diff --git "a/data/dm_maths/full_data/103_11255.jsonl" "b/data/dm_maths/full_data/103_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/103_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 4508967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1955 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.11 from -63808052.9.\nAnswer: -63808055.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 296571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + g + 8 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 1 - 1 + 3*b - 5*b. Let v(p) = -5*p**2 - 3*p. Let n(r) = 6*r**2 + 4*r. Let i(q) = 3*n(q) + 4*v(q). What is i(y(d))?\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*c + 90 = 0, -c + 56 = 5*b - 178. Suppose -3*a - 2 + b = 0. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 12*y - 39. Calculate q(11).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 7:20 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7.85 - 0.02077\nAnswer: 7.82923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**5 - 145*x**4 - 130*x**3 + 280*x**2 = 0.\nAnswer: -28, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076.64 rounded to the nearest 10?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3366 and 2992.\nAnswer: 26928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 3128.718.\nAnswer: 3128.718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46.76 + -45.76. Let w = 5.5 - -0.5. Let v = -11 + w. What is the third biggest value in g, -0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 1:41 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 465182188 to the nearest integer?\nAnswer: 21568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/3)\/(4\/6). Suppose -25 = -5*k, 4*y - 18 = 4*k - n. Suppose -10062*i + 10066*i = 36. What is the highest common divisor of i and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -358 >= -423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 8*k**2 - 17*k + 22. Calculate c(7).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**5\/60 + o**4\/12 + 4*o**2. Let c(k) = 0. What is k?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**1)**(-3\/41) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -44520000 to the nearest one million.\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 19*g + 16*g + 17 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -902*a - 2 - 836*a + 1833*a + 3 - 1802*a as f + r*a and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 339 - (-20 + (-126)\/(-14)). What is the greatest common divisor of k and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33282*b**3*x**2 - 877474*b**3 + 4*x**3 wrt x?\nAnswer: 66564*b**3*x + 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 430 * -0.2\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10988.5 rounded to the nearest ten?\nAnswer: -10990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 22.6. Which is the closest to -0.1? (a) 2\/25 (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*k = 830, 4*v - 838 = k - 0*k. Let o(g) = 10*g + 2*g**2 + 7*g - v + 212. What is the tens digit of o(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -10*l - 3. Let h(s) = -91*s - 26. What is -3*h(t) + 26*w(t)?\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68.8 + 524.8. Let y = -455 + g. Let z = 4 + -3.7. What is the smallest value in -2\/7, y, z?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 7*d = 3*d - 60, m + d - 5 = 0. Solve x - 5*g = -10, 0 = 3*x - g - m - 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547034688?\nAnswer: 2, 3, 316571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -18*y + 3. Let u be s(-3). Suppose 84 = -5*m - 71. Let g = u + m. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -529*f**4 + 4732*f**3 - 488456362*f**2?\nAnswer: -12696*f + 28392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -4 (b) -0.1 (c) 123 (d) 0.12 (e) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 5:51 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 3:58 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d. Let u = 38 - 17. Let z(c) = -u*c**2 - 18*c**2 + 43*c**2. Calculate b(z(s)).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*y - 79*y + 17*y - 11*y. Let t(i) be the first derivative of -i**3\/3 + i**2\/2 - 47*i + 1. Determine t(y).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.89 + 0.89. Which is the second smallest value? (a) -3 (b) -2 (c) 0.3 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 22895357\nAnswer: 22895357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 60 (b) 0.5 (c) 6\/11 (d) -91 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-1\/7)*u))**(-16)*(u**(-2\/17))**(12\/5))**(-45) assuming u is positive.\nAnswer: u**(13752\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 25\/((-30)\/(-6))*1. What is the nearest to 0 in 2\/9, v, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*b**4 + 66*b**3 - 69*b**2 + 18*b.\nAnswer: -3*b*(b - 3)*(b - 1)*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4.6 (b) 1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 216\/45 - 8\/10. Solve 0*s = q*s - 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2304 and 114.\nAnswer: 43776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(343) + -1) + 5 - ((sqrt(112)*-1 + -1 - sqrt(112))**2 + 5).\nAnswer: -445 - 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 723180 divided by -48212\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + sqrt(6)\/sqrt(2) + 1.\nAnswer: sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 734476.\nAnswer: 2, 139, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 42154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28093 rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 23*r - 3. Let j be k(-11). Let z = j + -366. Solve z*y - 51 = -76 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -240.2 and -39905.\nAnswer: -40145.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 1250498 = 1250558, 9*u = -3*q - 135 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 782.9547 centuries to millennia.\nAnswer: 78.29547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**5\/4 + 3*c**4\/4 + 85*c**3 + 429*c**2 = 0 for c.\nAnswer: -13, -6, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**(10\/11)\/(a**(1\/4)\/a)**(-18) assuming a is positive.\nAnswer: a**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 + 25*p**2 - 29*p**2 - 2 + 3*p + 5*p**3. Give x(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4328)\/(-24345) - (-2)\/45 - 7\/153.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-43)\/172)\/(4\/(-2))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/((sqrt(88) - (sqrt(88) - (sqrt(88)*2 - sqrt(88))))\/sqrt(11)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*1\/4)\/(102\/(-16)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**4\/2 + 3*x**3 - x**2 - 10*x - 83. Give h(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 10*q + 25. Let u be (3\/(-1))\/(128\/128). Determine p(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.9*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16 and 3319022.\nAnswer: 53104352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 402556 - -3?\nAnswer: 402561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y + 14 = 114 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*-1 + -3 - (sqrt(17) - -2*sqrt(1700)) - (sqrt(68) + -3 + sqrt(17) + (sqrt(119)*-2)\/sqrt(7)))**2.\nAnswer: 8993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 5. Let l be 2\/c - 34\/3. Let h = 12 - l. What is the remainder when h is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/12 + (-33)\/(-12). Suppose 0*g - j*g = -b + 27, -2*b + 5*g = -49. Suppose -c + 2*s = 7*s - 15, b = 2*c + s. Sort -5, c, 3 in increasing order.\nAnswer: -5, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 0, -442\/71 in descending order.\nAnswer: 4, 1, 0, -442\/71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14338 + -3152. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 - 0. Sort -2\/7, 2, -1, l in descending order.\nAnswer: 2, l, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d = 100, 7910*i + 28*d + 4 = 7909*i + 27*d for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31120 (base 4) in base 3?\nAnswer: 1011201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r = -43*r - 12*r - 948 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 16 = 103. Suppose 27 = -3*i - 9. Let n = i + 127. Calculate the remainder when n is divided by c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncnmvmcmmcmmmcccvc. What is prob of picking 1 c and 1 v?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.05177 - 22.65823. Let s = w - -23. Round s to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -688, 1, -2, 3 in descending order.\nAnswer: 3, 1, -2, -688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 + -52. Suppose -4*y + 3*s + 11 = 0, q = 4*y + 4*s - 0. Suppose -c - p = -0 - 9, 0 = -4*c + y*p + 42. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 174 - 7737?\nAnswer: -7543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2062\/12 + 185\/(-222). Let a = -92 + 149. What is the greatest common divisor of a and v?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -458*p + 724*p + 3724 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 16\/5 (b) -4\/3 (c) -0.3 (d) 2\/23 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -8*p**2 - 6*p - 13. Let i be q(4). What is the common denominator of -16\/15 and (((-10)\/i)\/2)\/((-1)\/41)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3060945?\nAnswer: 3, 5, 251, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -41*m + 470. What is the tens digit of u(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 164, 12, -4, -273\/4?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 - -80. Let u be 3\/2*s\/15. Solve -h = u*v + 13, -20 = -2*h + 6*h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4*q - 4 + (0*q + q - 2*q)*(-2 - 3 + 13))*(2*q + 1 - 1) as y + c*q**2 + s*q and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -765*l - 40. What are the prime factors of r(-1)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -395196.76 and -0.2513.\nAnswer: -395197.0113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 6*a + 302. What is q(13)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**2 + 10580*h = 0. What is h?\nAnswer: 0, 2116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 310?\nAnswer: -11\/310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 v when three letters picked without replacement from {x: 1, z: 9, i: 3, p: 1, v: 1, l: 3}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1\/3, -55, 0.3, -4751 in decreasing order.\nAnswer: 0.3, -0.1, -1\/3, -55, -4751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p**2 + 617 - 617)*(3*p + 3*p - 4*p + (3 - 4 - 13)*(-2*p - 3*p + 4*p)) in the form b*p**2 + s*p**3 + d + w*p and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40970639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*j**5 - 8*j**5 + 11*j**5 + 2*j wrt j.\nAnswer: 220*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82214000 rounded to the nearest one hundred thousand?\nAnswer: -82200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 3480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2524723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -76*o - 8003 + 47447. Which is smaller: 528 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 17550.