408\/5 + 2*x**4 + 7704\/5*x**2 = 0. Calculate x.\nAnswer: -26, -1, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*z - 40*z = -2*o + 2, 0 = 5*o - z + 21 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -14. Which is the third biggest value? (a) l (b) -1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56678876 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: What is the greatest common divisor of 71468 and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16745882131\/69 + -242689289. Let x = 13963\/3 - z. What is the common denominator of -37\/10 and x?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 47476 and 8?\nAnswer: 379808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11377 + -11380. Which is the smallest value? (a) 0.1 (b) f (c) -1\/8 (d) -5 (e) -1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4130)\/294 + (-574)\/(-41)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.16 - -3.76. Let j = -1.4 - w. Sort -2\/11, j, -3.\nAnswer: j, -3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17066461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 17*m**3 - 5*m**2 + m + 4*m**2. Let y be l(1). Suppose 36*h**3 + 59*h**4 - y*h**2 - 36*h**2 + 64*h**5 + 101*h**4 + 8*h = 0. Calculate h.\nAnswer: -2, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 18\/(-14))\/((-7)\/(-49)). Solve -v - 1\/2*s**2 - 2*s = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w - 1. Let b be y(3). Suppose 2197 = -b*h - 1523. What is h rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 3267833?\nAnswer: 3267830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 551, 16, -0.5, -312 in decreasing order.\nAnswer: 551, 16, -0.5, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(32) + (1*sqrt(32))**2 - (0 + sqrt(2) + -1) - (sqrt(162) + sqrt(162) + 1 + -1)**2)*6.\nAnswer: -11070 + 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1843963\/795046 - 1193\/521. Let l = y - -140069\/114450. What is the common denominator of 9\/7 and l?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 + 138)\/(5 - 20 - -17)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*((-44)\/(-16))\/11. Suppose 16*v = -0 - g. Let x(d) = -d**2 - d - 15. Determine x(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3458 <= 3456?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 60476051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.4, -1\/2, -15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 10) in base 14?\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*s + 18*u - 16*u, -4*s = -3*u - 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 72, 46, -28, -168, -392?\nAnswer: -718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 - 2*g**3 + 0*g**3)*(7*g**2 + 7*g**2 - 17*g**2) - g**5 + 9*g**2 - 9*g**2.\nAnswer: 14*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23949737 * -0.34.\nAnswer: -8142910.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*q - 58*q + 2*z - 662 = 0, q = -5*z - 349. Let c = q - -338. Solve 4*s - 14 = 5*h - 4*h, -10 = -c*s - h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 + 47. Suppose 0 = 3*h + j - 3469, -8*h + g*h + 3*j = -2320. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16767 and 57063?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92077 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1292d6 (base 14) to base 12\nAnswer: -26a3b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14132 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 6. Let m be g(-7). Let p be (6\/2)\/((-18)\/4). Let f be ((-1)\/(3\/(-6)))\/2. Which is the closest to m? (a) -0.4 (b) p (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/4)\/3*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -5, -2792 in descending order.\nAnswer: 5, 1, -5, -2792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3958 + 4248. What is the greatest common factor of j and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25121188 + 25121188 + 21*q.\nAnswer: 21*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 62\/3 of a year?\nAnswer: 248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 40323547?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*r - 39*r - 111*r - 114*r.\nAnswer: -319*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 3:35 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - (-11 + 3)) + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8.1 in -4, 0.06, -1.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -836860, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 174\/30 - 2\/(-10). Let w be (3\/c)\/(3\/186). Solve -2*o + 2*r = 3*o - w, 0 = 3*o - r - 18 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 7:56 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 124410 + 5?\nAnswer: 124415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -267751\nAnswer: 53550.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16.09 - 2.39. Let w = -27 + v. Let k = w + 13. Which is the smallest value? (a) 3\/2 (b) 2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5943719515 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 24 = 2*f. Let m be (f\/15)\/((-2)\/(-150)). Suppose 4*j + m = 2*l - 16, -2*j + 3 = l. Calculate the remainder when l is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + 3)*(-4)\/7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9441*m = -232316 + 39411 - 344834 - 510212 for m.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzzz. Give prob of picking 2 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 3*m**5\/160 - m**4\/8 + 5*m**3\/16 - 3*m**2\/8 + 22*m + 5. Let x(h) be the first derivative of a(h). Let x(r) = 0. Calculate r.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.02747 (b) 25 (c) -57\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329723*w = -329722*w + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**2 + 2*t**2 + 2*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-4 - -2 - (4 + -7))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**3*u**3 + 223*q**3 + q**2*u**3 - 9*q**2*u**2 + 4*u**3 wrt q.\nAnswer: 12*u**3 + 1338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 2*t - 2. Let a(j) = 3*j**2 + 9*j + 9. Let y(r) = 2*a(r) + 9*n(r). Let v(k) = 6*k. Determine v(y(d)).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q - 988 = 4*x, -q - 5*x = -970. Suppose -2*u = -2934 + q. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(147) + -2)*1.\nAnswer: -4 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from zzuuu.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -136 + 5755?\nAnswer: 561f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 6 + 0 - (-12 - 2 - (-8 - -6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3167, -3142, -3117, -3092?\n\"Answer: 25*l - 3192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 3 (b) -3 (c) 0.4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 139.9 + -130. Let n = -11.9 + k. Sort -0.05, -2\/3, n.\nAnswer: n, -2\/3, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 14 - 6 = 0. Suppose 64 + 26 = j*o. What is the greatest common factor of 45 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 11:11 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4717 + 4714 + 2*d - 14146 + 4715.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)\/c)\/((c\/c**(1\/4))\/c)*(c\/(c*c*c**(-6)*c)*c)\/c**(-6\/5))**(-37) assuming c is positive.\nAnswer: c**(-3293\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66.5 - -66.5. What is the nearest to p in 0.2, 4, -2\/3, -53?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, p: 3}. Give prob of sequence hhhp.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((260\/(-90))\/(-13))\/((-4444)\/396).\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 43\/4 of a millennium?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1739 or 1735?\nAnswer: 1739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5 - 7 = 0. Let z = 7 - v. Solve -h + 12 + 8 = z*u, -5*u + 20 = -h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35252, -70640, -106028?\nAnswer: -141416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3120, -2690, -2264, -1842, -1424, -1010?\n\"Answer: -2*x**2 + 436*x - 3554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 788 + -789. Let d = -18 - -55\/3. Put d, x, -2 in descending order.\nAnswer: d, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-7) + 12360\/(-84). Is c < -148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10962 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 80107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 161 and 5497.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - s - 4*s + (3 - 5 + 4)*(-2*s - 2*s + 5*s))*(4 - 2 - 3).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3330 (base 4) to base 11.\nAnswer: -20a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.19874ns to minutes.\nAnswer: 0.000000000969979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 2*p - 168 = 0. Let i be (-4)\/(-14) - (-30)\/p - -307. Suppose 24*m - 20*m - i = 0. What is the greatest common divisor of m and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 846135.7mm?\nAnswer: 846135700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*h + 1. Suppose 8 = h*p - c, 5*c + 0*c = 0. What is the third derivative of -p*z**2 - 5 + 5 + 2*z**4 wrt z?\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*b - 4*b + 41*b + 8*b to the form x*b + l and give x.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 1537*h**3 - 319*h. Let i(u) be the first derivative of 29*u**4\/4 - 3*u**2 - 2043. Give -6*c(l) + 319*i(l).\nAnswer: 29*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 13. Let d(n) = -24*n + 1. Let y be d(-1). Let j = t + y. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5512846 is divided by 133?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)*r*r**(4\/5))\/(r**(-6)\/(r**6\/r*r))*(r\/r**(-1\/3))**(3\/10)\/(r**(-2\/15)*((r\/(r*r**1))\/r*r)\/r) assuming r is positive.\nAnswer: r**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 1:54 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 18035*a - 4496. What is the tens digit of q(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/12376 and -59\/824432.\nAnswer: 10717616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - k**2 + 2*k - 3. Let x(i) = i + 4. Let j be x(-2). Let u be t(j). Solve v - u*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101.5369 litres in millilitres?\nAnswer: 101536.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2007580471 to the nearest integer?\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43244 is divided by 1360?\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/5*5 - 6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/7 + 46*c**2\/7 + 286*c\/7 + 242\/7.\nAnswer: 2*(c + 1)*(c + 11)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 10*p**3 + 6)*(-63*p - 103*p - 258*p) as d*p**4 + f*p + x*p**2 + v + g*p**3 and give d.\nAnswer: -4240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -920037265398.\nAnswer: -920037265397.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**2 - 4*g - 104. Let a be y(-6). Solve 3*l + 4*d = 28, -2*l - 3*l - 2*d = -a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14 and -0.151.\nAnswer: 13.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o**3 - 9*o**2 + o + 5. Let u be t(6). Calculate the remainder when u\/10 + (-1)\/(-2) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -1. Let n = 2 - a. Solve -4*s = -n - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 i, and 1 j when three letters picked without replacement from iiooiofojiooijioi.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 671650497 to the power of 1\/4, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1\/10 (b) 1\/4 (c) 3\/4 (d) -0.323 (e) 0 (f) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i + 7*i - 38*i - 38*i.\nAnswer: -60*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -11. Let h = -1 + v. List the prime factors of (-2)\/h - (4 + -22).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5100 + -5080. Solve 4*g = -20, -4*g = 8*l - 5*l + h for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 0 - 1\/3*w**3 - 1\/10*w**5 + 0*w**2 + w + 0*w**4. What is the second derivative of j(q) wrt q?\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/62? (a) -324\/7 (b) -5 (c) -0.04 (d) -2\/5 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * -44.6694.\nAnswer: -536.0328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**31\/u*(u*u\/u**(-6\/17))\/u assuming u is positive.\nAnswer: u**(533\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3901*m**2 + m + 2*m - 1075*m**2 - 3*m. Let x(a) = -a. What is x(i(q))?\nAnswer: -2826*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11303201 (base 4) in base 9?\nAnswer: -35548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 908 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -666 divided by 14.\nAnswer: -333\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z + 5*z - 1 - 2. Let l(r) be the third derivative of r**5\/20 - 18463*r**2. What is m(l(i))?\nAnswer: 30*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170 + 105 = -13*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -14 + 4 + 4 + 17 + -25?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1118975, 2237951, 3356927?\nAnswer: 4475903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4.4 (b) 5 (c) -4 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368*u + 7171 = 547 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6*h + 63. Let g be r(10). Which is the second smallest value? (a) g (b) 2 (c) -4 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 131441003?\nAnswer: 131441010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 3*b + b**2)*(0 + 3 - 1)*(35*b + 8*b + 140*b).\nAnswer: 366*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnrr. What is prob of sequence nn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4*c - 30, 4*w = 4*c - 41 + 161. Suppose -7*t = -2*t - w. Solve 2*g = t*g + 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 1:44 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -1940*l - 4944. List the prime factors of j(-8).\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c**2. Let w(m) = -3500*m**2. What is o(w(l))?\nAnswer: 73500000*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 8) to base 16.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + 11. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 40*x + 153. Determine l(35).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 3*g - 5. Let t be 5 - 1 - 18\/2. Let b be k(t). Let h(f) = 5*f - 7. What is the tens digit of h(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 3*u - u)*(12*u + 20 - 20) + (8*u - 8*u + 7*u)*(15*u - 34*u - 16*u).\nAnswer: -233*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -565 + 676. Let c = 137 + p. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**4 + 84713838*c**3 + 254141532*c**2 + 254141538*c + 84713847 = 0 for c.\nAnswer: -1, 28237949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 12:21 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -541 - 529 - 1286*k + 1070 in the form q*k + w and give q.\nAnswer: -1286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -379.17849141 + 384.178491. Let k = y - 5. What is k rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 6*n. Let b(q) = -q**3 - 6*q**2 - 5*q - 6. Let h = -2 + -3. Let m be b(h). Determine z(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 y when two letters picked without replacement from rnrrannarynrar?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*b + 488, 0 = 2*b + 12 - 4. Is f a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*p - 6*p - 20 = 0, -2*j - p - 11 = 0. Let a(v) = -10*v - 79. Let m be a(j). Solve -3*u - l = -0*l + m, 4*u + l + 1 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -4. Let j = 0 + a. Let c = 2 + j. Solve z = -c + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 - 9*i + 15. Is y(6) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x - 4*x + x - 3*x in the form v + r*x and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2880 in 137, -3, 16, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 332 and 3449314?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 347278? (a) 1 (b) 3\/7 (c) -5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1122323 - -11?\nAnswer: -1122312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -34*l**6 - l**5\/30 + 3893*l**3\/6 - 5*l**2 + 615*l. What is the derivative of z(f) wrt f?\nAnswer: -12240*f**2 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 7*q**2 - 11*q - 60. Let t be x(-6). What is the tens digit of -207*(t\/(-18) - 12\/3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - o - 25, 2*u - 4 = 2*o + 6. Suppose 0 = -g + u*t, -5*t = g + g - 30. What is the remainder when g is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a microsecond in nanoseconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1024861, 2049742, 3074623, 4099504?\nAnswer: 5124385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -7*s - 3*i + 1070, 0 = -5*i + 10. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 156 - 153. Sort -5, 5, -13, z in decreasing order.\nAnswer: 5, z, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 154706?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 6. Suppose 7 = q*y + 3. Is y even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6944 + 10613. Let v = h + -1696. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 d when two letters picked without replacement from wdwdwwdw.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5\/7, -12, -6, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 938 a factor of 126816921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 v when three letters picked without replacement from {e: 2, n: 4, v: 6}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 5*w = -14, -2*w + 14 = 20120*x - 20118*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 179 + -102. Let c = m - 21. Let r = -38 + c. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2152*g**3 + 2169*g**3 + 3*g + 2*g - 5*g.\nAnswer: 17*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + (4 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 11 = -n + q, 5*q = 2*n - 37. Suppose 0 = -216*l + 218*l - n. Solve -l*w - 4 = -19 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**5 - 48*x**4 - 84*x**3 + 6*x**2 + 87*x + 42 = 0.\nAnswer: -14, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/(3\/2) - 1316\/(-12) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3005357 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**5 + 7*z**5 + 2*z**5 + (-3*z**2 + 6*z**2 - 2*z**2)*((-4 + 4 + 2*z)*(4*z**2 - 4*z**2 + z**2) + 0*z**2 + 0*z**2 - 3*z**3 + 0*z**3 + 3*z**3 - 5*z**3).\nAnswer: 9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (8528\/240 + -7)\/(-2)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12048 and 8124?\nAnswer: 8156496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3222*u - 19354. Give x(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (2 - -1))*1. Suppose 3*m - k - 35 = 0, 3 = 4*m + 3*k - 48. Calculate the least common multiple of p - 28\/(m\/(-3)) and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5615.6944 to the nearest one hundred.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -129*v - 49. Let g be w(-6). Suppose -4*r = -2*z + r + g, -5*z + 3*r = -1803. Is z a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -636 - -3236\/5. What is the common denominator of (-9)\/((-99)\/(-26)) - 0 and r?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4372, -8748, -13124, -17500?\n\"Answer: -4376*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -215 + 940. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + 4)\/(1 + (-2 - 2)). What is the biggest value in q, -4, 3\/8, 4, 3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-27 - 2)*(-16)\/(-30). Let c = -47\/3 - d. Suppose t - 6*t = 5. Is c greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*v - 82*v + 28*v + 9*v + 19*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -70*s + 130*s - 66*s. Let 0*k - 1\/4*k**2 + s = 0. Calculate k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -j**5\/60 + j**4\/18 - j**3\/18 + 9*j. Factor u(l).\nAnswer: -l*(l - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by ((-70)\/25)\/((-2)\/10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.14, -0.1, 0.49, -7\/4 in decreasing order.\nAnswer: 2, 0.49, 0.14, -0.1, -7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17277 - -9977. What is d rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -332370 divided by 6.\nAnswer: -55395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/19 + 856*o**2\/19 + 13974*o\/19.\nAnswer: 2*o*(o + 17)*(o + 411)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 832 divide 23578048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 2.33 (c) -4 (d) -2\/13 (e) 1 (f) 18\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(7) - sqrt(70)\/((-3*sqrt(10) - sqrt(10) - sqrt(10)) + sqrt(10)) - sqrt(7)) + -5*-3*sqrt(1584).\nAnswer: 184*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11)\/((2\/(-3))\/2). Let a = d - 30. Solve -3*b = 5*k - 1 - 3, -2 = a*b + 2*k for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -948949.186 rounded to the nearest one hundred?\nAnswer: -948900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -3*l - 4*a, -4*l + 5*a = 87 - 13. Let n = 6 + l. Let v = 14 + n. Solve -5*z - v = 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 29*f + 134. Let w be t(-25). Solve 6*a - w = -10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**4 + l + 15. Determine h(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgwbwrgwb. What is prob of sequence rgg?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2241 plus 58?\nAnswer: -2183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.372503 decades in millennia?\nAnswer: 0.05372503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 94157 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 343481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 - 58. Suppose x = r*k - 44, 3*k + 4*x - 80 = 2*x. Suppose -16*v - k = -10*v. Let s(m) = -m - 2. Calculate s(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1411 is divided by 27.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 10:18 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 168124 plus 1619523?\nAnswer: 1787647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 54\/17 (b) 2\/13 (c) 0.1 (d) -1\/6 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 not equal to 1\/210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 798 = -6*a + 2094. Let s = a - 107. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4116)\/(-49)*(12\/((-8)\/4))\/(-2). Let t(d) = 15*d + 3. Let b be t(4). Calculate the highest common divisor of r and b.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3533112 divided by -53532?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -36. Suppose -2*k = 2*g - 12, 3*g - 4*k - 16 = h*g. What is the units digit of 138\/g*(-4)\/8*-8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1340067 and 7437.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22612939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 13*n + 35 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.19 - -5.19. Which is the third smallest value? (a) t (b) 0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -283? (a) -3.8 (b) -4\/5 (c) 1\/2 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - 6 - (0 - 4). Suppose d = -a - 3*s + 19, s + 73 = 4*a - 42. Let m = a + 28. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1832, -1799, -1710, -1535, -1244, -807?\n\"Answer: 5*x**3 - 2*x**2 + 4*x - 1839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 5 - ((-19 - 135) + 13 + 6 + -2)\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1556.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((((q**0\/q)\/q)\/q)\/q)*q**(-2\/19))\/((q\/q**16)\/(q**(15\/4)\/q)) assuming q is positive.\nAnswer: q**(1721\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 40\/7 - (-4)\/14. Solve 2*q + 2*f = 0, -2*q - 6 - u = -4*f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*n = 8. Differentiate 6 + 0 - 4 + 4 + 2*f**n wrt f.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 303084\/(-9)) + 5. Let k = y - 505046\/15. Is k equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24853714?\nAnswer: 2, 37, 53, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*x - 5*q, q = 3*x - 3 + 10. Let r be (1 + x)\/(2\/(-6)). Suppose -r*d + 15 + 6 = 0. Is 8 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - (sqrt(320) + 0 + sqrt(320))**2)*-4.\nAnswer: -32*sqrt(5) + 5120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/508312 and -113\/54462?\nAnswer: 1524936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1203.7 times -7554\nAnswer: 9092749.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26037720 and 840?\nAnswer: 182264040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 6*m. Let w(c) be the second derivative of -c**3\/2 + 88*c. Give -2*u(i) - 5*w(i).\nAnswer: 2*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 7*a - 2. Let d be y(6). What is the third derivative of 3*o**2 - 4*o**2 - 2*o**2 - 2*o**d wrt o?\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1102412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27\/(-12) - (-2)\/8. Let c be -2 + v + 9 + 2. Suppose -2*y + 3*w = -c*y + 46, -5*y + 4*w = -32. Calculate the lowest common multiple of y and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/72 and -1\/930160.\nAnswer: 8371440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15900 = 496*f - 60*f + 359*f for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 14 = -4*u, 0*o - o = u. Let f(l) = 4*l - 4 + 4 - 5*l + l**o - 4. Let n(j) = 19*j + 19. Let v be n(-1). Determine f(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/2 + 0\/(-7). Solve -9 = -5*f - 2*q, 0*q = f - q - j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40*174.\nAnswer: 6960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15213341 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 + -2)*(0 + 1). Let k = r + 9. Solve k = 3*t - 8 - 7 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/41)*h)\/h*h**(-1\/22))\/(h**(-8))**(-6) assuming h is positive.\nAnswer: h**(-43293\/902)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 58021 to the power of 1\/2, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18043*n**2*o**2 - 23*n**2 - 110*n - o**2 + 2*o - 1 wrt o?\nAnswer: -36086*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i + 47. Let m(b) = b - 16. Let q(x) = -3*d(x) - 8*m(x). Let j be q(4). What is the biggest value in j, 4, -12, -1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 12*r**2 + 42*r - 187. Let v be -5 + (-2)\/(4\/10)*-3. What is the smallest common multiple of 147 and h(v)?\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 399870 and -817.4818?\nAnswer: 400687.4818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 4*n + 2. Let c be p(4). Let t(l) = -l**3 + 7*l**2 - 11*l + 8. Let o be t(5). Differentiate -6*s**o + 2*s**2 - c*s**2 - 4 wrt s.\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28447149, -56894263, -85341377, -113788491, -142235605, -170682719?\nAnswer: -199129833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**10*r\/(((r**(1\/2)*r)\/r)\/r))\/(r**(-3\/8)*r**(-6)) assuming r is positive.\nAnswer: r**(143\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10685578.07 rounded to the nearest one hundred thousand?\nAnswer: -10700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p**3 + 5*p - 1. Let w be k(4). Let h = -1214\/7 - w. Let m be (4\/40)\/(6\/15). Which is the nearest to m? (a) 1\/7 (b) -1\/4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3834 + 277*y**2 + 208*y**2 - 3834.\nAnswer: 485*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 17 + 3 = 0, r + 1219 = 4*q. List the prime factors of q.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -24\/5, 3?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*168.\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 89 = -5*a. Let d = a + 92. Solve 15 = -d*m + 4*v + 4, 0 = -3*m - 5*v + 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6 - 179*h**2 - 34 - 8*h + 180*h**2. Let c be t(11). Solve -15 = -5*y, g - 7 - 11 = -c*y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + 1 + 4 + 4. Let w be 97\/(((-2)\/2)\/(6\/(-6))). Let s = w - 85. Solve -4*a + s = 3*y, a + k = -3*y + 17 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(36\/(-208)) - -4. Let a = x + 43. Put -12, a, 4 in increasing order.\nAnswer: -12, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13299 and 1116?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = g. Suppose -5*k - 53 = u - 3*u, -5*u - 16 = 4*k. Let w be 75000*g\/(k\/32). What is w rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 858 + -857. Put 51, g, -0.3, -2\/11 in decreasing order.\nAnswer: 51, g, -2\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234 + 63 - 60 - 46 - 4*b.\nAnswer: -4*b - 277","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 x, and 1 s when three letters picked without replacement from {s: 1, u: 1, f: 2, x: 1, a: 1, n: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33552\/7 - -4801. Let p = -326\/21 + r. Is -1 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 18\/499, -0.7, 0.08 in ascending order.\nAnswer: -0.7, 18\/499, 0.08, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1456c (base 13) to base 2.\nAnswer: 1001010110001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 8:59 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(153) + 1*(sqrt(153) - (sqrt(153) - (sqrt(153)*-1 + sqrt(153)))))\/(sqrt(27)\/(sqrt(3)*2 + sqrt(3)) + sqrt(36)\/(sqrt(12)\/sqrt(3))) + -1.\nAnswer: -6*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1512 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1\/3, 4, -0.099, -16, 12 in ascending order.\nAnswer: -16, -0.099, 1\/3, 1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 18 = -38. Calculate the remainder when 24 is divided by 2817\/315 - q\/(-175).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 39*(2 - (-4 + (-14)\/(-2))). Let b = 44 + h. Solve 0 = b*o + 28 - 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 88182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -42091, -42094, -42101, -42112, -42127, -42146?\n\"Answer: -2*x**2 + 3*x - 42092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 2*p**3\/9 + 64*p**2\/3 - 790*p - 2789. Solve y(u) = 0.\nAnswer: -79, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22*m*s*y - m*s - 35*m*y + 2*m - 2*s*y + 50*s + 55*y + 5 wrt s.\nAnswer: -22*m*y - m - 2*y + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -4*d**5\/5 - d**2 + 4. Find the second derivative of f(k) wrt k.\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 10*w - 1. Let a(j) = -7*j + 1. Let f(y) = 7*a(y) + 5*t(y). Calculate the lowest common multiple of 1 and f(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5251 = -4*m, -m + 2103 = 5*l - 3*l. What are the prime factors of l?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1968 divide 553263840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1467*k + 1187*k - 1076*k + 385*k + 1407*k in the form o*k + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -10. Put 3, 2\/17, u in descending order.\nAnswer: 3, 2\/17, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - 44 + 6462*k.\nAnswer: 6462*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 - 0) + (6 - 56 - -51)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2954*p + 2946*p - 72 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 17654177.\nAnswer: 529625.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*j - 658 + 802 = 0. Let o = -3 + 5.4. Let q = 0.4 - o. Which is the second biggest value? (a) 8 (b) j (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 119 - 7*f - 17*f + 135 + f**2 - 56. Let m be j(8). Calculate the highest common factor of 80 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/5)\/(p\/(p**(-8)\/p)))**(-2\/69)\/(p*p**(-3\/2)*p*p*p*p*p*p**(-2\/13)*p*p*p*((p**(-6)*p)\/p*p*p)\/p*p**(-3)) assuming p is positive.\nAnswer: p**(2839\/2990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2872 + -1512. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/538 + 2264\/4035. Find the common denominator of 113\/6 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g**2 + 27*g - 14. Let u be f(-6). Suppose -2*h - 5*c + 1830 = 3*h, u*h - 1428 = 5*c. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 0 = 12. Let v = 4 + t. Suppose 2*g = -3*d + 17 + 9, -v = 3*g. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2 + 5*l + 6. Let b be j(-2). Let t(p) = -14*p + 8. Let w(s) = 5*s - 3. Let x(m) = b*w(m) + 3*t(m). Let g(k) = 7*k. What is g(x(u))?\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/5330908 >= 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 - -71.6. Let t = -48.6 + h. Let w = -38.8 - t. Which is the fourth biggest value? (a) -4 (b) 0 (c) -2 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 7*m**2 + 247*m - 37. Let n(r) = 2*r**2 - 42*r - 47. Let l be n(21). Is i(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 13 - (-2 + -32 + 36 + -49 + 1)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 89 - (50 - 4 - (43 - -18))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.171065 nanoseconds in minutes?\nAnswer: 0.00000000001951775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 309*d. Let r(v) = 5912*v**2 + v. Calculate o(r(s)).\nAnswer: 1826808*s**2 + 309*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 b, and 1 w when three letters picked without replacement from iwbiiwiiiiiihdhi.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-141)\/(-9))\/((-347)\/1041).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -85.40042031 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 + 35 + 17 - (-2 - (-1 + -6)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 245 and 14910.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 9*l**2 - 13*l - 8. Let a be q(7). Let m be a\/3 - 20\/(-6). Suppose 4*c - 406 = -5*u, -6*c - m*u = -4*c - 202. Is c a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83 + -50. Let b = -414.1 + 440. Let i = b - o. Round i to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 103*x**2 - 2*x**3 + 5 - 2*x - 304*x**2 + 102*x**2 + x**4 + 110*x**2 + 2*x**4 as i*x**3 + l*x**4 + n*x**2 + o + r*x and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/735 and -64\/525.\nAnswer: 3675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + n)*(-2 + 6 - 2) + (-5*n - 4*n + 19*n)*(10 + 10 + 13)*(2 + 4 - 2).\nAnswer: 1322*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 107a - -1369?\nAnswer: 2427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -3 - -12) + 22 + -25.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 6164899?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + -0.1. Let t = 659\/9 - 73. Which is the third smallest value? (a) t (b) h (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 5 + 5 - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 108592 (base 11) in base 8?\nAnswer: 520565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eexe when four letters picked without replacement from eeeeeeeeeeeexee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1106, -3610, -7602, -13082, -20050, -28506, -38450?\n\"Answer: -744*m**2 - 272*m - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*z - 34, 0 = b + b - z + 34. Let q = b + 45. Suppose 33*c - q*c = 490. Calculate the highest common divisor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (56\/(-20))\/7*-125. Suppose -l + f = 14. What is the least common multiple of l and 81?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -2) + 6 - 1. Let g = 0.9 - -0.3. Let i = g - 1.2. Is n bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2988*m**3 - 2*m**2 - 9210*m.\nAnswer: -17928*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 18*a**3 + 6*a**2 + 3*a - 3866. Let q(m) = 23*m**3 + 8*m**2 + 4*m - 3866. Give -3*q(i) + 4*u(i).\nAnswer: 3*i**3 - 3866","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u*u\/u**(-2\/7)*u*u*u)\/u)\/u)**2*u**(2\/7)*u\/(u*u**(-2\/29)) assuming u is positive.\nAnswer: u**(1812\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**2 + 128*a - 170. Let k be p(-44). Solve k*o + 8 - 44 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -270 + 269.7. Let l be (-35)\/(-9) + (-1 - 3). Sort t, -1, l, -3\/5 in decreasing order.\nAnswer: l, t, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0963 from -68.\nAnswer: -68.0963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 5*v + 1. Let k be m(5). Is 18 a factor of k\/(-2) + 2175\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 7*m**2 + 16*m + 24. What is g(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m - 5. Let x be v(7). Suppose -3*k - x*u = -20 + 6, -3*u - 15 = 0. Let s be (8\/(-3))\/8*0. Solve 4*h - 3*p - 14 = s, -3*p = -5*h - k*p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + ((-1)\/(-2))\/1)*-2. Suppose 1166 = h*n + p, 686 = 3*n + 4*p - 0*p. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 + 52992*i**2 + 1375764*i + 8938072.\nAnswer: 4*(i + 13)**2*(i + 13222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -77*p**5\/60 + 133*p**4\/24 + p**3\/3 + 3*p**2 + 27*p. Find the second derivative of i(x) wrt x.\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*g + 42 = 86 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 10:31 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.153 + -0.053. Which is the nearest to -2\/3? (a) -0.3 (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.3 - -14275.04.\nAnswer: 14280.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 6 + 0)*(-d + 0*d + 4*d) - 1 - 4*d + 1 - 3 + 3 + d + (0 + 5 - 3)*(3*d + 27 - 27))*(1 - 1 + 6)*(0*d + 2*d - 3*d) as m + f*d + j*d**2 and give j.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 81\/2 of a microgram?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 12*j**2 + 20*j. Calculate the remainder when m(-9) is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56901796?\nAnswer: 2, 7, 2032207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-54)\/45*1*((-35)\/(-9))\/(-7). Suppose 0 = -2*q + 3*q + 48. Let c = q + 241\/5. Sort -1, c, 2, h in decreasing order.\nAnswer: 2, h, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 708 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (91\/11)\/(-7) + 1\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -79.95 * -0.4.\nAnswer: 31.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 1015 - 315. Let f be 70\/s + 26\/5. Suppose 3*u - 9 = b - u, -4*b - 2*u = 18. Sort 4, f, 1, b in ascending order.\nAnswer: b, 1, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 212202?\nAnswer: -212120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3294*c + a = -3286*c - 36, c - 4*a = -11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 9. Suppose 0*o - 2*o = 10. What is j(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 569, 599, 651, 731, 845, 999, 1199, 1451?\nAnswer: 1761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*j**2 + 6*j**2 + 4 + 2 + 9 with respect to j.\nAnswer: -46*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2baa79a (base 13) to base 2\nAnswer: -110101100101011000001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 1. Let j(d) = 2*d**2 - 32*d + 4. Determine j(o) - 3*p(o).\nAnswer: 2*o**2 - 35*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d = -19*d + 75. Let t = d - 7. Suppose -4*j = 5*a + 8, 6*j - 2*j = -t. Solve 2*l - 8 = -a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 3741 = 4*p - 3732, 2*m = p for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 4 - 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/747? (a) 3 (b) 84 (c) 1 (d) -3 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 1)*(2*t**3 - 2*t**3 - 2*t**3) + (-3*t**2 + 2*t**2 - t**2)*(-435 - 9*t + 435))*(3*t - 3*t + 2*t**2).\nAnswer: 32*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 7:25 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 3*n**2 + 2*n - 2. Let h be s(3). Let o(b) = 6*b + 1. Is o(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 906000303?\nAnswer: 3, 13, 1187, 19571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1325834 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 2*d + 2*h + 19, -3*d + 3844*h = 3841*h - 21 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 4\/9 (c) -4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-1)\/1)*-2. Is 8 a factor of (i + 0)*300\/(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 3:14 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4 - 207*j - 162*j**2 + 12*j - 4 wrt j.\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 28b2?\nAnswer: 28b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 8*m**2 - 999*m - 166. Give t(28).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18531?\nAnswer: 3, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**2 - 7821*z - 116640 = 0.\nAnswer: -2592, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -9. Let i(w) = 4 + 5*w**2 - w**3 - 2*w**3 + 4*w**3 - 6*w. Calculate the remainder when 6 is divided by i(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, 0.35.\nAnswer: -3, 0.35, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-3 - 0) + 2. Suppose -v*m + 6*u = u + 52, 3*m - 3*u = -69. Let a = 36 + m. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/356550351 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115492336?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -3*p + 57. Let k be (-2 + (-14)\/p)\/(13 - 12). Suppose 4*m + 211 = k*m. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -102, -15, -1787.\nAnswer: -1787, -102, -15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jhch when four letters picked without replacement from chjhchhch?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2007660 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z. Let q = 11014 + -11019. Let f(u) = u**2 - 5*u - 6. Calculate q*n(l) + f(l).\nAnswer: l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 4*z + 11. Suppose -13 = -z*g - 3. Find the third derivative of 0*d**2 - 2*d**g + 5*d**2 + 8*d**3 wrt d.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 195, 499, 803?\nAnswer: 1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*sqrt(117))**2 + sqrt(117)*-1*-4 - (-1*(sqrt(117) + -2)**2 + 0 + 2 + sqrt(117)).\nAnswer: -3*sqrt(13) + 233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -29844.1 to the nearest 1000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 2:29 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y - 1490 = -11*y. Let l = y - -152. Solve 2*t - 6*w - 1 = -l*w, 0 = -w + 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1609915*w*y**3 + 163*w*y**2 + 502963*w*y - 33*y**3 - y wrt y.\nAnswer: -9659490*w - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 34*q**2 + 33*q - 1. Let p be w(33). Let t be (p + 4 + -1)\/1. Solve -23 = t*h + 3*h + 4*c, -5*c = 10 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**8\/84 - 4*n**7\/105 + n**6\/10 + 8*n**5\/15 + 2*n**4\/3 + 64*n**2. Let f(z) = 0. Calculate z.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 2 + (-39)\/(-3). Suppose 3*x - i = -x - 11, -5*x + i = p. Which is smaller: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 5*y + 13. Let d be a(-15). Let q = d + 109. Put 1, -1\/4, q in ascending order.\nAnswer: q, -1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -7*f + 3. Let a be g(2). Let w be a\/3*(-5 + 2). Let s = w + -11. Is s less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -10. Suppose -2*q + 6 = i*m - 22, 0 = -q - m + 8. Let h(w) = w**2 + w**2 - q*w**2. Let t(n) = -2*n. Determine h(t(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -40*l - 27. What are the prime factors of p(-3)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 8*d**2 + d + 6. Let u be y(8). Calculate the greatest common factor of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 z, and 1 q when three letters picked without replacement from {z: 4, q: 1, b: 6, s: 4}.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8690 and 21340.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5391\/7 > -2\/81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/105)\/((-2)\/(-1))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -16. Let s(d) = -11*d + 1612. Let v be s(0). Let g be 9\/k + v\/20. Calculate the highest common divisor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -21.89675?\nAnswer: 24.89675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 2*s)*(2*s + 7*s**2 - 10*s**2 + 9*s**2) as w*s**2 + n + h*s**3 + r*s and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11285952 and 1892?\nAnswer: 124145472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.1418 + -13.637. Let d = -5.5 + y. What is d rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40004022 (base 5) to base 2.\nAnswer: 1001100011010110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9846166, -9846204, -9846266, -9846364, -9846510?\nAnswer: -9846716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**2 + 62 + 48 - s**2 + 22*s - 148 + 58 in the form n*s + i + c*s**2 and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 2*o + 2*w - 5 = 0, 15 = 3*w for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/2)\/((-4)\/12*-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5208 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 5*v**5 - 815*v**4 + 805*v**3 + 815*v**2 - 810*v = 0.\nAnswer: -1, 0, 1, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - w + 4*w = 33, -5*w + 33 = 3*y. Let i be (-1 - -27)*y\/(-24)*-10. What is the greatest common divisor of 455 and i?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 - 36*w + 19 + 3*w**4 + 2*w**4 - 6*w**4 + 35*w to the form o*w**3 + n*w + j*w**2 + a + y*w**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 18*t + 21 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4 = 2*x - 5*x, 3*x = -2*s + 2. Suppose 3*q - 20 = 1. Let z = x + q. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1616 - -1618.24. Round p to one dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2c (base 16) to base 10\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**2 + 4*y + 2*y**2 - 5*y**2)*(-1 + 2 + 1) + (y - y - y)*(-3*y - y + 3*y) - y**2 + 3*y**2 - y**2.\nAnswer: 4*y**2 + 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 31 - (31 + -30)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 6644 and -9905.\nAnswer: -3261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 3*k + 2. Let q be c(4). Let x = -27 - -30. Solve -q + 3 = -x*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45070 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1060*d = -12509 - 3166 - 5525 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3892419663 and -41441.\nAnswer: -3892461104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.8 rounded to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 665 + 67 = 0. Does 29 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 12:14 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17053 or -17013?\nAnswer: -17013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*y + 11*y - 19*y**2 + 4*y**2 + 2 + (0*y - 3*y + 2*y)*(-3*y + 2*y + 3*y).\nAnswer: -17*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + 1)**2 + (sqrt(304) + -2 + sqrt(19))**2 + 2*(-1 + sqrt(76)).\nAnswer: -4*sqrt(19) + 1162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60343 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - 2*l**2 + 0*l**3 - l**3)*(-981 + 441 + 965).\nAnswer: -425*l**3 - 850*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (-3 - -1) - 11) + (0 + 52 - 1).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 77*r - 65*r - 1403436. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 10:41 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 - 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - m - 97, -2*l + 10*m + 48 = 6*m. What is the remainder when l is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1692, 3384, 5076, 6768, 8460?\nAnswer: 10152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -109*k**3 + k**2 - 2*k - 2. Let s be u(-1). Let c be ((-20)\/6)\/((-4)\/6). Suppose 0 = c*g - s + 15. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 13033, 0, -1 in descending order.\nAnswer: 13033, 9, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1.305 * -2737\nAnswer: -3571.785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**2 + 16*f - 10. Let h be (11\/3)\/((-8)\/(-24)). Let j(r) = r**2 + 3*r - 2. Let z(n) = h*j(n) - 2*g(n). What is z(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18680 and 659404.\nAnswer: 6594040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 1091*u**4\/6 + 16*u**3 - u**2 - u - 329. What is the second derivative of r(f) wrt f?\nAnswer: 4364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 7*w**2 - 10*w + 20. What are the prime factors of n(3)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 7:37 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.128592 * 164.7\nAnswer: 21.1791024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1224 and -127\/180.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2 + 84*l - 867. Calculate m(10).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(-1)\/(-8)*4. Let i = -4639\/819 + -2\/819. Let r = i + 125\/21. Which is the closest to -1\/2? (a) 0.4 (b) v (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512862.