\nAnswer: 17550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 773 = -122. Let u = g + -213. Solve 2*x + 2*b + u = 0, 3*b + 8 - 2 = 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 14*c**2 - 49*c - 209. Calculate t(18).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(4*o - o - 2*o)*(9 + 5 - 2)*(-3*o + 2*o + 0*o).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 30*k**3 - 3*k**2 - 3. Let v(p) = 31*p**3 - 4*p**2 - 4. Determine -3*v(t) + 4*z(t).\nAnswer: 27*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 - -2 - (0 - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.094 and -6.64.\nAnswer: 0.62416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 271, 529, 787, 1045, 1303?\n\"Answer: 258*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1601\/15 + 547\/5. Suppose -5*b + 4*k + 16 = -2*b, 0 = 4*b - k - 4. Let 4\/3*m**3 - u*m**2 - 4\/3*m + 8\/3*m**4 + b = 0. Calculate m.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 41*i**7\/7 - 47*i**3\/2 - 79*i. Find the second derivative of u(a) wrt a.\nAnswer: 4920*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 3*w + 7. Calculate h(7).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 93344121503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((336\/(-30))\/7)\/((-4)\/(-30)*1)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(15\/10*1\/((-18)\/8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000025107049 rounded to 7 dps?\nAnswer: 0.0000251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p + 5. What are the prime factors of r(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r + r**2 - r**3 + 5*r + 2*r - 3 + 3*r. Let b be c(2). Let s = 0.03 + 0.07. What is the closest to 1\/4 in -0.3, s, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fffiiiiffffififi?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -124*b**2 + 378*b - 1 + 0 - b**4 + 378*b - 754*b + b**3 - 2*b**2 as a*b**3 + i + d*b**4 + v*b**2 + k*b and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112233102 (base 4) to base 2.\nAnswer: 10110101111010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, p: 2, u: 1, l: 8}. Give prob of picking 1 u and 1 d.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**5 - 2*h**4 - 2*h - 1. Let i(j) = -5*j**5 - 6*j**4 - 222*j**2 - 8*j + 38. Let a(t) = -i(t) + 3*n(t). Find the second derivative of a(z) wrt z.\nAnswer: 40*z**3 + 444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 36 + 4 = 0. What is the third derivative of -27*w**5 + 27*w**5 + w**2 + q*w**2 - 10*w**6 wrt w?\nAnswer: -1200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/76 and 93\/2.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 v, and 1 e when four letters picked without replacement from edjesvjssjjejj.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4111*j**2 - 1 + 4090*j**2 + 7)*(j**2 + 29*j - 29*j).\nAnswer: -21*j**4 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -50, -53, -56, -59?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.718 rounded to zero dps?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*b = 0, -5*v + b = -3*b. Let n(m) = m**3 - 2*m**2 + 3*m - 3. Let s be n(2). Suppose v*r + s*r = 3. Let d(x) = x**3 + x**2 - x. Determine d(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96 - -149. Suppose 0 = 2*u - 4*i - 72, 3*u - u - 2*i = 78. Suppose 14*z - u = 11*z. What is the remainder when a is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 4*d**3 - d**2\/2 - 16*d - 68. Differentiate l(w) wrt w.\nAnswer: 24*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(6\/(-5)))\/((-6885)\/(-324))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 77230497 divided by -3?\nAnswer: -25743499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 13 = 3*p, 1 + 3 = -n. Let o be -1 + p*(2 - 0). Let l = 4 - -1. Sort l, o, 4 in descending order.\nAnswer: l, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**3 + 24*w**2 + 10*w - 122. Give i(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 56*l + 28. Let f(b) = -9*b - 4. Let k(t) = -5*a(t) - 35*f(t). Let y(o) = 4*o + 3 - 3. Calculate -4*k(u) + 36*y(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhh. Give prob of picking 2 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(4 + (-30)\/5). Suppose l - 95 + 87 = b. Let f(t) = -2*t + 21. Let z be f(l). Solve 2*i + q = z*i - 6, 5*i - 5*q = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 475 + 1100. List the prime factors of f.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 11:23 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 11*v**2 - v - 39. Let k be s(-12). Suppose 2*r = 2*a + 378, -r + 4*a = -69 - k. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oaaq when four letters picked without replacement from {q: 6, a: 3, y: 1, o: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 462 and 198.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3092531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -411462.8 rounded to the nearest 100?\nAnswer: -411500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 790152721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3501 and 6613.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11166 - 3419. Calculate the greatest common divisor of 61 and q.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert fb2 (base 16) to base 11.\nAnswer: 3023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000117 rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 1508*b - 1. Let f(d) = -15*d. What is -12*f(a) + y(a)?\nAnswer: 1688*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/393 and -73\/6?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60015 and 35168790.\nAnswer: 35168790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - h + 16. What is d(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6328952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 4:29 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*n**4 + 1027*n**2 - 4866 wrt n?\nAnswer: -12*n**3 + 2054*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10138 + 17026. Let f = u + 391. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22071.74l to millilitres.\nAnswer: 22071740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27aa376 - -1?\nAnswer: 27aa377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 5:26 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2427770 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 3*v - 0 + 9, -13 = -5*k - 3*v. Solve -b = b - k for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 13*z**2 - 25*z - 73. What is i(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144405693?\nAnswer: 3, 71, 75329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (156 - 159) + (2 - (0 + -1)) + 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + u + 0*u)*(-5*u**3 - 15*u**3 + 0*u**3).\nAnswer: 40*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*1*-4 + sqrt(204) + sqrt(204) + sqrt(204)*-3*4 + sqrt(204))\/((sqrt(300)*-1 - sqrt(300)) + (sqrt(12) - sqrt(48))*4).\nAnswer: 13*sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.23, 2, -2\/5, -0.2, 0, 0.0516 in ascending order.\nAnswer: -2\/5, -0.2, 0, 0.0516, 0.23, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1. Let q(g) = -g**3 + 9*g**2 + 9*g + 9. Let w be q(10). Sort w, d, -2.\nAnswer: -2, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 913924 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/30*(91\/28 - 4). Which is the closest to v? (a) 0.1 (b) -2\/25 (c) -1\/8 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*x = -71, -54 = 27*a - 25*a - 4*x. Let f(k) = 2*k**2 + 18*k + 239. Is 9 a factor of f(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8651888 is divided by 45?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, h: 2, y: 3}. What is prob of sequence lh?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-1175)\/141)\/((-10)\/(-12))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9340 = -53*x + 63*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*g + 528 = 0, -2*g = -7*c + 2*c + 887. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 + -181\/4. Let k = 4.3 + -0.3. Let g = 3.9 - k. Which is the nearest to h? (a) g (b) -2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 29, 79, 131, 185, 241?\n\"Answer: k**2 + 47*k - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvpvvpp. What is prob of sequence vpp?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - a = 5*h - 1, 0 = h + a + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 337*n**3 - 5*n**2 + 3*n - 5. Let j be d(5). Suppose -5*m - 2*k + j = 0, -3*m + 41990 = 2*m - 2*k. Is m\/18 + 2\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1193731, -2387466, -3581177, -4774858, -5968503, -7162106, -8355661, -9549162?\n\"Answer: c**3 + 6*c**2 - 1193760*c + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 + 42. Let c(u) = 2 - 1 - f*u + 2 + 3*u. Let t be c(3). Put t, -2, 3, -1 in decreasing order.\nAnswer: 3, -1, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -1. Suppose -u + 2*d = -10, 5*d + 3 = -4*u - 61. Sort u, o, 3 in increasing order.\nAnswer: u, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + 38 + (5 + -3 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 10*w**2 - 2*w - 11. Let m(l) = -32*l + 822. Let h be m(26). Determine f(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6980664 to the power of 1\/3, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2587*o**2 + 26*o**4 + 8*o**4 - 2572*o**2 + (1 - 1 - 5*o**3)*(-1 + 1 + 2*o).\nAnswer: 24*o**4 + 15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -186851200, -186851199, -186851198, -186851197, -186851196, -186851195?\n\"Answer: z - 186851201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 482562.7 decades to months.\nAnswer: 57907524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-3) - (-2)\/(-3). Let i(j) = -3*j**c - 2*j**2 + 2 - 7 - j**3 - j. Give i(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 135 - ((-22 - -14) + 16). Let g be 4\/16 - 277\/4. Let r = g + x. Is 19 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - b**2 - 6*b + 1. Let u(z) = -5*z**3 - 46*z**2 - 8*z + 2. What is 2*n(m) - u(m)?\nAnswer: 3*m**3 + 44*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176621 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -150425 + 150428. Suppose -8\/5*i**4 - 2\/5*i**2 - 2*i**g + 0*i + 0 = 0. Calculate i.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (199\/(-21) - (-780)\/(-910)).\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1734.67 and 4?\nAnswer: 6938.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l. Let c(z) be the third derivative of z**4\/2 - z**3\/3 - z**2 + 1. Let w(g) = 24*b(g) - 3*c(g). Differentiate w(v) wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11450.4*659\nAnswer: -7545813.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 10:18 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -322*d - 473. Is i(-5) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 10*r + 3360 = -148*r for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9239.611 rounded to the nearest ten?\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266480785?\nAnswer: 5, 53296157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(-3)\/((-27)\/(-6)). Suppose -n*r = -5*r + 12. Suppose 0 = r*x - i - 19, -4*i + 7 + 2 = x. Calculate the highest common factor of x and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 78 + 20a?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.16 and -5446227787723.\nAnswer: -5446227787722.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3\/h)**(6\/11)\/(h\/(h**(-6\/5)\/h)*h*h\/h**(-1\/12)) assuming h is positive.\nAnswer: h**(-2767\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 - (77 + -28) - 55.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -8*v**2. Let d(r) = 16*r. Let y(w) = -3*w. Let j(p) = -4*d(p) - 22*y(p). Give g(j(i)).\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 82*f - 635. Calculate the least common multiple of n(-11) and 365.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + sqrt(176) - (2 + sqrt(275) - sqrt(11)))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 21 - 21. Let d be (q\/2)\/((-9)\/(-156)). Let j(s) = 2*s**2 + 11*s + 31. Let p be j(-5). Calculate the highest common factor of d and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846141?\nAnswer: 3, 17, 47, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1734803*a**2*y + 10255*a*y - 64*y wrt a?\nAnswer: -3469606*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 4*x - 39*x - 2 + 4 in the form p + g*x and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4849*l - 155180. Determine b(-32).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32090 and 172200.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/2)\/((-4)\/(-56)). Let p = -25 - -21. Which is the nearest to 1? (a) 3\/8 (b) p (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -528*q + 492*q = -1837980. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 1:36 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4038.03 + 4111. Let i = j + -73. Which is the biggest value? (a) -2\/9 (b) i (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4581 minus -0.8931849?\nAnswer: 4581.8931849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1592 + 0.3592. What is the fourth biggest value in 4, -1\/2, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -0.4, -0.04, 28?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 85 + -19. Let s be 186\/a - (-2)\/11. Find the second derivative of 11*z**5 - 8*z**5 + 3*z**s - z - 3*z**3 wrt z.\nAnswer: 60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 156104699 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 1 - 23*s**2 - 7 in the form t + b*s**2 + z*s and give b.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7\/32, -0.3, 7?\nAnswer: -7\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(11) - (sqrt(66)\/sqrt(6) - sqrt(11)) - sqrt(11)) + 5 + 3)*6)**2 + sqrt(66)\/(sqrt(48)\/sqrt(8)) + (sqrt(11) + 0 + sqrt(11))*2.\nAnswer: 5*sqrt(11) + 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -18. Let z(h) = -h**3 - 5*h**2 - 4*h - 4. Does 10 divide z(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38907497.\nAnswer: 19, 107777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9020, 9302, 9584, 9866, 10148, 10430?\n\"Answer: 282*v + 8738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2974476981?\nAnswer: 3, 7, 141641761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sdd when three letters picked without replacement from {s: 1, d: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 5\/3, 37, -0.3 in increasing order.\nAnswer: -0.3, 0.3, 5\/3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21.4 + -0.6. Let u = -21.82 - v. Let g = u + -0.28. Which is smaller: g or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0831086 nanograms to tonnes.\nAnswer: 0.0000000000000000831086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 16*a**2 + 15*a - 1. Suppose 5*r = -2*x - 5, 4*x + 7*r - 6*r + 55 = 0. Calculate z(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (95\/57)\/(5\/(15 + (2 - 5))). Solve -a*d - 2*w - 6 = 0, 9*d - 5*d - w = -21 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-33)\/(z\/(z**0*z)))\/(z**18\/z)**33 assuming z is positive.\nAnswer: z**(-594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 978179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -13, -30, -49, -70, -93, -118?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 0 + 0)*(-2*g + 330020 - 327410 + 2*g - 2*g**2).\nAnswer: 4*g**3 - 5220*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2. Let y(m) be the second derivative of -581*m**4\/12 + 588*m. Give b(y(l)).\nAnswer: -337561*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1188621, -1187939, -1187243, -1186527, -1185785, -1185011, -1184199, -1183343?\nAnswer: -1182437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -5. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -101a - -17b60?\nAnswer: 16b43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-6) + 2)*2. Let d(i) = i**3 + 4*i**2 + i - 2. What are the prime factors of d(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -18 + 10 + -3 + 12 - (101 - -7)\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1470)\/(-686)*(-14)\/(-190)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -186, -2, 24, 863.\nAnswer: -186, -3, -2, 1, 24, 863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + w = 2*w - 6, -3*k = 3*w - 9. What is the units digit of 1 - k - (6 - 12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*o**2\/11 - 90*o\/11 - 2 = 0. What is o?\nAnswer: -11, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(847) + 1)*5 + sqrt(847) + sqrt(847) + sqrt(847)*-2 + 1 + sqrt(847))**2 + (sqrt(847) + -3*(sqrt(847) + 1)**2)*1 + -5.\nAnswer: 1529*sqrt(7) + 58507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 11*b**3 - 23*b**2 + 6*b + 5. Let f(r) = -7*r**3 + 24*r**2 - 5*r - 4. Give 3*f(o) + 2*t(o).\nAnswer: o**3 + 26*o**2 - 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -34 + 19 + 37 - (9 - (1 + 0))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {b: 10, e: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -6, 1, 14, 33?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*c = -4*q - 308, -c = -5*q - 77. Let o = c - 55. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide (-2)\/18 - (-15672)\/108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/65 and 5\/78?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 110 - 65. Let u = 73 - q. Suppose 4*m - 111 = -x, -5*x - 5 = -m + u. Does 19 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + 2*z**2 + 0*z**2 + 4*z**2 - 6*z**2 + 4*z**2 + (-3*z + 0*z + 4*z)*(2*z + 0*z - 3*z) - 1161*z + 233*z**2 + 1161*z.\nAnswer: 235*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 183, 412, 781, 1290?\n\"Answer: 70*r**2 + 19*r + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*n + 1. What is the third biggest value in n, -0.1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011 + 111101111001?\nAnswer: 111110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85 + 6*b**3 - 52 - 33.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from grrggrgrrrrgrggr.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 20. Suppose 0 = 5*f - b + 29, 7*f - 6*f + k = -5*b. What is the remainder when 41 is divided by (-14*2)\/(f - -4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 819 and 121043.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence naas when four letters picked without replacement from nnacncnaccysyya?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**3 + 8*n**3 - 10*n**3 + (2 - 2 + 2*n**3)*(1 - 6 + 3) + 1 - 800*n - 56*n**3 + 800*n to y*n**2 + i*n + q*n**3 + k and give q.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -109 - -111. Suppose -4*l = -2*w - 0*w - 740, -l = a*w - 195. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-76)\/(-16))*(-5)\/((-35)\/(-7))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2417, -2815, -3247, -3731, -4285, -4927, -5675, -6547?\n\"Answer: -3*t**3 + t**2 - 380*t - 2035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 29 = -5*v, 13652*a + 21 = 13659*a - 5*v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*s + 19*s**3 + 12*s - 98*s**2 + 678*s**5 - 5*s - 19*s**3 wrt s?\nAnswer: 40680*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 a, and 1 u when three letters picked without replacement from uymyxmayyxuaxyluyya?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10435 * 0.9\nAnswer: -9391.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89711942.\nAnswer: 2, 1223, 36677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8496901?\nAnswer: 7, 419, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hn when two letters picked without replacement from {n: 4, h: 3, k: 7}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1504 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 8:28 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 u when two letters picked without replacement from {u: 2, s: 3, o: 4, b: 4, h: 2, d: 3}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 17*v**5\/60 + v**4\/8 - v**3\/3 - 8*v**2. What is the units digit of y(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/6)\/(-232*209\/(-2836548)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12517841 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -6 + 3, -14 = 3*p + 2*d. Let a(y) = -y**3 - 3*y**2 + 3*y - 4. Let m be a(p). Solve m = -0*r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39636335?\nAnswer: 5, 673, 11779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-84) - 6\/(-24) - (-93)\/7?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -132031 (base 8) to base 5\nAnswer: -2433410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -7) + 1 + -4. Factor -k**3 + 5*k**2 + 2*k**5 + 7*k**3 + 6*k**n - 3*k**2.\nAnswer: 2*k**2*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.977 times 29?\nAnswer: 115.333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 27*g**2 - 2*g - 110. Let l be v(28). Sort l, 8, -4, -3 in decreasing order.\nAnswer: l, 8, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 3*l + 3. Let k = -3 + 6. Let v be f(k). Suppose 2*r + 1 = v. What is the highest common divisor of 40 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**12*j*j*(j\/j**(-2\/31))\/j*(j*j**(-18)\/j)\/j**8 assuming j is positive.\nAnswer: j**(-339\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 103 = 49. Factor -2*f + l + 2*f**2 - 6*f + 21 - 32.\nAnswer: 2*(f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-20))\/((-12)\/(-1088)) + ((-1880)\/(-120))\/(-47).\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (-10)\/5) + 3. Suppose k + 3 = 5*v. Suppose -2108 = -3*z + v*m + 3*m, -2*m = -2*z + 1404. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 - -38.9. Let w = -2.9 - v. Which is the closest to 19? (a) 3\/2 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tot when three letters picked without replacement from {o: 2, w: 1, t: 5, r: 1, l: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 5126935*w**4 + 114334355*w**3 + 628692330*w**2 - 98136000*w - 3633120 = 0.\nAnswer: -348\/31, -3\/97, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4952, -9864, -14734, -19562, -24348, -29092, -33794?\n\"Answer: 21*q**2 - 4975*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7*d**3 - 8*d**2 + 8*d + 8. Suppose 2*h - 2 = -4*g, h + 13 = 13*g - 8*g. Let o(m) = 1 + 0 - 2*m**2 + m - m**3 + m**2. What is h*f(r) + 24*o(r)?\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (178 + 40 + 372)*(-3*d**4 - 3*d**4 + 4*d**4).\nAnswer: -1180*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**3\/3 + 2*o**2 - 4*o. Differentiate d(f) wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (4 - 8) - -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 2*y + 7, -5*s + y + 21 = 2*y. Let c(w) = 6*w - 3. Calculate the remainder when c(s) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23, -103, -237, -425, -667, -963?