\nAnswer: 2, 3, 7, 12211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllrlrrrllrlrlrlrr. What is prob of sequence lrlr?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/6 + 52\/(-120). Let k(m) be the first derivative of g*m**5 + 2\/3*m**2 - 2 + 0*m + 0*m**3 - 1\/4*m**4. Find d, given that k(d) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -504 - -1045. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/2268*-427)\/(8\/72)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2401, -3791, -4975, -5953, -6725, -7291, -7651?\nAnswer: -7805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1124829035 to the nearest integer?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 22284, 22285, 22286, 22287?\n\"Answer: x + 22283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/7 - 90*o**2\/7 + 2673*o\/7 - 26244\/7.\nAnswer: (o - 36)*(o - 27)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 873843.7 nanometers?\nAnswer: 0.0000008738437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/144 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*b = -98*b + 29*b + 290. Solve -5*k - 11 = u, 5 - b = 5*k - 5*u for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -1.3582.\nAnswer: -6.3582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 8*n - n**3 + 7*n**2 + 0*n**3 + 2*n**3. Let m be a(-9). Is -10 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6659566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 + 4*x - 6. Let v(i) = -i**2 + 2*i - 3. Let r = -306 - -299. Give r*v(b) + 4*z(b).\nAnswer: -b**2 + 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2640*x**3 + 0 - 4*x**2 - 2634*x**3 + 2 to the form c + z*x + j*x**2 + w*x**3 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -16597?\nAnswer: -16592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*u - 32 = 37*u - 69*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**2 + 14*o - 8. Let x be 20\/(-2)*(-5 - (-35)\/10). Is u(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6108\/17 (b) -2\/3 (c) 4 (d) -1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, e: 10}. Give prob of picking 2 a.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 6 = -2*y, 0 = 5*b - 16138*y + 16140*y - 30 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72395 is divided by 18098.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*o - 19 = 0, 2*z - 4*o + 3 = 1. Suppose 4*d - z = 3*d + 3*t, -5*d = 2*t + 2. Solve -10 = 2*k - d*k - 4*w, 2*k = -2*w - 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 3) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32 - (10\/5 + 0). Let d = 17 + r. What are the prime factors of d?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68613005 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -49*o**4\/2 - 5299*o**3\/2 - 80298*o**2 - 468342*o - 751896 = 0?\nAnswer: -354\/7, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30430122 - 113?\nAnswer: 30430004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 3462453?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-21)*((-16288)\/256 + 64)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34619537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2487357361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*d**3*g**3 - 2*d**3*g**2*h*p - 4*d**2*g**2 + 4*d**2*p + 2*g**3*h*p - 15*g**3*p + 4*g**2*p + 5*g*h*p wrt g?\nAnswer: -42*d**3 + 12*h*p - 90*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 51. Let s be 29\/35 + 16\/r. Put s, 0, -0.2 in decreasing order.\nAnswer: s, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 26*x - 3. Let j(g) = -2*g + 1652. Give v(j(i)).\nAnswer: -52*i + 42949","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(-8))\/(6\/(-4))*-229081*-4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (-3 + -10) - ((1 - (-2 + 20)) + -1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/(l*l**5*l*l)*l*l**(-4) assuming l is positive.\nAnswer: l**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(3\/(-2)))\/(-1). Suppose 2*r - a = r. Suppose -38 = -0*k - r*k. Is k a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 0.17524158?\nAnswer: -5.17524158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(11) + -1 + 5)**2 + sqrt(11))*6.\nAnswer: 486 + 162*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.369532 litres in millilitres?\nAnswer: 1369.532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x + 4. Let g be q(17). Solve -10 = -7*c - g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 12\/(-3)*(-5)\/2 - -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -3\/2, 2, -2\/7, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 19170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -12.957. Let f = -2.957 - q. Which is the nearest to f? (a) 1\/11 (b) -0.3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 2:45 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4 = 1. Put -4, u, -1 in descending order.\nAnswer: -1, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -208731 + -2\nAnswer: -208733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 715395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 149, -26, 1, 4, 15 in descending order.\nAnswer: 149, 15, 4, 1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 622921 - 622918. Find f such that -1\/6*f**y + 14\/3 + 4*f + 1\/2*f**2 = 0.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 7*v**2 + v + 2. Let c be m(-7). What is the remainder when 153\/4 - c\/(-20) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*c + 5*j + 69, -5*c + 3*j = -73. Suppose -2*h + 57591 = 3*y, -115188 = c*h - 21*h - 4*y. Round h to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -140 - 3544154?\nAnswer: -3544324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285717 is divided by 206?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28 - -5?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010100010110 (base 2) in base 9?\nAnswer: -7357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15213 is divided by 2262.\nAnswer: 1641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 8*x**2 - 17*x + 6. Let v = -141 - -145. What is the least common multiple of 5 and u(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 5*v + 140*v**2 + 0*v**4 - 142*v**2 - 2*v**4 - v**3 to the form i*v**3 + o*v**2 + c*v**4 + z*v + k and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22425)\/(-46046) + (-28)\/22 + 1. Sort 0.3, 4, y, 2\/9.\nAnswer: y, 2\/9, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + -1 - 3 - -2280 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + (-27 - (-73 - -103)).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -13. Let a(i) = -i**2 + 11*i + 6. Let z be a(p). Suppose -u = -3*w + 2, -3*u = 4*w + w - z. Solve -g - 1 = 5*f - 24, 3*g = 4*f - u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2848270 and 410?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.2795 - 6.2795. Let b be ((-20)\/(-75))\/((-4)\/(-10)). Sort 3\/2, f, b, 5 in decreasing order.\nAnswer: 5, 3\/2, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 + 0.27. Suppose 6*w + 3*w + 36 = 0. Let m be -1 - w - (-29)\/(-9). Which is the smallest value? (a) m (b) 1\/7 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**3 - 1469*i**2 - 1151*i + 17304. Calculate d(368).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -6 + 3 + 4 - j. Let x be y(2). Let m be 3\/(-135)*-2 - 0\/15. Is x at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y = 10*y + 32 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, 2, 8, -5040 in descending order.\nAnswer: 106, 8, 2, -5040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8.7? (a) 16 (b) -4 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011010 + 1010?\nAnswer: 1100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*l**5 + 782608*l**3*q**3 - l*q**3 + 1594*l*q - l - 3*q**3 + 79*q wrt l?\nAnswer: -80*l**3 + 4695648*l*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268 = -2*o + 5*f, 0*f + 2*f + 256 = 2*o. Let r(w) = -w + 124 - o. Let x(q) = 5*q. Calculate r(x(a)).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*d + 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 0 + 46 + -52.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7784, -5.\nAnswer: -5, 4, 7784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/((-2)\/((-16)\/8))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*2*-3)\/sqrt(3)*1)\/(sqrt(16)\/(sqrt(8)*4) - sqrt(2) - sqrt(16)\/sqrt(8)*3).\nAnswer: 8*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 12, -18 = -2*d + 9*b - 13*b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a hour in minutes?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/((18\/1770)\/((-63)\/((-7245)\/(-46))))\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 805 + -792. Solve -16*o - 51 - x = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -14*i**2 - 17*i**2 - 12*i**2. Let v(d) = 2*d**2. What is v(f(l))?\nAnswer: 3698*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*t - 5909 = 265*t + 8995 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -140*m + 155*m + 105. Let n(q) = -q**2 - 2. Let a(x) = x**2 - 21 - 22 + 44. What is m*a(f) - 5*n(f)?\nAnswer: -2*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33000 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 68*-1*(-1)\/(-2). Let g be 5 - 4 - (-5 + n). What is the greatest common divisor of g and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.03 - -7. Let o = c + -0.37. Let m = 0.8 + o. Round m to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzcc when four letters picked without replacement from {c: 4, z: 10}?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2461 - 2466.652. Let x = 0.204 - b. Let p = x - 0.056. Round p to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3637055?\nAnswer: 5, 59, 12329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000059 to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 29518334 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17816*v**2 - 17872*v**2 + 3*v - 43 + 633 - 234 + 2572 wrt v?\nAnswer: -112*v + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 101 + -17. Suppose g + 76 = 5*u. Let n = -35 + u. Which is the second biggest value? (a) 3\/2 (b) n (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -13 (c) -875 (d) 2 (e) 1 (f) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 9 = -7*c. Suppose c*l = 2*n - 3*n - 506, -972 = 2*n - 2*l. Let m = -300 - n. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.9957 and 455.\nAnswer: 908.0435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.3 + -21.3. Let p = -18.96 - y. What is the fourth smallest value in -0.3, 0.1, p, -1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405665 is divided by 12677?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f**2 + 179*f + 1523. Is 48 a factor of l(-67)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 10. Let n be ((-12)\/20)\/(h\/10). Solve -2*f + n*f + 1 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 2*m - 4*m)*(2*m**2 + 0*m**2 - m**2) + (6*m - 3*m + m)*(10*m**2 + m**2 - 3*m**2) + m**3 + 0*m**3 + 0*m**3.\nAnswer: 31*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 3:57 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**6\/120 - f**5\/60 + 13*f**4\/24 - 8*f**3\/3 - 14*f**2. Let j be a(-7). Calculate the greatest common factor of 17 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1033 and -20.\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.09 - -1.2. Let p = x + -0.46. What is p rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 12 = 36. Let g = 8 - d. Let o(b) = b**3 + 4*b**2 + b + 3. Determine o(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.72 - -0.28. Let t = -0.3 - -0.2. Which is the nearest to 0.1? (a) r (b) -2\/11 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.049 and -73117.\nAnswer: -73117.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 56 (c) -3\/7 (d) -2\/13 (e) 5.13 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 9:05 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 5\/101, 5?\nAnswer: 5\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-228)\/(-15))\/((-4)\/1450). Let p = -2259 - g. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3 + (sqrt(171) - (1 + -3*sqrt(171)))**2)*4*6.\nAnswer: -576*sqrt(19) + 65688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of 7*y**4\/12 + 5*y**3\/3 - 7*y**2\/2 + 2*y. Let a = -690 - -696. Is d(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -73 - (-2 - 15\/(-3)). Suppose -2*p + 0*a - 204 = 2*a, -3*p + 3*a = 294. Let s = n - p. Calculate the least common multiple of 12 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11101010001100101011 (base 2) to base 10\nAnswer: 959275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 8:09 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**3 - v**2 - 1041 + 4*v**2 - 6*v**2 + 1036 - v + 5*v**2 in the form u*v**2 + y + i*v + p*v**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 14. Let c be ((-3)\/y)\/((-14)\/(-112)). Solve c*u = -2*m + 2*u - 8, 5*u = -3*m - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 666041 (base 7) in base 9?\nAnswer: 187852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -35402956415197 + -3\nAnswer: -35402956415200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/3 - 1016790*z + 775396428075.\nAnswer: (z - 1525185)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 183*j. Let t(d) = -4*d**2 - 165. Calculate t(o(r)).\nAnswer: -133956*r**2 - 165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2708 and 211224.\nAnswer: 211224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**6\/20 - b**5\/30 + b**2 - 4*b. Let g(w) be the first derivative of i(w). What is the third derivative of g(m) wrt m?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m - 7*m + 2*m)*(m + 0*m + 4*m) + (-m - 1 + 1)*(0 + 0 + m) + 0*m**2 + 0*m**2 + 2*m**2 as u*m**2 + t*m + j and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 3*b + 2*b)*(-2 + 3 + 0) + 2*b - 2*b + 2*b - 132 - 5*b + 68 + 65.\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -2*g - 3*g - x - 35, -22*g - 111 = 10*g + 4*x + 33 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*c - 105*c - 2760 = 82*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 855\/(-2052) + 414737\/12.\nAnswer: 17, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 d when three letters picked without replacement from idiiddiiimmiiidi.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, w: 2, a: 8, r: 1, k: 1}. Give prob of sequence vr.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 - -112. Suppose 7087 = 10*y - 2713. Let d = y + -957. Calculate the highest common divisor of d and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbbr when four letters picked without replacement from rrkkbbkb.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*i - 10 - 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -4. Suppose -5*q = 2*k - 3399980, -8500012 = -5*k - n*q + 3*q. Round k to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2004 and 304107?\nAnswer: 1216428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/7 + 4895120*j**2\/7 + 5990554848717*j\/7 + 11981090116962\/7.\nAnswer: (j + 2)*(j + 2447559)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*n**3 - 113*n**3 - 184*n**3 + 19*n**3 + 28*n**3.\nAnswer: -358*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -10. Let j be 6 + -8 + (-10)\/b. What is the closest to -2\/3 in -4, j, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -9.12. Let y = q - -0.11. Let r = y + 0.0088. What is r rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7))**(-1\/11)*(c**1)**7 assuming c is positive.\nAnswer: c**(537\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 1224 - 1140. Suppose -178 = 7*b - o. Let u = -31 + 52. What is the remainder when b is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9189, -9005, -8819, -8631, -8441?\n\"Answer: j**2 + 181*j - 9371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12475679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in millimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -11. Sort a, 1, 3.\nAnswer: a, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -462.6 + 463. Which is smaller: -0.034 or l?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -9*a + 14. Suppose 4*m = 4*n - 4, -a*m = -m + 5*n - 29. Solve 0 = m*t - 4*y + 20, 2*t + 1 = y - 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-175)\/1)\/(-1) + (9 - 9). Differentiate 351*c - 31*c**2 - b*c + 12 - 176*c with respect to c.\nAnswer: -62*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000326405155 to 6 dps.\nAnswer: -0.000326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 7*f = 2*f + 12, -4 = -w + 3*f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 8*a**2 + 3*a - 18. Let n(k) = 7*k + 19. Let v be n(-4). List the prime factors of w(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -1228705\nAnswer: 122870.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-8))\/((-363)\/(-88))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -357, -1455, -3289, -5859?\n\"Answer: -368*f**2 + 6*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1802*n**2 + n + 14*n - 15*n + 5383*n**2 - 1796*n**2 - 1789*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 64060*z - 64064.\nAnswer: 4*(z - 1)*(z + 16016)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)*x**(-1\/8)*(x\/x**(2\/3))**(-3\/13))**(-2\/7) assuming x is positive.\nAnswer: x**(229\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bg when two letters picked without replacement from qbbqgqb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 8, j: 9, b: 2}. What is prob of sequence uu?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1275, -1274, -1273?\nAnswer: -1272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(128\/12) - (-21)\/(-4). Put 3, -3, h in increasing order.\nAnswer: h, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 18\/5 of a hour?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 7*x + 30. Let v be n(-4). Let i = 179 + v. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.2 - 2. Let s = -0.3 - g. Suppose 5*j + 0*j + 5 = 0. Which is the smallest value? (a) 0.3 (b) s (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -666.509 - 2465359?\nAnswer: -2466025.509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 6:13 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znnrrnnzrzrnnsnzzs. What is prob of sequence zz?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*o + 39229 - 39319 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*2\/3)\/(-28*36\/(-12096))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2280, 4545, 6808, 9069?\n\"Answer: -v**2 + 2268*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -8. Suppose 4*o + 3*n - 143 = 0, o - n + 37 = j*o. Is (299\/(-4))\/((-8)\/o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/560)\/(4\/14)*-30?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvjpz. Give prob of picking 1 u and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772480 is divided by 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58 + 58. Let m be (b + -246)\/((-4)\/2). Suppose m = -3*i + 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: (-55 - (3 - 2)) + -380 + (188 - -183)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 - 12*c - 36. Let n be l(-2). Solve -5*f + 5 = -n, 0 = j + 2*f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x + 41. Let t be i(-22). Let n(s) = s**2 - s + 1. Let k(q) = -q. Let r(h) = 4*k(h) - n(h). Calculate r(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -57132380*g**4 - g**2 + 58352*g + 12 wrt g.\nAnswer: -1371177120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**(-3)*k)\/k)\/k**(-1)*(k**(-2\/5)*k)**(-39))**(-22))**(5\/14) assuming k is positive.\nAnswer: k**(1342\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/175 and -27\/70.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, -4, 422 in increasing order.\nAnswer: -6, -4, 0, 422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-104.21326.\nAnswer: 104.21326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 120*h**2 + 108*h + 108. Let c(i) = -235*i - 1156. Let l be c(-4). Let v(r) = -r**2 - r - 1. Calculate l*v(d) - 2*j(d).\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.04683 nanoseconds to milliseconds.\nAnswer: 0.00001804683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 36 - 25*j**5 - 144*j + 8715*j**3 - 11*j**2 + 52*j**2 - 5*j**4 - 8474*j**3 = 0.\nAnswer: -3, -1, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1167451909.6 rounded to the nearest one million?\nAnswer: -1167000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18025 = -8630*n + 9351*n for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**2 - 10*s + 24. Let a(u) = -10*u**2 + 19*u - 48. Let d(f) = -3*a(f) - 5*i(f). Is 29 a factor of d(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -8*q**2 - 3*q. Let f(u) = 2560 - 2560 - 22*u + 35*u**2 - 90*u**2. Calculate -3*f(p) + 22*j(p).\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 1:37 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**3\/3 + 5324*p**2\/3 + 1689575*p\/3 - 1694900\/3 = 0.\nAnswer: -4985, -340, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 268861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*(-10)\/(-75)*85\/(-68).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14409 in 4.6, -2, -16, 2?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1803051*t**5 + 2*t**3 + 3264846*t**2 wrt t?\nAnswer: -108183060*t**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*(sqrt(9)\/sqrt(48) + sqrt(3))**2 + 2.\nAnswer: 67\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/2400788 and -167\/3878196.\nAnswer: 50416548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*l**2 + 20*l**2 - 11*l - 61 - 48*l**3 + 46*l**3 - 36*l**2 in the form v*l**3 + a*l**2 + i*l + k and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 94 = 32. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1798*g*u - 873*g + 2609886*u wrt g.\nAnswer: -1798*u - 873","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.71499 * -0.14.\nAnswer: -0.5200986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-15)*0 + -2)*(-24)\/(-32)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (-1)\/(3\/(-615)). Suppose -239 + 245 = 2*a. Suppose a*f + q - 569 = c, 113 = f - 2*c. What is the remainder when f is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -8*s**3 + 7*s**2 - 19*s - 13. Let h(b) = 7*b**3 - 7*b**2 + 17*b + 12. Let j(d) = -7*h(d) - 6*y(d). What is the remainder when 71 is divided by j(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g + 63. What is the lowest common multiple of 9 and b(-9)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, b: 2, e: 1}. What is prob of sequence beb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -32 and 0.05625625.\nAnswer: -31.94374375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azdezzaabb. What is prob of picking 1 b, 1 e, and 1 a?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -147 + 149. Suppose 2*n - p = 65, 3*n - s*p + 56 = 5*n. List the prime factors of n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 6. Let g be o(0). Suppose p - 11 = -3*x - 0*p, 0 = -3*p + g. Let w be 0 + 3\/3*0. Solve -3*q = -5*a - w*q - 6, 0 = q + x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23440544 (base 7) to base 10.\nAnswer: 2077142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2, 5, 27, 1, -48 in decreasing order.\nAnswer: 27, 8, 5, 1, -2, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 3:54 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -161980.39566 - 1.065?\nAnswer: -161981.46066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 317699 to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -32 - 38657?\nAnswer: -38689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419668 is divided by 204432?\nAnswer: 10804","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 3*y - 6, 2*a + y = 2*y - 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 p when three letters picked without replacement from {n: 4, p: 3}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 2*d**2 - d - 2. Let r be n(3). Let j be ((-9)\/6)\/((-3)\/r). Suppose 5*f - 295 = -j. Is f 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 rrorrroorrr. What is prob of picking 1 r and 3 o?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(112)*2 - ((sqrt(112) - -3*(0 + sqrt(112))) + sqrt(112)))**2 + 4.\nAnswer: 48*sqrt(7) + 1016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -7*r + 26. Let o be y(0). Let l(t) = -o*t + 55*t - 26*t. Let u(g) = -1. Let h(k) = k - 6. Let a(p) = h(p) - 6*u(p). Determine a(l(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 54*z**2 - z + 7. Let x be j(-4). Suppose 5*p = 5*q + x, 3*q + 82 = p - 103. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -559.82 + 7.82. Let p = w + 552.05. What is the third smallest value in 4\/5, 0, p?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 + 118*u**2 - 416*u - 1320.\nAnswer: -2*(u - 55)*(u - 6)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2042006 - 468?\nAnswer: -2042475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 253 - 53. What is the greatest common divisor of 20 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/23, -0.3, 0.1, -501 in ascending order.\nAnswer: -501, -0.3, 0.1, 8\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3801461617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -11*d**2 - 6*d. Let v(o) = -12*o**2 - 6*o + 1. Let p(s) = -6*f(s) + 5*v(s). Let b(u) = -u**2 - u - 1. Let i = 12 + -16. Calculate i*b(c) - p(c).\nAnswer: -2*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 174\/41 and 4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 3*u = 10*u - 9, 4*u = 4*y + 2019 - 1935 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-6))\/((-2)\/(-12)). Let m be 222\/16 - 2\/q. Let n = m + -27\/2. Is -1 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103649?\nAnswer: 7, 13, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)*m)\/(m\/(m\/m**(-16)))*m**11*m**(29\/5))**(-24) assuming m is positive.\nAnswer: m**(-3936\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 106710977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 2:34 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 0 + 12*x + 1\/720*x**6 + 2\/3*x**4 - 1\/40*x**5 + 0*x**3 + 0*x**2. Let l(w) be the third derivative of h(w). Determine l(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(432) - sqrt(432)*2 - sqrt(432)) + sqrt(432)))\/(sqrt(144)\/sqrt(4))*3.\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 2 + (-2 + 5 - 1)*(1 - 1 - 2))*((92*w + 3*w - 52*w)*(-2 + 5 + 0) - w + w - w).\nAnswer: -896*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjjjnjtjckjrrtt. Give prob of picking 1 t and 1 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 9*t**2 - 1 - t**2 + 0. Is u(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30365284 is divided by 7810?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -424*b. Let u(t) = t. Determine u(p(k)).\nAnswer: -424*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19*20\/(-1330))\/(444\/84)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9165283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3 - 1. Let r(u) = -4 + 6 - 1. Let x(p) = 4*p**4 + 1. Let z(k) = w*x(k) + 6*r(k). What is the first derivative of z(i) wrt i?\nAnswer: 32*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2816521?\nAnswer: 661, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*d = -2006 + 5834 for d.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 20 = 5*t, -n + t - 3*t = 4. Is 4 + (-14)\/n*(-6766)\/(-17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.22 + -0.2387. What is x rounded to 3 dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 24, 26, 8, -8.6, -1, 2\/5 in descending order.\nAnswer: 26, 24, 8, 2\/5, -0.4, -1, -8.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113 - 1012444344?\nAnswer: -1012444231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 17702426 divided by 14\nAnswer: 1264459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -147 (base 9) to base 5.\nAnswer: -444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 11*o**2 + 3*o - 6. Let f be h(4). Is 8 a factor of f\/4*504\/294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2184608, -2184605, -2184602, -2184599, -2184596, -2184593?\nAnswer: -2184590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 7 (c) 2\/9 (d) -5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 936 a factor of 1191301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 46*r. Let a(l) = 31*l**2 - 39*l**2 - 7*l**2. Determine a(z(m)).\nAnswer: -31740*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 595?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8404, 8409, 8414?\n\"Answer: 5*d + 8399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2394, -9500, -21320, -37854?\n\"Answer: -2357*g**2 - 35*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 320892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = 17*b - 2 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -0*d - 2*d + 3*f, 0 = d + 4*f - 17. Let c = d - -38. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 + 510*c - 515.\nAnswer: 5*(c - 1)*(c + 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43270 = 38*w + 4700. Let y(p) = 2*p**2 - 38*p - 5. Let a be y(20). Calculate the highest common factor of a and w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 2*x**2 + 3*x. Let z be c(3). Let j = 29 - z. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11639045 is divided by 133782.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**3\/7 + 10*b**2\/7 + 44*b\/7 + 32\/7 = 0.\nAnswer: -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - x - 4. Let i(u) = -u**2 + 5*u + 9. Let h be i(7). Let w = h - -8. Calculate s(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/7 (b) 6346 (c) -2 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 21*y + 212. Let j be a(-10). Factor -8 - 5 - 49*i - 2 + 0*i**j + i**2 + 47*i.\nAnswer: (i - 5)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3093825673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*3 + (4 - 11). List the prime factors of (-1)\/(-5) + (-1328)\/i + -1.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*r**3 + 4 + 3*r**3 - r**3 + (1 - 1 - 2)*(-4*r**3 + 3*r**3 + 0*r**3).\nAnswer: -3*r**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - (-5*sqrt(72)*-2 + sqrt(72)))\/(sqrt(88)\/sqrt(176)))\/((-1*sqrt(528))\/(sqrt(1100)*1)).\nAnswer: 100*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013073 to five decimal places.\nAnswer: -0.00131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -17 + 2 - -2) + -8 + 0\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**2 + 153*t - 9*t**2 + t**3 - 1 - 152*t. Let k be y(6). Suppose -5*i + k*z + 20 = 0, 0 = -0*i + 4*i - z - 7. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*p + 21*p + 20064 = 0. Calculate the smallest common multiple of 532 and p.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16139c + 20?\nAnswer: -16137c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4827374 and 1264.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 717809595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -5*g - 958 - 3227, 2*l - 1666 = 4*g. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l*l*l**1)\/l))**(-22)\/(l**(-2\/5)\/l**2) assuming l is positive.\nAnswer: l**(122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 3*p = -6, 0 = 5*v + 4*p - 22 + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -148 + 148. Suppose u = -10*w - 22 + 2. What is the second smallest value in 3\/2, 2, w?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 38\/48 + (-2)\/3. Let p = 0.12 + -5.12. Let o = -4.5 - p. What is the third smallest value in -0.3, o, l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 198892746 times -4\nAnswer: -795570984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.26 + 0.3. Which is the smallest value? (a) 0 (b) -2 (c) 4 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 + -36)\/((-14)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10392\/3031*(-105)\/20*2?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 363584 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 + 42. Let w(f) = f**a - 11 + 6*f - 2*f**2 - 13*f + 3*f. Is 11 a factor of w(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1633*c*v**5 - 75858*c*v - 23*v**5 wrt v?\nAnswer: 32660*c*v**3 - 460*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 152\/(-25) + 124\/925 + 1418\/(-26233)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2083, 8312, 18693, 33226, 51911?\nAnswer: 74748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(48)\/sqrt(4)) + sqrt(15) + (-2*sqrt(735) - sqrt(15)))\/(((1*sqrt(20) + sqrt(20))*-4)\/sqrt(4)*3) + -2.\nAnswer: -2 + 13*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-460)\/36 - (-2)\/(-9). Let o = h + 18. Suppose -3*v + 61 = z, 0 = o*v - 4*v - 2*z - 18. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1111, -950, -789, -628, -467?\n\"Answer: 161*o - 1272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -49588597 and -3.\nAnswer: 148765791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence th when two letters picked without replacement from {t: 2, d: 1, c: 1, r: 1, h: 1, x: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n**2 - 4*n**2 + 9*n**3 + 5*n - 10*n**3 - 7. What is the tens digit of v(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 1 = 2*j, -j + 2 = 4*r + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 13*b - 702. Let c be h(38). Which is greater: c or 1236\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 50, 42, 22, -16, -78?\n\"Answer: -f**3 - f + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-45)\/(-10))*9\/(-6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-15) + 42486\/1060. Let p = r + -52\/53. What is the common denominator of p and 16\/(-6)*18\/(-88)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -57, -112, -179, -264, -373, -512, -687, -904?\n\"Answer: -f**3 - 48*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*v + 15 + 182 = 986 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442*x + 541*x + 11675 = -16922 - 3842 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -11038*v + 166410. Determine x(15).\nAnswer: 840","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2394 and 9450.\nAnswer: 179550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -165 - 5?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 0 - 1\/84*y**8 + 8\/105*y**7 + 0*y + 0*y**4 + 1\/10*y**6 + 13*y**2 + 0*y**3 - 6\/5*y**5. Factor f(a).\nAnswer: -4*a**2*(a - 3)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -62\/21 in 2\/5, -2, 2, -0.25?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52525 and 275040?\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*(-3)\/(-5) + -3. Suppose g*h + 266 = 4*q - 3*h, -3*q + 185 = 5*h. List the prime factors of q.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4169, 7, 0 in decreasing order.\nAnswer: 4169, 7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((156\/(-6))\/(13\/(-2)))\/((-12)\/99).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -472*r + 6. Let n(b) = 157*b - 2. Give -8*n(h) - 3*y(h).\nAnswer: 160*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 7*c + 22. Let w be g(-14). Let a = w + 146. What are the prime factors of a?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 7035992*j. Let b(t) = -4*t**2. Give b(i(x)).\nAnswer: -198020733696256*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6597 and 5915310?\nAnswer: 17745930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -181.501153 - 1904.705?\nAnswer: -2086.206153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 730.1774 litres to millilitres.\nAnswer: 730177.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**5\/4 + 25*q**4\/12 + 20*q**3\/3 + 10*q**2 + 12*q. Factor r(o).\nAnswer: 5*(o + 1)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 9:59 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1947*x**2 - 1033*x**2 - 904*x**2.\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/8400 and 143\/2430?\nAnswer: 680400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**4 + 53254923*p**3 - 315120740441238*p**2 + 621545408929224092868*p + 621545724050017789032 = 0.\nAnswer: -1, 5917214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 113*g**2*i + 9*g**2 + 2*g*i - 11*g - 1382*i - 13 with respect to g.\nAnswer: 226*g*i + 18*g + 2*i - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 5*m - 95. Let o = m + -1. Suppose -2*s + o = -s. Solve -4*d - s = -2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v**(-2\/11)*v*v)\/v*v)\/(v\/(v**0\/v)*v)*(v*v**(2\/7))**16)**(2\/9) assuming v is positive.\nAnswer: v**(3140\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-80)*48\/522?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 2 - 2)*(0*r - 2*r + r)*(0 + r + 0) + 2*r**3 + 2*r**3 - 2*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 3 - (-1 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 88, 98, 114, 136, 164, 198, 238?\n\"Answer: 3*j**2 + j + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015508326 to six decimal places.\nAnswer: -0.000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 376, -498, -1372, -2246, -3120?\nAnswer: -3994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 10*w**2 - 6*w + 8. Let f(j) = -j + 1. What is 6*f(a) - m(a)?\nAnswer: -10*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9901703?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/145 and -94\/534315.\nAnswer: 15495135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 7567*q**2 + 7548*q**2 - 15127*q**2 + 2*q + 273. Let b(w) = w**2. Give j(b(y)).\nAnswer: -12*y**4 + 2*y**2 + 273","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**3\/7 + 4412*g**2\/7 - 17574*g\/7 - 13212 = 0. Calculate g.\nAnswer: -3, 7, 2202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -0.18, 3, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6271495 is divided by 308?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152)*-3 - sqrt(1152))\/(2*sqrt(20)\/sqrt(5)).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1, -1, -3, -5?\n\"Answer: -2*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 10*q**3 - q + q**3 + 7*q**3 in the form s*q + x*q**3 + n + g*q**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.7298978 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 387 or 77.06?\nAnswer: 387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -620, -1143, -1666?\nAnswer: -2189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = 4*x. Calculate the remainder when 2 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438 a factor of 73658022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1566 is divided by 131?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + s. Let m be (1\/2)\/((-1)\/(-2)). Let n be y(m). What is the first derivative of 4*a**2 - 3*a**2 + 0*a**2 + n wrt a?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000113085921 to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8057918 minus 13.147?\nAnswer: -11.3412082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3612899 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 89081265297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -23 (b) -4\/5 (c) 0.4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11685421, 23370843, 35056265, 46741687, 58427109?\nAnswer: 70112531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 45 - 80 - 112 + 20*q**2.\nAnswer: 20*q**2 - 152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21240, -169854, -573228, -1358742, -2653776?\nAnswer: -4585710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 13. Let w(i) = -i**2 + 15*i - 5. Let z(x) = 7*x - 2. Let d(n) = q*w(n) - 5*z(n). What is the second derivative of d(j) wrt j?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36883 and 405713?\nAnswer: 405713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o + 0*o - 3*o)*(-3*o - 3*o + 4*o)*(-1 - 2*o + 1).\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1736 divided by 4?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30\/(-25))\/(1\/45). Let p = u - -48. Let w(b) = b**3 - 3*b**2 + 4. Let i(f) = f**3 - 2*f**2 + 3. Calculate p*i(a) + 4*w(a).\nAnswer: -2*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**2 - 42*l. Let b(j) be the second derivative of 2*j**3\/3 + 6190*j. Calculate b(y(n)).\nAnswer: 16*n**2 - 168*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f**2 - 46*f - 85. What is p(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 327880.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-8*o**4 + 22*o - 22*o).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/3 - 53225344*w\/3 - 106450696\/3.\nAnswer: 2*(w - 26612674)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -1\/12*w**4 + 0*w + 1\/60*w**5 + 1\/2*w**3 + w**2 + 0. Suppose -9 = 2*n - 3*n - 2*m, 3*m = n + 6. Calculate k(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10910 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/13 + 4477334*h**2\/13 + 2505821684432*h\/13 + 7517424757344\/13.\nAnswer: 2*(h + 3)*(h + 1119332)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 2:40 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 248 (base 10) to base 7\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -122*c**3*m*q + 1301*c**2*m*q - c**2*m + 127*c*m*q - 3*c*m - 3*c*q - c wrt c?\nAnswer: -732*c*m*q + 2602*m*q - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from {c: 1, w: 1, a: 1, y: 1, g: 2, u: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/8 + 178144*x**2 + 507763130621*x\/8 - 507765980929\/4.\nAnswer: (x - 2)*(x + 712577)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116023 and 1756202?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/9 + (-49)\/(-3). Suppose 39 = -z*j + 379. Calculate the remainder when 54 is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 2\/9, 1\/4, -4, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 0.2, -46, 4\/5, -0.334?\nAnswer: -0.334","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(121)*3 + sqrt(121))*-5)\/(sqrt(11) + -5*(sqrt(11) - sqrt(396))).\nAnswer: 40*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*u = 4, -r - 2*u + 3 = -1. Sort r, -3, 8 in decreasing order.\nAnswer: 8, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 165856 - -5?\nAnswer: 165861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by (25\/50)\/((-2)\/(-52))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -66\/5 - 2\/15*i**2 - 8\/3*i = 0?\nAnswer: -11, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g. Let y be ((-72)\/84)\/(2\/(-14)). Let l(t) = 11*t**2 + 5. Let s(d) = 12*d**2 + 6. Let w(o) = y*l(o) - 5*s(o). What is x(w(r))?\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g + 19. Let w be v(14). Suppose 0 = w*r, -2*i + i = -5*r - 5. Let m = i - 6. Which is the second smallest value? (a) m (b) 1 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5b6944 + -5?\nAnswer: 5b693d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 6*u + 15. Let g be 1\/u - (-2)\/(-3). Let s = 0.2 + -0.2. Which is the smallest value? (a) -1\/2 (b) g (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2 - 14. Suppose d*j + 2*b - 18 = 2*j, -5*j + b = -39. Find the third derivative of 2*g - 2*g**2 - 2*g + j*g**3 - 6*g**2 wrt g.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -4, 0.3, 22, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2158976411 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -241 + 241 - 3*h - 18*h. Let b(r) = 3*r**2. Calculate l(b(k)).\nAnswer: -63*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*a + 7. Let k be (a\/(-7))\/((-18)\/48523). Let n = 2679\/7 - k. What is the common denominator of 89\/22 and n?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijx when three letters picked without replacement from oxjojojxojoxiij?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-18))\/(5\/(-10)). Suppose 4\/3*u - t - 4\/3*u**3 + 4\/3*u**2 = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 1 - 0 - -1 - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/5549094 and 113\/4315962.\nAnswer: 38843658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -157 (b) 0 (c) 3\/14 (d) 1\/3 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q + 6. Suppose 4*y - 43 = -5*w, -5*y + 12 = 2*w - 12. Let k(c) = -c**2 + 8*c - 11. Let l be k(w). Determine u(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 654220.\nAnswer: 2, 5, 7, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + 11. Suppose -4*x = -0 - a. Suppose -15 = -3*n, 6*j - 2*j + x*n = 64. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 5*r + 51, x + r - 2*r - 27 = 0. Let v = -111\/4 + x. Sort v, -0.4, -4\/5.\nAnswer: -4\/5, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 3, j: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/6)\/(1\/((-204)\/(-9))). Suppose 8720 = 38*l - r*l. Let o(j) = -13*j**2 + l*j - 2180*j. Let i(a) = -4*a**2. Give o(i(s)).\nAnswer: -208*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4242 - -4558. Calculate the remainder when f is divided by 56.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -235292257 divided by 4?\nAnswer: -235292257\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b. Let x(g) be the second derivative of 5*g**5\/24 - 65*g**3\/3 + 116*g. Let y(p) be the second derivative of x(p). Determine y(r(h)).\nAnswer: -50*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.76 - 0.06. Let f = -4 + d. Which is the second biggest value? (a) 0.3 (b) 0.4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56727 and 10.\nAnswer: 567270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(44))\/(1*sqrt(64)) - (-1 + (sqrt(99)\/sqrt(3)*1)\/(sqrt(108) - (sqrt(108) - sqrt(108)*2)))**2.\nAnswer: -5*sqrt(11)\/6 - 155\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -11. Is 8 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*k - 47 = 0, -5*y = -3*k + k + 29. Let l = 9 + y. Solve 2 = l*b - 8 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.6 (b) -1\/6 (c) -7 (d) -447 (e) -1\/3 (f) 0.2 (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5111*c - 1839952. What is h(-360)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431*r + 424*r = 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 20 = -28. Suppose 5*s = -16 + y. Suppose 2*b - 2*m = 258, b - 2*m - 130 = -s*b. What is b rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16, -30, -46, -64, -84, -106?\n\"Answer: -k**2 - 11*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17646 + 17658. Solve -m + 75*z + 1 = 76*z, -n = 3*z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (4 - (4 + -4)). Let v be j*66*(-3)\/(-6). Let q = v + 30. What is the closest to 0.1 in 1, q, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226851 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (0 - (-2 - -5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u = 4*v - 14*u + 16, -4*u + 18 = -2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -8 (b) -542 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 3*j**2 - 2*j - 3. Determine d(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94740, -94738, -94736, -94734?\nAnswer: -94732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61\/2 + -31. Let z(t) = t**3 - 4*t**2 - 5*t - 4. Let f be z(5). Which is the second smallest value? (a) f (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 214\/14 - -1 - (-28)\/(-98)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + (-30 - -10) - (0 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/14 - (-1711)\/1711)*21\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 7:43 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**3\/3 - f**2 - f + 141. Let z(p) = -8*p**2 - 17*p - 9. Let n(r) = -51*u(r) + 6*z(r). Determine h, given that n(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31\/913 - -127251\/63910. Find the common denominator of y and 3\/(-18)*164\/(-21).\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 18*u**2 + 402*u - 28. Let w be h(-31). Solve -w*y - 33 = -5*t - 22, -4*y = -t - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20*1)\/((-48540)\/29124)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2. Let j(s) = s**3 - s**2 + 3*s - 5. Let g be j(p). Suppose 0 = -2*l + g*l. Solve -x + 5*x = l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 6*f**2 + 5*f - 4. Let h be v(5). What are the prime factors of (20\/(-10))\/(h\/102)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103224\/(-782)*18\/33?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4*-17\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(7\/3)\/(k*(k\/(k**5*k)*k)\/k)*k\/((k*k**3*k)\/k*k)*(((k\/k**(-5))\/k*k)\/k)\/k*(k**(-4\/9)*(k*k\/(k*k\/((k\/k**1)\/k)))\/k)**(-15\/8) assuming k is positive.\nAnswer: k**(131\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338114 is divided by 577?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**7\/4200 - s**6\/600 - s**5\/300 - 8*s**3\/3 + 16. Let a(z) be the third derivative of m(z). Find d such that a(d) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3399, 3396, 3393, 3390, 3387, 3384?\nAnswer: 3381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 4*d - 3 = 5, 3*r + 27 = -4*d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.472 <= -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/8038 and 11\/208988.