\n\"Answer: -27*h**2 + h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 126524145 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 - -1. Let o(p) = -15*p**3 + 17 + 10*p**2 + 33*p**3 - 17*p**3 + 17*p. Let h be o(-8). What is the greatest common factor of a and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 17872?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 242410 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 3:29 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/27)\/(842\/1263)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3053157565.\nAnswer: 5, 1913, 319201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 35*x**3 + 1 + 2*x - 2 + 30*x**3. Let d be a(1). Calculate the greatest common divisor of d and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**3 + 531*w**2 + 8826*w + 38160 = 0.\nAnswer: -159, -10, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2754 divided by -102?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 147*d**5 + 72*d**2 - 8*d**6 - 76*d**5 - 73*d**5 + 0*d**6 wrt d?\nAnswer: -960*d**3 - 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 0.049, -1\/6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2196?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c - 315 = -22*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 8:55 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 436, 1801, 4086, 7297, 11440, 16521?\nAnswer: 22546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3 + 3 + 117*a + 408*a. Let i be b(-2). What is i rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8324306, -16648608, -24972910, -33297212, -41621514?\n\"Answer: -8324302*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 466603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2950514\/(-105) - 2\/(-15). What is u rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14 - -4)*(-2 + 3). Let c = 21 - k. Factor -6 + 10*v - c*v**2 + 0*v**2 - v.\nAnswer: -3*(v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -23. Suppose 0 = -4*c - 3 + 11. Solve -5*s - c*z - 15 = -4*s, -25 = 2*s + u*z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -310\/7 and -44 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110111 + -100000010000100100?\nAnswer: -100000011001011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 91 + -91. Solve -3*q + 0*q + 3 = a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69067537247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c**(18\/13)*c))\/c**(-2\/3))**22 assuming c is positive.\nAnswer: c**(242\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 1) + 0 + (-19 - -17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/7))**(-49))**(-2\/31)*q**(-2\/13)*q*q*q*q**6*q**(-1\/2)\/q**4 assuming q is positive.\nAnswer: q**(4231\/806)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 6*k + 9. Determine q(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 315 + -302. What is the greatest common factor of 39 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3340, 20689, 52048, 97417, 156796, 230185, 317584?\n\"Answer: 7005*v**2 - 3666*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -2 - -4) + (-23 - (56 + -44))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.4 (b) 0.1 (c) 69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 887 + 18*z**3 - 6*z - 887.\nAnswer: 18*z**3 - 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1055\/1396 - 2\/349. Suppose 0 = 2*d - l - 12, -2*l = -2*d - 0*l + 14. Put z, d, -1\/2 in decreasing order.\nAnswer: d, z, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.4579l in millilitres?\nAnswer: 89457.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 13266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -109*w - 222*w - 376*w to the form a + q*w and give q.\nAnswer: -707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.359988 centuries to months.\nAnswer: 6431.9856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 82 - 76. Solve -4 = 10*r - s*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 71619518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n + 53. Let w be j(-16). Calculate the greatest common divisor of w and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71328, 142282, 213236?\nAnswer: 284190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 3, -4, -1095\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1)\/(2458\/(-50389))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 94 = -74*h + 1523 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-1 + 5 + 5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (-1*sqrt(95))\/sqrt(5) - (-2 + sqrt(19)*-1) - (sqrt(133) + (sqrt(133) - (-4*sqrt(133)*-3 - sqrt(133)) - sqrt(133)) + sqrt(133))\/sqrt(7).\nAnswer: 2 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 0*t**2 - t + 0*t**6 + 0*t**5 - 1\/21*t**7 + 0*t**4 + 0 - 1\/6*t**3. What is the second derivative of h(i) wrt i?\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757 is divided by 184?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 0 - (7 + -13 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1967369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -8*p + 5*p + 3, 2*l = 2*p - 2. Let o(k) = k**3 - 2*k**2 + 8*k + 2. Let b be o(l). Solve 8*q - 12 = b*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 1 - (-96)\/4. Let z = -11 - -13. Suppose -z*w = a - 7 - 25, a + 4*w - 28 = 0. What is the highest common factor of a and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 236 (base 11) to base 12.\nAnswer: 1b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41002 = 682*l - 29283 + 17089 for l.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 2:33 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-48.53\nAnswer: -9.706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 6) to base 8\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -259252*-0.2\nAnswer: 51850.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253 = 20*l + 313 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3073*u - 993. What is y(0)?\nAnswer: -993","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -37\/1000?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 164 + -66. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 218921384 to the nearest integer?\nAnswer: 14796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + n = -5977, -7*n - 29917 = -5*d - 10*n. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -164 - -166. Solve -5*c - 45 = -5*j, -2*j + c = 3*c - a for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 36. Let q = -15 + y. Put -4\/5, q, 0.1 in ascending order.\nAnswer: -4\/5, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -51\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15867617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5800, -11569, -17338, -23107, -28876, -34645?\n\"Answer: -5769*b - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -35. Let b = w + -24. Does 6 divide (-2 + 5)\/((-3)\/b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 15 = 5*v. Let q be ((-6)\/(-9))\/(v\/(-6)). Suppose -2*n + 7 = -3*f + q*f, f + n - 8 = 0. Calculate the least common multiple of f and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17370)\/(-1737))\/(3*(-3)\/3)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/122 and 19\/20130?\nAnswer: 20130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/((a**14*a)\/a)))\/a*a*a**(-1))**(34\/3) assuming a is positive.\nAnswer: a**(442\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or -25\/2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 0)\/(14\/(-28)). List the prime factors of (16\/a)\/((-22)\/(-231)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 311 + -311. Suppose -h + 7826 = 4*v - 0*h, i = -5*h - 10. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/5 + 201*p**3 - 1012*p**2\/5 - 6036*p\/5.\nAnswer: p*(p - 3)*(p + 2)*(p + 1006)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/11265 - -73847\/15020. What is the common denominator of -11\/12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 13*d**2 + 12*d + 3. Let y be x(12). Suppose -2*h - 36 = -y*h. Calculate the highest common divisor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -31\/47920 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 381285.\nAnswer: 1525140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -991 - 282*g**3 + 141*g**3 + 139*g**3.\nAnswer: -2*g**3 - 991","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in years?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 3609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-5))\/(8 + 574\/(-70)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 5*v + 5. Let s(f) = 3*f - 4 + 0*f - f + 3. Let a be s(3). What is the units digit of m(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*r = 46*r + 102*r + 688 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -2\/3 (c) -7 (d) 0.0285\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*(-1 + sqrt(325)) + 4*(0 + sqrt(325)) + (sqrt(325) - (2 + sqrt(325))*2) + -4)**2.\nAnswer: 8125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 - 154*v**2 + 2*v + 6. Let a(f) = -f**2 - 2. Calculate 3*a(g) + d(g).\nAnswer: 2*g**3 - 157*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjfj when four letters picked without replacement from fjjfjfj.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -5*f + 5*c, 3*c = -12*f + 8*f + 275. Let k(v) = 0 + 66*v + 9*v**2 - 8*v**2 - f*v - 2. What is k(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*o = 23*o + 1072. Put 1, 0, o in ascending order.\nAnswer: 0, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 318 + -49. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128090210379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**2\/13 - 14*a + 6960\/13 = 0.\nAnswer: -120, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -24994*p + 24. Let l be d(-4). Round l to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 9:03 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370*u + 24 = -364*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 158303409 divided by -3\nAnswer: -52767803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60315 (base 7) to base 5.\nAnswer: -431230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 968 = 4*n, 69*n - 74*n - 3*t = -1250. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 3*o**2 - 5*o + 5. Let t be b(4). Let c = t - -8. Let v = 45 - 31. What is the remainder when v is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1608 or 4266?\nAnswer: 4266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 - 15*l**2 + l**2.\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 54*l**3 - 2*l**2*m - l + 90*m with respect to l.\nAnswer: 162*l**2 - 4*l*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33012 + 97.23.\nAnswer: -32914.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 10 = -3*j. Find the third derivative of -q**2 + 2*q - 2*q + 2*q**j wrt q.\nAnswer: 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 717065104 to the nearest integer?\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -3\/4, 0.1, -7\/8, -6, 13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14400, -28801, -43202, -57603?\nAnswer: -72004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 9, 22?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 15 = -40. Let t be (-6)\/(-15) - (-18)\/l. Suppose t*y + 0*p = 3*p + 81, 2*y = p + 43. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 192\/7*t + 24\/7*t**2 + 512\/7 + 1\/7*t**3.\nAnswer: (t + 8)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjtdjjtt. Give prob of sequence ttj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02569054 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 206 + -179. Calculate the lowest common multiple of u and 1.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1006 = -6*w - 136. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15034\/57 - -769\/3. Are y and -6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115554381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + (-5*-3*sqrt(208)*-1 - (5 + 0 + sqrt(208) + 2))).\nAnswer: 40 + 256*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000213 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 41.9.\nAnswer: -20.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 5*i**2 + 2*i**2 - 2*i**2. Determine o(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(80))**2 + -4 + (sqrt(80) + 1 + sqrt(80))*5.\nAnswer: 40*sqrt(5) + 1281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3832, 1\/4 in decreasing order.\nAnswer: 3832, 1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, h: 8, w: 2, g: 6, r: 2, t: 1}. Give prob of picking 1 t and 1 g.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**4\/12 + f**3\/6 + 4*f**2 - 2*f. Let w be q(0). Solve -3*d - 5*a = -3*a - w, -3*a - 6 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 1:16 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1319 - 2674 - 601)*(2 - 4 - 2)*(-g**2 - 2*g + 2*g) to f + j*g**2 + d*g and give j.\nAnswer: -18376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13125)\/(-250)*(-1 - (-15)\/9)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/5 of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.67 in 5, 1, -0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*q = 368*q + 38 - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -158 - -168. Suppose -q - 6 = q + 2*x, 0 = q - 3*x - 17. What is the least common multiple of f and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -29*d - 21 + 160, -2*v = -2*d + 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29)\/(957\/2013)*((-196)\/(-21) - 9)*-3.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2696 + 63.2296. Let o = -63 + d. Which is the closest to 0? (a) o (b) 0.1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 - 216829\nAnswer: -216827.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from {n: 2, b: 2, l: 1, r: 1, f: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -200 - -204. Suppose 82 = x - 3*n, 3*x = h*x - 4*n - 83. Is 18 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/11 (b) -2\/47 (c) 2 (d) 5 (e) -20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 320152 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 4*c = -q + 4219, -21075 = -5*q - 5*c. List the prime factors of q.\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 835\/(-5) + (-6)\/4*2. Let d = x - -330. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 2)*((-3*f + 4*f + f)*(0 - 3 + 1) + 5*f - 2*f - f)*(-2*f - 3 + 3) - 134*f - 163*f**2 + 134*f.\nAnswer: -179*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33 and -0.29535?\nAnswer: -9.74655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 63, -10, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(-35) - (-91)\/(-5). Let p = u - -17. Let g = p + -1. Put -1, g, 3 in ascending order.\nAnswer: g, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -1\/12*i**4 + 0*i**3 - 18*i**2 - 8 + 0*i. Let l(q) = 436*q**2. Determine g(l(x)).\nAnswer: -872*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s + 187. Give r(47).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 176 = -5*v, 2*l - 3*v + 88 = -7*v. Let j = -24 - l. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37559233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 251376129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 46. Suppose 0 = -b + 1, v - 3 = -2*v - 3*b. Let m = v - t. What is the smallest common multiple of 18 and m?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3237 and 1027623?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) + -5 - (0 + sqrt(8)\/sqrt(4))*3.\nAnswer: -5 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*(z\/z**(1\/4))\/z))**(-25)\/(z**(-2\/57)\/(z**(9\/5)*z*z)) assuming z is positive.\nAnswer: z**(-2753\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4183\/3 + -12437\/9. Let w = -1201\/90 + t. Calculate the common denominator of 515\/63 + (-4)\/14 and w.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 - 24170702*x + 146055708793201.\nAnswer: (x - 12085351)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 93664.33 decades?\nAnswer: 936.6433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14053 (base 14) in base 16?\nAnswer: -c139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 divided by 163?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71396497 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 15 = 12*o - 11, -3*o = -5*y - 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 2474330.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -1 - 1. Let g = 118 - 116. Let x(i) = 348 + i**g + 0*i**2 + 2*i - 350. Let c(s) = s**3 + s**2 + s - 1. Determine l*c(b) + x(b).\nAnswer: -2*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 96938?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 3:20 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 24*o. What is m(1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + q = 2*d + 2, -4*d = q + 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 4*n**2 + 3*n + 10. Let p be b(-4). Let u be (3\/9*0)\/p. Suppose 0*v - k + 1 = v, 0 = 2*v - 5*k + 26. Put u, v, -1, -5 in descending order.\nAnswer: u, -1, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3191154.\nAnswer: 2, 3, 61, 8719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + 4*sqrt(72))*1 + ((sqrt(72) - (-2 + sqrt(72))) + -2)*5 + 1)**2.\nAnswer: -960*sqrt(2) + 28816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 21*k + 9. Let q be v(0). Solve -11*p + q*p = 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 1. Suppose 5 = w + i*w + 4*x, -2*x - 8 = 0. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 7*t**2 + 5*t - 2. Suppose 3*r - 15 = 5*r + 5*j, -4*r - j = -15. Suppose 0*d - 220 = -r*d. Let a be 3\/6 + d\/8. Determine c(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {n: 2, o: 1, l: 2, z: 10, i: 2, k: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-36.8.\nAnswer: 11.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -59 + 4?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5 + 17*d**2 + 0 - d - 44*d**2 + 13*d**2 + 15*d**2. Determine j(6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 241906, 483820, 725756, 967726, 1209742, 1451816, 1693960?\n\"Answer: 2*l**3 - l**2 + 241903*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 2*z**2 - 16. Suppose -2*o + 5*o - 374 = 4*h, -4*o = -4*h - 500. Let g = -116 + o. Calculate the remainder when r(5) is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 14*t**3 + 3*t**2 - 143*t + 411. Suppose -s + 4 = 4*n - 259, 5*n - 337 = -4*s. Calculate the remainder when b(3) is divided by n.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**5\/3 - 4*q**4\/3 - 2*q**3\/3 + 4*q**2\/3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11325055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 70*m**2. Let g(s) = -5*s**2. What is g(a(j))?\nAnswer: -24500*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -509\/2 - -249. Let g(t) = t**3 - 3*t**2 + 10*t - 53. Let v be g(4). Suppose 20 = 2*h - 5*h + 5*p, 11 = -v*h - 4*p. Which is greater: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p. Let b(c) = 449*c**2 - 2*c - 6. What is l(b(h))?\nAnswer: 2245*h**2 - 10*h - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**3 - 35*o**2 - 150*o = 0.\nAnswer: -30, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**5\/2 - 28*b**4 + 165*b**3\/2 + 175*b**2 - 306*b - 252 = 0.\nAnswer: -21, -2, -2\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-3))\/(11\/(-33)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 141 divided by -4\nAnswer: -141\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -75, 26\/35, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-57 + 6)*(-13 + -2). Let q = 1439 - v. Suppose -f + q = f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) -9.1 (c) 3 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) -0.1 (c) 2\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71002061.\nAnswer: 13, 761, 7177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 5099 a factor of 1549205310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.03, -404, 1853?\nAnswer: -404","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/4*(-1)\/(-5)*(-6831)\/(-621)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2612.\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 25, 19 in ascending order.\nAnswer: 19, 25, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17506211 is divided by 5851?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 730873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2052 and 162.\nAnswer: 6156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45 - (26 + 17)) + 2 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 + 2*d**3 + 4*d**3 - 5*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*y)*(-2 + 107*y + 811*y - 459*y).\nAnswer: -918*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*q - q**2 + 89*q - 303*q + 6*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b = 2*c + 10, -2*b - 15 = c. What is the hundreds digit of (-2)\/(-4) - c\/2 - -114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-4) - 5\/(-15)*15. Calculate the highest common factor of 265 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14654, -23506, -32344, -41162, -49954, -58714, -67436, -76114?\nAnswer: -84742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44647\/282 + -6650\/47. Let z(v) = -3385*v**3 - 2*v**2 - 2*v + 1. Let o be z(2). Let a = o - -758441\/28. Find the common denominator of b and a.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7305 and 6504372?\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 35*v**2 - 205*v - 31. Let u be m(-40). Sort 5, -2, -1, u, 3 in increasing order.\nAnswer: -2, -1, 3, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**2. Let p(h) = -17*h**2 + 15*h - 5. Let l(o) = 47*o - 53*o + 2 - 16*o**2 + 24*o**2. Let r(q) = -5*l(q) - 2*p(q). Calculate r(z(x)).\nAnswer: -54*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -42931612?\nAnswer: 8586322.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-128468)\/(-12) - (-50)\/(-30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1\/5))\/(q**(-8)\/q) assuming q is positive.\nAnswer: q**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38.43 - -37. Let d = -1.4297 - t. What is d rounded to 5 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 6. Suppose 0*o - 3*o = s. What is the nearest to o in -2\/3, -1, -1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 divided by -5.\nAnswer: 59\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2292*u**2 + 194817*u + 206. Give a(85).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.6627594 rounded to 1 decimal place?\nAnswer: 39.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 6*u**2 + 5*u + 2. Let f be p(-5). Let d be (-7)\/f - (-2)\/4. Let j be -39*d*(-5)\/(-45). Calculate the greatest common factor of j and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*1)\/((-3)\/(45\/3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*v = 28452 - 183972. Is 20 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -700 + 678 - (0 - 47).