\nAnswer: 208988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 49291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*l - 8*f + 81, -3*l - f + 81 = 0. Suppose 0 = -k - 2, 0 = -u + 3*k - 7 + 22. Calculate the highest common divisor of u and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 507 in -680\/33, -2\/21, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**5\/20 + d**4\/12 + 2*d**3\/3 + 2*d**2 - 2*d + 61. Determine u(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**3 + b**2 + 7*b - 7. Let y be k(4). Let j = 135 - y. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(171)\/(sqrt(441)*-1) - ((-2*sqrt(228))\/sqrt(12) - sqrt(19))*-6) + -1)*1)**2.\nAnswer: -254*sqrt(19)\/7 + 306500\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -y, -4*y - 5 - 7 = 0. Find the second derivative of 3*v**3 - d + 2*v - 5 + 6 wrt v.\nAnswer: 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/14 + 149\/7. Let o = -103 - -187. Let j be 6\/l - 87\/o. Which is bigger: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31905*u + 11 - 3 - 7.\nAnswer: 31905*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (16317\/(-938904))\/(-3). Let z = 2\/1349 - t. Let a = -569\/2552 + z. Calculate the common denominator of a and -23\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*v**2 + 40*v**2 + 33*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 11*c - 2*c + 3*c - 2*c. Let f(j) = 11*j. Give f(q(a)).\nAnswer: 110*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*o + 2614, -o - 4*x + x + 518 = 0. Suppose 0 = v - 5*v + o. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9117805 - 1293098 = -86*r - 1910405. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1211233 - -121044?\nAnswer: -1040134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 399024 and 399026 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 420\/(-84)*(-5)\/(-10)*-6.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a litre in millilitres?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1531*f + 4657. Let z be c(-3). Solve -540*b - z = -532*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*f + 13 = 0, u = -0*u + 4*f - 1. Let p = -107057 - -107036. Put u, p, -2, -1 in decreasing order.\nAnswer: -1, -2, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 20 = -5*z. Suppose 0 = z*b + 143 - 808. Suppose -b = -5*m + 2*t, m + 2*m - 4*t = 77. What is the least common multiple of 15 and m?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*x = 12, 3 + 3 = -l + 4*x. What is the common denominator of 85*(3\/l + -1) and 63\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.431 times -0.2?\nAnswer: -0.0862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/1992 and -35\/145848.\nAnswer: 12105384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -126815 (base 10) to base 6\nAnswer: -2415035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/10*-718 - 3. Let o = b - -75. Let l = 0 - -0.4. Sort -0.4, o, l in increasing order.\nAnswer: -0.4, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5285 - -5309. Which is the nearest to 1? (a) j (b) -1 (c) 2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(-1*sqrt(3)*-4) + 3*sqrt(176) + -5)**2 + -4.\nAnswer: -245*sqrt(11)\/2 + 26747\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168552, 674237, 1517044, 2696973?\nAnswer: 4214024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2473 is divided by 225.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -1 (b) 2\/7 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 5.9. Put -5, 2, b in ascending order.\nAnswer: -5, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 9. Determine p(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xos when three letters picked without replacement from sxcoo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s**2 + 4. Let n(q) = 2*q**2 - 2. Let w = -265 + 450. Suppose -7*d + w + 627 = 0. Let p = d + -112. Calculate p*o(z) + 7*n(z).\nAnswer: -2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + -3*sqrt(300) + sqrt(300)*-2*-6 + sqrt(300) - (1 + sqrt(300))*2*-6*-4))**2.\nAnswer: 35720*sqrt(3) + 435409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -2. Let n(f) = 6*f**3 - 2*f + 1. Let t be n(q). Suppose -4*y + 2*y - t*k = -11, 3*y - 26 = 2*k. Solve 2*j - 4*j = 2*r + y, 4*r + 16 = -2*j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8562 (base 14) to base 6\nAnswer: 254322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 442?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*j - 2*j, 3*j - 9 = 0. Suppose 4*r + 106 = 3*x, -q*x - 2*r - 2*r + 146 = 0. What is the highest common factor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 - 40*l - 11. Give c(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-3))\/(-1) - -177. Let r = 1077223\/33 + -98468\/3. Let y = u + r. Which is bigger: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 7*c**2 - c - 3. Let m(d) = 10*d**2. Let u be m(-1). Let q be 4\/u + 111\/(-15). Calculate v(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) 1\/5 (b) -0.1 (c) 456 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.163554 grams in tonnes?\nAnswer: 0.000000163554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/2 greater than 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 3. Let w be c(-3). Suppose 3*b + 7 = i - w, -4*b - 24 = -3*i. Solve 3*t + 8 = -2*o, t = -0*t + i*o + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**2 + 8*d + 3. Let v(j) = -5*j**2 + 16*j + 6. Let u(t) = -11*i(t) + 6*v(t). Suppose 4*y = w + 21, 0*y - 5*w = 3*y - 33. Is u(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*v + 3*x, 5*x = 2*v - 16 - 15. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 + -29. Suppose -s = -5*t + t. Let p be t\/18 + 68\/18. Which is smaller: 3 or p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 230 = 655. What is the remainder when s is divided by 57?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.04 times -65.703\nAnswer: 659.65812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvvyossf. What is prob of sequence vf?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(76) + 4)*4.\nAnswer: -16*sqrt(19) - 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -10. Let c = z + 9. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32923.\nAnswer: 11, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, -24\/11, 3, 22 in decreasing order.\nAnswer: 22, 3, 0.08, -24\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 17897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59664899?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5423 and 77.\nAnswer: 37961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4 - 0. Suppose -y - 16 = -2*w + 9, 2*w = -z*y + 30. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -18*(4 - (-9)\/(-2)). Suppose 3*w = -3*o - 0*o + 243, 4*w - 162 = -2*o. Calculate the highest common factor of o and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 301*l - 15. Let g be c(3). Let o = g + 296. Suppose 256 = 12*k - o. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 721 a factor of 403760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1336990978?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166 = -30*m - 16 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**0)**10)**(-34))**(-5))**(-7\/13) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10326841, -20653686, -30980533, -41307382, -51634233?\nAnswer: -61961086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1138, -1141, -1038, -739, -154?\nAnswer: 807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*y = -y - 36540. Let c = y + 1027. Does 27 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 287 and 82.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*62 - (-3 + 5). What is the units digit of f\/35 - (-4)\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -58*j**4 - 5*j**3 - 10*j**2 + 5*j + 2. Let k(c) = 58*c**4 + 6*c**3 + 12*c**2 - 6*c - 2. Let g(r) = 5*k(r) + 6*m(r). Differentiate g(q) wrt q.\nAnswer: -232*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 712*w = 100*w + 17700876. List the prime factors of w.\nAnswer: 3, 31, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*g + 29 + 9 = 0, 5*p + 3*g = 102. Let k be (27 + -16)\/((-58)\/(-28) + -2). Let z = 168 - k. Calculate the greatest common divisor of z and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 7703 = 3776 + 3807 for w.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 - 29 = 12*j. Let g be 76\/(-266) - (-1 + (-5)\/j). Solve g = -q - 5 + 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1412 - -1344) + (159 - -2)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**3\/6 + 20*d**2\/3 - 3739*d\/6 + 3655\/3 = 0.\nAnswer: -85, 2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 17*u**2 + 29*u - 16. Let i(l) = 4*l**3 - 52*l**2 - 89*l + 49. Let t(d) = -2*i(d) - 7*o(d). Let b be t(-13). Solve -7 - b = 2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95 - 2*l + 387 - 674 + 7*l**2 - 3005.\nAnswer: 7*l**2 - 2*l - 3387","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 13, 2\/7, 2\/13, -1\/242, -5\/3, -3?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -184*h**4\/7 + 9294*h**3\/7 - 76472*h**2\/7 + 2760*h = 0.\nAnswer: 0, 6\/23, 10, 161\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**5 + 4*l**4 + 1352205*l**2 - 467793588*l.\nAnswer: -40*l**3 + 48*l**2 + 2704410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from giusa. Give prob of picking 1 u, 1 a, and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 4. Let u be i(3). Suppose 2*p - 5*n = -25, -u*n + 4 = 5*p - 21. What is the nearest to 3 in -0.5, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 6\/7*t**4 + 6\/7*t**3 + 0 + 0*t + 2\/7*t**5 + 2\/7*t**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99 and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/280 and -209\/49560.\nAnswer: 49560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 583 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**2 + 76*y + 15. Determine t(-25).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/140665 and -3\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -319*g + 644*g - 337*g - 36. Put -7, g, 3, 57, -4 in descending order.\nAnswer: 57, 3, g, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 2*f - 2. Let b(g) be the first derivative of 0*g**3 - 19 + 3*g - 3\/2*g**2 + 1\/4*g**4. What is 2*b(i) + 3*v(i)?\nAnswer: 2*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 10 = 2*r + 2*r, 5*r - 5*z - 5 = 0. Suppose 0 = 5*d - l - 2*l - 31, r*l + 18 = 2*d. What is the common denominator of 1*(d - (-2 - -6)) and -7\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*x - 3641 + 4345 = 0 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1396 in -4, -54\/241, 3, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13583, -11283, -8983, -6683?\nAnswer: -4383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n**3 + 2591*n**2 - 451*n - 7999. Calculate v(-432).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2\/(-24) + 5 + 7399\/84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 912210 * 0.05.\nAnswer: 45610.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of d**7\/210 + d**6\/6 + 69*d**5\/100 - 87*d**4\/4 - 45*d**3 + 3326*d. Solve b(k) = 0 for k.\nAnswer: -15, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -18*q - 227. Calculate the remainder when 677 is divided by k(-18).\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -13\/4 (b) -0.2 (c) 68.6 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2\/3 - 12140*d - 36424\/3.\nAnswer: 4*(d - 9106)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 5:02 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76 and 1577.\nAnswer: 6308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmxmnmlcnmcn. Give prob of sequence nnlc.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 9 + 18 = -2*b, 5*t = -4*b - 75. Let p = b + 16. Let k be 0\/p*11\/22. Which is greater: k or -1\/10?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6049 + -6051. Which is the fourth smallest value? (a) 0.015 (b) -1\/6 (c) i (d) 4 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552322*((-6)\/60 - (-3)\/5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 10, -3*f + 8 = -4*w. Suppose f = 2*j - 2*q - 10, -5*j + 2*q + 23 = -2*q. What is the nearest to j in 1\/6, 0, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u + 0*u + 4*u + (u + 3*u + 3*u)*(29 - 8 - 49) in the form y*u + d and give y.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v - 2. Let a = -17 + 41. Let j(p) = -2*p - 2. Let i be j(-6). Suppose 6*g + a = i*g. Let s(f) = f + 1. Give g*s(u) + 2*n(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*o**2 + 110*o**2 + 1526 - 1535 to p*o + z*o**2 + g and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -4, 7, 5 in descending order.\nAnswer: 7, 5, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 11:37 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3 (b) 0 (c) -0.3 (d) -0.45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -287, -296, -303, -308, -311, -312, -311?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.42535643 rounded to 2 dps?\nAnswer: 2.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -49711470 and 6?\nAnswer: 49711476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 11?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 23. Suppose -5*v + 1113 = z, -2*v - s*z + 444 = -2*z. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 2*w**2 - w**2)*(-11*w**2 + 2*w**3 + 2*w**2 + w**2) + 2*w**5 + 6*w - 2*w - 2*w.\nAnswer: 6*w**5 - 16*w**4 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 5841*j = 5840*j - 5, -4*t - 2*j = -2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13325489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 197768 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-6)\/q*q)\/q)\/q**(-2\/9)*q*q**1*q**(2\/5) assuming q is positive.\nAnswer: q**(-152\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xa when two letters picked without replacement from {h: 9, x: 1, a: 8, z: 1}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115 + -66. Let i = k - -4. What are the prime factors of i?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-8)\/(-66)))\/(2538\/6768)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -12225827?\nAnswer: -12225828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/230 and 121\/108.\nAnswer: 12420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18627*j - 18775*j = -4440 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 6016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40071 and 1335700.\nAnswer: 4007100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from {w: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a minute?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 2454909*m + 157101888.\nAnswer: 3*(m - 818239)*(m - 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6)\/(-6 + (-240640)\/(-40112)) is divided by 132?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 597019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 3:30 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/30975 and -91\/495900.\nAnswer: 204806700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-18 + 28 - 12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 133 and -84.\nAnswer: -11172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 706099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 45 + 36 = 5*v, -v = -2*y - 18. Suppose n = -10 + v. Let h be (-28)\/(-5)*(-5)\/(-2). Solve -4*i + 18 = n, -5*i + h = s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 + 260*b**2 - 6934*b - 14924.\nAnswer: -2*(b - 91)*(b - 41)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2448) - sqrt(2448)) + -1)*-5*2 + (-1 + (sqrt(2448) - (sqrt(2448) - (sqrt(2448) + 1 + -3)))*3)**2.\nAnswer: -624*sqrt(17) + 22091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 1112?\nAnswer: 5560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 13*c - 2. Let r be i(3). Suppose 106 = 6*g - 3*g - 5*p, -g = -2*p - r. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + (sqrt(72) - sqrt(72)*1)*-2 + (sqrt(72) - 1*(0 + sqrt(72))) + -4 + 0))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -339 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4ee - 45e?\nAnswer: -95d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 2*p**2 - 5)*(-23*p**2 + 20*p**2 + 81*p**2) + (p - p - 3*p)*(-3*p**3 - 3*p + 3*p) as g*p + w*p**3 + m*p**2 + y + x*p**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oeu when three letters picked without replacement from ueueeeeeeeeeeeooeoee.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 74929 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: Solve -5*c - 476 = -3*f - 555, -3*c + 31*f = -719 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -6. Suppose 0 = t*q - q - 20. Let z(c) = c**2 + q - 10. Let y(g) = -2*g. Calculate z(y(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26395954 a multiple of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**5\/7 - 414*y**4\/7 + 3531*y**3\/7 + 3618*y**2\/7 - 6804*y - 47304\/7 = 0?\nAnswer: -146, -3, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -3*u + 87, 5*v = 2*u + 3*u - 105. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/11 + 6*s**2\/11 + 8*s\/11 - 24\/11.\nAnswer: -2*(s - 3)*(s - 2)*(s + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1429 divide 2982577362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1620, 2, -21 in increasing order.\nAnswer: -1620, -21, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5700000 rounded to the nearest one hundred thousand?\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-10))\/(21*10\/(-150)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 24\/11, -1\/3, 0.15 in ascending order.\nAnswer: -1\/3, 0.15, 1, 24\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 361189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 139 = 115. Let g = -50 - u. List the prime factors of g.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 6*h**2 + 0*h**2 - 2*h**2 + 0 + 0 + (h + h - 3*h)*(-1 + 2*h + 1) - 5*h**2 - 3*h**2 + 4*h**2)*(3 - 3 + 4).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.37*1.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - (2 - -1)\/(-1). Suppose 4 = 3*g - n. Suppose 3*q - 4 - 13 = -4*r, 0 = -4*r + g*q - 4. Solve r*i = -2*i + 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*y - 15 = 132*y - 4*u, 3*y + 4*u = 29 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 5. Let r(h) = -1. What is k(m) - 3*r(m)?\nAnswer: -m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22833, 22826, 22819, 22812?\n\"Answer: -7*h + 22840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 + -54. Suppose b = -5*s + 2. Let i be s\/(-15)*(5 + 50\/(-15)). What is the third smallest value in 1\/3, -5\/6, i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z. Let u = 140 + -138. Let q(v) = -2*v**u + 4163*v - 4163*v. Give q(a(h)).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2083 - 347 = 8*p. Let z(m) = -p*m - 5 - 2 + 221*m. Does 5 divide z(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 369 and 451.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 8:53 PM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*t + 520 = -2353. Solve -409*u + 2*b = -406*u + 1, 0 = 4*u + b - t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/(-2))\/((-177060)\/(-320070))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(-1\/3)\/f))\/f*f)\/f*f**(2\/9))**(-3\/7)*(f**(-2))**(-2\/11)\/(f**(-4\/3)*f*f\/f**(-4)) assuming f is positive.\nAnswer: f**(-1049\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m - 46. Let l be k(-24). Suppose -2*z - 2*f - l*f = -17417640, -3*z - 4*f = -26126466. Let p = -5391174 - z. Round p to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 0 + 28*b + 0*b**5 + b**2 + 0*b**3 - 1\/10*b**6 + 0*b**4. Differentiate h(k) wrt k.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 551476?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 417371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*a - 15 = 0, y + 3*a = 6*y - 15. Solve 0 = y*j - 0*s - 3*s - 18, 0 = j + 3*s + 2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 12 - 3*(-297)\/110)*(-1)\/(-3)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 14\/(-16))\/((-6)\/(-4)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*n = 23*n - 935 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108017979 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 244\/(((-1)\/1)\/(-1)). Let b be (57\/m)\/(0 - 1). Let s = b + -1\/61. Is 0.4 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(400\/48)*3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2959999?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 7 + 4 + m**4 + (-3*m**3 + 0*m + 0*m)*(412 - 412 + 344*m).\nAnswer: -1031*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31*l**2 + 16*l**2 - 19*l**2 + (-l + 1 - 1)*(2*l + 2*l - 3*l))*(2*l**2 - 2*l + 2*l) to p*l**2 + d*l + t*l**3 + h + y*l**4 and give y.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 97*g + 393. Let u be o(-4). Let v(z) = z**3 - 5*z**2 - 3*z + 11. Let p be v(5). Let n be -2*2 - 0\/p. Sort 0, -3, u, n in descending order.\nAnswer: u, 0, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -62 (b) -12 (c) -0.4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 2\/9 (c) 2\/17 (d) -4 (e) 172\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1783*h + 1758*h - 425 = 0 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -1)*4 - 1. Let v(u) = 18 + 16*u + 32 - 4 + 43 + 35. Let a be v(-8). Sort 0, -5, a, r.\nAnswer: -5, a, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*j + 5*j - 16*j)*(8*j + 17*j + 7*j).\nAnswer: -736*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3003 - -2?\nAnswer: 3011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.58 + 0.48. Which is the nearest to 4? (a) -2\/17 (b) 0 (c) 4\/3 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**5\/2 - 7029*m**4\/2 - 6335941*m**3 - 558597696*m**2 + 1142567280*m = 0. Calculate m.\nAnswer: -3468, -95, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 9:08 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (1*-4)\/(-19 + 20). Solve 8*l + 0*l - y = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in micrometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*m - 33*m + 9093 + 47637 = 0. Which is the third smallest value? (a) 0.4 (b) m (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 5. Let s(r) = r**2 - 16*r + 23. Suppose -13 + 32 = v - k, 0 = 3*v + 3*k - 27. Let b be s(v). Do j and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42402031?\nAnswer: 7, 29, 208877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 62.53481g?\nAnswer: 62534810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**5 - 9*f - 13. What is the derivative of r(d) wrt d?\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/6 + 391\/(-510). Suppose -5*y = -r + 14, -2*y + 4*r - 25 = -5. What is the third smallest value in 0.4, y, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**5\/3 + 15388*l**4\/3 + 286195*l**3 - 107722*l**2\/3 - 6102472*l\/3 - 1717184 = 0?\nAnswer: -15332, -56, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from {m: 2, h: 1, n: 1, f: 5}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z. Let l(y) = 16303 - 16303 - 6*y**2. Calculate k(l(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.961881 millilitres in litres?\nAnswer: 0.006961881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3 - 7 + 3 + k**2 + 0. Let w be c(2). Suppose w*z + z = 108. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 99065157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, u: 11}. What is prob of picking 1 c and 1 u?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00664469 to 4 decimal places.\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 9*j - 4. Let n be t(5). Solve -7*z = 4*r - 3*z - n, 0 = -2*r - 5*z + 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 984 and 9512?\nAnswer: 28536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 11. Find the first derivative of -4 + 0 + 4 + y - 3*a**4 wrt a.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 919674000 to the nearest 1000000.\nAnswer: 920000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b**4 + 2*b**4 + 2*b**4)*((0*b + 2*b + b)*(-1 + 1 - 1) + 2*b + b - 5*b).\nAnswer: 10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3503b (base 13) to base 2\nAnswer: -10111100111001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 1160*d + 2. Let p(z) = -11*z. What is s(p(k))?\nAnswer: -12760*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**3 + 3*g**3 + g + 49 - 51 + 2*g**2. Let m be f(2). Let o(d) = -6*d - 3. Let u be o(m). Put -9, -1, u in descending order.\nAnswer: -1, u, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - -1)*(-3)\/(-4). Let y = 6 - h. What is the remainder when 10 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4727718.\nAnswer: 2, 3, 262651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(13*l - 7*l - 3*l)*(l**3 + l**3 + l**3 + (l**2 - 2 + 2)*(0*l + 6*l + 3*l)).\nAnswer: -72*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/12)\/((-1)\/(-3)). Let h be 0\/(-1*(-2)\/p). Suppose -4*s + h = -20. Solve 5*d = -5*f, -f = -s*d - 2*f for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/((-3*sqrt(88))\/sqrt(11)).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48343 plus -2.53?\nAnswer: 48340.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -13, 2\/9 in descending order.\nAnswer: 2\/9, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.03 (b) -0.3 (c) 1\/4 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 4672 = 15*m - 89*m for m.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 72513.43 weeks in nanoseconds?\nAnswer: 43856122464000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*s**3 + 59*s**3 - 42*s**3 + 68.\nAnswer: -4*s**3 + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 619 is divided by 125.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/24 and (9755\/1220 - 8)*-1*17?\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 4. Suppose -4*r + 28 = -h*r. Calculate the lowest common multiple of r and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212 - 26*o - 416 + 22*o + 230.\nAnswer: -4*o + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-1.8.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6*(-2344)\/36*3\/(-1)?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 11*c + 4. Let r be f(-11). Suppose -3*b + r*l = -21 + 5, 20 = b - 5*l. Suppose b*s - 89 = -s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m. Let l(q) = -68*q**2 + 51*q. Determine s(l(t)).\nAnswer: 272*t**2 - 204*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1093 = -334*y - 84*y + 781*y - 3634 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 11:03 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -10577 and 36.7.\nAnswer: -10540.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 9260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6027669*f**3 - 3*f**2 - 19700205*f.\nAnswer: -36166014*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 9*x - x - 82*x**2 + 18 + 83*x**2. Let w be f(-4). Solve p + w = -a, 0*p = 3*a - 4*p + 13 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*s - 2 - 113 = -4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (2 - (0 - 1)) + 23502 + 11 - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 9:13 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.4918 and -0.2.\nAnswer: 4.2918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2734*l = -2762*l - 420 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -11100100110010?\nAnswer: -11100100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -84, -164, -244, -324, -404?\n\"Answer: -80*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -319 - -155. Let z = m - -163.842. Round z to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5438331*f**2*s - 2759*f*s - 4*f wrt f.\nAnswer: 10876662*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 16*k**2 - 536*k + 1051. What is n(15)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 179174*o**2 - 6*o**3 - 96 + 2*o**3 - 179171*o**2 + o**3 as k*o**2 + b*o + j*o**3 + a and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d - 8. Suppose -3*f + 9 + 6 = 0. Let o be a(f). Let i(z) = 2*z**2 - 3*z**o + 6 - 1 - 6*z + 2*z**2. Calculate i(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 15\/3)*24. Suppose 245 = -5*g + 4*t, -2*g + 2*t + 5 = 103. Which is bigger: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 22*n**3 - 6*n**2 + 2*n + 6. What is d(2)?\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 13, 2, 8, 7, 3 in decreasing order.\nAnswer: 13, 8, 7, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 0.2, 13, 5, 7491?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 932073429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1068 + -1066. Solve -4 = 4*z + m*i, 3*i - 8 + 3 = 5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 8:51 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.9 - 0.1. Let d = 32036 - 32035.98. Put -1\/8, d, o in ascending order.\nAnswer: o, -1\/8, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -733 - -738 - (-10 - (0 - 1))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/118 bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65\/2 + -133\/4. Let c = 9 - 9. What is the nearest to -1 in -2\/5, c, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -205 * 2\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -0.421.\nAnswer: 1.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 9:46 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -65a + -4067c?\nAnswer: -40cd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 u when three letters picked without replacement from yuiflltiulii?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 116\/9*13815\/6140?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 + 22 + (-3 + 2 - 2)*(-2 - 1 + 1) + 3 - 3 - 1)*(0 + 0 + v)*(3*v + 4*v - 5*v) to the form p + r*v + g*v**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4443 a factor of 987727773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26189472599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 65457643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 177 (b) -3 (c) 3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 194.4 * -0.1\nAnswer: -19.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/10 of a second?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -71700 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from osuossesyeiseo. Give prob of picking 1 i, 1 e, 1 o, and 1 y.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a. Determine c(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 9*i - 12 = 0. Let v(u) = -2*u - 5. Let x(y) = 0 - 4 + 3. Calculate i*x(w) - v(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 0.2 (c) 4 (d) -26 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 3*20\/12. Let p be 0\/(-1) - (4 - -1)\/f. Let h(q) = q + 1. Let n(z) = 5*z + 5. Determine p*n(r) - 6*h(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.08 + -221.52. Let k = j + 227. Which is the nearest to -1? (a) k (b) 3 (c) -6\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65523382 - -102077?\nAnswer: -65421305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -504450\/7 or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*j**2 + 8*j**2 + 12*j**2 + 24*j**2 + 11*j**2 - 4 + 8*j**2.\nAnswer: 10*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 6. Let b(w) = -6*w**2 - 18*w. Let g(f) = 19*f**2 + 55*f. Let v(y) = l*g(y) - 7*b(y). Let v(h) = 0. Calculate h.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and (((-210)\/25)\/6 + 2)*15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 11*l**3 - 2795*l**2 + 1045*l - 1. Let c(p) = -2*p**3 - 2*p**2 + p. Let x(o) = 6*c(o) + h(o). What is the second derivative of x(d) wrt d?\nAnswer: -6*d - 5614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k**3)))\/k**(3\/10))\/(k*k\/k**(-1\/4)*k)**43 assuming k is positive.\nAnswer: k**(-2721\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -19*j - 34. Let o be t(-9). Solve o*i = 136*i + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) 3 (c) 0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8326 + -8346. Is -31 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 7. Suppose 2*n + 19 = f*n. What are the prime factors of n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 3*v - 8*v)*(v - 1 + 1)*(3*v - 3*v - v**2).\nAnswer: 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 13*b**3 + 69*b**3 + 7.\nAnswer: 56*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4145 + -4005. Solve -5*h - 23*h = o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 + -64 - -18 - 20\/2\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 11, o: 3}. What is prob of sequence ook?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.160236 * -0.2\nAnswer: -0.0320472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 9*h**2 - 34*h + 79. Does 27 divide d(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68743.8641 rounded to the nearest ten?\nAnswer: 68740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1500 and 203100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 722 in increasing order.\nAnswer: -4, 5, 722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*o + 24 = 3*c, -3*c - 5*o + 28 = 0. Calculate the common denominator of 47\/11 and -3 + 22*c\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(192)*-5 + sqrt(192) + sqrt(192) + 4 + -2)*-4)**2.\nAnswer: -9216*sqrt(3) + 995392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 293\nAnswer: 29.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times 405.627\nAnswer: -8.11254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 28. Let y = -194 - -194.5. What is the closest to 1 in -3, y, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 4*v**2 + 6*v + 10. What is the smallest common multiple of o(-5) and ((-18)\/(-4))\/((-2)\/(-4))?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4*(-2562 + ((-108)\/3)\/(-6) + -10).\nAnswer: 2, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/2)\/((-39)\/(156\/12))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t + 19. Let b be c(-17). Suppose -2*i + 8 = 3*j + j, -b*i = j - 5. Suppose i*p + p + 69000 = 0. What is p rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0.07, -1, 6\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1*(-6)\/(-27)*1)\/4)\/(340\/(-153)).\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -9, -27, -53?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -241*b**2. Let r(l) = -4*l. Determine r(n(a)).\nAnswer: 964*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3\/5, 6160.\nAnswer: -3\/5, 0, 6160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23\/91805 or -1?\nAnswer: -23\/91805","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Add together -2247 and 98.5135.\nAnswer: -2148.4865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13883781 is divided by 43936.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11582 is divided by 498.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -147, 319, 1383, 3039, 5281, 8103?\n\"Answer: -n**3 + 305*n**2 - 442*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 1039296.\nAnswer: -1039296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11\/108 (b) -0.5 (c) 40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + a + 16. What is the remainder when o(6) is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 8*s**2 - 8 - 4*s**2 - s**2 + s**2 + 0*s**2 - 3*s**2 + 2*s**2 + (-2*s**2 + 4 - 4)*(2 + 2 - 3) - 3*s**2 + 2*s - 2*s.\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 117917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 592411.8 nanoseconds to microseconds.\nAnswer: 592.4118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4913084 and 726.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 227, 445, 663?\nAnswer: 881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 3, 1277?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ennegnieeeghoiegin. Give prob of sequence iig.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -373 by -304379.\nAnswer: 373\/304379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5379 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 8*d**2 - 6*d + 10. Let h be s(-7). Suppose u + l - 259 = 3*l, -4*l = h*u - 827. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((60\/(-80))\/((-48)\/(-1216)))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*r + 5*r + r**5 + 3*r wrt r.\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 9427?\nAnswer: 9412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -359 <= -366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (-1 + 1))\/(-2). Suppose 0 = -4*g - 2*r + 20, l = r + 1 + 1. Suppose -12 = g*y - 7*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6784 and 583.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**5 + 3*f**4 + 4*f**3 = 0. Calculate f.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77 + -51. Calculate the remainder when r is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6002007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/2)\/((-630)\/120))\/(2*44\/14).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5445 and 6534?\nAnswer: 32670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 209, 196, 195, 212, 253, 324, 431?\n\"Answer: l**3 - 20*l + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11241 and 369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5071.9 - -5072. Which is the nearest to 0? (a) 5\/4 (b) -0.19 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 775475560?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4826 is divided by 2639?\nAnswer: 2187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 3*y - 74 = -3*d - 0*d + 9*y, 37 = 10*d - y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 102 = 4*d. List the prime factors of d.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 173 + -5?\nAnswer: 16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 16*v**3 - 3*v - v + 5*v. Calculate the remainder when 30 is divided by q(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by 31119619.\nAnswer: -19\/31119619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8119, -17678, -27237?\n\"Answer: -9559*t + 1440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/7 or 292\/1377?\nAnswer: 292\/1377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*t + 796 = 132*t + 187. Solve t*y - 14 = 4 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -219*1\/(-3) + 1. Suppose -96 = -2*d - 4*s + 8, y = 2*d - 2*s. Calculate the greatest common divisor of 14 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**5\/20 - 3*r**4\/2 + 19*r**3\/6 - 2*r**2 + r. List the prime factors of h(17).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*a**2 + 1 + (-39*a + 14*a + 129*a + 126*a)*(7 - a - 7) in the form r + p*a**2 + b*a and give p.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*w - 17024 + 4620. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -36. Let j = 6 + q. Put -5, j, -1 in decreasing order.\nAnswer: -1, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t**2 + 47*t - 1161. What is the ten thousands digit of w(-76)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, v: 12}. Give prob of picking 3 e.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1*(-8)\/40*1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 342 or 345?\nAnswer: 345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7428 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, w: 4}. Give prob of picking 1 w and 2 f.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -13.31. What is the smallest value in 3\/8, v, 4\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i - 15. Let w be y(-13). Suppose -h + w = h. What is the units digit of 942\/24 + (-3)\/h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2122102044 (base 5) to base 4\nAnswer: -101013221132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429 = 299*q - 310*q. Calculate the remainder when q is divided by 32.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aapphpp. Give prob of sequence ha.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1932 divided by 4?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 5 + 0*j**2 + 0*j**2 - 6*j. Calculate the common denominator of x(4) and 3\/(6\/(-1))*2522\/(-52).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/2*(-39)\/(2340\/(-7824)). Which is smaller: r or 324?\nAnswer: 324","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000110100101100010 + 0?\nAnswer: 1000110100101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -100 - -100.001. Let s = 0.601 - q. Let t = s - 0.1. Sort t, 5, 1\/33, 2 in descending order.\nAnswer: 5, 2, t, 1\/33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -911, 5, -12.6, -22 in descending order.\nAnswer: 5, 3\/8, -12.6, -22, -911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2635\/234 + 85\/13. Calculate the common denominator of 119\/90 and z.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2347851 or 2347911?\nAnswer: 2347851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**4\/12 + b**3\/6 + 10*b**2 + 3*b + 5. What is f(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqrfqmqqjrdqq. Give prob of picking 1 f and 1 j.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 8749 - 4020 = 3*u, 2*s - 5102 = 4*u. Let j(i) = s + 1089 - 1065 - i + i**2. Is j(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -256*b - 1841. Calculate f(-6).\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l. Let t be (9\/(-6))\/((-1)\/2). Suppose -2*a + a = -t. Let z(n) = 2*n**2 - a + 3. Give z(v(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -22*d - 1. Calculate h(2).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 35, 1, 2, 4, -49, -3 in descending order.\nAnswer: 35, 5, 4, 2, 1, -3, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -19, -7 in descending order.\nAnswer: 28, -7, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 18084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -46521.08959 - 1.2?\nAnswer: -46522.28959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 15. Let d = -1 + h. Determine v so that 0*v + 0 - 2\/5*v**4 + d*v**2 + 2\/5*v**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34.266 + -5\nAnswer: -39.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.7449 to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36850.\nAnswer: 2, 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -1805*k - 556015. Give f(-308).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -14*h**2 + 5\/3*h**3 + 0 - 23*h. What is the smallest common multiple of 118 and b(3)?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4145 is divided by 2067.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 69163261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 90.4 - 38. Let k = -52.39352 + t. Round k to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 488 = 2*z + 2*z, 4*z + 3*h + 456 = 0. Let k be z\/2 - (-24)\/(-48). Round k to zero decimal places.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1970 (base 15) to base 7\nAnswer: 22023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -r - 15, 4*r + 3*g - 5*g - 6 = 0. What is the first derivative of 6*a - 5*a - 4 + r + 1 wrt a?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44*g**2 + 43*g**2 - 101*g**2 - 2 - 4*g**5 + (-3*g + 2*g**4 + 3*g)*(g + 5*g - 3*g).\nAnswer: 2*g**5 - 14*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -42, -80, -130?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14329 - -14341. Solve 0 = l*a - 632 + 620 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -10*j + 121. Let v be z(12). Which is the closest to -1? (a) -1\/4 (b) -0.012 (c) v (d) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**3 + 3*y**3 + 3*y**3)*((3 + 1 - 3)*(-1 - 1 + 1) + 3 - 3 + 2).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 101*f**4*x + 7*f**4 - f**3*x - 6*f**3 - 164*f**2 - 27*f*x + x wrt f?\nAnswer: 2424*f*x + 168*f - 6*x - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 12*f + 8. Let d = 6 + -14. Let q(v) = 8*v + 5. Let i(l) = d*q(l) + 5*t(l). Let w(z) be the first derivative of -z**3\/3 - 3. Give w(i(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1508109 and 19084.\nAnswer: -1489025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -8. Let j = -18 + h. Let d = -9 - j. Sort 2, d, 0.12.\nAnswer: d, 0.12, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1204)\/(-258)*(1 + 1559\/7). What is the greatest common divisor of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*u**4 + 2052*u**3 - 17784*u**2 - 11152*u + 8736 = 0 for u.\nAnswer: -1, 6\/13, 14, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/3 in 1.8, 5, 262?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 1. Let y be v(4). Solve -2*i + 15 = y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5*sqrt(104) + sqrt(104))*-2)\/((-1*sqrt(800) + sqrt(800))*-6 - sqrt(800)).\nAnswer: -16*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 203.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 + 79 = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*f + 18 + 12, 2*p = 2*f - 20. What is the greatest common divisor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6196, 7782, 9368, 10954, 12540?\n\"Answer: 1586*d + 4610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3311 + 31?\nAnswer: 10002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, w: 11, x: 3, f: 3}. What is prob of picking 3 f?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*b**6 - 252*b**4 - 154*b**3 - 259537*b**2 - 19*b?\nAnswer: 3120*b**3 - 6048*b - 924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 6:05 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9596 + 41620 = 2*x. Is 22 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 30. Let k = v - 9. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15778 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -8, 2\/17, 0.12?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -14. Let y = m - -15. Suppose -3*b = -p - 1, 3*b - 5*b = -p. Which is bigger: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 10:26 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.570799144482 + 468407.880808944482. Let c = 468404 - u. Let t = 0.31 + c. What is t rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000303828 to five decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, r: 12}. What is prob of picking 1 b and 1 r?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17717869 is divided by 632781.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 2:45 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 1076.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10421099, 10421100, 10421101, 10421102?\n\"Answer: n + 10421098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 19. Let w be (q - -4 - -1)*-34. Let x be (-5424)\/(-64) - (1 - 10\/8). Calculate the highest common factor of w and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbvb when four letters picked without replacement from bgbvbbbvvbvgvbbvvg.\nAnswer: 49\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41565?\nAnswer: 3, 5, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 11 (b) -0.3 (c) -3\/17 (d) -0.1 (e) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 4*f - 5*f)*(0*f**3 - 3*f**3 + 4*f**3)*(-10 - 2 + 1).\nAnswer: 55*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.5 - -1. Let d = h + -3. Let t = 18 + -18. Sort -4, t, d.\nAnswer: -4, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j + 5. Let i(z) = 2339*z + 549. Let o(c) = i(c) - 6*m(c). What is the first derivative of o(d) wrt d?\nAnswer: 2369","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2. Let g(b) = 1420*b + 78. Let k(z) = -158*z - 9. Let v(y) = 6*g(y) + 52*k(y). What is x(v(w))?\nAnswer: -92416*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 50*p**2 - 144*p + 84. Let n be a(-47). Solve 250 = -5*o + n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13606942 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 5*n + 22 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = r - 65, 0 = -3*g + 2*r + 54 + 5. Find the second derivative of 3*h**5 + 12*h + 10*h - g*h wrt h.\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**2 - 12*n. Let s(g) = g. Let x(z) = h(z) + 12*s(z). Determine u, given that x(u) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 a when two letters picked without replacement from lxklxakklx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 326\/9 - 26\/117. Suppose -2*s + 144 = 4*t - 6*s, -3*t + 2*s + 107 = 0. Calculate the remainder when t is divided by (-38)\/((-9)\/(n\/8)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24414?\nAnswer: 2, 3, 13, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.586333cm to micrometers.\nAnswer: 75863.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 171325 and 40425.\nAnswer: 3597825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 - 3*i - 1. Let u(g) = 13*g**2 - 17*g - 22. What is -5*o(z) + u(z)?\nAnswer: 3*z**2 - 2*z - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -34, -49?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100109 divided by -4.\nAnswer: -100109\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 10)*(-2 + 1). Let b be (-1)\/2*-6 + (12 - h). Calculate the highest common divisor of b and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -399, -911?\nAnswer: -911","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40.7 - -21.5. Round u to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.3 - 4. Let i = 0.2 + c. Let g be (2 + -1)*14\/56. What is the closest to 1 in g, i, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 83 - (0 + -4) - 5. Suppose -2042 + t = -4*l. What is the remainder when l is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 992539953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2212 + 11040?\nAnswer: 13302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 7. Suppose -3*v + u + 9 = 0. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 + 16. Is 2 - s\/(-5) - -88 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -118\/175847 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -139*u - 14. Let c be n(-2). Let h = 815 - c. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + -14 - -18) + 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 + 49 - 34 + 68*i**2 - 11 - 46 to the form u*i + g*i**2 + j and give j.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*l + l**3 + 52666*l**2 + 20 + 52665*l**2 - 105334*l**2 to p + o*l**3 + d*l + f*l**2 and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -144 + -366502?\nAnswer: -366646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, w: 2, o: 1}. What is prob of picking 2 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2120*i**5 + 514*i**4 + 8484*i**3 - 2056*i**2 - 16*i = 0. What is i?\nAnswer: -2, -2\/265, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -28030, -56056, -84076, -112090, -140098, -168100?\n\"Answer: 3*f**2 - 28035*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-405)\/(-12) - (-24)\/4)\/(248\/(-32) + 7)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 671 and 539?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q + 14. Calculate the remainder when 41 is divided by m(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5940*u - 66200. What is w(-11)?\nAnswer: -860","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*f**4 + 612*f**2 - 2*f - 70446 wrt f.\nAnswer: -456*f**2 + 1224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5*b + b + 2*b)*(b - 3*b + b) + 3*b**2 - 7*b**2 + 3*b**2 + 15*b**2 - 9*b**2 - 34*b**2)*(-3*b + 2*b - 5*b) to r*b**2 + p*b + h*b**3 + f and give h.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2751922532 to the power of 1\/2, to the nearest integer?\nAnswer: 52459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 703.864 decades?\nAnswer: 7.03864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*d + 20*p - 23*p, -4*d + 3 = -5*p. Suppose -s + 2*b = -559, 5*s = d*s + b + 1672. Is 40 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 11. Let n(z) = -3*z + 1. Let i be n(d). Suppose -3*u + i = -u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + sqrt(363)*1 + -5 + -4*4*(1 + sqrt(363))).\nAnswer: 32 + 330*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 719 is divided by 122.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103 + 1300?\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 42\/(-46) - 1274\/(-161)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gx when two letters picked without replacement from xqexdqxxxxgqgqx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8040878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lq when two letters picked without replacement from {q: 6, f: 1, x: 1, g: 2, l: 10}.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32.03 - -29.23. Sort s, -0.3, -2\/9, -1\/9 in increasing order.\nAnswer: s, -0.3, -2\/9, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -37577 and 0.131198.\nAnswer: -37576.868802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7538754?\nAnswer: 2, 3, 547, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) 1.1 (b) -0.03 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 136411937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 16*a = 5136. What is the third derivative of 3 - 3 + 1993*m**4 - 1816*m**4 + a*m**2 wrt m?\nAnswer: 4248*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (96\/448)\/((-42)\/8)\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 11 = 5*l. Suppose -l*c + 37 = 4*f, -5*c = 2*f - 11 - 20. Solve 0 = -f*p + 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102182870 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.1 - -3. Suppose -r - 1 = 1. Let o be 3 - (-92)\/72*r. What is the third smallest value in x, o, 2\/17?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d. Suppose 5*g = 5*m + 50, 3*g + 48 = -4*m - 20. Let h(f) = -f**2 - 14*f + 4. Let n be h(m). Calculate c(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-4 - -8) - 48) + 34 + -21?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4729558*a**2*o**3 - a**2*o + a + 162*o**3 - 7254 wrt a.\nAnswer: 9459116*o**3 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 + -53.9. Let n = -0.05 - -0.75. Let k = 0.3 + n. Which is the closest to z? (a) 5 (b) k (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 1 + 10*n**3 - 6)*(-4*n**2 + 3*n**2 - n**2).\nAnswer: -20*n**5 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 21388000 to the nearest one hundred thousand.\nAnswer: 21400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (78\/8)\/13.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31918681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 1.891?\nAnswer: -2.391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6016 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119444, -479126, -1078600, -1917866, -2996924, -4315774, -5874416?\nAnswer: -7672850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 280860, 561576, 842304, 1123050, 1403820?\n\"Answer: w**3 + 280709*w + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 - 6*y**3 - 276*y**2 + 1494*y - 2079.\nAnswer: 3*(y - 7)*(y - 3)**2*(y + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -bab6 (base 14) in base 3?\nAnswer: -1122022110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 2*x - 16, -2*z - x = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7765683 - 4.\nAnswer: -7765687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3621.33 and 3?\nAnswer: -10863.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2788\/41 + -39 + (2 - 3).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**8\/840 - p**7\/84 + 7*p**6\/180 - p**5\/20 + p**3 - 10. Let i(k) be the third derivative of w(k). Let i(y) = 0. What is y?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -111011111111111?\nAnswer: -111011111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 61 = 5*g. Suppose 3*l + 0*a + 4*a = -14, 2*l - 4*a - 24 = 0. Let j(b) = -10*b + 9*b - 9 - b**l + 11*b. What is j(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23)\/(-299))\/(3383\/2587)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 13. Suppose r = -2*l + 20, 3*l - s*l = 2*r + 20. Solve 4*n = 5*n + 5*f + l, n - f - 6 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1171970837?\nAnswer: 17, 181, 380881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.165 + 0.065. Let w = -4 + 3.8. Which is the third biggest value? (a) v (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*s = -0*i, 3*i + 5*s = 31. Factor -m + 13*m**i - 16*m**2 + 2*m**2.\nAnswer: -m*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*o - 6*o**2 - 83*o.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 2*d - 92, -5*y + y + 4*d + 76 = 0. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/((-1)\/(-7) + 96\/(-525)). Let g = 411 - n. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12240518?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdd when three letters picked without replacement from tdtdtttttttt.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 3. Suppose 7*j - x*j = 48. Suppose f = -f + j. Calculate the smallest common multiple of f and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 6*f**2 + f - 4. Let n be v(6). Suppose 0 = d - 4 - n. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-490)\/28)\/((-5)\/110*-11).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 8. Let t be m(-6). Let r = t - 8. Calculate the least common multiple of r and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54036 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27848613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and 9.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 186021790 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11383, 45964, 103667, 184492, 288439, 415508, 565699?\n\"Answer: 11561*i**2 - 102*i - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w - 4*w - 3*w + 0*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-47)\/564)\/(2\/(-24))*5*(-12)\/(-380).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 1525581.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -55641208, -55641203, -55641198?\n\"Answer: 5*w - 55641213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvffvvvzv. Give prob of picking 1 v and 1 f.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 681 is divided by ((-11)\/(-7))\/(38\/798).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 + -70. Which is the third biggest value? (a) 2 (b) x (c) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 5:36 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(1\/20))\/f)\/(f**10\/f))**(-50) assuming f is positive.\nAnswer: f**(905\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/3 + 134*x - 3820\/3.\nAnswer: -2*(x - 191)*(x - 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (103*h**5 - 327642*h**2 + 327642*h**2)*(-4 + 0 - 1) + 2*h**5 - 2*h**5 + 2*h**5.\nAnswer: -513*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 5:55 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 296 - 293. Differentiate -34 + 0 - 12*d**q - 17*d**3 - 10*d**3 with respect to d.\nAnswer: -117*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 171\/1026*9\/(-2)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129422028?\nAnswer: 2, 3, 311, 34679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 337699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 2 = 18*j - 19*j, -2*s - 9 = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2175*t - 109*t = 132224 for t.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-570)\/19*2\/(-4))\/(4 + 52\/(-12))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313*y + 69 = 3255 + 3074 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*p = -184*p - 9. What is the third derivative of p*z - 59*z**3 + 50*z**2 + 51*z**2 - 97*z**2 wrt z?\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j*j**(-1\/8)))*j**(-1))**(-1\/38))**(-2\/13))**(2\/3) assuming j is positive.\nAnswer: j**(-1\/2964)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 + (-130)\/11 + (-4)\/22. Let r be 170\/(-35) - s\/(-28). What is the closest to -2\/3 in -0.4, -3, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 5, 2\/5, -1\/183?\nAnswer: -1\/183","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -3, 9\/22, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6936 = -3*f + 3*m, -10*f = -9*f + 5*m - 2348. What is the remainder when f is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.24004 + 3.24. Round k to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.836 - 0.164. What is the nearest to -1 in 2\/15, z, -0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from clrrcn. What is prob of picking 1 l and 2 r?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-122)\/(-10) + 9\/(-45). Suppose -u - j = -5*u. Is -2 + 78\/(-1 + u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 1:36 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1c2c (base 14) to base 11\nAnswer: -394a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -4*g + 14, -2*g + 4*g - 5*n = -5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 7:18 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 not equal to 1014\/205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -124.50958 + 124.41. What is v rounded to three dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 28*w - 92. Let q be t(24). Solve 4*h + 24 = q*l, -3*l = 2*l - 3*h - 22 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztzzaqqaazzazzaqqeae. Give prob of sequence eq.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 + -50)\/(1\/(-2)). What is the greatest common factor of 29 and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-63)\/189)\/(2\/(-42)). Suppose -8*r + 25940 = 5*d - v*r, 2*d + 5*r - 10353 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 26\/6)\/((-1)\/(-6)). Solve 4*a = -0*a - s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2331 (base 14) in base 16?\nAnswer: -17e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.6, 0.4, 72.1, -3\/4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/9 + (-24)\/(-6) - -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + -18. Solve -2*s + 5*z - g = -s, 5*z = 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83 - -29. Let d be (4\/12)\/((-2)\/l). Suppose 1 = 5*i - d, -59 = -3*r - i. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003858744854 to 7 decimal places.\nAnswer: 0.0000386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1288 - 1280. Suppose -n - 4*a = -f*a - 6, 0 = -4*n + 4*a + 12. Let 3\/2*k**n + 11\/4*k + 3\/2 + 1\/4*k**3 = 0. What is k?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**3 - 13*y**2 - 12*y - 19. Is s(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**2 + 1\/10*q**5 + 0*q**4 + 5\/6*q**3 + 0 + 0*q. What is the first derivative of l(h) wrt h?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 6*a**2 + 7*a - 23. Let o be s(7). What is the third derivative of 586 - b**2 - o*b**4 - 292 - 311 wrt b?\nAnswer: -1800*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(2*sqrt(9)))**2 - (sqrt(252)*-2 - sqrt(252))**2.\nAnswer: -9065\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10036582*m**2 - 27*m + 102456 wrt m.\nAnswer: -20073164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -75712 and -2.\nAnswer: -75714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 283.026\nAnswer: 113.2104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 22249, 8, -0.3, 4\/3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -j**3 - 33*j**2\/2 + 936*j + 1824. Let h(c) = 0. Calculate c.\nAnswer: -24, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1175230089.\nAnswer: 3, 11, 839, 14149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2. Let m(x) = 7*x**2 - 5*x**2 + 4*x**2. Let v(g) = -3*m(g) + 7*r(g). Let s(p) = p. Calculate s(v(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.1, 6, -0.201, 26, -1\/11 in increasing order.\nAnswer: -0.201, -0.1, -1\/11, 1, 6, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/14 and -9\/148.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -163, -2, -9 in increasing order.\nAnswer: -163, -9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4366126560.\nAnswer: 2, 3, 5, 9096097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/32 + (7474\/592 - 10). Let -2\/13*k + 0 + 0*k**x - 4\/13*k**4 + 2\/13*k**5 + 4\/13*k**2 = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 - 5\/(-5) - 0 and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5906965531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, o: 2, z: 3, f: 1, s: 2, v: 4}. What is prob of sequence uo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1720*b*i**2 - 39*b*i - 3982*b - 19621*i**3 + 30*i - 1 wrt i.\nAnswer: -3440*b - 117726*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 1. Let n(y) = -8*y - 26*y + 10*y + 73 - 41. Let z(w) = -36*b(w) - 2*n(w). List the prime factors of z(14).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 7*w + 13. Let g be q(-5). Solve -4*v - 3 = -g*n - 4, 2*n + 3*v = -12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*x = 55 - 705 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -2*u - 7*g - 103, 11*g = 13*u + 4*g - 160 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/1610984 and -37\/26.\nAnswer: 20942792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 9. Let p be y(7). Suppose p*j + 4*b = 76, -b - 43 = -j + 2*b. What is the greatest common factor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 6 + 0 + 8 - 604*v + 5157*v. Let x be o(3). Suppose c - x = -10*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.05 (b) -1\/24 (c) -0.07 (d) 0.3 (e) -5 (f) -25\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12122527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 + 23*l**2 + 17 - 6*l - 21*l**2. Calculate the remainder when v(5) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2)*y)**(-34)*y**(-1\/10)*y**(-6) assuming y is positive.\nAnswer: y**(279\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 179781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*r - 24*r - 8418. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t + 2. Suppose -10*l = -5*l + 20. Let s(m) be the second derivative of 5*m**3\/6 - 2*m**2 + 793*m. What is l*s(d) - 7*c(d)?\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.0547 (b) -41\/7 (c) 2\/13 (d) 8 (e) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -67\/141 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249*f + 3147571 - 149915890 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/201294 and -103\/2339568?\nAnswer: 123997104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 65\/9 in 2\/15, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -300, -4, 0.1, -47 in increasing order.\nAnswer: -300, -47, -4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8295*-0.1943\nAnswer: -1611.7185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2061 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37 or -118522\/3111?\nAnswer: -118522\/3111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 3*g + 16. Let s(p) = p**2 - p**2 + p**2. Let j be s(-6). Calculate the highest common factor of j and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1*5*sqrt(77))\/((sqrt(77) + (sqrt(77) - sqrt(77)*2) + sqrt(77))\/sqrt(7)))**2*-3.\nAnswer: -2100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*z**2 - 76*z**2 + 37*z**2.\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 11:01 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.6 - -12.8. Let j = -221 + 269. Sort j, i, -3 in ascending order.\nAnswer: -3, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107090.\nAnswer: 2, 5, 10709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 + 2512*x**2 + 0*x**3 - 10724*x**2 + 8212*x**2.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 692 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11000 (base 2) to base 16\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10224 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 430*l - 7*l**2 + 215*l - 110*l - l**3 + 3*l**2 in the form g + r*l + i*l**3 + h*l**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -87 (base 14) to base 4.\nAnswer: -1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69*w**3 - 307*w**3 - 263*w**3)*(-4*w**2 + 6*w**2 - 3*w**2 + 0*w**2 - 2*w**2 + 3*w**2 + (-2 - 2 + 2)*(2*w**2 + 3*w**2 - 4*w**2)).\nAnswer: 1002*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 3\/1570 (c) -1\/4 (d) 7\/3 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1536 minus -0.3?\nAnswer: -1535.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 27897960 to the nearest 1000000.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -495*q = -142*q - 233*q + 2640 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1709201222.\nAnswer: 2, 67, 12755233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-9))\/(2\/15). Suppose -3*b + 2 = -7. Suppose 0 = -2*q + h*d + 73, -b*q + 21 + 26 = 5*d. What is the remainder when q is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 6*j = 5*l - 33, -l = 4*j + 7. Suppose 4*z = 2*z. Let f(g) = 6*g - 4. Let c be f(3). Solve 0 = -5*i + m + l, z = -2*i + 4*m + c + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -6. Suppose -v + m*s + 2 = 0, -2*v + 6 = 5*s - 16. What is the greatest common divisor of v and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-438)*(-24)\/16. Let l = -152\/219 + k. Let f = 3 + -5. Which is the nearest to l? (a) -3\/2 (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d5dc59b + 4?\nAnswer: -d5dc597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 6 = 22. Suppose -3*h = 2*m + 32, -h + 2*m - o = 9. Let s be ((-8)\/h)\/((-2)\/3). Sort s, 5, 4 in descending order.\nAnswer: 5, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-41)\/(35 + -1019))\/(((-309)\/156 - -5) + -3)?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -267.6596 * 0.5\nAnswer: -133.8298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-17 - -3) + 27 + -24.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5020.363 years in millennia?\nAnswer: 5.020363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o - 11. Give t(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 870373.\nAnswer: 7, 124339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 469133 (base 12) to base 9.\nAnswer: 2120523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 215 and 8637.3885.\nAnswer: 8852.3885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*g**3 + 4\/3 + 27*g**4 + 28\/3*g + 13\/3*g**2 = 0 for g.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r**2 + 4*r + 4. Let n(t) = -6*t**2 - 3*t - 3. Suppose 33*x + 24 = 29*x + 4*v, 4*x + v + 14 = 0. What is x*n(q) - 3*a(q)?\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -50.\nAnswer: -50, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.07 - 0.77. Let t = x + 7.7. Which is smaller: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*o)*(-o + 0*o - o) + 0*o**2 + 3*o**2 - o**2 - 2 - o**2 + 2 + (-2*o + o - o)*(84 - 84 - 25*o) in the form p*o**2 + x*o + l and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3472 and 17639?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/9)*n**(-4)*n**(-3)\/(n*(n\/(n\/n**(-6)))\/n*n)*(n\/n**(-2)*n)\/(n\/(n*(n**(-5)\/n*n)\/n)*n)*(n\/n**(-1))**15 assuming n is positive.\nAnswer: n**(226\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 9*b - 12. Let i be o(8). Let s be (-1354)\/i*2 + -4. Let z = s + -12431\/90. What is the common denominator of z and -62\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + -1003?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1215931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12033 + 12062. Solve 2*u + 41 = w for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -286*l + 4 - 2*l**3 + 285*l - 5*l**2 + 7*l**2 to i*l**3 + s + q*l + k*l**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 (base 13) in base 9?\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2220 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-36) - -6038*78\/108. Suppose -4879 - m = -7*i. Does 20 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**6\/120 - 11*l**5\/60 - 7*l**4\/12 + 25*l**3\/6 + 88*l**2 + 2. Give z(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -31. Let h(g) be the first derivative of -6\/7*g - 8\/7*g**3 + 3\/7*g**4 - 2 + 10\/7*g**j - 2\/35*g**5. Solve h(y) = 0 for y.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w**0*w)*w)**(-48)*(w\/(w*w*w\/w**(-1\/4)*w))\/w**(-2)*(w**(1\/4)\/w)**(-27\/7)\/(w**(1\/11)*w**(-2\/5)) assuming w is positive.\nAnswer: w**(-72417\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 4*b**2 + 3*b + 3. Suppose -l + 5*k + 24 = -3, 2*k - 54 = -5*l. Suppose 2*n = l*n - 50. Give t(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 122 = -120 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from {a: 8, f: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-120)\/252*14\/((-2)\/(-39)*13)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 695181 = 177181. What is j rounded to the nearest 10000?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m**3 + 23*m**3 - 44*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23\/12, 1\/7, 0.4, -0.5, 1\/8 in decreasing order.\nAnswer: 0.4, 1\/7, 1\/8, -0.5, -23\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -42)*-7*18\/(-567)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 6*o. Let q be j(-6). Suppose 3*i - q = -12. Let k be i\/(-8)*(-2)\/(-4). Which is smaller: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10053044 (base 6) in base 9?\nAnswer: -476731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 632*v**4 + v**3 - 307*v.\nAnswer: 7584*v**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -683*b + 5053. What is q(8)?\nAnswer: -411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(20) - (sqrt(2880) + sqrt(2880) + -1*sqrt(2880))) + sqrt(2420)*2 + sqrt(20))\/(sqrt(4840) + 3*5*sqrt(4840) + sqrt(4840)))**2.\nAnswer: 72\/34969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (4 + (-42)\/15)*(-2)\/(-6)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/((27\/(-6))\/3). Let k(g) = -g**3 + g**2 - 2*g. Calculate k(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y**3 + 3*y. Let h(j) = 4*j**3 - j**2 + 2*j. Let p be (-1)\/((-4)\/3 + 1). Let d(f) = p*h(f) - 2*s(f). What is the third derivative of d(g) wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36 take away 0.5?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248*r - 183*r = -40*r - 1955. Solve 5*h + r = 80*m - 85*m, 2*h = -4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 7 (b) 20 (c) -4\/5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 9. Let r = 3 - z. Solve 5*k + 5 - 20 = r for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w - 1 - 1 + 4. Let d(i) = i - 1. Suppose -2*l - 8 = -2*q, -q = l - 5*l - 7. Let y(g) = q*f(g) + 6*d(g). Let o(a) = -4*a. Determine o(y(k)).\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 710466.7nm?\nAnswer: 710.4667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.3008, 3.261?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-1 - 0) - (-65 - -68).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/9, 5\/2, -4, -1\/3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2783 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: What is 5695544 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104518 divided by -184.\nAnswer: 52259\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 11:34 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*s + 20 + 23 + 20 - 67.\nAnswer: -93*s - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 6*r - 3. Let s = 86 - 122. Let z be (-12)\/42 - s\/21*-1. What is c(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -964, 363, 2556, 5609, 9516, 14271, 19868?\n\"Answer: -k**3 + 439*k**2 + 17*k - 1419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010001 + -110010110010101?\nAnswer: -110011110100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(((s*s**(1\/4)\/s)\/s)\/s*s*s))**(-2\/27)*(s**(2\/7))**(4\/25))\/((s**(-4))**37)**(-35) assuming s is positive.\nAnswer: s**(-16317031\/3150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 107*m + 1938. Let p be j(-18). Sort -1, p, 4, 6.\nAnswer: -1, 4, 6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50 by 756.\nAnswer: -25\/378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by -60.\nAnswer: 29\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 223764?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.1 - 13. Which is the smallest value? (a) 0.4 (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491716 is divided by 5465?\nAnswer: 5331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**2 + 12*a. Let j(b) = -b**2 + 5*b. Let m(n) = -12*j(n) + 5*o(n). Let h(l) = -39*l - 175 + 175. What is h(m(f))?\nAnswer: -78*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-25)\/c**(-4\/5) assuming c is positive.\nAnswer: c**(-121\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -270 + 402. List the prime factors of f.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 10*z - z + 15*z + 36 = 0, 0 = 3*z + 18 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -297, -304, -315, -330?\n\"Answer: -2*y**2 - y - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -13 - 15. What is the units digit of (-104)\/(-182) - 1823\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**2. Let t(c) be the first derivative of -c**3 - 1. Give t(v(z)).\nAnswer: -48*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2062451 (base 10) in base 3?\nAnswer: -10212210011002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21522 + -12312. What is the highest common factor of q and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, b: 4, l: 2, e: 1, v: 1}. What is prob of sequence fb?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37928*z = -37850*z - 2964 for z.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9 (b) -6 (c) 4790 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6038 (base 9) in base 3?\nAnswer: -20001022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-14) + 250\/315?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 u, and 1 q when three letters picked without replacement from {q: 2, z: 7, u: 2}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/8*6600\/2750?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.9 - 6. Let f = -0.6 - t. What is the third smallest value in f, -5, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 5)*(-2*c**4 - 11*c**2 + 1451*c - 1 - 1451*c).\nAnswer: -4*c**4 - 22*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185 divided by -30704.\nAnswer: -185\/30704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 2*1\/(-2). Let b be (-3 + 7)\/((-1)\/c). Let m be 1\/(-2) + (-2)\/b. Solve -20 = -5*o - m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nwenwwennqnwqnwqnq. What is prob of sequence eenq?\nAnswer: 7\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 9570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 328597 and 222025?\nAnswer: 8214925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.007 in 0.4, -0.4, 2\/9, 1\/5, -2\/2109, 4?\nAnswer: -2\/2109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**2 + 17*d + 2. Let x be p(-5). Suppose y + 1590 = -2*y. Is y\/x - (-1)\/(-4) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4300 divided by 860?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 49323898 > 9\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.4 in -2\/5, -11\/293, -1\/2, -192?\nAnswer: -11\/293","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -178 + -161. Let g = a - -338. Is g > -1\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391 is divided by 87.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/((-4830)\/45))\/(9\/(-2))\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xrhhhxrhrxxh.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 r when four letters picked without replacement from {c: 3, r: 5, y: 4, p: 1}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4681 is divided by 50.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7843 and 56265.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6527021 = -4*x + 15872879. Let c be (5 + -3)*5\/2. Suppose 5 = 3*s - 4*s, x = -4*u + c*s. What is u rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 34\/69, -4, -0.2, -2\/5, -1?\nAnswer: 34\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1094806879 to the nearest integer?\nAnswer: 33088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19289008*a + 241583975 wrt a?\nAnswer: -19289008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*a + 22, -3*a + 5 + 0 = -5*w. Suppose -2*d - w - 12 = -2*o, -3*o - 4*d + 14 = 0. What is the lowest common multiple of 20 and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 9*l + 3. Let f be d(-10). Suppose f*h = 8*h + 160. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2713803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67603 is divided by 72?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**2 - 4*r**2 + 5*r**2)*(-5 - 2 + 9)*(3 - 4 + 0)*(0*r**2 - 4*r**2 - r**2) in the form z*r**3 + f*r + v*r**2 + m*r**4 + s and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*z**3 + 2*z**3 + 13*z**3 + (-2*z + 0*z + z)*(3*z**2 - 8*z**2 - 2*z**2) to the form i*z + u*z**3 + y*z**2 + p and give u.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1735900 to the nearest 10000.\nAnswer: -1740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2219*n + 36306 = -23607 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1190386367 or 1190386366?\nAnswer: 1190386367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 641, 2560, 5765, 10262, 16057, 23156?\n\"Answer: w**3 + 637*w**2 + w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h - 61. Let p be c(20). Is 2\/87 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -23*i - 12. Is z(-4) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 8 - (42 + (-8 - -11) + 1 + 0)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -11112200?\nAnswer: -11112212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h - 3. Let l be r(3). Suppose 4*m - 2*i - 34 = 0, i - 43 = -2*m - 2*m. Let a = l + m. Solve z + a*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -54844*b + 219357. Determine x(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a milligram in micrograms?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 35?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 9. Let r(y) = -y**2 - 5*y - 4. Let d be r(l). Solve -5*g - d*z = -14, 0*g - 8 = -3*g - z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 1) + (-2610)\/6. Let g = -292 - i. Calculate the highest common factor of g and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 23405 - 24153. List the prime factors of a.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23937391 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 67225 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -116 - -116. Sort -32, -2, j in descending order.\nAnswer: j, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101137682?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2 + 18. Suppose 3*h = 15, 0*y - z*h + 16 = -y. Let d(q) = -y*q + 4*q + 3*q**2. Let c(s) = -2*s. Calculate c(d(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148170775 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5038?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 2*i + 16. Give p(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g - 2*g - 2*g)*(-4 - 6 - 1)*(9 + 8 - 5)*(2*g**2 - g**2 + g**2) to the form k*g**2 + h + i*g + x*g**3 and give x.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1133 + -20?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 13\/(-11) - (-3173)\/209. Find the second derivative of z**3 + 11*z**3 + 10*z**3 + s*z wrt z.\nAnswer: 132*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -7 + 4 + 4. Suppose 4*c + k*w - 5 = -1, -5*w + 10 = -5*c. Solve 2*a - 6*a + t + 13 = c, 8 = 4*a + 4*t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 799*k**4 + 1746*k + 14122446 with respect to k.\nAnswer: 3196*k**3 + 1746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 5*w**2 + 7*w + 8. Suppose -4*q = 4*r - 44, 0*r = 5*q + 2*r - 40. Give n(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(17424\/440)*(-3)\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17.95 in 2, 8, 37?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 13.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 3.4. Let a = 4 - 3.73. Let c = a - -0.03. What is the biggest value in j, c, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/22388600 and -29\/24799680?\nAnswer: 1611979200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.0309 + -740\nAnswer: -739.9691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6225364 (base 7) in base 4?\nAnswer: 2312023222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30466*v + 34*v**2 + 9*v**2 - 50*v**2.\nAnswer: -7*v**2 + 30466*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3*-1 - (-91)\/42)*(-41)\/(-205). Sort -1, w, 2, -364 in descending order.\nAnswer: 2, w, -1, -364","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.622? (a) -0.2 (b) -0.5 (c) 32 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 179*f**5\/2 + 661*f**4 + 1350*f**3 + 332*f**2 - 880*f = 0. Calculate f.\nAnswer: -4, -2, 0, 110\/179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1765 - 21*g**2 - 1760 + 3525.\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12414*u = 12499*u - 5355 for u.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-2 + 6 - 77)) + -502 + 523\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 4:41 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 3*q - 25, 3*w = 2*q + 2496 - 2501 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -34 - 2*p - 41*p**2 + 42*p**2 + 27. Give u(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 4801*x**4\/24 + 1484*x**3\/3 + 1491*x**2. Differentiate q(z) wrt z.\nAnswer: 4801","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + i**2 - i - 5. Let b be w(0). Let x be 11 + -14 - (-1 + b). What is the third biggest value in -3, x, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 14 + 14)*(3 - 5 - 1)*(-11*g - g**2 + 5*g + g).\nAnswer: 9*g**3 + 45*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 6*d + 2. Let w be c(6). Let g = w + 12. Solve 3*u = g - 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1588.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - -23) + -1 + 1 + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 443736 divided by -18?\nAnswer: -24652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from amamomomlmam.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = h - 6, 0 = 4*o - 5*h + 6 + 21. Let m be (-1*6\/o + -3)*-3. Let q be -46*m\/(-48) + (-6)\/(-48). Put -5, q, -4 in descending order.\nAnswer: q, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 - 59. Let h be (2\/t)\/(10*4\/271296). Let b = h - 1690. Is 5 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426212636.\nAnswer: 2, 19, 83, 67567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/((2 + -3)*-1). Let a be 249*2\/12*4. Suppose 8*z - a - 122 = 0. Calculate the greatest common factor of w and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 11*r**3 - r**2 + 2*r**3)*(4 - 1 + 3).\nAnswer: 78*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*g**2 + 146*g**2 + 95*g**2 - 47*g**2 - 63*g**2.\nAnswer: 272*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 6:19 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1809552?\nAnswer: 2, 3, 37699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 448311*z**5 + 2*z**2 + 4678458*z + 1?\nAnswer: 8966220*z**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = q + 15, 5*q + 45 = -5*s. Suppose -4*o + 20 = 2*g, -4*o + 4*g = -g - 48. Let f = o - s. Calculate the lowest common multiple of 6 and f.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + (-304)\/(-56))\/(4\/42)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1797654 + 13268484120\/7381. Find the common denominator of 1\/4026 and z.\nAnswer: 44286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 4*o = -157795 + 157869, 2*g - 30 = -2*o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 375 and 7699875.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 2317737744.83?\nAnswer: 2317737746.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -31917000 rounded to the nearest 1000000?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3\/4 + ((-44625)\/(-84) - (0 + 0))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 202 = -5*u + 190, 4*l - 2*u - 736 = 0. Suppose 5*j + 96 = 2*x, -l = -5*x - j - 0*j. Calculate the remainder when 108 is divided by x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 25.52. Let d = -0.02 + s. Which is the smallest value? (a) d (b) -7\/5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o - 4*o**2 + 2*o - 2*o**2 - 4*o**2 + 2*o**2 + (-5*o + 4*o - 21*o)*(5*o - 3*o - o).\nAnswer: -30*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1.82 (b) 0.5 (c) -0.1 (d) 83.47 (e) 1\/5 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 772216.4 millilitres to litres.\nAnswer: 772.2164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 433830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 285 = -59361. Let n = -2000 - o. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6091.1 rounded to the nearest one hundred?\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 0.2 (c) -2\/11 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0524 and -1.754122?\nAnswer: 1.806522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - q + 1. Suppose 4*n + 0*n - 4 = 0. Let l(c) = -c**3 - 7*c**2 - 12*c - 8. Let g(u) = n*l(u) - 2*x(u). What is g(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 + 879*r**3 - 9755*r**2 + 31125*r - 22250.\nAnswer: (r - 5)**2*(r - 1)*(r + 890)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 34.75584um?\nAnswer: 0.03475584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10768\/375 + 6\/125. Let k = -30 - u. Let r be (-2 - -1)*(-1 + 2). Is k greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -20*w**3 - 11*w + 2. Let m(n) = -13*n**3 - 7*n + 1. Calculate 8*m(h) - 5*x(h).\nAnswer: -4*h**3 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 20. Suppose -k = -2*i - v, 0 = -0*i - 2*i + 3*v + 25. Suppose -m = -5*m + i. What is the greatest common factor of m and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -33 + ((-984)\/(-369))\/((16\/(-6))\/4). Which is greater: -0.1 or p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/27539 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 65 + -4 + -3 - 14\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 342697*w + 342374*w)*(2 - 5 + 5).\nAnswer: -646*w - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(-2\/25)\/(g**(-2)\/((g*g**8*g)\/g))*g**(-2\/7)\/g**2*(g**(-1\/4)\/g*g)**(20\/7) assuming g is positive.\nAnswer: g**(198\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1156 is divided by 142?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 246.67194 to 1 decimal place.\nAnswer: 246.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10052, 20153, 30256, 40361, 50468, 60577?\n\"Answer: u**2 + 10098*u - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**3 + 2*p**2 + p - 1. Let c be d(-1). Suppose c*z + 22 = 5*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114315*a**3 + 53356*a wrt a.\nAnswer: 685890*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*o - 5407 + 5436 + 10*o)*(0*o + 3*o - 4*o + 5*o - 3*o - 3*o + (3*o - 2*o - 3*o)*(4 - 3 + 0)).\nAnswer: 168*o**2 - 116*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.045 (b) 0.01 (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/3*1*-1. Suppose -56 = -4*x + w*k + 2*k, 3*k = 9. What is the units digit of x\/3 - 1\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.02, -3, 14?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -7\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 8:07 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 3:50 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -2)*(0 - 0). Let j(p) = -5*p + 11 + 2*p + 4*p. What is the least common multiple of j(d) and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9197 is divided by 1801.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-4)\/((-208)\/13))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from gzzqqqqqqqqhh?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14, -2.51, -39\/10?\nAnswer: -39\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 7*c - 5. Let s be k(4). Suppose 4*q + 4 = -2*m, 0 = -4*q + 2*m - s*m - 16. Let a = -34 - -101\/3. Which is greater: q or a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (1 - -2)) + 13\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 418, 1653, 3706, 6577, 10266, 14773, 20098?\n\"Answer: 409*p**2 + 8*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11406 - -11411. Let y = -647\/35 + 91\/5. Which is the closest to y? (a) v (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: Put 95, -1068, 8 in descending order.\nAnswer: 95, 8, -1068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 9. Suppose -5*t - 8*a = -3*a - 80, 4*t - a = 49. Suppose t = -6*u + 223. Calculate the remainder when u is divided by m(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*l = 3*a + 953 - 1359, -11*l - 13 = -7*l + a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 8*p**2 + 31*p + 6. Give x(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 12:05 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u - u + 8*u + (-u + 2*u - 3*u)*(1 - 3 + 3) + 3 - 3 - 2*u as l + m*u and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*a + 8*a - 1, -23 = -5*c - 3*a for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i**2 + 11*i - 11. Let w(l) = -l**2 + 2*l - 2. Let x(m) = 2*c(m) - 11*w(m). Let k(r) = -30*r - 33*r - 31*r + 92*r. What is k(x(o))?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (-155)\/25 - (-1)\/5. What are the prime factors of (-2)\/9 + (-254)\/a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2425 - 3?\nAnswer: 2422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + -17)\/(-3 + 1). Let r = x - 8. Solve 8 = r*o - 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6676 divided by -1.\nAnswer: 6676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 115*q**4\/12 + q**3\/6 + q**2 - 2*q - 5. What is the units digit of f(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*w = -2*i + 156, 0 = -w - 3. What is the remainder when (4\/(-4) - -2)*i is divided by 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -619*h - 1388*h - 148518 for h.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (4 - 5) + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/15)\/((56\/(-10220))\/(-3*8\/(-12))).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -751*y + 773*y + 198 = 0. Let i(b) = b**3 + 7*b**2 - 13*b + 4. Determine i(y).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 4 (b) -49 (c) -3\/2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -130301 (base 4) in base 14?\nAnswer: -957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + 2 + (-3 - -2). What is the second derivative of -j*u**5 - 5*u**3 + 5*u**5 + 5*u**3 + 3*u wrt u?\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*x - 7 - 10 = 0, 5 = 3*i - 4*x. Suppose 0 = -d + i*o + 2602, -2*d + o = -2*o - 5213. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -5*j**4\/12 + 10*j**3\/3 - 66*j. Factor g(d).\nAnswer: -5*d*(d - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 y when four letters picked without replacement from zzyzyyyzpyy?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h - h**3 + 4*h - 4*h - 3*h**2. Let v be z(-2). What is the tens digit of (v + 1)\/1 - -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 621 is divided by 124.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*sqrt(567)*-5 - (((sqrt(567) + -1)*-1 - sqrt(567)) + sqrt(567))**2).\nAnswer: -571 - 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -341891.87 + 340278. What is j rounded to the nearest 10?\nAnswer: -1610","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -499 - -762. Let n = 267 - z. Solve n*v + 5 = 5*a, -4*a + 3*v = 3 - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v**3 + 12*v**2 - 16*v - 11. Let d(t) = -t**3 - 3*t**2 + 4*t + 3. Let m be -1 - 2 - (-1 - 0). Let c(r) = m*b(r) - 9*d(r). Is c(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10929.5 + -10930. What is the closest to 2\/3 in -4, p, -3\/2, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 7. Let g(z) = z + 1. Let k be g(2). Let p = k + h. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13460 is divided by 58.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 o when three letters picked without replacement from xxrrxxxoxrroxrxrx?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 240?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 1 + (-20)\/(-8))*165\/(-2750).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 0.39, -2, -43, -165 in decreasing order.\nAnswer: 14, 0.39, -2, -43, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 minus 0.353?\nAnswer: 30.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-52) - (-5588)\/(-1170). Let m = -38\/9 - c. Let i = m - -6. What is the common denominator of i and 3\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*y + 73*y - 77*y to c + u*y and give u.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 105, 143, 195?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1251031 weeks in hours?\nAnswer: 21.0173208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -26. Let f = 328596.99995 - 328611. Let n = f - h. What is n rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xcxxxxcccccccxcccc. Give prob of sequence cxcc.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8\/3 (b) -19 (c) 2\/3 (d) 3\/5 (e) 0.01 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79439 - 46298 = -126*x + 246963. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/457 (b) -0.5 (c) 0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 2 = 121*x - 120*x, -2*z + 4*x = -16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -51*o - 7. Let h(y) be the second derivative of -128*y**3\/3 - 18*y**2 + 9*y. Let a(w) = -2*h(w) + 11*i(w). Does 28 divide a(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/(-252))\/(4\/28)*-15*18\/6975?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15380 is divided by 801?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1331624\/1822688 + 4\/206.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 8*v**2 + 8*v - 3. Let h be q(6). Let b = 469 - h. Let a(l) = 19*l**2 + 4*l + 2. Let r be a(-1). Calculate the highest common factor of r and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 694, 397, -96, -785, -1670?\nAnswer: -2751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -5 + -12 + (-114)\/(-22).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*g**3 + 13*g**3 + 4*g**2 - 2*g**2 - 2*g**2.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4)\/(-6))\/(10\/435*1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 187 and 1972.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*z - 13, -z = 4*s + 12 - 35. Suppose -z*x + 58 = 3*q + 2*q, -x = -4*q + 43. Let y = q - 2. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 + 2 + 6)*(-10*n**2 - 20*n**2 + 59*n**2).\nAnswer: 1015*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*h + 58*h = -40*h - 30290. Is -1165 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9197.42 and -380?\nAnswer: 3495019.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) + sqrt(252) - sqrt(63))*-5)\/(sqrt(729)*1).\nAnswer: -10*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8250*l*x**2 - 10*l*x - 287*x**2 - 51 wrt l?\nAnswer: 8250*x**2 - 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2139255 divided by 427851.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/1292666 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000279843909 to 6 decimal places.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -0.044, 3, -4\/5 in increasing order.\nAnswer: -7, -4\/5, -0.044, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306)*2)\/(-2*sqrt(128) - sqrt(128)).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.88247 rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*r + 36*r - 2 + 2 - 77*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27339091?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -249.5 - -250. Let v = -0.14 + 0. What is the nearest to 0 in 1, h, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 3*y + 5*h, 4*y - 2*h - 36 = h. Solve 2*d - y = 5*z, 5*z + 6 + 3 = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 35656369\nAnswer: -14262547.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - j - 19480, 37*j = 32*j + 25. Let u(d) = 1952*d - g*d + 1944*d. Let c(x) = -69*x**2. Determine c(u(i)).\nAnswer: -69*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 539 = 5*j, -3*j + 3*m - 419 = -92. Let q = 111 + j. Suppose 0 = -x + g - 0*g + q, -4*g - 4 = -2*x. Solve -2*z = -x*z + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c + 54*c + 258 + 398 = -232 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-42)\/(5 - 8)*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3783, -3862, -3951, -4056, -4183?\n\"Answer: -o**3 + o**2 - 75*o - 3708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -74.109 - -0.109. Let s = 74.0000039 + b. What is s rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/2 and 75\/518.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/1)\/((-20)\/(-200)). Suppose a = -48*f + 53*f. Let x be ((-32)\/10)\/((-1)\/5). Solve f*m = -5*r - x, m - 2*r = -2*m - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.06434 centuries in months?\nAnswer: 7277.208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-28))\/(4\/(-28)). Let h(k) = -2*k**2 - 27*k**2 - 51*k**w. Let v(u) = -u. Determine v(h(n)).\nAnswer: 80*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 + 59.999993821. Round f to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(153) - (sqrt(153) + sqrt(153)*3)))\/sqrt(9).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 965\/1351*(-7)\/4.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 782836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-6 - -3) - (-2)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1890?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 48729 - -bb0?\nAnswer: 49719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11968754 is divided by 4668.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*m + 23, s - 6 - 10 = -4*m. Suppose 3*w = x + 8, m*w - x = -6 + 16. Let b be (4\/18)\/(57\/(-9) - -8). Is w > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*r + 37*r. Suppose 3*p - o - 61 = p, 0 = 4*p + 4*o - 92. Let c be (p\/2)\/(4 - 2). Put 3, c, r in increasing order.\nAnswer: r, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-54936.5\nAnswer: -274682.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9227, 39172, 89823, 161180, 253243, 366012?\nAnswer: 499487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1270 + 1222 = -8*o. Solve o*x = -0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j**5\/4 - 21987*j**4\/8 - 3606441*j**3\/8 - 1288947*j**2 - 1504629*j\/2 + 88572 = 0.\nAnswer: -488, -242, -2, -1, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 2*p - 41. Suppose 0 = 134*r + 873 - 203. Calculate u(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-70)\/(-4) - 1 - 0 and (-1)\/4 + (-2324)\/336.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -614, 54 in descending order.\nAnswer: 54, -4, -614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wnwwwnfwfnwnm. What is prob of picking 1 n and 2 f?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 22\/27 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111892 is divided by 71.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o**3 + 0*o**3 + o**3)*(4 - 17 + 1)*(0 - 1 + 2) to r*o**2 + a + q*o**3 + m*o and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j*j**(-13\/4))*j\/j**(5\/6))\/(j**(-3))**21 assuming j is positive.\nAnswer: j**(809\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-15)*(2 - -3). Suppose 0 = -h*o - 0*o - 5*p + 179, -2*o - 3*p + 89 = 0. What are the prime factors of o?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 2\/1237, -4, 5, 7?\nAnswer: 2\/1237","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a + 4*a**2 - 5*a. Let i(f) be the third derivative of f**5\/15 + 11*f**2. Determine 4*i(o) - 3*t(o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*h + 7*h + 26, 5*c = 4*h + 26. Is c not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1616, 1612, 1606, 1598, 1588?\n\"Answer: -d**2 - d + 1618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3.6243 * 167\nAnswer: -605.2581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5612312 and 23392.\nAnswer: 965317664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 100*n**2 + 1612*n - 98573. Determine v(94).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(882) - (sqrt(882) + sqrt(882)*-3 + sqrt(882) + sqrt(882)))\/(sqrt(36)\/sqrt(4)*-6).\nAnswer: -7*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 - 1230 = -71*f. Suppose -f*u = 248 + 1282. Which is smaller: u or -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -36.4. Which is the second smallest value? (a) 0 (b) z (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148, -149, -142, -121, -80, -13?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-4 - 139\/(-7)))\/(2\/(-7)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a milligram in micrograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 48*a - 117. Let r be g(45). What is the greatest common divisor of r and 378?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50.29 - -53. Let k = 2.7 - u. Which is bigger: k or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 121, -3, -5, 130.\nAnswer: -5, -3, 121, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 11*o + 3. Let x be g(-11). Suppose -3*m = -3, -5*z - 9 = -x*z + 5*m. Let f = 0.01 + -0.11. Is f at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 0*s**2 - 18*s - 30 - s**2 + 0*s + 0*s. Let t be z(-16). What is the third derivative of 184*p**t - 80*p**2 + 15*p**5 - 86*p**2 wrt p?\nAnswer: 900*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 + 2*s**4 - s**3 + (-s**2 - 2 - 3*s + 3*s)*(10*s - 18*s**2 - 10*s).\nAnswer: 20*s**4 + 36*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-6)*5*6\/3. Suppose 0 = 7*m - 2*m - 4*q - 294, 232 = 4*m - 4*q. Sort m, 1, w in decreasing order.\nAnswer: m, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + -17. Calculate the smallest common multiple of n and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 - 195 - (0 + 14 + -3 - 3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t = 22*t - 84. What is the lowest common multiple of 24 and t?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000158261419 to seven dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 5, -2\/23, -4, 52.18?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 34, 9, -14, -35?\n\"Answer: s**2 - 28*s + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10749819?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -1\/6*g**4 + 6*g**2 + 5\/6*g**3 + 1\/60*g**5 + 0*g + 0. Let y(a) = 2*a**2 - 7*a + 9. Calculate 5*b(f) - 3*y(f).\nAnswer: -f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 352489 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 - 6. Calculate the remainder when 75 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37 or -191\/5?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/633426 and 52\/18051?\nAnswer: 6967686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2205 and 455.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (158\/7)\/(165\/30030*52).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82648 is divided by 9163.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25631936 a multiple of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + i + 1. Let p(h) = h**3 - 10*h**2 - 3*h + 6. Let t(c) = p(c) + 2*y(c). Let w be t(8). Solve -g - 4 = 0, -l - 6 = g - w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3)*87\/(-203)*-49.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 1:24 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -8*g + 188. Let f be c(23). Let s(r) be the first derivative of -2\/39*r**3 + 2 + 2\/13*r**2 + 0*r - 1\/26*r**f. Determine j, given that s(j) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 14) + 7 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3163880 and 30280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**26*y**(2\/79)*y*(y\/(y\/(y*y*y\/(y*y*y\/(y\/y**(-10))*y*y*y)*y*y)))**(-2\/13) assuming y is positive.\nAnswer: y**(-26202\/1027)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z + 121 + 122 - 183 + 0*z - 196 + 136.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8793232*q**2 - 3*q + 3*q + 5 - 8793091*q**2.\nAnswer: 141*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 14*s**2 - 14*s - 5. Let b be (-20032)\/(-1344) - 4\/(-42). Give k(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25.4 - 25.4163. Let u = 0.01 + f. What is u rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 44 (c) 0.2 (d) -1\/4 (e) 2\/83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(3) - -1*sqrt(3)*6).\nAnswer: sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 7*u**2 - 6*u + 2. Let a be x(-6). Let t(k) = 50*k + 6604. Let n be t(-132). Solve -a*v = 10, 24 = -2*m + 4*m - n*v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 208*p - 206*p + o, p + 11 = -3*o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.3 (c) -3 (d) 44850 (e) -5 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6*r**3 + 2*r**2 - 2*r + 2. Let v be q(2). Suppose -v = -10*z - 157054. Round z to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -566354 - -377554. Round z to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**3)**7)**(-4\/7))**(4\/13) assuming m is positive.\nAnswer: m**(-48\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 54980 = 4*o - 11062, 0 = 3*g - 5*o - 65878. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -318 + -974.8?\nAnswer: -1292.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 - -43. Suppose d + 5*g = 8, -x*g - 3 = -3*d + 4. What is the least common multiple of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/1690 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 144*m**2 + 43*m + 3404 - 43*m - 250*m**2 - 256*m**2 wrt m?\nAnswer: -724*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3244 (base 5) in base 13?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.5 + -1.95. Let t = -0.05 + c. Let q = 5 - 5.1. What is the biggest value in q, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -23. Let o = -0.35 + 2.35. Suppose -t - 12 = 2*s - 6*t, -5*s = 5*t - 5. Which is the nearest to -2? (a) o (b) s (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 20 + 4 = 0. What is the units digit of (-50)\/z - (-16)\/24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 293776 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 greater than or equal to 0.53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 142 divided by -2\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 - 54. Is 3 a factor of ((-51)\/j - 3)*-7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 74730, 298832, 672320, 1195194, 1867454, 2689100?\n\"Answer: 74693*f**2 + 23*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a**(-8)*a*a))\/a)\/a*a)\/a)**(-3) assuming a is positive.\nAnswer: a**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -902\/7725 + -1\/309. Is y greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7.300179 centuries?\nAnswer: 730.0179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11730759.7236919 - 11730761. Let c = 1.2283 + p. Let j = -0.048 - c. Round j to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**2 - 79584*t + 15600816 = 0.\nAnswer: 198, 19698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 10 = -2*i. Suppose -6*p - 157 = -217. What is the greatest common divisor of i and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 4*a - 7 + 74, -w + 13 = -a. Let j = 13 - w. Let i(g) = 2*g. Let t be 1\/((-2)\/(-4)) + 0. Let y(m) = m - 1. Determine j*i(n) + t*y(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-61007)\/(-15) + 6\/(-45). Suppose 24*o - h = 4045. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.2? (a) 5 (b) 0.3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -c + 3. Let l(g) = 7*g - 13. Let h(r) = -7*r + 14. Let m(z) = 4*h(z) + 3*l(z). What is the remainder when c is divided by m(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11952038?\nAnswer: 2, 7, 853717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 157.91 - 172.11. Put 0, a, -0.5, 3\/5 in descending order.\nAnswer: 3\/5, 0, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b + 17. Let p be t(4). Is p equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2022110 (base 3) to base 4\nAnswer: -122112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = y + 18. Let c be (y\/26)\/(-3)*37 + 3. What is the second smallest value in -5, 3\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258151122 to the power of 1\/3, to the nearest integer?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u + 14. Give h(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfvdffddfd. Give prob of sequence dv.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -97 + 25. Let w = -12 + g. Calculate the highest common factor of w and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -294 + 299. Let h(j) = -j**3 + 5*j**2 + 2*j + 2. Give h(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 8*o**2. Let l(d) = 2*d + 5. Give b(l(a)).\nAnswer: 32*a**2 + 160*a + 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 + 8*g + 1. Let a be s(-4). What is the units digit of 18\/a - 298\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -379, -884, -1581?\nAnswer: -2470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -5 - (17 + 2). Let d be 4\/x*2*0. What is the smallest value in -5, 6, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*-1*2 - (-1*-2*sqrt(95) - sqrt(95) - sqrt(95) - sqrt(95)))\/((sqrt(90) + 2*sqrt(90))\/sqrt(2)).\nAnswer: -sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -15*r - 28. Let v be y(-2). Suppose 0 = v*h + 8, 3*w + h - 28 = 2*h. Calculate the least common multiple of 60 and w.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -31321324, 2\/7 in increasing order.\nAnswer: -31321324, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/373, 0.162, 0.25 in ascending order.\nAnswer: 2\/373, 0.162, 0.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18477335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-16)*6\/9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 0, 4*s = -0*s + b - 20. Let h = s + 25. Calculate the greatest common factor of h and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14431, -28887, -43363, -57853, -72351, -86851, -101347?\n\"Answer: q**3 - 16*q**2 - 14415*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -633658 - -942611. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 91 - 366 + 91 + 91 + 89 + 13*o. Let p(v) = 21*v**2 + 2. Calculate p(u(q)).\nAnswer: 3549*q**2 - 2184*q + 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 598 a factor of 917060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 19468?\nAnswer: 97340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 34, -1?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7299139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-5))\/(((-192)\/112)\/(20\/182))\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y. Let q be (-5)\/(-15) + 14\/3. Suppose q*r - 88 = -3*r. Let z(a) = 12*a - 13*a - 14*a - r*a. Calculate z(p(d)).\nAnswer: -52*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268513 is divided by 834?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1.52*0.017\nAnswer: 0.02584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 - 31. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/80 and 73\/636.\nAnswer: 12720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 + 59. Suppose 8*s = 9*s - y. Let z be (-10)\/(-1)*(0 + 2 - s). Let l(q) = -q**2 + 9*q + 9. Calculate l(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 7*g**2 + 13*g + 7. Let m be s(-2). Let l be (-28)\/(-30) + (-2)\/6. Which is the nearest to 0? (a) m (b) l (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/19*12673\/(-2001). Solve 0*k + 0 + 5*k**3 + 5\/3*k**5 + 5*k**4 + u*k**2 = 0 for k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.1 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + t - 8 = 0. Let o be 1\/t - 5\/(-20). Solve 2*f + 14 = 4*f - 3*b, o = 5*f + 5*b - 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 118.\nAnswer: -35.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1932579855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 24*u - 6. Let k(f) = 3*f**2. Give k(c(v)).\nAnswer: 1728*v**2 - 864*v + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.75 or 202265?\nAnswer: 202265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -21*a - 24*a + 49*a. Let b = -1.3 + 2.3. What is the nearest to 0.1 in 1\/7, -5\/7, b, a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + (-12)\/14)\/(106\/(-53)). Suppose 3 = 3*d + 6*t - 3*t, 3 = 4*d + 3*t. Which is the closest to 1? (a) d (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -68117, -68118, -68119, -68120?\n\"Answer: -w - 68116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 184996 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.898 + 0.102. What is the third smallest value in -0.6, 0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 957\/99 + -5.\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -5*f**5 + 80*f**4 + 320*f**3 - 590*f**2 - 1515*f + 1710 = 0.\nAnswer: -3, 1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28665087209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 213677\/107 - 1997. Let x = -3.4 - 1.6. Which is the closest to -1? (a) 0 (b) z (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1550 + 2668. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*l + 84*l + 243*l = -102*l. Let f be ((-15)\/(-250))\/((-3)\/(-2)). Which is bigger: f or l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3376545734.\nAnswer: 2, 41, 683, 60289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = f - 2*f. Solve f = -u - 2*x - 8, -3*u + 4*x = -2*u - 22 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 881 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -4*r**3 + 2924*r**2 - 11648*r + 11632 = 0.\nAnswer: 2, 727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43770 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - m + 1 - 94, -5*m + 75 = 5*x. Let o = 42 - x. Calculate the common denominator of -77\/10 and 38\/(-10)*(-15)\/o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (-1)\/((-1)\/(-4)). Let z be (6\/(-4))\/((-17)\/(-2) - 9). Suppose x*b + 6 = 2*b, i + z*b - 5 = 0. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) 4 (c) -4 (d) 1\/193\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 2c8?\nAnswer: 2cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -37971932, -75943864, -113915796, -151887728?\n\"Answer: -37971932*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2 + 3 + 0 - 5*j. Let s be p(-1). Suppose 3*w = -5*m + 37, -1 = 5*m - 5*w - s. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 5*v**2 + 4*v - 3. Let p be b(4). Put -1, 0, p in decreasing order.\nAnswer: 0, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6*x**2 + 27*x + 53. Let g(v) = -11*v**2 - 52*v - 97. Let f(a) = -5*g(a) - 9*n(a). Give f(-19).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 244?\nAnswer: -732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 20 = x, 5*x - 107 = -r - 2*r. Calculate the remainder when 108 is divided by x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10221 (base 3) to base 14\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 4, 3, -15, -734, 0.06?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-39)\/(-2) + (-3)\/(-6). Suppose -4*n = -3*s + b - 2, s - 2*n = 6. Let c(k) = 2*k + 13. What are the prime factors of c(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28092 and 122883772?\nAnswer: 368651316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a kilogram in grams?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3677868 and -0.1.\nAnswer: -3677868.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 14\/5, 0.4, -2\/5, 2\/19?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2377, 2379, 2383, 2389, 2397, 2407, 2419?\n\"Answer: c**2 - c + 2377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 5*sqrt(2448) + sqrt(2448))*-6)**2 - ((sqrt(2448) + -2)*6 - (4 + (sqrt(2448) - (sqrt(2448) - (1 + sqrt(2448))))))**2.\nAnswer: 12408*sqrt(17) + 3111263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18963 and 2709?\nAnswer: 18963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**2\/6 + 48790544*w\/3 - 1190258591907968\/3 = 0.\nAnswer: 48790544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 2\/1432391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3021464)\/279157*17\/(-2)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, 0.3, -18, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 539 and 10388?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 21, 7, -29, -93, -191, -329?\nAnswer: -513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*k**5 - 2*k**2 - 17*k**5 - 12*k**2 wrt k?\nAnswer: 420*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 13*w**4\/12 - 4*w - 96. Let n(m) = 45*m. Determine n(i(d)).\nAnswer: 585*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 59*k**4 - 279*k**4 - 127*k**4 + (-4*k + 2*k + k)*(2*k**3 + 2*k**3 - 6*k**3) + (k - k + 4*k**3)*(-3*k + 3*k + 2*k).\nAnswer: -337*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 38. Suppose -3*w + 0*w = -m. Suppose w*o - 126 = 34. Calculate the greatest common factor of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from btttiqictcbcq. What is prob of picking 2 t and 1 c?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o. Let b(v) = -3*v + 17. Let r be b(5). Let h(u) = 2*u**2 + u**2 + 7*u**2 - 8*u**r. What is h(m(n))?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23612907, 47225819, 70838731, 94451643, 118064555, 141677467?\nAnswer: 165290379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((3 - (-6 + -3 + 3)) + (58 - 12))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1798909.\nAnswer: 7, 79, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 78*q**3 - 3*q**2. Let c(u) = -39*u**3 + u**2. Determine -7*c(d) - 3*t(d).\nAnswer: 39*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 51*j**2 - 6*j - 301. Let s be f(-51). Put -105, 3, s, 1 in increasing order.\nAnswer: -105, 1, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9539949, -9539934, -9539905, -9539862, -9539805, -9539734, -9539649?\n\"Answer: 7*h**2 - 6*h - 9539950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - s + 80 = 0, -2*d - 2*s + 18 = -14. Suppose 0 = 3*g - 0*g + 3*q + 12, 0 = 4*q - d. Let n = g + 9. Put n, -3, -2 in increasing order.\nAnswer: -3, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + a + 2 + (0 + 2 - 3)*(3*a - 2*a - 3*a) + (2 - 6 + 2)*(3 - 1 - 1)*(-a - a + 4*a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**5\/570 - 37*i**4\/114 + 1369*i**3\/57 - 243*i**2. Factor o(v).\nAnswer: 2*(v - 37)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2320000022 (base 4) to base 10\nAnswer: 753674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u. Let v = -2 + 7. Suppose v - 23 = -3*p. Let h(q) = -3*q + 0*q - p*q. What is h(r(x))?\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*l**4 + 851913*l**3\/2 + 4652264127*l**2\/2 + 8468492530723*l\/2 - 488582361543\/2.\nAnswer: (l + 5461)**3*(52*l - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 193*t**2 + 54*t**4 - 3*t**3 - 192*t**2 + 2*t**3 - 3 - 56*t**4 - 2*t as y*t**4 + z*t**3 + r + i*t**2 + m*t and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-254)\/13 - (-43 + (-54733)\/(-1274))?\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4465?\nAnswer: 5, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - -2. Let p be 3\/b*(9 - -1). Solve p*u - 10 = 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*m**2 - 5*m**2 - 4*m**2)*(3 - 3 + 6)*(-2 - 5 + 6) as z*m + r*m**2 + y and give r.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*(k**1*k*k*k)\/k))\/(k\/(k\/k**3)) assuming k is positive.\nAnswer: k**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*b - 133 + 139 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - (-11)\/(-7))\/((-7)\/(-49)). Suppose h = 5*r + d, -3*r - 2 = -h - 6*r. Sort -19, -5, h, 3 in decreasing order.\nAnswer: h, 3, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a + 261 - 577 + 514 = 0 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 452920718?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b**7\/21 + 7*b**5\/30 + 27*b**2\/2 + 4. Let v(t) be the second derivative of p(t). What is the third derivative of v(l) wrt l?\nAnswer: 240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 53. Let o = -39.1 + b. Let g be (4\/10)\/((-3)\/(-15)). What is the third biggest value in g, -0.2, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -964863*v**4 + 6*v**2 + 11452 wrt v?\nAnswer: -23156712*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 77 = 2*o, -g - 2*o + 385 = 464 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 2*m + 130. Calculate x(0).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-15)\/d))**(-5\/9)\/(d**2\/(d\/(d\/(d**(-4\/5)\/d)))))**(-36) assuming d is positive.\nAnswer: d**(2384\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37525483 + 37525471.0000014. Let j = l + 12. Round j to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10263127 and 153497?\nAnswer: 5293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19fa4b + 3?\nAnswer: 19fa4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 3*b - 9. Let s be d(-3). What is the highest common factor of s and 774?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-10)*b)**(-13) assuming b is positive.\nAnswer: b**104","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 4:45 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 29*k**2 + 76*k + 120. Does 21 divide i(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.42 (b) 5 (c) 2\/11 (d) -6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 2*p = 47, 3*k - 23 + 42 = -10*p - 60 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + 12*s**2 - 11*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 2, -4, 2\/5, -1.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*c - 56 = 0. Let i = 30 + c. Let h = i - 19. Which is bigger: h or -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*11\/1*85\/25245?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -65, -1, -1\/281 in decreasing order.\nAnswer: 0.1, -1\/281, -1, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3122 + 3127. Which is the closest to -0.6? (a) 0.2 (b) 0.49 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {s: 9, j: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 1023, -3\/4, -50, -7\/5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 5. Let s be 2 + 1\/(-1) + 2. Suppose -s*l = l + g. Which is smaller: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 5:22 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-14 + 12)) + 8 + 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 77, 4, 1\/23?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*r**4\/11 - 30*r**3\/11 + 12*r**2\/11 + 48*r\/11.\nAnswer: 6*r*(r - 4)*(r - 2)*(r + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2365 rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 8\/1583?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 6*i**2 + 18*i - 114. Calculate b(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/24 and 10\/51.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -137741198 at least as big as -137741203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*q + 2*q - 4*q**2 - 2*q**2 - q**2 wrt q?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 53471*l**2. Let c(r) = -2*r. What is n(c(s))?\nAnswer: 213884*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**5\/20 + i**4\/4 - i**3\/6 - 2*i**2 + i. Let p(b) = 5*b**3 - 4*b - b**3 - 17 + b**2 + 12*b**2. Determine 26*f(k) - 6*p(k).\nAnswer: 2*k**3 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*x - 30. Let n be -1 + 2*(-9)\/x. Solve -8 = n*s + r, 10 = 2*s - s - 3*r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000020243 rounded to seven dps?\nAnswer: 0.0000202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + p - 4*p)*(8*p**3 - p**3 + p**3 + (-1 + p + 1)*(-p**2 + 5 - 5) + 2 - 2 + 2*p**3).\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 191*n. Let q(s) = -2*s. What is k(q(g))?\nAnswer: -382*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/9 and -43\/2919?\nAnswer: 8757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, -166, -237, -336?\nAnswer: -463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 4 + 3*h**2 + h**3 + 6 - 4*h**3. Let v(y) = -10*y**3 + 7*y**2 + 7. Calculate -21*t(j) + 6*v(j).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -12, -b + 2*u = -0*u + 12. Let n(c) = c**2 + 11*c - 7. Let m(p) = -p**2 - 10*p + 5. Let i(q) = 5*m(q) + 4*n(q). Determine i(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4336742?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -6*z + 8*z - 6*z**2 - 5*z. Let d(p) = 11*p**2 + 5*p. Let t(w) = 3*d(w) + 5*s(w). Let h(g) = 13*g**2. What is h(t(v))?\nAnswer: 117*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5343 and 6?\nAnswer: 10686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 10:44 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(1*(-7)\/2).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*2*(-16905)\/(-2576)*(-26)\/(-91)?\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -493, -1042, -1631, -2260, -2929, -3638?\nAnswer: -4387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-14 - -17 - (1 + 5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 15 = -w - i, 5*w + 2*i + 4 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 309?\nAnswer: -30c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2507 + 2507 - 883*g + (-3 + 4 + 0)*(-2*g + 2*g - g))*(0*g - 2*g - 1 - g) to the form k + u*g + l*g**2 and give l.\nAnswer: 2652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2323848 + -0.10356.\nAnswer: -0.3359448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 2. Suppose 7*a = z*a. Solve a = 4*y - 16 + 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*s + 79 - 16 + 9. Let m(o) = -4*o + 4. Let f(p) = 5*p - 5. Calculate s*m(n) - 3*f(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - -2. Let f = -10 + u. Which is the third smallest value? (a) f (b) 1\/7 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 8, a: 6, v: 3}. Give prob of picking 2 a.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*o = -588, -o + 286 = -3*s + 5*s. Suppose 3*w = 460 - s. Let n be 1 - (w\/(-40))\/(-3). Sort 0.2, n, 4 in decreasing order.\nAnswer: 4, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - d**2 + 1. Let p be m(1). Let f(o) = -3 - 4*o + 6 - 2. Calculate the remainder when 13 is divided by f(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 177829524 and 2412.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3459938.85 and -2261?\nAnswer: 3462199.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 - 3 - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 x when three letters picked without replacement from xsbbxxxxxxxbxsbb.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 608524972.\nAnswer: 2, 11, 577, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 126 + -142. Let j be (-4)\/(g\/9) + (-18)\/(-24). Let s = -3 - -3.2. Which is the second smallest value? (a) j (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z - 1 + 6*z**2 - 3*z + 7*z + 2. Let p be r(-1). Let i be (-2)\/p - (-10)\/25. Solve -5*y = -5*b, 3 = -i*b - b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 q when four letters picked without replacement from {q: 10, c: 4}.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3 = -1. Let d(j) = -j**2 - 21*j - 40. Let c be d(-19). What is the tens digit of 2\/((-236)\/(-117) + c) + y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g + 10. Let w be p(5). Let j be (85 - 91)*((-2)\/3 + w). Suppose -2*a + 3*a = 0. Solve a*f = -f - j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8303 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**2 - 848*n + 41100 = 0. Calculate n.\nAnswer: 75, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q + 0*q + q)*(1 + 2 - 7)*((-4 + 4 + 2*q**2)*(-2 + 2 + 2) + 0*q + q**2 + 0*q + 6*q**2 - 4*q**2 - 3*q**2) as v*q**2 + h*q**3 + r + k*q and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1554165?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (4 + 1 + -2)) + 4 + (-7839 - -7947)?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**2 + 5*y - 7. Let k = 6 - 11. Let r(v) be the third derivative of 0 - 1\/12*v**4 + 0*v + 3*v**2 - 1\/60*v**5 + 1\/2*v**3. Determine k*r(g) - 2*c(g).\nAnswer: -g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 812075186 to the nearest integer?\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, w: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = r - 47. Let m = r - 73. Let c = -31 + m. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25161*g**6 + g**2 + g - 4807.\nAnswer: -3019320*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.9185 to 1 decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(2) + -1)*-5 - ((sqrt(242) - 3*sqrt(242)) + sqrt(242))) + sqrt(648) + 1 + sqrt(18) + sqrt(162)\/(sqrt(36)\/sqrt(4)))**2.\nAnswer: 1440*sqrt(2) + 7344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4463876 is divided by 4764?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 155872579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - x + 64. Let k = 0 - -2. Suppose k*i - 3*r - 57 = -7, 3*r = 5*i - 116. What is the remainder when u(0) is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/216250 and 82\/194625.\nAnswer: 1946250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3 - 185*a**2 + 97*a - 462. Determine m(92).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 7*s - 1. Let i be l(6). Let p be 4*-1 - (2 - i). Let g be 4*p*3\/(-18). Which is the smallest value? (a) -2 (b) 0.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(44) + (sqrt(88)\/sqrt(8) + sqrt(11))*-2 + sqrt(11).\nAnswer: -sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.2 >= -55075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-nine quarters of a millimeter?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 271 and 273 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/9 at most as big as -74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4716464 and 93.\nAnswer: 14149392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -111030032 (base 5) in base 10?\nAnswer: -486267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((34\/51)\/(1 - -1)). Calculate the greatest common factor of 27 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3775 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 4*m**2 + 10*m**2 + 1193*m**3 + 0 - 1195*m**3 - 12.\nAnswer: -2*m**3 + 14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6269 - 12315 = 117*i - 788*i - 1138 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -841415, -841418, -841421, -841424, -841427, -841430?\n\"Answer: -3*t - 841412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 6) to base 13.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 153\/11 - 14. What is the closest to -0.6 in 0.1, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 6:33 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -274 divided by -11\nAnswer: 274\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 268 - 264. Let k = -17 + w. Which is greater: 13 or k?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {f: 2, x: 8, e: 5, y: 2, v: 3}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 313109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x - 40*x + 16*x = 5*t + 5, 3*x = 3*t + 24 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -5*d**5\/2 + 15*d**4\/2 - 5*d**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 + -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -105. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 10:40 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21313 + 2077?\nAnswer: 23401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9129, -18180, -27133, -35976, -44697, -53284, -61725?\n\"Answer: 2*u**3 + 37*u**2 - 9176*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6389 take away -104?\nAnswer: -6285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 619860 rounded to the nearest ten thousand?\nAnswer: 620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(0 + -31) - 2. Suppose 0 = -5*b + 3*c + y, -b - 3*c = -3*b + 17. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -587, 203, 2069, 5011, 9029, 14123?\n\"Answer: 538*f**2 - 824*f - 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8828959 millennia to months.\nAnswer: 10594.7508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1993\/34 + 117\/2. Let u = 4.9 - -0.1. Which is the smallest value? (a) u (b) p (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.20357958 - -0.2036. What is i rounded to six decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 238*k - 15. Is g(2) a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31*(-6420)\/23219*(-14)\/27.\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -x, 5*n - 2*x = -7*x + 2025. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -6*y - 100. Let l be z(-17). Let b(p) = -2*p**2 + 3*p - 4*p + 0*p**3 - 2 + 2*p**3. Determine b(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k. Let n(f) = 5*f - 3. Suppose -9 = 253*d - 256*d. Calculate d*m(x) + n(x).\nAnswer: 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 5 + 5 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 2. Let v be n(2). Let i be (-8 - -7)*3\/(-5)*20. Sort -1\/7, i, 3, v in decreasing order.\nAnswer: i, 3, v, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - o)*(800 + 2663 - 2469 + 4673 + 6596).\nAnswer: -12263*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5041724291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14082*h**3 + 8500*h**2 + 117*h - 821*h + 704*h wrt h?\nAnswer: -84492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - ((-4 + -6 - -6) + 6)) + -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21335 + 100?\nAnswer: -21235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 67955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 18003, -14, 0.1, 0, 2\/7.\nAnswer: -14, 0, 0.1, 2\/7, 3, 18003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 12. Let r = 149.176 + -149.116. Which is the nearest to 0.1? (a) r (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/386886362 or 0?\nAnswer: -1\/386886362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 15*l**2 - l + 6. Let d be z(-15). Solve -d - 4 = -5*k - 2*g, 5*g = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82027, 335410, 757715, 1348942, 2109091, 3038162?\nAnswer: 4136155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - g. Let d(w) = -3*w**2 - 7*w. Let h(u) = -2*u + u**2 - 4 + 18 + 11*u. Let q be h(-4). What is q*n(i) + d(i)?\nAnswer: 3*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-460)\/25)\/(-2*(-2)\/(-60)). Solve 282*j + 30 = r*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5515 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1566557.\nAnswer: 47, 33331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.1723*-0.15\nAnswer: -0.025845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 4) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, c: 15}. Give prob of sequence scss.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 5. Let h be v(-6). Let r(d) = 4*d**2 + 3*d + 3. Let c be r(-1). Factor 6*u**2 + 1 - h - c*u.\nAnswer: 2*u*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + 22050?\nAnswer: 2205a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 7:46 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 9 = -3*f, 0 = 4*h - 4*f - 12 - 4. Let p = 7 - h. Let b(q) = q - 1. Let n be b(1). Solve 16 = 5*c - p*c - 5*g, 2*c - 2*g = n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38445902?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -787473 (base 11) to base 4.\nAnswer: -10302033132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3336347702?\nAnswer: 2, 1668173851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -9438?\nAnswer: 37752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d + 11*d + 9*d + 3*d.\nAnswer: 28*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 33872422.\nAnswer: 372596642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 3*k + 6. Suppose k*i = 2*i + 32. What are the prime factors of 156\/i - (-3)\/24?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8*x**2 - 7766*x - 110280. Give k(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 349649904 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9317 and 52528?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 4:14 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 624, 2829, 6500, 11637, 18240, 26309?\n\"Answer: 733*y**2 + 6*y - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.3, 17, -2\/3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -c**5\/60 + 7*c**4\/24 + c**3\/2 + c**2. Let f be g(7). Put f, 0, 1\/4 in descending order.\nAnswer: f, 1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -2032268.\nAnswer: 203226.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/12*3)\/((-24)\/96)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2)\/p**(-7)*(p**(3\/2))**(-1\/5) assuming p is positive.\nAnswer: p**(47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/153 - -940\/1683. Let i = 32\/99 - x. Which is the nearest to 10? (a) 0.3 (b) i (c) 3 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + 0*s - 108*s**2 + 103*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 12*t + 2. Let c(o) = -28*o + 1. Give w(c(q)).\nAnswer: -336*q + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -449664.38 to the nearest one thousand.\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 9066*l**2 + 4 - 12 - 9072*l**2. Let b(k) = -7*k**2 - 9. Let h(o) = o**2 - 3*o - 4. Let q be h(5). What is q*s(n) - 5*b(n)?\nAnswer: -n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -84, -118, -148, -174, -196?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 71958013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15140538 a multiple of 729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2804971721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 21 = -5*a, -3*a + 4*c - 13 = 2*c. Let h = a - -10. Suppose 2*g + 1893 = h*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 781, -192, -1163, -2132, -3099, -4064, -5027?\n\"Answer: v**2 - 976*v + 1756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121 - 175 - 1446*d + 54.\nAnswer: -1446*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from fvyuc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 72886734*n**2 - 48427659.\nAnswer: 145773468*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w - 11. Let t be s(8). Let x(o) = o**3 - 11*o**2 + o - 11. Let f be x(11). Suppose 0 = -z - f*z. Solve r - t*d + 12 = 0, d + 8 = -5*r - z*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 2*s**2 + 2*s + 72. Calculate i(0).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = o - 23, 5 = 5*o - 0*j + 2*j. Is (-62)\/((-5)\/o - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/12 and 3965\/(-770) + (-4)\/(-14)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1478911850 to the power of 1\/2, to the nearest integer?\nAnswer: 38457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -776, -2\/9, 0.4, -1\/8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/4))**41\/(v\/(v\/(v\/(v*v**(-1)))))**(14\/9))\/((v*(v\/(v*v**(-4)))\/v)\/(v\/v**(-3\/2))*(v*v*v**(-2\/3))**(-16)) assuming v is positive.\nAnswer: v**(1027\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 2\/2780579807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((-1)\/(-8)*-3). Let d = -103 + 99. Let q = w + d. Solve 2*j = -q, 4*j = -i - 11 + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2486 = -4*d - 194, -2288 = -p - 2*d. Let b = 3507 - p. Suppose n = -t - 4*n + 282, 4*t - b = -n. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 6 + -5 - 0\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 80803872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -295564 <= -295947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*u**2 + 18*u**2 + 9*u**3 + (2*u - 2*u - 3*u**3)*(-3 + 3 + 4) - 3*u + 3 + u**3 - 3 - 89*u**2 + 89*u**2 + 3*u**3.\nAnswer: u**3 - 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.42 + 0.82. Let i be 0 - 0 - 2 - -5. Which is the nearest to 2? (a) 4\/7 (b) o (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 154*w**3 + 196. Let o(l) = -l. Give o(m(s)).\nAnswer: -462*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -318 - -318. Let p = 18 - -11. Suppose n + p = b - j*b, 4*b + 2*n - 98 = 0. Calculate the remainder when b is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2619.15 - -2619. What is the nearest to -0.1 in -0.4, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000060101 rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/7, -17.3, 0.3, -6.41?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -14*g + 5. Let a be s(3). Let x = -39 - a. Let l(o) = o**3 - o**2. Let c(f) = -6*f**3 - f**2 + f + f**2 + 2*f**2 + 3*f**3. Determine x*l(z) - c(z).\nAnswer: z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 14) in base 12?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -8. Let c be (-17)\/(-3) + m\/3. What is the first derivative of 1 + 4*y - 2*y - c*y + y wrt y?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -3, 4, 9, -4 in increasing order.\nAnswer: -4, -3, 1, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 5*j + 6. Let f be d(6). Suppose 2*q + 228 = 5*r + 5*q, f = 3*r - q - 148. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2171506879.\nAnswer: 31, 857, 81737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 206.998 - 207. Let b = 34 + -33.9844. Let i = x - b. What is i rounded to three decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*l + 1 = 7, -2*d + 4 = 2*l. Put 1, 5, d, 4 in increasing order.\nAnswer: d, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - n = -3*n, -3*n = -2*l + 7. Is 9\/((-45)\/20) - (-5302)\/l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 8348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -37, -26, 5, 62, 151?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 554882 by 156.\nAnswer: 277441\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 4. Let k be (0 - (-2)\/(-4))*-8. Which is the closest to -5? (a) -6\/11 (b) g (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2 + 7*v - 1 - 8. Calculate the remainder when h(8) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y. Let b(i) = i**2 - 6*i - 9. Let t be b(9). Let s(q) be the first derivative of 9*q**2 - 6 + 10*q**2 - 1 - t*q**2. Give s(g(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 - 19*p**2 - 41*p - 21.\nAnswer: (p - 21)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 12*c**2 + 12*c + 14. What is d(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5253 and 135354.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3648.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0.2. Let l(m) = m**3 - 2*m - 4. Let u be l(0). Put q, 0.5, u in descending order.\nAnswer: 0.5, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -145?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 45, 99, 153, 207, 261, 315?\n\"Answer: 54*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 - 1)*(-2*z**4 + 0*z**4 + z**4).\nAnswer: 7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -13*l**2 + 20*l + 1. What is s(-1)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 25 - 407*v - 18380*v**2 - v**3 + 18365*v**2 + 383*v. What is o(-13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 - (-5 + (-15 - (-3 - 17)))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + -2 - -3)\/2. Suppose 0 = v + 4*v. Suppose v = r - 4*c - 28, 60 = 5*r - 3*r - 4*c. Solve 3*w + r = 4*o - w, w + 3 = a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/155)\/((-117)\/195)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 295*r**2 + 2995*r - 2994. Calculate p(1).