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -163 - 3475?\nAnswer: -3608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -45\/2? (a) -0.1 (b) 2\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -143 - -99. Let q = -2382 + 2338.0125. Let o = q - r. Round o to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k**(-2\/11))))**(-24)\/(k**3)**(3\/2))**7 assuming k is positive.\nAnswer: k**(-3717\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*w**3 + 1 + 15 - 7 wrt w.\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21238 + 21240. Suppose 0 = 5*l - 3 - 17. Solve 2*f - 2*w + 16 = 0, -d*w - 2 = -0*f + l*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*i - 104*i - 3*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 133.036 + -133. Let h = -0.164 - n. Let l = 1.7 - 2. Which is greater: h or l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2\/7))**(2\/17)\/(x\/(x*x**0))**(-1\/9) assuming x is positive.\nAnswer: x**(18\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9087276647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -391, -807, -1223, -1639?\nAnswer: -2055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 0*h + 6*h)*(-2 - 11 + 2)*(-3*h**3 + 0*h**3 + 2*h**3).\nAnswer: 88*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1211 = 5*w - 1399. What are the prime factors of w?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, u: 1, k: 3, w: 3, i: 5}. Give prob of picking 1 u, 1 i, and 1 s.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1866 and 0.6.\nAnswer: -1119.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 8 = -2*g, -2*x = x - 3*g + 15 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 2051?\nAnswer: -2050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -478, -469, -448, -409, -346, -253?\n\"Answer: r**3 + 2*r - 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3989.6 + 3990. Which is the closest to -0.09? (a) l (b) -1\/7 (c) -46 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -50215, 2, -12, -2\/3 in ascending order.\nAnswer: -50215, -12, -3, -2, -2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/14332 and -37\/6.\nAnswer: 42996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342915 is divided by 1723?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7059*n - 5*q + 17 = 7057*n, 4*n + 5*q - 11 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*r - 917 + 461 - 176*r + 456.\nAnswer: -231*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*k = 8886 + 7476 for k.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1176*a**3 - 32620*a**2 - 212000*a + 200000.\nAnswer: -4*(6*a - 5)*(7*a + 100)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 174.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 4, 151, 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -213 - 36?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -1249*h**2. Let a(c) = -c**2. What is y(a(i))?\nAnswer: -1249*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1184 + -1178. Suppose 2*d - 180 = -5*r, 0 = -2*r - 2 - t. Let u = -1 + 18. What is the remainder when d is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 156*j + 22 + 18 - 19*j - 42 + (-2*j + 3*j + j)*(1 + 4 + 1) in the form o + t*j and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 20 = -2*v. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -29.1 and -802667320.\nAnswer: -802667349.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 d when four letters picked without replacement from bbddnbnnmubabub.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -16*m - 235. Let r be d(-15). Let y(q) = -7*q**2 + 4*q + 7. Let w(p) = -3*p**2 + 2*p + 3. What is r*w(k) - 2*y(k)?\nAnswer: -k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100 + -1111101?\nAnswer: -10010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 6*v - 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 13*d**2 - d - 27. Let x be -2 + 908\/60 - 2\/15. Let y be b(x). Let w be y\/(-60) + 34200014\/6 - 3. Round w to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiuiiiuiuii. Give prob of sequence uiiu.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 32175000 rounded to the nearest 1000000?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -q**6\/6 + 3*q**4\/4 - q**3\/3 + 53*q**2\/2 - 60. Find the third derivative of w(p) wrt p.\nAnswer: -60*p**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231225624 divided by -11529?\nAnswer: 20056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 705091590 a multiple of 4570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.520022l in millilitres?\nAnswer: 520.022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssdbddbbnsdssnddds. What is prob of picking 1 n and 1 d?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0 = 6. Suppose 0 = t*p - o - 36, -29 - 7 = -3*p + 5*o. Calculate the remainder when 5\/(-2)*p\/(-10) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/4*2*(-301)\/98*4. Is -1 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25114677 a multiple of 623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -132 + 142. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*t + 173 = -245 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4191 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/26 and -29\/2834.\nAnswer: 2834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 160.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*r + 54*r + 32366 = 4*x, 2*r = -3*x - 32373. What is r rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1265480898.\nAnswer: 2, 3, 11, 113, 169681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (70\/21)\/(1\/(-15)). Suppose 41 = k - 0*k + 3*d, 5*k = -2*d + 270. Let m = k + x. Calculate the remainder when 9 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 50 = -0*j. Find the common denominator of -47\/16 and ((-1)\/j)\/((-2)\/(-234)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -357551.3 times 3\nAnswer: -1072653.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -94*p**5\/5 + 23*p**4\/8 - 13*p**3\/2 + 2*p**2 - 21*p + 35. What is the second derivative of y(w) wrt w?\nAnswer: -2256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence djj when three letters picked without replacement from {z: 1, j: 1, f: 1, d: 1, q: 1, w: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10212101220 (base 3) to base 15\nAnswer: 17840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*d + 43321 = 176750. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.8968 - -2.970875. Round r to three dps.\nAnswer: 0.074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28931*v - 29332*v - 10025 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3323470 and 3010?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1766 * -0.0488.\nAnswer: -0.00861808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 169.96 + -170. Let z = -1\/28 - -2\/7. Which is the closest to s? (a) -1 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22848 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*2*((-340)\/(-104))\/5*(-48)\/272?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 5446*n**2 + 21810*n + 16362.\nAnswer: -2*(n - 2727)*(n + 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/6 of a day?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6940*n**3*w**2 - 4*n**2*w**2 - 2*n**2*w + 114*n**2 wrt n.\nAnswer: 41640*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/46494 and -121\/41016.\nAnswer: 317832984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1320 and 1.7?\nAnswer: 2244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 7 + 8)*(-5 + 0 - 5*s + 3) - 3399*s + 7279*s - 3315*s.\nAnswer: 600*s + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13381, -26900, -40555, -54340, -68249, -82276, -96415, -110660?\nAnswer: -125005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3628236 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 75628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 18*d**2 - 15*d - 25. Let n be c(17). Let j(k) = 2*k**2 - 6*k - 9. Let q be j(n). Suppose -6*f = -5*f - q. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**4\/24 - y**3\/2 + y**2 + 801*y - 2. Let v = 1 - 3. Let h be v*(-1)\/(-2)*4. Determine t(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/5 - 764*w + 364810.\nAnswer: 2*(w - 955)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7143 and 177.\nAnswer: 421437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/5)\/(756\/1680).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015594085 to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 27. Suppose -t + s + 20 = 0, -p*t + 78 = t - 3*s. Suppose 0 = -2*x + 5*x - t. What is the greatest common divisor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -35*d + 191 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -12566190.33 to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -14. Suppose -3*u + g*t + 29 = 0, -2*u - t - 4 = -38. Calculate the highest common factor of u and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/2 + 4 - 2\/(-1). Solve i*h = -5*h + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6359 - 44515\/7. Which is the nearest to 0? (a) -246 (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -195 at least as big as 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2222012001 (base 3) to base 7\nAnswer: -332266","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 - j**2 - 5*j - 3. Let x be z(-5). Let f = x + 128. Let a = -78 - f. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -44, 3, 140, 397, 804, 1391?\nAnswer: 2188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*v - 12, -l + 5*v = -3*l + 24. Let z be ((-4)\/2)\/(l\/(-11)). Is z greater than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, c: 2, w: 8, o: 4}. Give prob of picking 1 o, 2 w, and 1 g.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001703924 to six dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/30*60\/90.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 7 - 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -17 - 43. Let v be 6\/q + 1\/(-5). Factor 0*m**2 - 10\/7*m**5 - 4\/7*m**3 + 0*m + 2*m**4 + v.\nAnswer: -2*m**3*(m - 1)*(5*m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24971653 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a day in seconds?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 5. Let x be y(7). Suppose 20 = x*k - 4. What is the first derivative of -12*z - 16*z + 12 + k*z wrt z?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/24)\/((-28)\/126).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.824651468 rounded to 2 decimal places?\nAnswer: -1.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 673, 677, 681, 685, 689?\n\"Answer: 4*h + 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3147343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.8335687um?\nAnswer: 0.0000000008335687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.139884 - -0.082981. Let d = 105 + -105.057. Let z = n - d. Round z to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 + 111010001001101100?\nAnswer: 111010001001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41518*l**2 - 124559*l**2 - 1 + 41517*l**2 + 0 + 1 + 41523*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -43 and -6?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)*z*z**(2\/9)\/z)\/(z\/(z\/((z\/(z\/z**1))\/z)))**(-39)*(z\/(z*z**2)*z*z**(-1))\/(z**(5\/2)*z*z**0\/z) assuming z is positive.\nAnswer: z**(-95\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 177989?