\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 5:26 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7058017 to the nearest integer?\nAnswer: 2657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (14 - -2 - ((8 - 0) + -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1956\/42)\/((-10)\/(-35)) is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 402038?\nAnswer: 4422418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/s**(-16)*s*s))\/s**(-1))\/(s*s**(1\/2)*s)**(2\/127))**(-5\/2) assuming s is positive.\nAnswer: s**(5410\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-80)\/35 + 14036\/77. Solve z*y - 168*y - 96 = 0 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115902277 is divided by 230422.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1725 is divided by 181?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -86778000 divided by 10847250\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -4*n**5\/3 - 47254*n**4\/3 - 684550*n**3\/3 - 818094*n**2 - 353970*n = 0.\nAnswer: -11799, -9, -5, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(5\/((-810)\/24)*234\/(-78)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 2*z + 30 = 0. Let i(d) be the second derivative of 0*d**2 + 0 - 1\/18*d**z - 4*d - 1\/72*d**4. What is j in i(j) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 292*r**6 - 112*r**2 - 2?\nAnswer: 35040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 121040622?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 8\/25 of a microsecond?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -1 + 8*g**3 + 7*g**3 - 4 + g**2 + 1 + g. Is h(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 8, -1964 in increasing order.\nAnswer: -1964, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 p when four letters picked without replacement from ppccxhcuxcuhc?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 76367613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/1 - (-4 + -1). Solve -3*u + c - 7 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 36.3. Let j = 1.7 - s. Let t = j - 8.4. Which is the smallest value? (a) 2 (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.699090719 from -3291.\nAnswer: -3295.699090719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -0.1 (c) 2\/135 (d) -3\/13 (e) 549 (f) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31700 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n - 2. Let o(u) = 7*u**2 - 1. Let s be o(1). Suppose 2*x - 4*x + s = 0. What are the prime factors of h(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 91 - 168. Which is greater: -76 or b?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 180.6161 to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/21)\/(2*1\/(-12)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-7 - (2 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2315 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/4)\/(1\/14). Suppose -2*k - 1 + x = 0. What is the second derivative of -c**5 + 6*c + c**3 - c**k - 7*c**5 wrt c?\nAnswer: -160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52.1 - -52. Let m = 1.96 + -1.9. Which is the closest to o? (a) 2 (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-3\/7))**10*t\/(t*t**(1\/4))*t**(1\/4) assuming t is positive.\nAnswer: t**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 * -0.22.\nAnswer: 4.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-21) + 527972\/(-14). Let c = s - -67712. Round c to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 4a?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*i + 230 = -214*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -635935*d**3 - 9*d - 49867403?\nAnswer: -1907805*d**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8156961?\nAnswer: 3, 906329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*j**2 - 105*j - 105*j + 210*j.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3781*z - 3780*z + 2.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i*i\/(i\/(i**8\/i))*i)\/i)\/i**(-6\/11))\/(i**(1\/13)\/(i*i**16)) assuming i is positive.\nAnswer: i**(3928\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*45\/(-375)*-20.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 2*p - 560 = -235 - 230, 0 = -4*i + 3*p - 69 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01602 rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -5*f**4\/12 + 220*f**3\/3 - 4840*f**2 + 319*f. Factor y(d).\nAnswer: -5*(d - 44)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + -4 - -2) + 31 - (96 + -85)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 - 4*x**2 - x + 4. Suppose -32 = -4*y + 8. What is the remainder when o(-3) is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 3950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 q, and 1 j when four letters picked without replacement from {q: 2, l: 2, n: 2, w: 1, j: 1, m: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -2f?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -13. Calculate the remainder when r is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 4 - (-6 + 20 + -10)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16192 and 2.\nAnswer: 16194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69 + 29*r - r**2 - 296 + 71 + 78 + 70 to the form i*r**2 + x + t*r and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -30, 2\/3, 0.2, 47, 1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 223496 divided by 2.\nAnswer: 111748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 1278 + 711. What are the prime factors of y?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269994 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -24. Suppose -p*n + 21 - 1 = 0. Let s(j) = j - 1. Calculate s(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 12 = -3*z, -a + 6 = 3*z + 15. Let r = -56\/11 + 80\/33. Which is greater: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1418 is divided by 88?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k + 8. Let f be v(-8). Let h = 74 - f. Calculate the remainder when h is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -565 = -269*m - 5581 - 1440 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or -12396\/1567?\nAnswer: -12396\/1567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 2\/11, -4\/5, 0.4, 3\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 2268?\nAnswer: 2267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 1\/5 (c) 22\/7 (d) -0.3 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-seven fifths of a decade?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.290353 millimeters to centimeters.\nAnswer: 0.6290353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12988 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -48. Suppose -z + 4*s - o = 2*s, -s = 4*z + 84. Let c = z + 31. Is c != 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20448543 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66820 divided by 260.\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 9*t**2 + 6*t + 9. What is the tens digit of k(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/(-70)*4\/(-34)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/3)\/((-4)\/(-108)). Let b be ((-5)\/6)\/(6\/f). Let c = -30 - -59\/2. What is the second smallest value in b, 0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392 + 398 = 6*h. Let n = 0.2 + -1.2. Let z be (3\/4)\/((-2)\/(-8)). What is the closest to n in h, z, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84.699984066 + 84.7. What is o rounded to seven dps?\nAnswer: 0.0000159","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7249129250 to the nearest integer?\nAnswer: 1935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6476 or -6373?\nAnswer: -6373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + n - 1209 + 329 = 0, 5*v - 2*n - 1100 = 0. Calculate the least common multiple of v and 50.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2688 and 126.\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u + 6. Let k(j) be the second derivative of j**3\/6 - j**2 + 101*j. Let q(h) = -d(h) - 3*k(h). Let z(a) = 55*a. Give q(z(m)).\nAnswer: 110*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10863 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/8)\/(-3*(-2)\/73608) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 + -2 + -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1096361?\nAnswer: 7, 156623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 10. Let n = -727 - -721. Let x(s) = s - 11. Calculate n*x(t) + 7*b(t).\nAnswer: t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-69)\/(-4) + 5\/(-29 + 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -2\/11, 0.7, -1.096?\nAnswer: -1.096","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 + 5)*(-f**2 + 3*f**2 + 0*f**2) - 2*f**2 - 173*f + 173*f + f**2 + 2 - 2 in the form g*f + i + b*f**2 and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 0.01316.\nAnswer: 0.02632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -138b (base 14) to base 9.\nAnswer: -4658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -89?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l + 167 + 155 - 10*l**3 - 4*l**3 + 8*l**2 - 7*l**2 - 284 in the form x + q*l**3 + t*l + d*l**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24240 and 66720.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 165 - 164. Let a = -4 + 2. Let f = 4 + a. Calculate the highest common divisor of c and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.4 (b) 4\/97 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r = -15*r - 144. Let j(q) = -3*q + 1. Let o = -4 - 4. What is the remainder when r is divided by j(o)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.4 - -27. Let m = -6 + s. What is m rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/(-275) - 72\/40?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 37*m - 4. Let d(r) = -16*r + 2. Let i(q) = -7*d(q) - 3*o(q). What is i(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 3)*(-18*c + 18*c + 7*c)*(-2*c**2 - 5*c + 5*c)*(18 - 3 - 5 + 28) to b*c**3 + n*c + r*c**2 + w and give b.\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2.897141um?\nAnswer: 0.000000002897141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -27c586c6 - -2?\nAnswer: -27c586c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence do when two letters picked without replacement from oodpoddoddo.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -i**6\/40 + 7*i**5\/60 - i**4\/12 + 3*i**2\/2 - 3. Let b(s) be the second derivative of k(s). Determine p, given that b(p) = 0.\nAnswer: 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-37)\/(-37))\/(-10*(-3)\/(-18))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 11, 3, -0.1, 85, -4, -482?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 17 = 5*s + 3, -4*o = -3*s + 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1328, -5323, -11988, -21329, -33352, -48063?\nAnswer: -65468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3 = -1, 2*t - 2 = 2*o. Suppose -292 = -4*l + o*n, 3*l + 3*n - 365 = -2*l. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.11 (b) 16.1 (c) -16\/1485 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 34, 8, -18?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -57?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3426, -4096, -5256, -6906?\nAnswer: -9046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6878254919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r. Let o(f) = 3*f**3 - f. Let h(j) = j**2 + 6*j - 8. Let s be h(-6). Let t = s + 7. Determine t*o(b) + w(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25946, -51955, -77970, -103991?\n\"Answer: -3*m**2 - 26000*m + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -2, 63 in decreasing order.\nAnswer: 63, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**3 + 3*y + 2. Let j(h) be the first derivative of h**2\/2 + h - 4475. Let m(x) = x**2 - 8*x + 2. Let v be m(8). Determine v*j(q) - s(q).\nAnswer: 3*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 d, and 1 q when three letters picked without replacement from {d: 1, p: 1, q: 1, x: 1, f: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 32 (c) 2 (d) 4 (e) 0.6 (f) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c**3 + 6 - 7 - 12*c + 4*c + c to the form q*c + i*c**3 + o*c**2 + z and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1651.\nAnswer: 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*k = 9*u + 3, -k = -3. Calculate the remainder when 9 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, j: 1, f: 1, i: 1}. What is prob of sequence aa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 526\/10 - (-21)\/(-35). Suppose 3*z + 7 = b. What is the remainder when 44 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 168*y**2 - 160. Let t = 928 + -923. Let k(f) = -166*f**2 + 157. Let n(d) = t*x(d) + 4*k(d). What is the first derivative of n(q) wrt q?\nAnswer: 352*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220717 divided by 4?\nAnswer: -220717\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-six fifths of a litre?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -5. Suppose -o - 1 + q = x, -3*o + 5 = 5*x. Let u = x - 0. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 864620798?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 + 65 + 37)*(20*r**2 - r**2 + 5*r**2).\nAnswer: 1536*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4375976 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-24 - -39) + (-1 - 1) + 10?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 9*z - 7. What is q(-7)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 5*f**2 - 2*f**2)*(2*f**2 + 0*f + f - 26 + 24).\nAnswer: 4*f**4 + 2*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -2*k + k. Suppose 186165 = 297*p - 76*p + 48703. Calculate the remainder when p is divided by k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200683.\nAnswer: 7, 28669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -748 by 22.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4*((3 + 0 + sqrt(192) + sqrt(192))*-5 + (2 + 1 + sqrt(192))*6))**2.\nAnswer: -4352*sqrt(3) + 49441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13c554 (base 15) to base 8\nAnswer: -3505172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 115, 125, 149, 193, 263, 365, 505?\n\"Answer: b**3 + b**2 + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -865445*-3.5\nAnswer: 3029057.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -30. What is the highest common factor of s and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 13. Let t be f(-9). Suppose 5*j = -3*d + 630, 3*j - 46 - 303 = t*d. Does 33 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a week in seconds?\nAnswer: 30240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - -6. Let x(t) be the first derivative of 11*t**3\/3 - t**2 - t + 1. Let r be x(-3). Calculate the highest common factor of d and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 852, 851, 850, 849, 848, 847?\n\"Answer: -b + 853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 2.9 (b) 0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of k**3\/3 - 12*k**2 - 98*k - 137. Calculate the remainder when 467 is divided by g(29).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4176)\/(-228))\/116*(1 - 22\/18)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29260300 to the nearest one hundred thousand.\nAnswer: -29300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v - 126 - 3*v**2 + 133 + 4*v**2 + (0 + 0 + 3*v)*(-5*v + 2*v - 5*v) - 6*v**2 - 9*v + 9*v.\nAnswer: -29*v**2 + 4*v + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81413*g**5 + 8*g**4 + 4*g**3 + 69388*g**2 - 2*g - 1.\nAnswer: 4884780*g**2 + 192*g + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 5517*g + 160907. What is c(29)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 2:39 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + sqrt(891)) - 1*sqrt(891)*3 - (5 + 4*(sqrt(891) + (sqrt(891) + 0 + sqrt(891) - sqrt(891)) + sqrt(891))*1)**2.\nAnswer: -128327 - 1098*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in 74, -3, 132, -81?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -28888843 > 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 333c?\nAnswer: 3343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/40, 3\/4, 2\/9?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 9:39 PM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -111001100001110 (base 2) to base 12\nAnswer: -15066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*x = -58*x - 88. Let a(n) = 4*n + 2. Suppose -5*f = 0, -3*b = -2*f + 5 + 7. Let l be a(b). Put x, l, 0 in decreasing order.\nAnswer: x, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*1 - sqrt(88))*-6 + sqrt(88) + sqrt(88)*-2*-3)\/((sqrt(576) + (sqrt(576) - 3*sqrt(576)) - sqrt(576))\/sqrt(2)).\nAnswer: -7*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -217272, -216960, -216440, -215712, -214776, -213632?\n\"Answer: 104*a**2 - 217376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/4966 and 17\/260?\nAnswer: 49660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -64, -1\/9, -2\/17?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 216911, 216884, 216857, 216830, 216803?\n\"Answer: -27*c + 216938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 - 2646*y**2 + 7995*y + 26550.\nAnswer: -3*(y - 5)*(y + 2)*(y + 885)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 6 = -4. Suppose 0 = -4*o - 13 + g, 5*l - 2 = o. Solve -3*p = 3*i - 0*p - 6, l = -5*i + 2*p + 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - g + 3*g)*(-11*g**3 + 8 - 8).\nAnswer: -22*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 0*x**3 - 3*x + 0 - 1\/2*x**4 + 0*x**2. Let a(d) = 4*d**2. What is a(j(w))?\nAnswer: 144*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31503 = 4*j - 7275. Let t = j + 466427\/77. What is the common denominator of 37\/2 and t?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 (base 8) in base 6?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 296537440 to the power of 1\/2, to the nearest integer?\nAnswer: 17220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15460, -30260, -45050, -59824, -74576, -89300, -103990?\n\"Answer: z**3 - z**2 - 14804*z - 656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 63*z**2 - 1768*z - 186. Give n(-84).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 380256710.\nAnswer: 4182823810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2485591122.\nAnswer: 2, 3, 7, 59180741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a meter in centimeters?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87 + -81. Calculate the remainder when p is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 275*p - 229. Let v(y) = 52*y - 46. Determine -2*i(u) + 11*v(u).\nAnswer: 22*u - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -93\/1507?\nAnswer: -93\/1507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + l = y - 20178, -2*y + 5*l = -40266. Is y a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68932.405 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1787371 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 42849.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 + -0.2. Let s = -0.4 + u. Let p = 0 + s. Put -3, p, -4 in descending order.\nAnswer: p, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d = -d - 5552. Let u = d + 731. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 104, 112, 122?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 353841 and 237?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**2 + 6*m + 13. Let v be p(4). Let f = v + 25. Which is the fourth biggest value? (a) -0.04 (b) 1 (c) 5 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*x = -n, 4*n - x = 0. Suppose 5*m = b + 18, 3*m + 5*b + n = -6. Factor -15*i**4 - 3*i + 3*i**m + 14*i**4 - i.\nAnswer: -i*(i - 2)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ao when two letters picked without replacement from omma.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 x when four letters picked without replacement from vkvxv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 828 and 736?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 25*t**2 - 46*t - 5. Let p be u(23). Let k(f) = -f**3 - 5*f**2 - f - 1. Calculate k(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -14.9. Let b = -1014 + 1009. What is the closest to h in 1\/2, -0.5, 8, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302097 less than or equal to 1302106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 149171.13 to the nearest one hundred.\nAnswer: 149200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -53 - -41 - (0 + -6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001 (base 2) to base 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 6. Let c be ((m + 2)\/12)\/((-2)\/(-6)). Is 9 a factor of c*(1 - 2)*(-140 + -6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*y + 12 - 1, -y = 3*u - 17. Let g(q) = 3*q**2 - 3*q + 3. What are the prime factors of g(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*n + 51, 4*n - 3*m + 62 = 22. Sort -1, -2, n in decreasing order.\nAnswer: -1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*q + 143*q = -2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - m**2 - 1 + 28*m**2 + 2 - 2 - m**2 + 5*m**2 - 3*m**2 - 4*m**2 + (-5*m**2 + 3*m**2 + m**2)*(4 - 4 + 2) - m**2 + 2*m**2 + m**2.\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -53?\nAnswer: 15.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2749 and 35?\nAnswer: 96215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 71 = -257. Calculate the lowest common multiple of h and 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*b - 65, 0*p = 5*p - 2*b + 60. Is (-2)\/p - (-3162)\/15 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 896 and 37156.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 7)\/(44 - 35).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(w + 0*w + 0*w)*(4 - 6 + 4).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 354638810.9999365 - 354638716. Let y = -760 + 665. Let m = u + y. Round m to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*i*l**2*t**3 - 3*i*l*t**3 - 90*i*l - 12*i*t**3 + 2*i*t - 381*l**2*t**3 wrt l?\nAnswer: 56*i*t**3 - 762*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/10248 and -13\/1752408?\nAnswer: 1752408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 0.05, 31, -5\/4 in decreasing order.\nAnswer: 31, 0.05, -2\/13, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32663152?\nAnswer: 2, 2041447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46258 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 28, 5 in decreasing order.\nAnswer: 28, 19, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10001111 (base 2) to base 3\nAnswer: -12022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 156*g**2*u**2 - 14*g**2*u - 2*g**2 wrt u?\nAnswer: 312*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -7*k + 24. Suppose 5*g - k*g + 160 = 0. Suppose 5*w - w + g = 0. What is w rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 2232 = 37*l - 408. What is the highest common factor of l and 2530?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 q when two letters picked without replacement from {u: 3, q: 5, h: 2, k: 2}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -705, 6\/47, 2\/3, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 285 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**6\/345 - 2*s**5\/115 + 16*s**3\/69 + 16*s**2\/23 + 1821*s. Determine h so that n(h) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 32*c - 24*c. Solve -5 = -3*v + c*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40040\/(-6864) - (-114)\/(-36)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 - 9*c**3 - 72*c**2 - 84*c.\nAnswer: 3*c*(c - 7)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 7 - 5 + 17 + 1051*r**2 as q*r**2 + c*r + k and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3*u - 39, 21*u - 22*u + 4*r + 3 = 0. Solve u*t - 15*t = -4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.1 (b) -311 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = w - 5*z, 5*w = 4*w + 2*z + 8. Suppose -4*y = w + 2. Let u(o) = 3*o + 3. What is u(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1643 (base 14) to base 9.\nAnswer: 5411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 36 = 3*x, 4*x - 54 + 6 = -s. Let i(n) = 7*n - 12. Does 8 divide i(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 4*m - 12 + 28, 7 = -4*a - 3*m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen sevenths of a week in minutes?\nAnswer: 18720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -735 - -752.04. Let c = f + 151.76. What is c rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16a + 15?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 681 and 126448988.\nAnswer: 379346964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*c - 63*c = -201330. What is the thousands digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1530 and 71\/1789794?\nAnswer: 8948970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 g when two letters picked without replacement from gguggtuugggggggg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4827976807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-11))\/(1971\/1606)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2*q + 5 + 6*q + q**2 - 6.\nAnswer: q**2 + 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/(-10*(-198)\/(-540))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -532, -1077, -1622, -2167, -2712?\n\"Answer: -545*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.3 (b) 0.02 (c) -3\/5 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 14*m + 49. Let w be k(17). Let a be (-42)\/4*42\/(w + -5). What is the highest common divisor of a and 441?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c - 4*c + c)*(1 + 0 + 1) + 136150387 - 136150387 - 87214*c in the form y + r*c and give r.\nAnswer: -87216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 120 + -116. Solve -m - 6 = -2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/134? (a) 0 (b) -0.2 (c) -1\/4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*n + 3*o, -43797*o + 43791*o = -30 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 10 = 5*g - 3*m, -5*g = -2*m + 16. Let b be 13*(2 + (-4 - g)). Suppose 2*d = 4*l - b - 4, -4*d - 20 = 0. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 29 = 7*d - 55. Calculate the highest common divisor of 3402 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + 5 + -2 + -402 + 352.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 3*j**2 + 2*j. Suppose m = 5*m - 8. Let s be z(m). Let o be 3\/(-10)*10\/12. Which is the third smallest value? (a) 2\/7 (b) o (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 10. Let b = f + 3. What is the nearest to -0.1 in 2\/9, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2573 and 1116?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*(-11 + 10).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r + 0*r - 3*r)*(-110*r**2 - 93*r**4 + 110*r**2).\nAnswer: -279*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -98 + 100. Which is the closest to 0.2? (a) -3 (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 + 133*a - 7. Let v(q) = 3. What is -3*v(x) - z(x)?\nAnswer: 2*x**2 - 133*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 32421*w**3 + 6*w**2 + 11*w - 12. Let f be g(8). Suppose -2*h + f = 4*l, -3*h + 24900006 = 5*l - 3*l. What is h rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**4\/2 - 28*o**3\/3 - 33*o**2 - 3897. Factor d(k).\nAnswer: -2*k*(k + 3)*(k + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*u - 8, 0 = 15*r - 17*r + 2*u + 8. Solve -i + 16 - 13 = r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1310, 1309, 1308?\nAnswer: 1307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -438691*k**4 + k**3 + 916349?\nAnswer: -1754764*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 12240?\nAnswer: -12231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 806874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 19. Let y = -6 - s. Solve 0*n + 6 = -y*n, -18 = -m + 5*n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, g: 18}. Give prob of picking 1 g and 3 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36709\/4 + -9122. Let z be 2\/(-4) + 39\/52*74. Let n = y - z. Put 2\/33, n, -1\/3 in descending order.\nAnswer: n, 2\/33, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 + 27 - (23 + 38)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2\/11, 6\/11, -2, -6\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b41 (base 12) to base 5.\nAnswer: -341001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 8*v + 6. Let n be a(-5). What is the first derivative of -1 + 32*r**2 + 11*r**4 - n - 32*r**2 wrt r?\nAnswer: 44*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 814372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 153797?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -134815290 by 5.\nAnswer: -26963058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 64582?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -19*l**3 + 6*l**2 - 5*l - 6. Let p(z) = 18*z**3 - 5*z**2 + 4*z + 5. Calculate -6*p(r) - 5*s(r).\nAnswer: -13*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000032542 to 6 dps.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from qqqqqqqquqqqqqb?\nAnswer: 13\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*p = p - 19, -c + 13 = 2*p. Let j = 12 + -8. What is s in 3*s + s - j*s**c - 3*s**4 + s**4 + 2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8271.\nAnswer: 3, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91675 = -3996*o - 981*o + 1310*o for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 greater than 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25985882 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(2\/15)))\/q**(3\/8)*(q**(-1\/9)\/q)\/(q\/q**13) assuming q is positive.\nAnswer: q**(3833\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/143684 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1101010010101 (base 2) to base 7\nAnswer: -25561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**2 + 56*f**2 - 7*f**2 + 36*f**2.\nAnswer: 77*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*q**2 - 54*q**2 - 33*q**2.\nAnswer: -67*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (sqrt(99) + sqrt(99) + 5*(sqrt(99) - sqrt(99)*1)))\/((-2*sqrt(441) - sqrt(441)) + sqrt(441)))**2*3.\nAnswer: 33\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ifuujciipicpiii. What is prob of picking 1 p, 1 f, and 2 c?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 8:20 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*d + 282554 - 282554.\nAnswer: -69*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, b: 5, r: 1, w: 4, n: 5}. Give prob of picking 1 n and 1 w.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1409 is divided by 179.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0 (c) -58 (d) -5 (e) 2\/4593 (f) -1\/2 (g) 2\/15\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 11020233032?\nAnswer: -11020233031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 60787918967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357940 is divided by 178967.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**5 + 6*m**3 - 15*m**2 - 6. Let a(h) = 4*h**5 + 17*h**3 - 44*h**2 - 17. Let r(q) = 6*a(q) - 17*u(q). Find the third derivative of r(z) wrt z.\nAnswer: 420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2236 is divided by 249?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10353*i + 25746 = 10360*i. What are the prime factors of i?\nAnswer: 2, 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 834 - 280 = -272*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 3*x + 42066 + 165529, 4*b = 3*x + 207613. What is the ten thousands digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 7:45 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -35, -0.2, -0.1?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**5\/20 - 278*j**3\/3 + 618*j**2 + j + 578. What is the derivative of m(o) wrt o?\nAnswer: -3*o**2 - 556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89*g**3*v - 5*g**2*v - 16*g**2 + 1 wrt g?\nAnswer: 534*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/9 - 1\/36. Let i = -630\/19 - -3093\/95. Sort i, -1\/5, 0, m.\nAnswer: i, m, -1\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*s + 1 + 25*s + 17*s)*(-s + 0 + 0*s + 1) + s**2 + 2*s**2 + 0*s**2.\nAnswer: 4*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003648 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 3*w + 3. Let n be 3 + (0 - -2) + w. Put -2, 3, n in decreasing order.\nAnswer: n, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14 - -2)\/(-2 - 0). What is the greatest common factor of u and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 5 - 2 + (1 + 2 - 1)*(1 - 1 + 2) + 2 - 1 - 3 - 1 - 3 + 2)*(-4*w + 3*w + 6*w) to the form u + b*w and give b.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -51.5.\nAnswer: -52.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 296550.526 rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 1460*j + 31641. What is m(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2617 + 2618. Which is the fourth biggest value? (a) -4 (b) p (c) 0.014 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*12\/(-144))\/(-5)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -215 - -215. Suppose -2*b = -16 + 10, t = -x + 3*b - 5. Solve -5*a = -a - x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 1 (c) 2\/9 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*f + 64 + 356. Solve -4*z + 3*t - f = 5*t, -2*z = 5*t + 30 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 2*w + 9 + 7, 3*w = 2*o - 18. Let a = 167 - 85. Let r = a - 70. Calculate the least common multiple of o and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -96*d**5 + 35947*d**3 + 12*d**2 + 14625*d - 4.\nAnswer: -5760*d**2 + 215682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 1409*v + 263471. Calculate s(-187).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2980192869?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -62*s**2 + 12*s - 4. Let u = -48 - -41. Let x(n) = 62*n**2 - 14*n + 5. Let h(i) = u*r(i) - 6*x(i). Let l(c) = -c**2. Determine l(h(g)).\nAnswer: -3844*g**4 + 248*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26280 + 26280.24058. Let m = -0.24 + u. What is m rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 381804*q + 1181*q**3 + 952*q**3 - 646*q**3 - 381804*q.\nAnswer: 1487*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 - -2)\/(1\/(-33)). Let i = 241 - z. What is the greatest common divisor of 95 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 227840?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 3346?\nAnswer: 3346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6104)\/(-36260) + (-2912)\/481 + 6?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-5)*(-35)\/((-1050)\/(-10)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 161*((-60)\/168)\/(70\/28).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -3075, -8196, -15365, -24582, -35847, -49160?\nAnswer: -64521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.59 (b) 0.781 (c) 7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 8:02 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 147462801 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 w be 4\/15 + 1\/3. Solve 3\/5*z**2 - 6\/5 + w*z = 0 for z.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.945865 micrograms in grams?\nAnswer: 0.000004945865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) 1\/4 (b) 2\/5 (c) -0.3 (d) 1\/8 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 15 - 22*o in the form m + h*o and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 46 = -2. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 134845178?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 9 = -4*g, 5*g + 26 = 3*r + 31 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12, -128, -448, -1074, -2108?\n\"Answer: -17*l**3 + 3*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by 10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + o + 17. Give r(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 1)*(2 - 129 - 2)*(-1 + 0 + 3)*(6*u**3 + 3*u**3 - 3*u**3) in the form n*u**2 + v + c*u + b*u**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + (10\/(-4))\/((-292)\/(-1168))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7, -40, -105, -202, -331, -492, -685?\n\"Answer: -16*u**2 + 15*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(125)*-2)**2*2 - (sqrt(125)*-1*4 + sqrt(125) + sqrt(125)))*-5.\nAnswer: 50*sqrt(5) + 5000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of r**3\/3 - 4*r**2 + 16*r - 23. Is 25 a factor of y(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 8:05 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - 0.1. Let n = -216903 - -216902.5999968. Let q = n - v. What is q rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -204 + 216. Is (-3614)\/(-12) + 2\/l*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 2609739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - 2*i**2 + 4*i)*(2 + 3 - 4) + 4*i**2 - 5*i**2 - 7*i**2 + (2*i**2 - 2 + 2)*(-2 - 2 + 2).\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13610 - 7738. Let r = t - -2121. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19799 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*z + 5*w = 29*z - 61*z + 2*w - 39, -w = -4 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56024786*j**2 - 322614751*j?\nAnswer: 112049572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 1:36 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2. Let m(z) = -19 + 19 + 15*z. Determine a(m(i)).\nAnswer: 450*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/7, 0.3, 2\/9, 3\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h - 7. Let w be r(9). Suppose 0*a = -3*a. Suppose w*j + d - 20 = 1, a = -2*j + 4*d + 26. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 34, 103, 196, 313?\n\"Answer: 12*d**2 + 33*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3135)\/418)\/(9\/(-30))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -4)\/((-6)\/(-10) - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 7*r - 4*r - 56 = 5*r - 11, -59*n = 21*n - r - 329 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 + 0)*(5*i + 4*i + 14*i) + (-4*i + i + i)*(1 + 2 - 4) - 5 + 5 - i to y*i + a and give y.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4791527.2 rounded to the nearest 100000?\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-6346)\/(-4))\/(21\/(-42)))\/(-1). Suppose p = -2*p - 5*n + a, -3*p + 2*n + 3187 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*c = 2*g - 86, 4*c = -g + 26. Calculate the greatest common divisor of g and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 6*z - 1. Let k be n(-5). Let h be ((-3)\/k)\/((-4)\/(-24)). Let s be -1 + 1\/2 - h. Is -5 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95312076271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71\/(-14697)*-2093*(-28)\/(-49)?\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from shsrshs. Give prob of sequence ssrs.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -450536 + -3?\nAnswer: -450542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w + 0*w + 1800 = 0. Round w to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 36, -4 in increasing order.\nAnswer: -13, -4, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 + 81 = 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/2494786 and 9\/14?\nAnswer: 2494786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 * -0.04\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1740)\/(-175) + -20 + 9 + (-12)\/(-14)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/95)\/((-87872)\/54920)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/7 - 7535480*s\/7 + 7097932353800\/7.\nAnswer: 2*(s - 1883870)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -96622206 smaller than -96622205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7999, 8553, 9483, 10795, 12495, 14589?\n\"Answer: d**3 + 182*d**2 + d + 7815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -115 - -120. Let l(h) = -7*h**2 - 2. Let g(u) = -17*u**2 - 5. Let a(s) = q*l(s) - 2*g(s). Let r(v) = 6*v**2. Give a(r(b)).\nAnswer: -36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.18 in -1, 0.01, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 48\/5 of a centimeter?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 - 8*w - 46. Give v(13).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 13) in base 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 1512?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 399 from 21.23.\nAnswer: -377.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -19*o - 25. Let j be u(-9). Let a be (-1018)\/j - (0 - 7). Is a greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-5 + -1 + 4 + 8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3263 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22085174 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000537088 rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - g**2. Let q be z(0). What is the closest to q in 0.4, 1, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 493 and 374?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (35 - 15 - 11) + 4 + 1.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/22 in -0.1, 0.137, -3?\nAnswer: 0.137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) -1 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, 37, 1, 5, -1 in decreasing order.\nAnswer: 37, 5, 1, -1, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -l - 2*f, 4*l + 5*f = 1061 - 1027 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5356499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*j**2 - 6 - 79*j**2 - 9 + 19 in the form n*j**2 + x + w*j and give n.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**3\/7 + 51*v**2\/7 - 138*v\/7 - 72 = 0?\nAnswer: -2, 7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r + 15. Let i = -144 + 96. Let d = i - -46. Sort r, d, 4.\nAnswer: r, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*w - 18*w - 5*u + 12, 2*w + u = 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 18*t + 273 = 0. Let w = 17 - 9. What is the remainder when t is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 9:56 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 443.13 - -3.87. Let a = -448.2 + t. Sort a, 2, -7 in descending order.\nAnswer: 2, a, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -1640*w**2 - 1393*w. Let j(f) = 819*f**2 + 698*f. Let c(p) = -13*j(p) - 6*l(p). Find the second derivative of c(b) wrt b.\nAnswer: -1614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30107 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 8, z: 5}. Give prob of picking 2 c and 1 z.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**3 + 14*j - 6. Let h(n) be the second derivative of -n**5\/20 - 5*n**3\/6 + n**2 + 506*n. Calculate -17*h(t) - 6*l(t).\nAnswer: 5*t**3 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -174756, -174751, -174748, -174747?\nAnswer: -174748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -15*6\/9*-1. Let j be (z\/3)\/((-4)\/(-6)). Suppose j*o - 32 = -7. Solve 13 = -p + 2*p + o*m, p - 9 = -3*m for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12499 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 3. What is the closest to 2 in 0.4, i, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2*a + b = 18, 4*a + 2*b + 6 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334 = 248*x - 410 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 4610?\nAnswer: -4607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 8\/159 (b) -1 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1, 4\/3, -8, 0.25 in increasing order.\nAnswer: -8, -1, -0.1, 0.25, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**4 + 288*d**2 + 30*d**4 - 254*d**2 wrt d?\nAnswer: 768*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 12:33 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 2*u = 20, 91871 = -24*l + 3*u + u - 2*u + 91947 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 31 = 9. Suppose -m*o + 36 = 2*o. Suppose 2 = -n - n + 4*y, 5*n - 8 = -3*y. Calculate the greatest common factor of o and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96249607.\nAnswer: 1787, 53861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -15*p**3 + 2582695*p**2 - 111176625840*p + 407612905920 = 0.\nAnswer: 11\/3, 86088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**3 - 6*r**2 + 5*r - 6. Let f = -85 + 99. Let b(t) = 5*t**2 + 182*t**3 + 17 - 171*t**3 + 12*t**2 - f*t. Determine 6*b(i) + 17*g(i).\nAnswer: -2*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16\/(-12))\/((-2)\/(-6)). Let r be 11\/3 - d\/(-6). Suppose c = r*c - 74. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 0*w - 24. Does 21 divide 8\/w*57 + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 23*z + 2 - 23*z + z**3 - 4*z**2. Let s be x(4). Differentiate 3*g**2 - g**2 + s - 5*g**2 wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -318 - -316.87. Let a = 1.23 + t. Let f = 22 + -17. What is the nearest to a in f, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 3, 6446, -4, -1, 11.\nAnswer: -4, -1, 3\/8, 3, 11, 6446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-493)\/(-34))\/(-29)*8\/(-14)*(-7)\/43\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 8. Let s = 6 - p. Sort -4\/7, s, -5 in descending order.\nAnswer: s, -4\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*v + 5*u, 2*u + 2 = 5*v - 5. What is the third derivative of v - 2*w**2 - w**3 + 0*w**3 - 3 wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -13. Let k = -18 - a. Let g(u) = -3*u - 3. What is the tens digit of g(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 700 and 4356800?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/432 and -61\/576.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 times 8.5288?\nAnswer: -597.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12524321 - -514?\nAnswer: -12523403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 15*m + 19*m - 10 = 0, -m = -2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 4*d = 25, 178*a - 173*a = d - 19 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.08, 0.07, -0.1, -7\/5, -24?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b92b (base 13) to base 14.\nAnswer: 15ad8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13868579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 13 + 8 + -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (19\/(-2))\/((-1)\/(-4)). Let o = -30 - u. Let q(d) = 6*d + 20. What is the units digit of q(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {r: 2, q: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*-1*90\/21*(-1547)\/(-34)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 177381?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/10*(1 + -11). Suppose -p - 1 = -t. Suppose 7*b - p*b - 89 = -5*v, 72 = 4*v + 3*b. Is 19 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 161406864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a gram in milligrams?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 3566756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n + 2*s + 26 = 0, -57*s - 39*s = -2*n - 93*s + 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/19? (a) -729 (b) -0.01 (c) -1\/131\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a microgram in nanograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 8*w + 9*w - 10*w. Let b(d) = -5*d**2. Give b(z(k)).\nAnswer: -245*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.6880894 to 2 dps.\nAnswer: 21.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 + (134 - 29612\/220) + -3?\nAnswer: -7\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * -1.38.\nAnswer: -0.1104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 0) + 294\/9. Let o = -67\/2 + z. Which is the closest to 0.2? (a) o (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ab when two letters picked without replacement from {a: 4, b: 14}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07967 and 0.2?\nAnswer: 0.015934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tuhupctr. Give prob of sequence tutu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 + 47*w**2 - 433*w + 385.\nAnswer: (w - 7)*(w - 1)*(w + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11436.07 rounded to the nearest one hundred?\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 16, -5, 2 in descending order.\nAnswer: 16, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**4\/20 + z**3\/10 + 13*z. Determine f so that o(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -153791913.8 to the nearest one hundred thousand.\nAnswer: -153800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38361379.\nAnswer: 7, 5480197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 1 - 4. Suppose -t + 26 = -5*s + 3*t, u*s - 2*t + 14 = 0. Let b = 2 - s. Solve -8 = b*h - r + 5, 17 = -h + 3*r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 - 63*h**3 - 4*h**2 + 73*h**3.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*4*sqrt(2)*-2*4.