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**3 + 1. Let w be a(-1). Let z be (-10)\/w*(-264)\/30. Calculate the highest common divisor of 11 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -502.75138 and -6.86.\nAnswer: -509.61138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15250 by -61.\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 360 and 2320.\nAnswer: 20880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - m**2 - 1)*(12 + 31 + 29)*(10*m + 11*m - 10*m) + 2*m**3 + 0*m**3 - m**3 to j*m**3 + f*m**2 + n*m + x and give j.\nAnswer: -791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -132*p - 649. Calculate u(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 j when four letters picked without replacement from jsssjjjjjjjj?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 + (-14 - (27 + -22 + -18))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 30*d**2 - 2. Let x be t(4). Let i = x - -265. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 7. Let s be (3\/y)\/(-3)*-4. Which is smaller: -0.1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfvfpyxp. What is prob of sequence pxx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**2 - 12*z**3 + 16*z**3 + 6*z**2.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56325, 112643, 168961, 225279, 281597, 337915?\nAnswer: 394233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 157473\/2 bigger than 78738?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 8:12 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 8:44 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-1*4\/56*-2). List the prime factors of ((-92)\/12)\/(s\/18 - -3).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41969.82213 to the nearest one hundred.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 81343.9 rounded to the nearest 100?\nAnswer: 81300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 5:51 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -149.4 - -149.1. What is the fourth smallest value in j, -69, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*g - 390 = 0. Calculate the remainder when 310 is divided by g.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/59, -6, -0.3, 0.6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/5))**(-18)*((r*r**3)\/r)\/(r*r**(-2\/23)) assuming r is positive.\nAnswer: r**(1068\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 31 = -5*i - 44, -4787*s + 4787*s - 3*i - 9 = 0 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -50882?\nAnswer: 50882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15209 + -15209.2. Which is the closest to 0? (a) -2\/9 (b) -2 (c) 1.04 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 t when three letters picked without replacement from tjtltltjjtl?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -16) + (-30 - -28) + -5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -64. Let t be -2 + 5 - (y - 1). Let p = -121\/3 - t. Which is the third biggest value? (a) 0 (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 14*n**2 - 9*n - 117. Let d be c(-14). Solve 15 = d*f + 60 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.74 - 16.733. Let q = w + 15. What is q rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 9:53 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**2 + b + 2. Let i(k) = -11*k**2 + 19*k + 1. Give -i(z) + 3*o(z).\nAnswer: 2*z**2 - 16*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -178.8 + 163. Round j to 0 dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -28. Determine x so that 2*x**2 + 4*x**2 + 2*x**3 - 7*x**y - 8 + 7*x**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*g = -153*g + 907 + 965 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y + 65*y**2 - 75*y**2 - 4*y.\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 395791721 to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 6:35 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -18.6.\nAnswer: -55.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*y + 666, 2*z + 7 - 3 = 0. Suppose 0 = 2*i - 12*i - y. What is the nearest to 1\/4 in i, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -520, 2, -278 in descending order.\nAnswer: 2, -278, -520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 - 5*n - 15. What is z(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23\/2 + 11. Let p = -1 - -0.5. Which is the nearest to m? (a) p (b) -3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**4\/7 + 58*b**3\/7 + 240*b**2\/7 + 38*b + 80\/7 = 0 for b.\nAnswer: -8, -5, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from heqlyle. Give prob of sequence lq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 7:42 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*n - 306*n + h = 14, 0 = 19*n + 2*h - 173 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-160)\/(-32)*162\/(-1440)*4.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1220 + -10200211?\nAnswer: -10201431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -872*b**2 - 5529*b**2 - 24480*b**2.\nAnswer: -30881*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 8721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*u - 240 = -59*u. Solve -u = -8*b - 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-471)\/(-9)*(-2 + 17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 345978.248 and -0.2.\nAnswer: -69195.6496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -16178663 times 0.1?\nAnswer: -1617866.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(86\/(-125)) - -3. Let f = -27\/172 - m. Is 6 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135899 is divided by 915?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -16) + -15 + (-1 + -23 - 1).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 + 4*o - o**2 + 11*o + 2. Suppose -5*b + 5*p = 65, -69 = 2*b + 4*p - 19. Is 7 a factor of l(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -4, -1, -5174465, -3 in descending order.\nAnswer: 5, -1, -3, -4, -5, -5174465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/101, 38346 in ascending order.\nAnswer: -3, -2\/101, 38346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 126 = 11*c. What is the remainder when 41 is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -255.149 rounded to zero decimal places?\nAnswer: -255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 16*g + 320. Let b(h) = -5*h**2 + 34*h + 4. Give v(b(o)).\nAnswer: -80*o**2 + 544*o + 384","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 390?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19386*l + 96912*l - 19382*l - 19367*l - 19384*l - 19385*l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 44. Let a = -403 + 530. What is the remainder when a is divided by r(0)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*i**6 + 25778*i**3 + 1887648*i**2 - 4 wrt i?\nAnswer: 3120*i**3 + 154668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 18.02. Let x = s + -0.98. Are x and -18 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 499390.4 and 1680.301.\nAnswer: 501070.701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 - 32. Let k(a) = -15*a**2. Determine k(l(q)).\nAnswer: -60*q**4 + 1920*q**2 - 15360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 72 + 6*t + 18 + 2*t**2 - 2*t**3 - 14 - 2*t**4 - 20 - 8 in the form m + q*t**3 + g*t**4 + y*t**2 + r*t and give m.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34439843 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235721044?\nAnswer: 2, 13, 4533097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84010 is divided by 162.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7\/3957 - -68483\/59355. Let p = 21704933\/180 - 120582. Calculate the common denominator of j and p.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 29 + 10\/(-2) + 6. What is the first derivative of -u*s**3 - 15*s**2 + 5*s**2 + 10*s**2 - 17 wrt s?\nAnswer: -90*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5821842551 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 13254*z**6\/5 + 100533*z**5\/20 + 21295*z**4\/12 + 287*z**3\/6 + z**2\/2 + z - 1401. Solve l(w) = 0.\nAnswer: -1, -1\/4, -1\/141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 14*h**2 + 24*h - 9. Let q be v(-18). Let a = 1432 - q. List the prime factors of a.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3420424 - 14?\nAnswer: -3420441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 36 - 16 = 0. Let f(l) = -l + 10. Let r be f(p). Put 1, r, 3\/2 in increasing order.\nAnswer: r, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*h + 22*h - 448 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 5. Let y(p) = 3*p + 15. Let o(h) = 7*d(h) + 2*y(h). Let x be o(-5). List the prime factors of x - 0 - (-49 + 6).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a day in seconds?\nAnswer: 20736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 + 26*a. Let m(g) = 1001*g + 9. Give q(m(h)).\nAnswer: 3006003*h**2 + 80080*h + 477","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v + v + 16 - 16 + 0*v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1272283109 to the nearest integer?\nAnswer: 35669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -538570178 divided by 41?\nAnswer: -13135858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - k + 31, 2*t + 3*k - 20 + 4 = 0. Suppose t = 5*n + 1. Suppose -b = -0*b + 4*m, -b - n*m = -8. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.6 + -5. Let g = 407.97 + -406. Let x = g - -0.03. What is the third biggest value in x, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 532 and 11571.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -320 + -13600?\nAnswer: -14220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 285 and 591375?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d**3 + 3*d + 3. Let c(k) = -5*k**3 + 2*k + 3. Let a(r) = -4*c(r) + 3*h(r). Let t(u) be the first derivative of a(u). Give t(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**3\/2 - 1341*a**2\/2 + 225120*a - 224450 = 0.\nAnswer: 1, 670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g - 5. Calculate i(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -679*p**2 - 758*p - 79.\nAnswer: -(p + 1)*(679*p + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 112 - 109. Suppose 3*w = 4*n + 26, -3*n - x*w - 4 = 5. Let q(d) = -d - 5. Give q(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 225 = -2*x + 176 - 438, x + 29 = -2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4 = 3*s + t, 0 = -s - 4*t - 4. Suppose s = w + 8*w - 18. Solve -w*r = -r - 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 979 divided by -979.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.1 (b) 0.03 (c) 3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 394 + 234. Is 73 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1128445 is divided by 376148.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22 or -4?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100110 (base 2) in base 6?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 147?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35 - 102 + 44 + 11*x - x + (2 + 0 - 1)*(0 + 0 + 2*x).\nAnswer: 12*x - 93","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47406513.\nAnswer: 3, 7, 11, 205223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.302 - 0.102. What is d rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g**2 - 4*g + 7*g**2 - 1 + 8*g - 2*g. Calculate the remainder when 17 is divided by d(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16 and (8\/12)\/(16\/390).