\nAnswer: 480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6147 - 16231 = -p, -4*s + 44762 = 5*p. List the prime factors of s.\nAnswer: 2, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 27, -210, -0.5, -1.7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-5) + -2)\/(10 - (-309)\/(-30)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4655, -4356, -19383, -40432, -67509, -100620, -139771?\n\"Answer: -q**3 - 3002*q**2 + 2*q + 7656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.27 - -31.27. Let t = j + -31.03. Are t and 0.3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 greater than or equal to 42\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 4*f + 10. Let v be ((-3)\/(-24)*-4)\/(2\/(-28)). Determine g(v).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - -1) + 3 + 9. Let w be 3\/(-12) + b\/(-8). Suppose -2*v - 2*v + 16 = 0. What is the nearest to 0 in v, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d + 8 + 5 - d. Let s be r(-12). What is the biggest value in -4, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 5) + (-12 - -5 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 8*t**5\/5 - 5*t**2 - 67. Let s(v) = 18*v. What is s(b(w))?\nAnswer: 1728*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -290429 + 570880. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 29 = 3*l, -5*w = l + 3*l - 15. Let i be 3\/63 - (-2)\/w. Factor 1\/3*c**2 + i*c**3 + 0 + 0*c.\nAnswer: c**2*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2220 + -1000102?\nAnswer: -220112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -44 - 4b?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 996877.28 to the nearest ten thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -3 in descending order.\nAnswer: 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241668074.\nAnswer: 2, 120834037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 8\/(32\/6)*(281 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65.64 - 1.36. Which is the closest to k? (a) 3\/2 (b) -5 (c) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88570 to the power of 1\/2, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 9:02 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 0*l + 0*l - l**2 + 3*l**2 - 4*l**2 + (2*l - 4*l + 4*l)*(-5*l + 4*l + 0*l) - l**2 - 2*l**2 + l**2 + l**2 + 2*l**2 - l**2)*(30*l**3 + 76 - 76).\nAnswer: -180*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c8c57 (base 16) in base 11?\nAnswer: -1068730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4893?\nAnswer: 3, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -6*l**3 + 7*l**2 - 3*l - 6. Let q be h(-5). Let g = q - 6521\/7. Is g less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363 is divided by ((-124)\/60*5)\/((-1)\/6).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 914, 1825, 2736, 3647?\n\"Answer: 911*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 + 1 + 6*j**3 + 160*j - j**3 - 170*j as z + u*j**3 + m*j + k*j**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4137919*x - 1431841?\nAnswer: -4137919","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-82)\/287*(-112)\/(-64).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 1. Suppose -g*y - 22 = 8. Let q = 9 - y. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/177900 and 74\/26685.\nAnswer: 533700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*j + 16 + 16 - 41 + 9 - 109*j**3 - 19*j**2 wrt j.\nAnswer: -654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/14 + 2 + (-2537)\/301. Let d(f) = f**2 + 2*f - 50. Give d(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 32. Let m be ((-65)\/26)\/(1\/i). What is the units digit of 11*m\/(-4)*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 9 + 37. Suppose -5*t + z - 59 = -2*p, 5*p = 15. Let w(d) = -2*d - 7. Let j be w(t). Solve 0*h = j*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7535025 and 15.\nAnswer: 7535025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -425325 (base 8) to base 10\nAnswer: -142037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 331020658 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96909.\nAnswer: 3, 32303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-6) + (-1)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-6)*(-10)\/(-2). Let u = a - -47\/42. Which is smaller: u or 0.6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*v - 10*v + 7*v)*(1 + 2*v - 1) - 4 - 1 - v**2 + 4.\nAnswer: -21*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 3*w**3\/2 + 153*w**2\/2 + 2025*w\/2 + 1875\/2 = 0.\nAnswer: -25, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.5 - 4.5. Let q = l - -13. Let o = 6 - q. Which is the nearest to -0.1? (a) o (b) 1\/3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -107359961058 - 0.46.\nAnswer: -107359961058.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 1\/2*l**2 + 0*l - 1. Let m(r) = 3*r**2. Determine v(m(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 178680 and 6328?\nAnswer: 141335880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.63 - 0.73. Which is the third biggest value? (a) x (b) -0.4 (c) 5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*y**3 - 22*y + 12201*y**2 + 22*y.\nAnswer: -217*y**3 + 12201*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + -3)\/(3\/(-1923)). Let x = 3519 + d. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -0.4, 1\/3, -20, 3.7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -47350 to the nearest one thousand.\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*4\/12*7407. Let u = k + -528. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -6 + (-2 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 5357397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31164 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/118656 and 139\/17922.\nAnswer: 3441024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 458*k**3 + 886*k**3 - 688858*k**2 + 688856*k**2 + k to the form a*k + i + v*k**3 + u*k**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*g + 23, 13 = 4*p - 4*g - 23. Let y(k) = -k**3 - 3*k**2 - 3*k. Let r be y(-2). Sort r, -2, p in decreasing order.\nAnswer: p, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 10:42 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3051)\/(-3955))\/((-2)\/(-10))*11\/(1287\/42).\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 72 = -2*w, 243 = -4*u + 30*w - 31*w. Let m = u - -86. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-712)\/(-60) - 8\/(-60). Suppose -10*f + 14 = -k*f. What is the units digit of (-1 - -3) + (-49)\/f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**4 - 35*l**3 - 14*l**2 - 14*l + 9921. Let u(k) = -6*k**3 - 2*k**2 - 2*k + 1. Let g(q) = s(q) - 7*u(q). Find the first derivative of g(r) wrt r.\nAnswer: 12*r**3 + 21*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -339, -468, -597?\n\"Answer: -129*t - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*y + 0 + 3 + 20*y - 4*y**2 + 13*y + 2*y**2 as u + l*y**2 + h*y and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -279, -468, -661, -858, -1059, -1264, -1473?\n\"Answer: -2*i**2 - 183*i - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = s. Suppose s = -4*z - 12 + 40. What is the remainder when 20 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 - 542\/9. Let b = -4 + 2. Suppose 10 = 5*s - 3*s. What is the third smallest value in s, k, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -29*s**3\/6 + 69*s**2 - 14*s + 4. Does 15 divide o(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = k - 1, 4*s + 2*k = 32. Calculate the common denominator of 131\/15 + s\/(-21) and -30\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 28.15353 minutes?\nAnswer: 1689211800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 10:34 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 7) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97 + 104. Calculate the greatest common factor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4448921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -a - 3*q, -2*a - 4*q + 18 = -14. Let y(n) = a*n**2 - 4*n + 4*n + 15*n**2 - 20*n**2. Let p(u) = 4*u. Calculate y(p(v)).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1727022\/2347488 + 3\/(-48) - (-4)\/(-9) and 25\/4?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-20)*8)\/((-105)\/1575)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -c331a?\nAnswer: c331a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.118 - 0.059. Let c = l - 0.259. What is the second smallest value in 0.1, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 7:51 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, -8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 634799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2022*h - 3142*h + 486*h = 2174*h + 89076 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11173958 by 19.\nAnswer: -11173958\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 285.1 - 308. Round a to the nearest integer.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 10*g = 25. Suppose -g*s = -s - 12. Calculate the lowest common multiple of 8\/12*s + 12 and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 135 - 147. Is 282\/8 - (-3)\/k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*-2.763366\nAnswer: -1.6580196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7589 + -7659.8. Round j to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**4 - 97400*q**3 - 1266468*q**2 - 3410008*q + 4773874 = 0.\nAnswer: -7, 1, 48713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -182562165.2 and 19.2?\nAnswer: 182562184.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + -1 + 670\/(-16). Let j = 87\/2 + a. Let c = -18 - -18.4. What is the second biggest value in -4, c, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = h - 4. Suppose 0 = 3*o - 5*r - 209 + 49, 0 = -3*o + h*r + 163. Calculate the remainder when o is divided by ((-6)\/(-9))\/(2\/42).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -255*s**2 - 8*s + 31. Let i(f) = 253*f**2 + 6*f - 33. Let x(u) = -4*i(u) - 3*o(u). Let h(m) = -13*m**2 + 2. Calculate -39*h(b) + 2*x(b).\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 7*b - 4. Let k be l(-6). Let w be 1 + -1 + -2 + (-3 - 1). Let m = k - w. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -87? (a) -3 (b) -0.04 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**3 - 1152 + 1152 - 37*z**3 + 11*z**3.\nAnswer: -30*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k. Let u(f) be the first derivative of -129*f**2 + 81. Calculate x(u(j)).\nAnswer: 516*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -27\/2*z**3 + 25\/4*z + 0 - 3\/4*z**5 + 15*z**2 - 7*z**4 = 0.\nAnswer: -5, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2938 + 2932 - (0 - -18).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (19\/(-114))\/((-6)\/16). Which is the closest to -1? (a) w (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -1, 0.03 in decreasing order.\nAnswer: 28, 0.03, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 977 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.13536972 + -1.4\nAnswer: -1.53536972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 13*i - 384 = 0. Let u = 124 + i. Calculate the remainder when u is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.671 - 0.071. Let c = r - 2.3. Let y be 2\/(-3)*1\/(-2). Put c, y, 2\/9 in decreasing order.\nAnswer: y, c, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.0649 * -0.05.\nAnswer: -0.053245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 + 11 + 26 - 90*v**2 in the form b*v + l*v**2 + p and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39888 + 44*k + 39888.\nAnswer: 44*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(20\/(-16) - 0). What is the nearest to 1\/2 in q, -0.2, -11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-16)\/((-256)\/40))\/(5\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 91451158 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099 a factor of 4594827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-138)\/(-416))\/((-1)\/(-4)). Let o = y + -235\/13. What is the common denominator of (-70)\/(-8)*12\/50 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 + 4*f**4 + 5*f**4 + 2*f**4 - 2*f**4 + f**4 + (3*f - 3*f + f**2)*(2 - f**2 - 2) + 0*f**3 - 2*f**4 + 0*f**3 - 6*f**4 + 2*f**4 + 2*f**4.\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4472126, -4472129, -4472132, -4472135, -4472138?\nAnswer: -4472141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8120)\/(-1218)*((-2088)\/(-224))\/29?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.64 - -0.06.\nAnswer: -2.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*n = -904 + 1872. Suppose -s = -3*s + 4. Let v be s\/9 - n\/99. Solve 0 = -4*u - 12 - v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 313223 - 33?\nAnswer: 313130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -459061 by 2.\nAnswer: -459061\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -194.63 rounded to 0 dps?\nAnswer: -195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18267?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 615891?\nAnswer: 3, 205297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 845209951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (3 - 6107) - 6. Round w to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 2 - 0) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 3230.\nAnswer: -16150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 3*s + 33 = -5*n + 3*n, 3*n - 57*s = -59*s - 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r + 14*r + 22*r + 55 - 55.\nAnswer: 25*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-2 - 0 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 11:40 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*g = -4*t - 4, -5*g + 40 = 5*t. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**2 + 362*z + 732 = 0.\nAnswer: -2, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57*40\/10640)\/(-6*1\/(-7)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 3*l**2 + 5*l + 3. Let y be 2 + -1 - (-4 + (4 - 3)). Calculate the remainder when s(y) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -51 * -58873.\nAnswer: 3002523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*w + w**2 + 3*w**2 - 774*w - 2*w**2.\nAnswer: 2*w**2 - 590*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -8*w + 9. Let v(m) = 3*m - 4. Let n(x) = -3*j(x) - 7*v(x). Let s(h) = -h. Determine -n(y) - 6*s(y).\nAnswer: 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (226 - 25*o - 226)*(-12*o - 9*o - o)*(-6*o + 2 - 1 + 10*o - 9*o).\nAnswer: -2750*o**3 + 550*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1018*j - 1012*j = 8466. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-26 - (-18 - -16))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -2*k + 14, 0 = 3*o - 4*k + 6 + 19 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 7:31 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 242*q - 1. Give j(1).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 5837.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 158242 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-seven quarters of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -28*t - 6 - 10 + 14. Let n be h(-3). Let i = -36 + n. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3761 + f + f - 1137 - 1315 - 1309.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183968?\nAnswer: 2, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2808599797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3024, 2810, 2596, 2382, 2168, 1954?\nAnswer: 1740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u + u + 2*u. Let i(l) be the second derivative of l**4\/12 + l**2\/2 + l. Let v(d) be the first derivative of i(d). What is v(y(b))?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 - 7. Suppose -5*m + d = -37. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 680 = -18*r + 4*b, -2*r + b + 272 = 0. What is the highest common factor of 148 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 + 51. Let m(y) = -y**3 - y - 2. Calculate m(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**2 + 52*q - 16. Let o be w(17). Solve -3*p + 3*a + 5 = -o, 3*a = -3*p + 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -22, -83\/4, -3.9, -1?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4610 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3880, -7790, -11702, -15616, -19532?\nAnswer: -23450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 4*t - 4*t)*(-10654*t + 564 - 564 + 2861*t).\nAnswer: -7793*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 5*a + 9 - 44, 5*a = -l + 30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*f**2*w**2 + 23*f**2*w*x**3 - f*w**2*x**2 - 875*w**2*x**3 - 3*w**2*x - 2*w*x wrt x?\nAnswer: 138*f**2*w - 5250*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2638942 is divided by 1071?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1428\/34)\/((36\/(-4))\/(-3))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -12. Suppose 4*s = 8 + l. Suppose -3*u + 82 = -4*d, 10 = s*d - 3*d. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/145, 3, -11, 1\/3, -3 in decreasing order.\nAnswer: 3, 1, 1\/3, -2\/145, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*n - 514471, 0 = -3*n - 2*a + 88796 + 425667. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 697515.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 709*n = 746*n - 266 - 585. Solve -16*w + 73 = -n for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1\/v)**(2\/15)\/(v*(v*(v\/(v*v**1\/v*v*v))\/v*v)\/v)**(1\/2) assuming v is positive.\nAnswer: sqrt(v)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7379 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**6\/b)\/(b**(-1)*b*b)*((b*(b**(-2\/3)\/b)\/b)\/b)\/b*b**(-2\/7)*b*b)**(-47) assuming b is positive.\nAnswer: b**(-2021\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 42 - -4*3\/(-6). Let d = g + -40. Solve -i - 5 = 2*y, i - 3*y + d*y = 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaataaaaaaaaattaaa. Give prob of picking 3 t.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -19 + 3. Let s(x) = x**2 - 8*x + 5. Determine s(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-61)\/(-9) - 4\/(-18). Let c = 10 + j. Suppose 69 = 4*k + c. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -49*m**5\/20 + 43*m**4\/12 - 115*m + 39. Let q(d) be the first derivative of k(d). Find the third derivative of q(s) wrt s.\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/4033?\nAnswer: 2\/4033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/5 + 631614*t**2\/5 - 9999314784*t + 20442037865688\/5.\nAnswer: -2*(t - 157698)**2*(t - 411)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = c + 2*k, 2 = -4*c + 2*c + 2*k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 - 8 + 15 - 5 + (7*l - 5*l - 5*l)*(-4 - l + 4).\nAnswer: 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1893907, 3787814, 5681721, 7575628, 9469535?\n\"Answer: 1893907*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 550*y - 1094. List the prime factors of g(12).\nAnswer: 2, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 9) to base 2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 - 3*i + 16. Calculate x(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/472765 and 40\/2709.\nAnswer: 1280720385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 30. Calculate q(8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 690 - 622. What is the remainder when t is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 4*r - 3. Let d(a) = 40*a + 2411. Calculate the remainder when d(-59) is divided by c(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 6*k + 19. Let l be w(-5). What is the greatest common divisor of 384 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 421, 450, 479, 508?\nAnswer: 537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 divided by -1?\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 64969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 55 = -39. Let c be 0 - (q + (-9)\/((-9)\/(-10))). Let u(s) = 1 + 15*s - c*s - s**2 - 7*s + 1. Determine u(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 6591198.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12 - -3) + -5 + 2. Let b(t) = -t**3 - 12*t**2 - 3. Give b(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 9732256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 0*u - 4. Sort -6, u, -4.\nAnswer: -6, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, w: 1, n: 5, o: 3, v: 3}. What is prob of picking 1 i and 1 o?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43123801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 314782392 to the nearest integer?\nAnswer: 17742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-69.3\nAnswer: 13.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 119*y + 6*y + 170*y + 8*y as n*y + z and give n.\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/429149 or -1?\nAnswer: 2\/429149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 307, -6, -53, 3 in decreasing order.\nAnswer: 307, 3, -5, -6, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.8 + 3.8. Which is the smallest value? (a) -3 (b) r (c) -5 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 2*m**3 - 6*m - 53 + 3\/4*m**4 - 3\/2*m**2. Factor o(f).\nAnswer: 3*(f - 1)*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 25 + 5?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 2*f + 20. Let t(x) = 3*x + 20. Let a be t(-6). Suppose a*s + 4 = 3*o - 0*o, -s - 2 = -3*o. Let l be j(o). Are 21 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 1:24 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-6)\/o*o)\/(o\/o**1)*(o**(2\/3)\/o)\/o**(-2))**36 assuming o is positive.\nAnswer: o**(-156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4104 = -u - 7*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 13, a: 3}. What is prob of picking 2 o?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qooo when four letters picked without replacement from oxoqoooqoooooqo?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 10) in base 3?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -464 divided by -1\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -150 - -24?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 14 + 1 = 2*o, 3*o + 4*p = 12. Suppose -r + 20 = 3*r. Suppose -f = -3*f - 5*b - 8, -r*f + 42 = -3*b. Solve 3*q + 0 - f = o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2868657794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -2\/11, 5954140?\nAnswer: 5954140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/2)\/((-8)\/144). Suppose 3*r - 3*v - o = -4*v, 0 = -3*r - 5*v + 21. Calculate the lowest common multiple of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 270 and 28455?\nAnswer: 512190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 22*y**2 - 21*y + 1. What is q(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9a + 94730?\nAnswer: 94641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**5\/10 - 3687*h**4\/2 - 9217*h**3\/5.\nAnswer: -h**3*(h + 1)*(h + 18434)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6\/11)*r\/r**(-2\/7))\/(r**(-4\/7)\/r**6)*((r**4*r)\/r**(-2\/19))**(3\/25) assuming r is positive.\nAnswer: r**(289832\/36575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 21*y**2 - 3*y + 65. Give p(21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21023, 55368, 89713, 124058?\nAnswer: 158403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 1)*28\/(-112). Suppose k = b + 45 - 129. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -7, 4 in decreasing order.\nAnswer: 4, 1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.58 - -12.6. Let l = 0.18 - 0.2. Let k = l + g. Which is the closest to 0? (a) k (b) 3\/5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 5:51 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14324 is divided by 144?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15545, 15668, 15791?\nAnswer: 15914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3)*-2 - (-15)\/(-18)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-88)\/6)\/(4\/(-18)). Suppose -64*t = -n*t + 8. What is the second derivative of -36*v**t - 223*v - 228*v + 444*v wrt v?\nAnswer: -432*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 7286a548?\nAnswer: -7286a543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 + -47. Suppose s*l + 927 = 9*l. Calculate the remainder when l is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109995 - 58338. List the prime factors of x.\nAnswer: 3, 67, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1749*b - 245323 + 22213 = 2274*b - 693*b for b.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 14. Let w(b) = -2*b**2 + 0*b + u*b + b**3 + 3*b**2 + b**2. Let y(g) = g - 4. Let d be y(2). Calculate w(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4.738524 seconds?\nAnswer: 4738524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txvx when four letters picked without replacement from {a: 1, t: 1, e: 1, x: 2, v: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 10) + 31 + -5 + 3 + -4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -104.2 times -8?\nAnswer: 833.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 285265 divided by -5?\nAnswer: -57053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2499686*m**2 - 833230*m**2 - 833224*m**2 - 833228*m**2.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37 - 39)*(-15)\/(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 11*x + 81. What is r(0)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 12:18 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 565 = 231*l - 4 + 1944 + 1859 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.6, -0.5, -1.8, -121\/12, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.052, -328727 in decreasing order.\nAnswer: 0.052, -0.5, -328727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j. Let v(g) = 8*g + 54. Give o(v(f)).\nAnswer: -16*f - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 + 58 = -3*s. Suppose g + z = s, -2*z + 4 = 2. List the prime factors of (-6)\/21 - -9*215\/g.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 997 = -4*k + a + 1525, 5*k - 4*a - 660 = 0. Calculate the least common multiple of k and 5236.\nAnswer: 15708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -283475 by -10.\nAnswer: 56695\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -85 and -0.0624.\nAnswer: 5.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - 1*(2 + -3). Let q be (w + (-8)\/2)\/(-1). Suppose -5*c = -c - q*z - 41, 4*c = -5*z + 31. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 4*t**2 - 9*t - 16. Let d be x(-5). Let j(y) be the third derivative of -1\/30*y**5 + 1\/12*y**4 + 1\/6*y**3 + 0*y + d*y**2 + 0. Give j(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s - 203 + 6*s - 4*s + 3*s - 200 as w*s + c and give c.\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*y - 40. Let t = 14 - 8. Let p = t - y. Solve -4*a - 6 = p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.08 + 0.08. Sort -2\/7, -3\/2, n.\nAnswer: -3\/2, -2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.73 - 3.63. Which is smaller: b or 478?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3159*j**3 + 24318*j - 245381356?\nAnswer: -9477*j**2 + 24318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 21. Let f(x) = -20. Calculate -3*f(k) - 2*y(k).\nAnswer: -2*k + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 divided by -2?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47725591.\nAnswer: 47725591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2035.\nAnswer: 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ac9 (base 15) to base 13.\nAnswer: -424b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.091863998 to 4 dps.\nAnswer: -0.0919","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l + 360608 - 360208 = 0 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173*(-1)\/2*(-39 - -37) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 58. Suppose 2*g + 5*u + 6 = 0, -3*g + u - 2 = 5*u. Suppose g*h - 14 = 16. Calculate the remainder when x is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 454 - 1815\/4. Which is the closest to r? (a) 1\/2 (b) -2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -197\/581 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 l when three letters picked without replacement from lblbbblllpwlllbujlll?\nAnswer: 55\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = p - 3*n, -3*n + 5*n = -3*p. What is the fourth smallest value in 0.3, p, -2.4, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y + 5. Let c be n(4). Let w = c + -27. Suppose w*k + 3*r - 5563 = 8*r, 2*k - 5584 = -2*r. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 257*0.3.\nAnswer: 77.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18066697.\nAnswer: 11, 73, 149, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -190136*k - 190238. Give g(-1).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**4\/8 - 26*g**2. What is v(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -596783, -596753, -596723, -596693, -596663, -596633?\nAnswer: -596603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61 and 2501?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (25\/3)\/(5 + (-2963389)\/592680). Round g to the nearest ten thousand.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -2785, -20.3 in decreasing order.\nAnswer: 1\/2, -20.3, -2785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (-2)\/4*6. Let l be 9 - (-1 - -1)\/i. What is the highest common factor of 6 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2193 and 0.1574.\nAnswer: -345.1782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**4\/7 - 618*x**3\/7 + 151982*x**2\/7 - 7143918*x\/7 - 7296516\/7 = 0.\nAnswer: -482, -1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25 less than -14857375479?\nAnswer: -14857375478.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s**2*y - 62*s**2 - 1278*s*y + 4*s + 3*y**2 - 17 wrt y.\nAnswer: s**2 - 1278*s + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2314 >= 1528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010001111011101 - 10?\nAnswer: -11010001111011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 4 = -8*u. Let r(p) = -p**3 - 4*p**2 + p. Let y(z) = -2*z**3 - 3*z**2 + z. What is u*y(i) - 3*r(i)?\nAnswer: -5*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*i = -126*i - 128*i + 64 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in 47, -52.21, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12 (b) 80\/13 (c) 0.5 (d) -0.3 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 y when three letters picked without replacement from yyfyfffyyffyfyfzy?\nAnswer: 28\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 4*m - 5. Let f = -103 + 110. Calculate u(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -3\/28, 2 in decreasing order.\nAnswer: 15, 2, -3\/28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8 - 6 + g - 19. Let f be k(17). Solve 5*r - 5*o = 0, 0 = r - f*r + 4*o + 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**2 + 29*u. Let l(i) = -i**2. What is l(n(r))?\nAnswer: -9*r**4 + 174*r**3 - 841*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 6*x - 3987 = -3*x, -2*x + 3992 = 5*c. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.8, -3, 15\/4?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24*(-791)\/(-35) - (-2)\/(-5)?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14686 <= -14692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10895, 7687, 4479, 1271, -1937, -5145?\nAnswer: -8353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 1 = 7. Which is the closest to q? (a) 0.4 (b) -5 (c) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/2 - -7\/6. Which is the closest to 11? (a) -0.2 (b) l (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*o**4 - 277 + 277 + (3*o + 5*o - 4*o)*(-3*o**3 - o**3 - 4*o**3).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-4 + 7 - 11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -15, -5*p + 2*m - 87 = m. Let n be (-9)\/p*(-4)\/18. Which is bigger: n or -1\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-31 - (17 + -11 + -19))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1542564444 - 1?\nAnswer: 1542564443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 655*h - 331*h + 2*h**4 - 3*h**2 - 325*h + h**2 - 3*h**2 - 12*h**3 in the form o*h**4 + x*h**3 + w + c*h**2 + z*h and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6349?\nAnswer: 7, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 12330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*f**5 - 14*f**2 + 0*f - f**2 + 0*f wrt f.\nAnswer: 540*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20.71923 times 27\nAnswer: -559.41921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12178 - 12077.26. What is m rounded to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**2 + 1. Suppose 2*y - 5 = 7*y. Let b be v(y). Suppose -62 = -b*h - 17. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-6) + 1)\/(15\/135). Solve -3*o - 2*r = -3*r - 4, -2*o = r - t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -17*f**2 + 488*f + 1026. Let v(r) = -4*r**2 + 122*r + 256. Let s(i) = -9*v(i) + 2*y(i). Suppose s(q) = 0. What is q?\nAnswer: -2, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**2 - 36*q - 87. Let f be c(14). Let t be (-1)\/3 - (-4)\/3. What is the closest to t in -2, -2\/9, f?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 97 = 4*b, 0 = 5*r + 4*b + b - 560. Let u = 169 - r. Calculate the highest common factor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43534781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*a - 48*a + 5*o = 2*o - 31, -4*o = 12*a - 28 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/11 + 95061016*z\/11 + 1129574595369032\/11.\nAnswer: 2*(z + 23765254)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14550.\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (-8 - -42 - 50) - (-12 + -3)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 8 = 4*m. Solve -1 = p - m*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2\/5 (b) -0.3 (c) -1 (d) 121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9, -7, 5, 7.\nAnswer: -9, -7, -2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4 = 3*n, 3*n = 5*q + 21 - 53. Solve 0 = -2*b - z + 11, -4 + 10 = 2*b - q*z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -0.1?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/5 - 72*r - 708\/5.\nAnswer: -3*(r + 2)*(r + 118)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12116.6 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3954121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -651 + 654. Solve -2*z + 20 = -l*i, -2*z + 4 = i - 0*z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-3 - (-3 - 0)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005035 to six dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/(-3))\/(7\/(-63)). Let m = z + 19. Solve -x - m = -8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136970689 to the power of 1\/2, to the nearest integer?\nAnswer: 11703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/10058207 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h + 9*h + 8*h)*(h + 0*h - 4*h)*(-2*h**2 + 0 + 0)*(5*h - h - 3*h).\nAnswer: 66*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/2, -6, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48210, 96420, 144628, 192834?\nAnswer: 241038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*u + 55 + 16*u - 55 to the form p + x*u and give x.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/(-100) - 1\/(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*j**2*m*n*p + j**2*m*n - 3*j**2*p - 2*j**2 + n*p - 2*p wrt m.\nAnswer: -13*j**2*n*p + j**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + x + 4966 = 0, 2*o - x + 11369 = 1431. Suppose -7489 = -3*w + 4*w. Let f = o - w. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u + 4. Let t be f(6). Let s(k) = -2*k - 12. Let v be s(-7). Suppose 2 = -v*j, 3*y = -0*y + 3*j - 9. Put t, -1, y in decreasing order.\nAnswer: -1, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - k + 36, 12*g + 10*g + k = 7*g - 9*g - 432 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/3)\/(-2 + 14 + 29410\/(-2448)). Let n = 45 + -27. Calculate the greatest common factor of a and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14662 minus -3476?\nAnswer: 18138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 154 + -70. Is s a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 2. Let c be r(2). Let y be -3*4\/c + 18. Suppose 4*j - 24 - 168 = 0. Calculate the greatest common divisor of y and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075665860 to the power of 1\/2, to the nearest integer?\nAnswer: 32797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2214)\/(-3690))\/((36\/(-290))\/6).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.18 in -826, -229, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s = -26*s + 224. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*q**2 + 0 - 6\/11*q**3 + 6\/11*q.\nAnswer: -6*q*(q - 1)*(q + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 0 - 6256*n**2 + 275\/3*n**3 - 6348*n - 1\/3*n**4 = 0.\nAnswer: -1, 0, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 666363237 rounded to the nearest one hundred thousand?\nAnswer: 666400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**5\/5 + 68*r**4\/5 - 4*r**3\/5 - 68*r**2\/5 = 0. Calculate r.\nAnswer: -17, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7a (base 15) to base 4.\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-21)\/(-14)*24\/6)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/195472 and -83\/195472.\nAnswer: 195472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.05 and 12108076.\nAnswer: 12108075.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 20. Which is the closest to u? (a) -3 (b) -0.4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 6*u + 8. Let q = -1 + 6. Let p be 4\/q*35\/(-2). Let l(h) = -h - 1. Give p*l(j) - 2*r(j).\nAnswer: 2*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*t + 3*k - 0*k, 4*t - 5*k - 17 = 0. Suppose t*a - 4 = -4*s, 2*s - 1 = -2*a + 1. Let w(h) = -2*h + 4. Give w(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**3 + r**2 + 163 - 151 - r**2 + 2*r**3 to u*r**2 + a + y*r**3 + v*r and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113799, 227617, 341435, 455253?\nAnswer: 569071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 66*g - 1000. Let i be p(26). Let y(d) = -224*d - 1. Let n be y(-3). Let a = n - i. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 21231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 520200 (base 14) to base 11.\nAnswer: 161a439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -4, -1, -3 in descending order.\nAnswer: -1, -3, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4852*g**2 + 67929*g - 5. Determine t(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -99*j + 103*j - 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 + 20*z + 60.\nAnswer: -5*(z - 6)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r - 3*r**2 + 1 - 4*r**3 - 2 - 1 + 20*r**4 + 5*r**3 + 2*r in the form k*r + i*r**2 + z*r**3 + h + p*r**4 and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 15*b**2 - 6*b + 19361. What is the tens digit of x(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 0*h = 4*d + 8, -5*h + 2 = -d for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -333? (a) 0.1 (b) -1\/5 (c) 157 (d) 5 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n - 1. Let h be c(-4). Let y = h - -10. Calculate the lowest common multiple of 1 and 4 + 1 + -3 + y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 185 = -5*p, -7*p + 6*p + 4*b + 22 = 0. Suppose 6*a + p = 7*a. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/28)\/(4\/(-28)). Let q(l) = l**2 - 2*l + 1. Let u be q(i). Solve -u*w + 0*w = -8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2200)*-3 - sqrt(2200)) + sqrt(2200) - sqrt(22))\/(-1*sqrt(1100)).\nAnswer: 31*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000 (base 5) to base 6.\nAnswer: 3250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 5:26 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 4. Let k be u(7). Let a(r) = -4*r + 4*r**2 + 3*r - 5*r**2 + 34 + r**k. Calculate the remainder when a(0) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3392*v + 2901*v - 6321*v.\nAnswer: -28*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11592 divided by -18?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/665 and -31\/14.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 6:14 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -20, 26, 10, -5, 1 in decreasing order.\nAnswer: 26, 10, 1, -4, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -8 + 10 + 3 + -8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 311099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nwnm when four letters picked without replacement from {u: 1, n: 6, w: 5, m: 2, c: 3}.\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83 - 80. Suppose 2*q + 5*g - 9708 = 6*g, 0 = w*q - 3*g - 14559. Suppose q = -9*r + 14*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in -150\/7, 4\/3, -2, -37\/5?\nAnswer: -150\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4594 = 4*d + l, -1816 = -2*d + 2*l + 466. Calculate the greatest common factor of 74 and d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 11*x**3 - 1930*x**2 - 69216*x - 2. What is j(206)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8400 - 1188*p - 8400)*(3*p**3 + 2*p**3 - 3*p**3) to the form l*p**4 + y + m*p + f*p**2 + i*p**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 24*a - 546. Determine l(23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -179 - -174. What is the common denominator of (1\/6)\/(8\/(-42)) and 36\/(-10) + (t - -7)\/(-4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4374)\/(-45))\/((-4)\/(-10)). Let q = h - 1309\/6. What is the common denominator of -3 + 2 - (-31)\/(-2) and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*x + 37*x - 6*x - 22*x + 5.\nAnswer: -22*x + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**3 + 12*x**2 - 21*x - 1. Give c(6).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25725 - 25725 - 3*x + 8*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/18 - 4\/6. Let f = -4\/9 - j. What is the second biggest value in -2\/5, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.36 (b) 4 (c) -3\/10367\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 51*z**2 - 134*z**2 - 95*z**2 - 6 + 514*z**2 + 2*z as k*z + y*z**2 + n and give y.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 303913.64 to the nearest 100.\nAnswer: 303900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 792 by 4.\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 5:07 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*((-4)\/(-8) + (-5)\/(-6)). Suppose n*r + 3*g = 2*g + 338, -4*r = 3*g - 342. What is the greatest common divisor of 60 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d. Let k(z) = 6*z + 1. Let m(i) = -3*k(i) + 2*t(i). Calculate the smallest common multiple of 15 and m(-3).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 90 + -45. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 9*a - 11. Let r be m(7). Let h be 5 + (1 - -2)\/r. Let l be (-2)\/h - (-240)\/18. Solve -2 = 5*k + l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 373\/1508 + -3\/52. Let u = x - -1677\/638. Find the common denominator of -1\/3 and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(2\/15)*m*m\/(m**(2\/25)*m)*m*m*m\/m**(1\/4) assuming m is positive.\nAnswer: m**(367\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2784 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -336 - -368. Which is greater: 40 or f?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.816092 minus 1666?\nAnswer: -1666.816092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 523646 (base 7) in base 12?\nAnswer: 44242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -10. Let m be -3 - c*(-4 + 3). Let o be 9\/(-27) + (-44400002)\/m. Round o to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95140 is divided by 65?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -6 - (-3 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**4\/6 + b**3\/6 + b**2. Let k(i) = i**2 + i - 1. Let d be k(-3). Let w(n) = -n. Give d*w(q) + p(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 5*x = -3. Suppose -x*z + 7*z = -16. Sort z, -5, 2 in decreasing order.\nAnswer: 2, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7340 - 6642?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (-3 - (-15 - (-17 + 11))).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 3:02 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -24536 (base 7) to base 12\nAnswer: -3892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**5\/5 - 3*o**2. Let m(j) = -j. Determine r(m(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 9\/2*s + 0 - 21\/2*s**3 - 33\/2*s**4 + 33\/2*s**2 + 6*s**5 = 0.\nAnswer: -1, -1\/4, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/96 + 283\/480. Let i = 1.9 + 1.1. What is the nearest to i in -0.3, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*p + 19, -14 = -2*p - 4*k + 26. Calculate the lowest common multiple of 2 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1249234 to 2 decimal places.\nAnswer: 1.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - a + a**2 - a**2 + 3*a - 6*a**3 + a**2 in the form x*a + b*a**2 + u*a**3 + c and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117425649 is divided by 3385.\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -473054294\/3 or -157684764?\nAnswer: -157684764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a factor of 21981816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - v + 3*v = 1, 3*y - 5 = -4*v. Suppose 0 = 3*c, -y = 3*o + c + 3*c. Let a = 944.1 + -946. Is o < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 3. Let p be s(5). Let h = p + 6. Let b be (-20)\/(-15)*3\/2. Solve -h*r + b*r = 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 34. Let a(g) be the first derivative of -2 + 2\/5*g**5 + 0*g**2 + g**m + 2\/3*g**3 + 0*g. Factor a(i).\nAnswer: 2*i**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1560664 and 2436.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1561 + 0*t**3 - 9*t**3 + t + 7135 - 2*t**3.\nAnswer: -11*t**3 + t + 5574","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -148790 and 1823894.\nAnswer: 1675104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*h**4 + h**4 + 153*h + 79*h - 317*h + h**4 - 6*h**4 + 0*h**4 + (h**2 - 2*h**3 - h**2)*(2*h - 4 + 4).\nAnswer: -10*h**4 - 85*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 141\/(-329)*(-2)\/(-3)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((0 - 1) + 1)*(-2 - -1). Solve h = -2*j + j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 40?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 6*x**2 + 10*x - 4. Let o be s(4). Let p(t) = 2*t + 4. Determine p(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 - 34*g**3 + 4*g**2 + 46*g**3.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183721 is divided by 352.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2428273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 w when three letters picked without replacement from iiiiwijiijiiwiiwijjw?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-4))\/(9\/4). Let r(b) = 6*b + 14. Let h = -54 + 52. Let g be r(h). What is the closest to g in 2\/9, p, -1\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -612.055 to the nearest ten.\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from {l: 1, a: 2, c: 1, y: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -241*a**2 + 620*a**2 + 820*a**2 to the form h + n*a + j*a**2 and give j.\nAnswer: 1199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (0 - (4 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 6:42 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.3 (b) -0.01 (c) -2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2263 is divided by 2048.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3 - 2*k - k**3 - 12*k - 9*k**2 + 2*k + 3*k. Suppose -40 = -7*p - 96. What is n(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -17*y - 35. Let h be z(-27). Let t = -262 + h. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13995224 and 1656.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - ((-56944)\/40)\/((-2)\/(-10)). Calculate the highest common divisor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.02 - -6. Let x = r - -0.02. Let t = 0.1 - x. Is t > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - (sqrt(84) - 5*(sqrt(84) - 2*sqrt(84)) - sqrt(84) - sqrt(84)) - sqrt(84))\/(5*sqrt(24)\/sqrt(2)) - 6*sqrt(35)\/(sqrt(45)\/sqrt(9))*6)**2.\nAnswer: 236992\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6*(6\/4)\/((-345)\/(-230))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*g = 298*g - 3654 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -73, -76, -81, -88, -97, -108, -121?\n\"Answer: -x**2 - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 263895538 to the power of 1\/2, to the nearest integer?\nAnswer: 16245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 689493 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4696139, 9392283, 14088427, 18784571, 23480715?\nAnswer: 28176859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 13 - 4. Suppose n*r - 1 = -3*d + 44, 2*d = 4*r. Solve -2*g + d = 0, 0 = 3*v - 5*g + 22 + 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u - 4802. Let v(t) = -6. What is -v(w) - z(w)?\nAnswer: -w + 4808","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + n - 7. Let j be l(-4). Let f = -70 - -112. Suppose j*d - f = -7. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 1503.\nAnswer: -1502.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 849063.1km?\nAnswer: 849063100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 22*o**2 + 3*o. Let b be r(-2). Let n = -10 - -47. Let w = b - n. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(180) + (sqrt(180) - (sqrt(180) + 1)))**2.\nAnswer: -60*sqrt(5) + 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97613.\nAnswer: 97613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -16525684841062 plus 3?\nAnswer: -16525684841059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -9*i**3 - 3*i**2. Suppose -3*b + 16 = 1. Let p be k(b). Round p to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -19, -25, -5.\nAnswer: -25, -19, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00119929402 to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 840.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*k - 55*k = 55*k - 9 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3428.832 and 1.25.\nAnswer: -4286.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11268706.22 rounded to the nearest 100000?\nAnswer: 11300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 1312 = -40*i - 1210, 36 = -4*w - 4*i for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -125151105 - 2?\nAnswer: -125151111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 16*a**3 + 2*a**2 - 1. Calculate f(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**2 - 239*y - 3408. Give f(-62).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*k + 7*k - 19*k - k.\nAnswer: -37*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -153.97?\nAnswer: -153.97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1026\/504)\/(-19)*16\/(-6)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2))**(-1\/16)*((n**(-1\/6)*n)\/n)**43 assuming n is positive.\nAnswer: n**(-341\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48 or 44\/17?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6909382\/363 + -1248465905\/82401. Let k = g + -3883. Are 0 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76 - -190. Suppose -17*q = -10*q - a. Calculate the remainder when 527 is divided by q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/28)\/(100\/(-1960)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32816003 to the power of 1\/2, to the nearest integer?\nAnswer: 5729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -84 or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*z - 4*i, 3*z - 4*z - 5*i = 22. Let c(b) = 27*b**2 + 9*b. Is c(z) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3155 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55187.09ml to litres.\nAnswer: 55.18709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -15*l - 72 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2 - 5 - 3*g**2 + 6*g - 3*g**2. Let w(v) be the third derivative of 23*v**5\/60 - 17*v**4\/24 + 7*v**3\/3 + 10*v**2. What is -6*w(b) - 17*x(b)?\nAnswer: -2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-1) - -5*1. Suppose -6 = -d*y - 30. Let m be y\/8*(-8)\/15. What is the third smallest value in m, -3\/4, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 take away -0.0293?\nAnswer: 0.1493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 2958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t - 116. Let j be r(40). Solve 7*l = j*l + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 94 and 1438529?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlrlblqlhrqh. What is prob of picking 1 l and 1 b?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 13*f**2 - f + 15. Let x be k(13). Suppose x*n - 52 = -58. Let b be 2 + (-8)\/(-12)*n. Which is greater: 2\/189 or b?\nAnswer: 2\/189","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 divided by 69.\nAnswer: -53\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((0 + sqrt(832))*1 - -5*sqrt(832)*4).\nAnswer: -2 + 168*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**3 + 2*a**2 + 3*a + 72. Calculate the smallest common multiple of 126 and k(0).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*a - 25963 + 974, -2*a - 24974 = -2*b. Does 17 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 368 + -335. Solve -8*f - 1 = -l for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0263 times -0.051?\nAnswer: -0.0013413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -60 + -42 + 34?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.147788036 to four dps.\nAnswer: 0.1478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*r + 4*k, 0 = -r - 5*k - 23 - 0. Let d = r + 0. Let n be (-8 - 17)\/5 + 69\/15. What is the nearest to d in n, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0.4 (b) 2\/9 (c) 138576 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4 + 2 = 0. Let g(x) = x**2 - 3*x + 6. Let c be g(4). Solve 3*r + r + c = h, -h = u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4152 (base 6) to base 13.\nAnswer: -569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4 - 0. Let n be (1\/11)\/((-2)\/(-15)). Let d = 9\/110 - n. Which is smaller: o or d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 280.967269 - -0.042731. Let q = h - 278. Let v = q + -0.01. Which is the biggest value? (a) 4 (b) v (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 44, 4, 5, 3 in ascending order.\nAnswer: 3, 4, 5, 13, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*p = -12, -14 = -u + 5*u - 5*p. Let h(v) = -5*v**2 + 4*v. Let f(w) = -w**2 + w. Give u*h(b) + 6*f(b).\nAnswer: -b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 11:47 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (12 - (-6 + 17)). Let o be -6*((-1)\/(-3) + 1). Suppose -6*g = 2*m - 2*g - 8, -12 = -3*m - 3*g. Put o, m, 5, z in descending order.\nAnswer: 5, m, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.07852 rounded to one decimal place?\nAnswer: 17.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -410*b + 5. Calculate the remainder when i(-1) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-14) + (-16)\/7. Suppose 36 = -172*m + 168*m. Let g be (-1)\/m + (-1540)\/(-315). Sort -1, r, g, -3.\nAnswer: -3, r, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, w: 5}. What is prob of picking 2 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 854479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((((l\/(((l\/(l\/(l*l\/l**(-8))))\/l*l)\/l))\/l)\/l)\/l))**(-2\/119)\/(l\/(l\/((l\/(l*l**3*l)*l)\/l)))**(-32) assuming l is positive.\nAnswer: l**(-15256\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34200 and 85026.\nAnswer: 484648200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) -1\/2 (c) -10\/9 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 7)*(-2*w + w - w)*(-21 - 15 - 8) as v + a*w and give a.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 - (-46 + 44 + (3 - -3) + 7)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**7\/105 + 37*l**6\/30 + 19*l**5\/2 + 88*l**4\/3 + 140*l**3\/3 - 28*l**2 - 5*l. Factor z(w).\nAnswer: 2*(w + 1)**2*(w + 2)*(w + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3741*h = 1955*h + 1924*h - 3450 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -24. Suppose 2*r = -3*j - 0*r + 2944, -4*j = -u*r - 3897. What is the common denominator of -49\/6 and 4*-1 + j\/36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 7\/5, -3, 2\/3, 0?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2631, 2632, 2633, 2634, 2635?\nAnswer: 2636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9\/13 - -501\/65. Find the common denominator of t and 20\/583.\nAnswer: 2915","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 128\/3 + -43. Let v be 1*((-2)\/(-5) - (-13)\/5). Let f = 0.8 - -0.2. What is the third smallest value in v, u, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 23*u**2 + 57*u + 263. Calculate r(-21).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*c**2 - 4*c**2 + 155 - 191*c**4 + 48*c**3 - 48*c**3 wrt c?\nAnswer: -764*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -611676933 - 73226\nAnswer: -611750159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40 - (-52 + 66)) + 20.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 33*o**2. Let d(y) = 5250*y - 135. Let s(t) = -39*t + 1. Let k(w) = 2*d(w) + 270*s(w). Give i(k(l)).\nAnswer: 29700*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**2 + u**2 - u**2 + ((-3 + 0 + 2)*(-1 + 2 + 1) + 1 + 2 - 2 + 0 + 3 - 6)*(48*u**2 + 279*u**2 - 2038*u**2).\nAnswer: 6846*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 7:04 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - c**2 + 11. Let l(t) = t + 1. Let z be l(10). Let o = z + -5. Let g(b) = 2*b - 12. Let v be g(o). What is y(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38394 - 38210. Solve 26*j = 54 - h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -v - 4*u + 3943, 4*u + 7886 = 2*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/2301 and 77\/6.\nAnswer: 4602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12 - (36\/(-15) - 6\/(-15)). Let z be j\/(-4) - (-18)\/(-12). Let k(w) = w**3 + 4*w**2 - 2*w + 7. Determine k(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2. Let p(s) = -398*s**2. Calculate g(p(r)).\nAnswer: -158404*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1 - (-6 + -8 - -13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 + 30. Let z = -61 + 42. Let t = z - h. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 97131*u - 4174766. Calculate r(-43).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3*j**2 - 762*j + 47955 = 0.\nAnswer: 115, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -139*o - 644 + 3285 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 1:39 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m + m - 7*m**2 - 24 + m - m - 276 with respect to m.\nAnswer: -14*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*f + 4*y - 150, 0 = -y. Let j be ((-20)\/f)\/((-6)\/(-10)). Factor 2\/9*k + j*k**2 + 0.\nAnswer: 2*k*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2221 + -211?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m - 5. Let f = -34 + 39. Suppose 0 = -2*q + f*y - 3 + 15, 6 = -3*y. Let n be -2 + 1 + -4 + q. Give u(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 6:29 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208*w = -163*w + 76*w + 484. Let i = 0.36 + 1.94. What is the third smallest value in 3\/5, 1, i, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115638?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39641 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 1479\/58*(1\/(-1) - -5)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12721777*d - 2 - 12721777*d + d**2.\nAnswer: d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*o = -80*o - 55 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**6\/720 + 7*f**5\/120 - f**4\/6 + 2*f**2. Let r(j) be the second derivative of o(j). List the prime factors of r(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -117 - -271. Let b = n - 157. Put b, -30, -4 in descending order.\nAnswer: b, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15412*t = 15342*t + 1190 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**3\/6 - 5*f**2 + 2*f. Let a be t(8). Let l be a\/7 + 11\/(-35). Put 5, 0.1, l in ascending order.\nAnswer: l, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 654*q**2 - 290*q**2 - 4 - 348*q**2.\nAnswer: 16*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 515 or 513?\nAnswer: 515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3884 + 3985. Suppose 4*c = 3*c + 151. Let w = c - i. Calculate the smallest common multiple of w and 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(-3))**(-15))**22)**(1\/49))**50 assuming y is positive.\nAnswer: y**(49500\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1997938 - -73144\nAnswer: -1924794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-29 - 1)*3\/(-6). Suppose -s + w = 4*s. Let r(b) = b**3 - 5*b**2 + 5*b - 3. Determine r(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 164 + 412 = 5*s, 5*s - 212 = -d. What is the remainder when 555 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 14*u + 40, 3*u = -3*x + 8*x - 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.9 - 18.97. Let y = -8.069065 - w. Round y to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3373440998?\nAnswer: 2, 131, 409, 31481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-nine halves of a litre?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 847246927?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 30876 = -3*k, -j - 11*k + 10293 = -13*k. Let q = j + -185111\/18. Calculate the common denominator of q and -65\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58 or 1088?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -123073*b**6 - 50015*b**2?\nAnswer: -14768760*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 6*j - 1. Suppose -3*i + 3 = 9. Let c = -3 + i. What are the prime factors of x(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -278.61923 + -0.06077. Let n = o + 283. What is n rounded to 1 dp?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*r - 1 = 0, 5 = 3*r - 7. What is the second derivative of -3*v**x + 6 - v - 6 + 7*v**3 wrt v?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10491542 + 10491542 - 178027*g.\nAnswer: -178027*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -2.4 (c) 6\/7 (d) -2.3 (e) 17 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j - 8. Give d(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96407 is divided by 24097?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085172992 a multiple of 2432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 241\/((-136647)\/324)*((-658)\/(-16))\/(-1)?\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 332752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001226 rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 13. Let s be d(-7). What is the units digit of -2 + 22 + s + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 900186?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**3 - 7*f**3 + 6*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-9))\/((-4)\/(-3))*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30441*b + 24200*b - 59413*b - 40174*b.\nAnswer: -105828*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2744*y - 2*d + 23 = 2747*y, 2*d - 5 = 3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 11:23 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/21)\/((-1)\/(-7)). Let a be (-7)\/((-105)\/(-6))*-5. Solve 2*c = -a - v for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 4*w**3 - 2*w - 77. Let n(r) = -3*r. Calculate g(n(z)).\nAnswer: 108*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17257*c - 3*n = 17260*c + 42, 2*c - n = -25 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(1\/41)\/y)\/y)\/y)\/y**28 assuming y is positive.\nAnswer: y**(-1270\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.068, 0.2, -0.0483, 2 in ascending order.\nAnswer: -1, -0.068, -0.0483, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22 and -184?\nAnswer: -4048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -18*q**2. Let z(s) = 215*s**2. Give -35*n(p) - 3*z(p).\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1180083\/65 + -235884\/13. What is m in -u*m + 18\/5 + 21\/5*m**2 = 0?\nAnswer: 3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1 (b) -3449 (c) 376 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164 = 74*s + 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 181.9 and -232.3734802.\nAnswer: -50.4734802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 7) + -1 + -3 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*t**4 - 619*t**3 - 6*t**2 + 36*t wrt t.\nAnswer: 48*t - 3714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164842149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, y: 6}. What is prob of sequence xy?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23.99999985 - 24. What is b rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39791*c - 39788*c - 40 = -5*f, 0 = -46*c - 4*f + 250 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/12230 and 89\/12230?\nAnswer: 12230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 + 4*c**3 + 73*c**4 - 70*c**4 + 3*c**2 in the form a*c**3 + i*c**2 + k*c + b*c**4 + h and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 1.4 (b) -40\/43 (c) 1 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58 and 7049871?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 20*y**2 + 154*y + 52. Determine v(6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 0 (c) -3 (d) -8491 (e) 1 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93650, 374546, 842700, 1498106, 2340758, 3370650, 4587776, 5992130?\nAnswer: 7583706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l**2 + 4*l + 13. Let y(d) = 7*d**2 + 5*d + 14. Calculate 3*y(j) - 4*z(j).\nAnswer: -3*j**2 - j - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295255 is divided by 1367.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*q**6*y**2 - 31*q**6 + 3*q**2 + 38*q*y**2 + 3*y**2 wrt q.\nAnswer: 720*q**3*y**2 - 3720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 4:44 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 14*y + 675. Give x(-47).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/7235616 and -37\/609.\nAnswer: 50649312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319143*r - 319112*r + 341 = 0 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + y**3 + 4)*((1 + 1 + 0)*(0 - 3 + 1) + 2 + 3 - 7)*(0*y + 2*y - 3*y) in the form l*y**3 + s + r*y**2 + m*y**4 + c*y and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g**2\/7 - 8740*g\/7 + 36856\/7 = 0. What is g?\nAnswer: 17\/4, 542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 12*k**2 - 71*k + 13. Let t(d) = -d**2 + 21*d - 1. Let l(j) = -o(j) - 3*t(j). What is l(3)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*l + 9*l + 12*l + 9*l in the form i*l + t and give i.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31.5 + -31. What is the nearest to 0.1 in 2, 2\/3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 5*m - 1. Suppose 25 = 5*q - 3*y, -q + 2*y - 2 + 7 = 0. Let t(k) = k**2 - 3*k - 1. Determine q*t(x) - 3*p(x).\nAnswer: 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -12 - 21) + 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 3:29 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2324720*h**3*o + 2*h**2*o - 9*h**2 + 3*h*o + 100*h + 505 wrt h.\nAnswer: 13948320*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*r - 4*r + 45, 0 = -4*r - i + 153. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i - 3*i + 6*i - 178*i**2.\nAnswer: -178*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 + (104 - 60096\/320)?\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3872 and 158.\nAnswer: 305888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 11*g**2 + 7*g + 12. Let a be q(-11). Suppose 0*v - 101 = -v. Let w = v + a. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**5\/9 - 56*m**4\/9 + 280*m**3\/9 - 160*m**2\/9 - 92*m\/3 + 24 = 0. Calculate m.\nAnswer: -18, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.2 - -6. Let d = t + 0. Let o be 7\/(-28) - 5\/(-4). Sort o, d, 0.1 in decreasing order.\nAnswer: o, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 910*s = 257*s - 333*s - 32538 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 6\/173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 8. Suppose 0 = t*d - 14 - 6. Differentiate -2 + 3*y**4 + 8 - y**d with respect to y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q**0*q*q)\/q))**41*(q\/q**5)\/q**(-3)*((q**0\/q*q*q)**(-28))**(-17) assuming q is positive.\nAnswer: q**475","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4468295, 8936593, 13404893, 17873195, 22341499, 26809805, 31278113?\nAnswer: 35746423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*m + 2 = 0, -5*b + m + 4 = -2. Let f be 1\/2*(8 - 8). Let r = b + f. What is the third biggest value in 5, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -5*n + 20. Solve 3*d - 1 = -n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 582?\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90 + 90.2. Suppose -3*n - 103 = -106. What is the biggest value in n, q, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y - 6015 = -5839. Solve -y*t + 23 = 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/21 - 110\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 + -75)*(3\/1 + (-72)\/20). Solve -g = -144*v + 137*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32364 * 0.4\nAnswer: -12945.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/3))**(-23)\/(((u\/u**(-5)*u*u*u)\/u)\/(u**(-2\/19)\/u*u))*(u\/(u*u**(2\/7)\/u*u))**(-10)*(u**(2\/9)*u*u)**(-4\/35) assuming u is positive.\nAnswer: u**(2591\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 7 = -n, t + 2*t = -4*n - 26. Is n less than or equal to -22\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d - 7. Let t be x(7). Suppose 0 = 3*u - t*k - k - 133, 0 = 2*u + k - 82. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52.72*-2.\nAnswer: -105.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 y when three letters picked without replacement from {y: 2, w: 5}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*g = -5, 3*g - 3 = 6*g. Calculate the least common multiple of 16 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 3, 0.52 in increasing order.\nAnswer: -10, 0.52, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 + 35 = -6*u. Let a be (1\/u)\/(31\/310). Let n(b) = -b + 11. Let f be n(8). Solve -f*i - a = -5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azalzmzataxttlt. Give prob of picking 2 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b - 9. Let i(t) = 3*t + 8. Determine -3*c(q) - 4*i(q).\nAnswer: -3*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17189 less than or equal to 842278\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12895?\nAnswer: 5, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*f**4 + 25950*f**3 + 88605*f**2 - 130601160*f + 3166134480 = 0. What is f?\nAnswer: -699\/5, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a day in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5973*b + 830 - 316*b - 2121 wrt b?\nAnswer: -6289","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 104, 83, 28, -79, -256, -521, -892?\n\"Answer: -3*g**3 + g**2 - 3*g + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2905973?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*t**4 + 5*t**4 + 11*t**4 + (2*t**3 + 0*t**3 + 0*t**3)*(-2*t + 3*t - 8*t).\nAnswer: 23*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96.465867 + -0.202867. Let v = 0.137 + r. Let t = -97 + v. Which is the biggest value? (a) -2 (b) -0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1665664140?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.3 + 10. Let l = 84 - 79. What is the fourth biggest value in 3\/7, 4, a, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n + 5. Let z be r(3). Let v be (-54)\/z*(-16)\/(-12). Let s = 16 + v. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 11*r - 16 = -7*r, l + 2*r + 4 = 0. Suppose -3 = u, b = 5*b - l*u - 22. Let -2*o - 2\/3 + 4\/3*o**3 + 2*o**b + 2\/3*o**5 - 4\/3*o**2 = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**3*j)\/(j\/((j\/(j**(-9)*j))\/j)))\/(j*j\/(j\/(j**5\/j)))**44)**(-1\/42) assuming j is positive.\nAnswer: j**(209\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s, -s + 26015 = -3*g + 8*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6593 - -6595. Solve 0 = 4*v - 3*y - c + 5, 5*v = 3*y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1903581 minus 3?\nAnswer: -1903584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*((-1)\/2 + 0). Suppose 3*b - 2 = 5*y - 4, -r*b = -3*y + 1. Suppose -15*a + 118 = 43. Sort a, b, -5 in increasing order.\nAnswer: -5, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 127507\/65208 + 8\/2717. Find the common denominator of i and 91\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2. Let z be 4\/7 - 128\/28. Let w = z + 6. Let x(u) = 4*u**2 + 3*u**2 + 3*u**2 - w*u**2. What is b(x(r))?\nAnswer: 64*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7174991?\nAnswer: 7174991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -11*r**2 + 3*r + 18. Let d(f) = 13*f**2 - 4*f - 17. What is 5*d(z) + 6*x(z)?\nAnswer: -z**2 - 2*z + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 112552 to the power of 1\/2, to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225344 and 1456.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.4, -12, -0.1, -2 in descending order.\nAnswer: 0.4, -0.1, -2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19.3847? (a) 30 (b) -0.4 (c) 0 (d) 4 (e) -3\/2 (f) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 41*g - 117687 - 63601. What is the thousands digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 854 = o - 2895, m + 6143 = 3*o. What is the thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20049*x**3 - 20047*x**3 + 55*x**2 + 16 - 55*x**2.\nAnswer: 2*x**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.89271829 to 4 dps.\nAnswer: -0.8927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1013*k**5*m**2 - 229*k**2*m**2 + 2*k*m**2 wrt k.\nAnswer: -60780*k**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1155 + 1144 - (-74 + -2 + -1 + 2 + -1)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -6*y - 26. Let p be j(-6). Let b(l) = -l**3 - l**2 + 1. Let n be b(0). Let d be n\/(-3) - 31\/(-3). Calculate the greatest common factor of d and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 9*u**3 + 15*u**2 - u. Let j(s) = 5*s**3 + 8*s**2 - s. Determine 3*d(z) - 5*j(z).\nAnswer: 2*z**3 + 5*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 376 and 9642872.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.15 + -0.29. Let n = x - -4.04. Let z = n - 0.6. Which is the second biggest value? (a) -1 (b) -0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 15*g**2 - 21*g + 35. Let q(u) = -10*u**2 + 13*u - 23. Give -8*q(j) - 5*y(j).\nAnswer: 5*j**2 + j + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2271, 1123, -1751, -7215, -16133, -29369, -47787, -72251?\nAnswer: -103625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -22. Suppose -2*t + i = -5*j, -3*j + 1 = 5*t - 8. Solve 1 + 14 = t*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 + 44. Let f = -11 + g. Let n = -7.974 - f. Round n to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 58*p**5 + 78*p**3 - 78*p**3 + (2 - 2*p**3 - 2)*(-p**2 - 3*p**2 + 3*p**2) - p**5 + 3*p**5 + p**5 + 4*p**2 - 4*p**2 - 2*p**5 + 2*p**4 - 2*p**4 + 3*p**5.\nAnswer: 64*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -90*q + 308 - 1388 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.35 - -0.31. Let a = f - 0.06. Let z = 0.07 + 0.23. Put z, a, 2 in ascending order.\nAnswer: a, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-23)\/y)\/y**11*(y**(4\/11)*y)**(-2\/17) assuming y is positive.\nAnswer: y**(-6575\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 1 - 1)*(-2*c - 3*c + 3*c) - 2 - c + 2 - c + 0*c - 3*c)*(4*c - 4*c + 2*c**2).\nAnswer: -18*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -7*f**3 + 2*f + 5. Let a = 4 + -9. Let d(s) = -s**3 + 1. Let t(w) = a*d(w) + k(w). Find the second derivative of t(i) wrt i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.4 + 2. Let l = -0.6 + t. Let b = l + 0.00000036. Round b to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -t**6\/120 - 21*t**5\/20 - t**4\/12 + 50*t**3\/3 + 17*t**2. Find the second derivative of y(j) wrt j.\nAnswer: -6*j - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 15) to base 3.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -5*a**2 + 2310*a = 0.\nAnswer: 0, 462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164 divided by 104693.\nAnswer: -164\/104693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 54. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7327531889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -108, 5, 1 in descending order.\nAnswer: 5, 1, -2, -3, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.32 and 3010?\nAnswer: -963.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7426 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2643951, 2644009, 2644087, 2644191, 2644327, 2644501?\nAnswer: 2644719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r, 1 = 3*w - 4*w + 2*r. What are the prime factors of 172\/(-1)*w\/2?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyysysoybboys. Give prob of picking 2 o and 2 y.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*2\/16 - (-21)\/(-4). Which is the fourth smallest value? (a) z (b) 4 (c) -4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6799423 minutes in milliseconds?\nAnswer: 40796.538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*b**3 - 1420*b**2 + 32004*b - 196196.\nAnswer: 4*(b - 91)*(b - 11)*(3*b - 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 906667 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**11*n*(n*(n**(2\/53)\/n)\/n)\/n)\/((n*(((n*n**(12\/11)*n*n)\/n)\/n)\/n*n)\/(n*n*n*n*(n*n**(17\/4)\/n)\/n*n*n)))**(2\/7) assuming n is positive.\nAnswer: n**(37771\/8162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 3*f**2 - f**2 + 1 - f - f**2 + 5*f. Determine i(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2304179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2676297 is divided by 527.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -29016*m**2 + 35*m + 29. Let q be p(-7). What is q rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 500.\nAnswer: 1\/250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -20*b + 452. Let s be q(22). Sort 2, 1, s, 15, 5 in descending order.\nAnswer: 15, s, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*u = -30. Let i be 28\/(-21) + ((-16)\/(-6))\/2. Suppose 5*q + 4*s - 120 = i, 0 = 3*q - 5*s - 75 - 34. What is the remainder when q is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1490 + 930 = 10*p. Is p a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 n when four letters picked without replacement from {n: 3, s: 4, p: 6, j: 1}.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4053, 1, 58, 3 in increasing order.\nAnswer: -6, 1, 3, 58, 4053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*w = -91, -3*b + 6*w + 62 = w. Let d(f) = f**3 - 20*f**2 + 8*f + 64. Let g be d(b). Which is smaller: -148 or g?\nAnswer: -148","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeelelel. What is prob of sequence llee?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/5282 and 85\/430102696.\nAnswer: 430102696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 545613*v**2. Let j(s) = -2*s. What is n(j(h))?\nAnswer: 2182452*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*c = 53, 4*t - 3*c - 20 = -7*c. Solve 3 = 6*i - t*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = -x - 21*x - 213 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76325 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 960280 divided by 5?\nAnswer: 192056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 726440410?\nAnswer: 2, 5, 139, 233, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -23, 13018 in decreasing order.\nAnswer: 13018, -1\/3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-10 - 9 - (2 - 7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, s: 4, x: 3, c: 2, v: 3, a: 1}. What is prob of picking 1 j and 1 s?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -0.08, -0.1, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.12 or -4134269?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 2, n: 4, p: 2, o: 5}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 513561979?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 3:59 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -213, -384, -547, -708, -873, -1048, -1239, -1452?\n\"Answer: -g**3 + 10*g**2 - 194*g - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - i**2 + 5. Let d be j(0). Suppose 3 = 3*u + u - q, 5*q - 21 = 2*u. What is the second derivative of -u*b + 4*b - 2*b**5 + b**d wrt b?\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 5. Let j be m(-6). Let k(x) be the second derivative of 5*x**3\/2 - x**2\/2 + 3*x. List the prime factors of k(j).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or 23373\/16?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u + 16. Let d be z(-6). Let l be -2 - (-1 - (-2)\/d). Solve 3*m + 5*w - 10 = l, 4*w + 9 = -3*m + 4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (16 - 6) - -6 - -17.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(2 + 4 + -7). Let v = 11 + -11. Let y = v + -4. Which is the biggest value? (a) 4 (b) p (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 490*y - 495*y = 3520. Let b = -628 - y. Suppose -1 = -3*x + 56. Calculate the highest common factor of x and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 - 13*f + 5. Suppose -s + 62 - 57 = 0. What is the tens digit of v(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -628c6c?\nAnswer: -628c74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9720 is divided by 187?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utttwtw. What is prob of picking 1 u and 1 t?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o. Let f(i) = -14*i - 3*i - 4*i. Let w(c) = -4*c. Let l(s) = -2*f(s) + 11*w(s). Calculate l(b(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6 - 6) + 89)*(-17)\/(-34)*-2 + -5.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2946127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1422675599.\nAnswer: 13463, 105673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.002 and -0.79120096.\nAnswer: -0.78920096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72487 is divided by 125.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -6. Which is smaller: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*b + 16. Suppose -4*f + 5 + 3 = 2*v, -b*f = 2*v - 8. Let t = -40 + 41. Solve -4*m = 5*w - 5, -v*w + 2 + t = 3*m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 0 - -1) + (1 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 239 = 4*d, 7*d + 4*q - 118 = 5*d. What is the remainder when 493 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 24\/11 (c) -0.006 (d) -2\/641 (e) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**3 - s**2 + 4*s - 6. Let m(n) = n**3 - n + 1. Suppose 2*i - x + 4 = 0, 0*x + 16 = -5*i + x. Determine i*m(a) - g(a).\nAnswer: -a**3 + a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*b - 116 + 22, 4*b + 110 = -5*v. Let l be (-9)\/15 + (-90)\/b. What is the greatest common divisor of 7 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 (base 10) to base 16\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 111, -0.1, -11, -16 in descending order.\nAnswer: 111, 5, -0.1, -3, -11, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**2 + 3*s - 11. Let h(g) = 4*g**2 + 2*g - 12. Suppose -2489*y = -2463*y + 52. Determine y*i(l) + 3*h(l).\nAnswer: 2*l**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z**2 + 0*z**2 + 0*z**2)*(-2*z**3 + 0*z**3 - 4*z**3 + (z**2 - 2*z**2 + 2*z**2)*(5*z - 3*z - 4*z) + 3*z**3 - 11 + 11).\nAnswer: 30*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -68376.28 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - -3. Suppose 2*p - 3*p + 14 = 0. Let d = 19 - p. What is the remainder when v is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1680\/6)\/(-20))\/((-7)\/2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**3\/3 + 3*y**2\/2 - 2*y. Let h(k) = 3*k - 7. Let z(u) = -5*c(u) - 2*h(u). What is the units digit of z(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -240 and -239 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**5 + 15*s**4\/4 - 2. Factor k(p).\nAnswer: -5*p**3*(p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 m when two letters picked without replacement from komai.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.390387 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -7921*u**5\/20 - u**4\/12 - 14*u**3\/3 + 129*u**2 + 10*u + 210. What is the third derivative of w(a) wrt a?\nAnswer: -47526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/8)\/(2\/(32\/6)). Suppose 3*f = -2*f - 4*v + 4, -2*f = t*v - 4. Solve 5*x = -0*x - 4*q - 5, 5*x - q + 30 = f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2 - 60743*l + 60743*l. Let i(h) = -8*h**2. What is y(i(o))?\nAnswer: -128*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 4*h + 3*h + 3)*(5 - 2 - 4)*(6*h - 6*h + 4*h).\nAnswer: -4*h**2 - 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54415095?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 11 = 3. Let f = 14 + j. Suppose -r - r = -f. Which is smaller: 1\/3 or r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w**2 + 93*w - 81. Give i(-15).\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, v: 1, z: 4}. What is prob of picking 1 v and 1 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 587524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -15562.226\nAnswer: -4668.6678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2121)\/(-84) + (-1)\/4. Let s = w - -11. Let k be (10\/54)\/((-3)\/s). Which is greater: -2 or k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 333333*o**2 - 2*o - 3. Let l = -4 + 28. Let p be l\/(-9) - 4\/12. Let u be n(p). Round u to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/48 + (-1)\/((-15)\/(-10)). Put 2, s, -1\/2, -4\/5 in ascending order.\nAnswer: -4\/5, -1\/2, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/240 and 35\/16.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 41*z**2 - 231*z - 8. Give f(46).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201 (base 4) to base 8.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -0.35. Let l = -442 + 437. Which is the closest to 0? (a) 0.2 (b) l (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10851323471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14b178 - a?\nAnswer: -14b184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 12:11 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 3) to base 12.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (825\/(-282) + 3)*(96\/238 - (-2486)\/(-21131))?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = i + s - 1, 5*s = 10. Suppose 0 = -5*j - 3*o + i*o + 584, 2*j = o + 234. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 5) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/25 + 2210\/325?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2404*n**3*w + 8*n**3 - 9*n**2*w + 2*n**2 + 14*n*w - 9*n - 344*w - 1 wrt n?\nAnswer: 14424*n*w + 48*n - 18*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37702255 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: How many months are there in 1313.039 decades?\nAnswer: 157564.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47209256 or -47209261?\nAnswer: -47209261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-12)*n*n*((n*n\/n**(-2\/11))\/n)\/n)\/(n**10*n**(-1\/3)) assuming n is positive.\nAnswer: n**(182\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16, -0.2, 1\/3, 1\/4, -0.4, 6.65?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 0 + 907*q - 12 + 6 to the form f*q + v and give f.\nAnswer: 907","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 5. Let z = 2719 - 2714. Which is the closest to 2\/9? (a) m (b) z (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -299 at least as big as -299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*h + 1016, 93*n - 32 = 89*n. What is the remainder when 45663 is divided by h?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-9\/7)*g)\/(g\/(g\/(g\/g**(5\/3)))))\/(g*g**(-5))**(10\/3) assuming g is positive.\nAnswer: g**(96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 47\/4 of a tonne?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 12*q**2 + 8*q - 269. Give u(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 64 = -2*h, -2*s = -4*h + 79 + 1. Let z = -3 - -14. Calculate the lowest common multiple of h and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-3)\/168 + -1*(-1)\/(-4)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**4\/6 + 5*q**3\/6 + q**2. Let i = -10 - -6. Is 21 a factor of g(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/1)\/(((-36)\/(-24))\/(-3))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/72)\/((-42471)\/(-7722)).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2338 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35510 + 3941. Round w to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a. Suppose -b = -2*i + 17, -15*i - 2*b + 26 = -13*i. Let w(v) be the first derivative of -31\/3*v**3 + 0*v + 0*v**2 - i. Calculate w(y(z)).\nAnswer: -124*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1359*h**3 - 70*h**2*u**2 + 27*u**2 + 2*u - 336 with respect to h.\nAnswer: -4077*h**2 - 140*h*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 4:30 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -4. Suppose o = n - 5*k - 22, -2*n + 2*k + 93 = 9. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 4*g - 4*y = -2, 0 = 2*y + 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j - 64 = 2*z, -3*j = -j + 4*z - 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 - -1. Let r = -2.6 - o. Let p = 5 + r. Which is greater: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -4. Let j = -8 - -11. Suppose -s*z - 5*k = -830, 5*k = -3*z + j*k + 499. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c**2\/4 + 97187*c\/2 - 5298594 = 0. What is c?\nAnswer: 1428\/13, 14842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/3 (b) -1\/207 (c) 2\/13 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 11:46 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -611520 or -611513?\nAnswer: -611513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 9*w**3 + 5*w**2 + 11*w - 5. Let g(i) = 13*i**3 + 8*i**2 + 17*i - 8. What is -5*g(q) + 8*j(q)?\nAnswer: 7*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 1734*a - 23912. Determine b(14).\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 2*f - 30 = 0, 2243*t - 2246*t + 5*f + 84 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.1 * 0.02915.\nAnswer: -0.440165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -362\/935?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -13*q. Let t(a) = -64*a**2 - 55*a**2 + 183*a**2 - 57*a**2. Give t(s(i)).\nAnswer: 1183*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -9*d**3 - 19*d**2 + d - 3. Let j(c) = -19*c**3 - 35*c**2 + c - 6. Let r(n) = -11*i(n) + 6*j(n). Find the second derivative of r(f) wrt f.\nAnswer: -90*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -52 and 0.4?\nAnswer: -20.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55826490.\nAnswer: 2, 3, 5, 53, 35111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 66031 + -326?\nAnswer: 65402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, -7, 2, -2\/3 in decreasing order.\nAnswer: 2, -2\/3, -7, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -131105 minus -0.16?\nAnswer: -131104.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11520031, 11520040, 11520049?\nAnswer: 11520058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -5, 0.2, 10\/121, -4 in descending order.\nAnswer: 0.2, 10\/121, -0.4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 129*x**2 + 22*x - 33. Is a(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l - 2. Let g = 5 + 0. List the prime factors of b(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1018434*h**4 - 47*h**2 + 617437002 wrt h?\nAnswer: 4073736*h**3 - 94*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 3 = z, 0 = -4*z + 5*o - 107 + 119 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/9)\/((-9)\/243). What is the units digit of ((-14)\/6)\/(y\/(-162))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -7*v**2 + 7*v + 8. Let z(r) = 12*r**2 - 13*r - 16. Let w(c) = 5*x(c) + 3*z(c). Let q be w(6). Suppose -12 = -4*t + 8. Solve -q*a + 3*a = t for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*m - m + 353, m = 5*w + 53. Calculate the remainder when 25037 is divided by m.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(66) - (-3*sqrt(66) - sqrt(66))) + sqrt(66))*5 - (sqrt(66) + 4*3*sqrt(66)))*-4)\/(2*(2*sqrt(150) + (sqrt(72)\/sqrt(3))\/sqrt(4))).\nAnswer: -34*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6, 16, 40, 84, 154, 256?\n\"Answer: a**3 + a**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-14)*2\/(-144)*-56. Let f(b) be the third derivative of 0*b**4 + i*b**5 + 6*b**3 + 0 + 0*b - 42*b**2. What is the derivative of f(h) wrt h?\nAnswer: 40*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 20012112101112?\nAnswer: -20012112101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/56077044 and 93\/158884958?\nAnswer: 953309748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -941291 by 5.\nAnswer: -941291\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/n**(-8\/5))\/((n**(-9)\/n*n)\/n)*((((n\/n**6)\/n)\/n)\/n*n)\/(n**7*n*n))**(-1\/21))**(2\/81) assuming n is positive.\nAnswer: n**(8\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h**2 - 8*h - 1. Let s(x) = -x**2 - x - 1. Let y(m) = r(m) - 5*s(m). Let v be y(3). List the prime factors of (-3 + -3)*(-6)\/v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -67*b**6\/3 + b**4\/6 - 13*b**3\/2 - 5*b**2\/2 + 2*b - 20. What is the second derivative of x(z) wrt z?\nAnswer: -8040*z**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 4:42 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 + -2222?\nAnswer: -10120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 3) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8877 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-8)\/f*f**(6\/11))\/(((f*((f*f\/f**(1\/2)*f)\/f*f)\/f*f)\/f)\/(f*f\/(f\/(f\/f**(-2\/15))*f))) assuming f is positive.\nAnswer: f**(-3241\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 4. Let y = -0.4 + 0.9. Let r be 22\/(-5) - -2*(0 + 2). Which is the nearest to -0.2? (a) y (b) r (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -8, -2, 7 in ascending order.\nAnswer: -8, -5, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in -4, -0.01, -1\/3, 1.3, 1\/2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-1)*m)**(-2\/159)*(m\/(m\/(m\/(m**(-7)\/m))))\/m**1)**(-50) assuming m is positive.\nAnswer: m**(-63400\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and 259.\nAnswer: 258.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 166*n - 630. Let i(s) = 11*s**2. What is f(i(z))?\nAnswer: 1826*z**2 - 630","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*f - 2 = -44*f + 2*s, -5*f - 4*s - 6 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08200308 to three decimal places.\nAnswer: 0.082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**12*p**(2\/11)\/p)**23*(p**(-1\/4))**(8\/13)\/((p\/(p**(-2\/5)\/p))\/(p*p\/(p**(-2\/25)\/p))) assuming p is positive.\nAnswer: p**(921306\/3575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 5*u, -248 = 3*a - 5*u - 190 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3497608 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 187482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(9)\/sqrt(3)*-6.\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 377, 1300, 3123, 6152, 10693, 17052, 25535?\nAnswer: 36448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 60 - 57 = 0, 2*z = 4*i + 10. Which is the nearest to 1.3? (a) i (b) 0.17 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 809575 and 262730.\nAnswer: 69623450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*f + 14*f + 60 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**0))**(-1\/11))**(1\/5) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utuuusssss. What is prob of picking 2 s?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13519142683\/62 + 218070670. Suppose -3656 = -2*l + 36308. Let n = p - l. What is the common denominator of n and 41\/18?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -23?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 102393 = 5*g, -3*g + 839*w + 61429 = 840*w. What is the ten thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + s = 38. Suppose 11 + s = 2*z + 2*w, 5*z - 89 = 2*w. Calculate the remainder when 65 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*z - 6*t - 5, 0 = 4*t - 4. Let h(k) = z*k**3 - 3*k**3 - 3*k**3. Let i = -5 + 3. Let b(x) = x**3. What is i*h(s) - 2*b(s)?\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/155, 0.2, 49?\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -44 - (0 - -1 - -11 - (-33 - (28 - 79)))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-20)\/8 + (1701\/(-18))\/(-3))*661 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 28*j - 28. Let l be s(20). List the prime factors of l\/(-9)*(-1 - (-2)\/(-4)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}