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 4*b + 3. Let y be s(-3). Suppose y = 5*d + 4*i + 51 + 6, -3*d = -2*i + 21. What are the prime factors of (-2 + 5)*(-24)\/d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 2, -0.2, -0.129, -2, 5 in increasing order.\nAnswer: -13, -2, -0.2, -0.129, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1085d59 (base 16) to base 3\nAnswer: 1012121012222112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127906233 - 127906233 - k**2 + 1935*k.\nAnswer: -k**2 + 1935*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-22)\/11 - (-9)\/4). Let b = -20 - -20. Sort 4, b, d, -5.\nAnswer: -5, d, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33211*o - 33275*o = -768 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104020 + -1?\nAnswer: 104014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/5)\/a**8)\/(a**(-1\/3))**(2\/19) assuming a is positive.\nAnswer: a**(-2213\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180)*1 + sqrt(50)\/(sqrt(120)\/(sqrt(12)*1)).\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-21) - (-258)\/14. Let c = x - 15. Suppose -1\/3*d**c - 1\/3*d**2 + d - d**3 + 2\/3 = 0. What is d?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 6*b**2 - 15*b - 46. Calculate i(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -2 (b) 0.18 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 20 = -3*l. Let c(k) = -k**3 - k**2 + 2*k + 5. Suppose 0 = -3*f - 4 - 5. Calculate the remainder when c(f) is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8109*z**3 - 4050*z**3 + 3 + 0 - 3 - 4051*z**3.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 95*k**4 + 2336*k**3*n + k*n + 90124*k - 2*n + 1 wrt k?\nAnswer: 1140*k**2 + 14016*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.72 - -4.6643. Let z = a + -7.9443. Suppose 5 = 2*u - 1. Do z and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*b - 73 + 1, 5*b - 2*n = 94. Let m = 98 + b. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b**2 - 6*b - 13. Let k(f) = 5*f**2 - 5*f - 14. Let y(i) = 6*j(i) - 5*k(i). What is the remainder when 28 is divided by y(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 20\/(-12))*0. Suppose 3*a + 12 = 0, x = -4*b - 4*a + 23 + 97. Suppose 3*c - 44 = -8. What is the remainder when b is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -a - 21 - 17, -184 = -5*p + 2*a. Suppose -p = -2*y + 6*y. Let d(s) = 8*s**2 - 4*s + 17. Let f(z) = -2*z**2 + z - 4. What is y*f(u) - 2*d(u)?\nAnswer: 2*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i. Let p(y) = -4*y. Let b(h) = -4*p(h) - 3*r(h). Let z(g) = 8*g. Calculate b(z(x)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46.5 - -101. Let t = q - 51. Let c = -3.499814 + t. Round c to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -26.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/5)\/(34\/(-68))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millennium in months?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 0*m = -525. Let t = m + -105. Solve -9*v + 12*v - 3 = t for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.28 + 5. Let p = -0.12 - w. Let k = -3.16 + p. What is the second smallest value in 0, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -635*n**3 + 16*n + 73*n**3 - 56*n + 24*n + 16*n.\nAnswer: -562*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(585\/(-30)))\/(2\/21).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-70))\/(9\/21)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty sevenths of a week in hours?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (1 + (7 - -2) - (-2 + 8))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -183\/7 - -3540\/133. Is 0.4 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -333 + 386. Calculate the remainder when n is divided by 24.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 5. Suppose -w = r*b - 32, 3*b - 4*w - 12 = -w. Let z be 4\/(-6) + 2\/3. Solve -l + b*l = z for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {a: 3, y: 8}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696 is divided by 222?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -58*n**2 - 11*n - 15. Let z be v(-6). Let w = -1223 - z. Suppose 2*t - 1411 = -4*r + 227, -4*t - w = -2*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3527.6 rounded to the nearest 100?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zszzzgzgszssz. What is prob of sequence ggzz?\nAnswer: 7\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2268)\/(-441)*(-42)\/(-9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(1\/3))**(-2\/55)*(i*i**0\/i)**(-50))**(-2\/37))**6 assuming i is positive.\nAnswer: i**(16\/2035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2, 116.8, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004332304854 rounded to four decimal places?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 206 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 260 and 2665.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -23825*u - 72. Let z be i(-4). Suppose 38*l - z = 15466. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76 - -78. Suppose j*s - 338 = -318. What is the greatest common divisor of 140 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r - 3*r + 2*r - 4 + 2*r + 4 + (6*r - 3*r - 4*r)*(-6 + 3 + 2) - 9*r - 8 + 8 + r - 2*r + 3*r.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -4*z + 17, -5 - 3 = -4*z + 4*b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -295 - -168. Let k = 2161\/17 + t. Is k != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/5)\/i**5)\/(i*i**(1\/2)*i*i)**(2\/11))\/(i**(2\/29)*i**(1\/9))**(5\/7) assuming i is positive.\nAnswer: i**(-619489\/100485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1139337?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*j - 6 = j, 0 = -4*m - 5*j + 8. Let s(q) = -q + 2*q - m*q + 2*q. Let i(u) be the third derivative of u**5\/10 - 2*u**3\/3 - 56*u**2. Give i(s(k)).\nAnswer: 6*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -68, -4, -6, 13\/7.\nAnswer: -68, -6, -5, -4, -2, 13\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - c = -6*c - 13, -3*c = -4*o - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - g + 1. Let u be f(1). Let q be (-2)\/(-4) - (-2 + 3). Which is the nearest to u? (a) 1 (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2053 divided by 2053\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 12:47 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(637) - sqrt(637) - -6*sqrt(104)\/sqrt(8) - (sqrt(3328) - -5*sqrt(468))**2.\nAnswer: -27508 + 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2686 divided by -92414?\nAnswer: -1343\/46207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -19*h**6\/15 + h**5\/5 + 5*h**2 - 10*h. What is the third derivative of y(a) wrt a?\nAnswer: -912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 67c5570 - 15?\nAnswer: 67c5558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)*1)**2 + 5 + ((sqrt(343) - (sqrt(343) + 0)) + sqrt(343) + -1)**2.\nAnswer: -14*sqrt(7) + 692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(432) + 0) - (sqrt(432) + (sqrt(432) - (-5 + (-1*sqrt(432) - sqrt(432) - sqrt(432))))))**2.\nAnswer: 480*sqrt(3) + 6937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbwwvvbbvov. Give prob of picking 1 w and 1 v.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4656\/3880)\/((-1)\/4 - (-1)\/(-20)). Which is bigger: d or -15?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 - 34. Factor -8*m**2 + 3*m**2 + b*m + 4*m.\nAnswer: -5*m*(m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -35, -67, -123, -209, -331, -495?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**2 + u + 7. Let v(s) = -s**2 + 1. Let a(j) = -f(j) + 2*v(j). Is a(-6) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1122122121 (base 3) to base 10\nAnswer: -32551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -4*i - 24*o + 23*o, 0 = -4*o - 20 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.4 - 4.4. What is the biggest value in 2\/7, 8, x?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21*p*x + 2*p - 5*x - 358 wrt x?\nAnswer: -21*p - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 4*d - 1. Let f be n(3). Let q(r) = -8*r + 2. Is q(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276446160 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 856752?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3292 + 3314 - (81 - -1).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z**2 - 19*z + 14. What is the units digit of c(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*o = -j + 38*o - 3, 0 = -5*o - 25. Solve 0 = 4*q + j*q - 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10922 and 1147318?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*t**3 + 9*t**3 + 9*t**3 - 8*t**3.\nAnswer: 45*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - -27. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l + 13*l + 2*l as x + o*l and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 309059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*y = 8*a - 35, -5*a = 4*y - 30. Find the third derivative of 3*z**2 - 21*z + 5*z**2 - a*z**2 - z**6 - 8*z**2 - 2*z**4 wrt z.\nAnswer: -120*z**3 - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*h = 3*l - 4*l + 115*h, -3*l = h for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*d + 54, 0 = 4*t - 2*t - d - 86. Calculate the greatest common factor of t and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(756) + sqrt(756) + (sqrt(756) + -2*sqrt(756))*2 + sqrt(756))\/((2*sqrt(847) - sqrt(7)) + 3*sqrt(112))*-4.\nAnswer: 32*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 1181*c**2 + c + 28. Let n(q) = q**3 - 10. What is j(p) + 3*n(p)?\nAnswer: 2*p**3 + 1181*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -2*i - 59 + 30, 2*u = -i + 10 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255 + 37*l**2 + 265 - 9*l**2.\nAnswer: 28*l**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 20 + 4. Suppose 5*a - 142 = -3*q, -o*q + 2*a + 86 + 112 = 0. Calculate the remainder when q is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -4*f + 104, -2*n + 2*f = -0*n - 44. Suppose 2*j + 2*a = -2*a - n, 2*a = 5*j + 36. Let h be 70\/j*(-21)\/49. Which is greater: 4 or h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -3*z - 21. Let k be z - 3\/9*3. Suppose 10 = -3*l + k*l - 5*d, 0 = 5*l + 2*d - 58. What is the lowest common multiple of 7 and l?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 592, 2297, 5106, 8995, 13940, 19917, 26902?\nAnswer: 34871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10429770 divided by 267430.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/3)\/(8\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6254476\/7 + 891436. Let f = u + 2065. Calculate the common denominator of f and -31\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18739.\nAnswer: 7, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*v + 152*v - 23*v + (0*v - 2*v + 3*v)*(-4 + 2 + 1) in the form l + o*v and give o.\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w**3 - 9*w**3 + 43*w**3 + 10*w**3 - 12*w**3.\nAnswer: 15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/15)*h**(-5)*h**4\/(h*(h\/h**(-5))\/h*h))\/((h*h*h**(1\/4))**(-15))**(9\/2) assuming h is positive.\nAnswer: h**(17273\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2076297281?\nAnswer: 193, 10758017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -19, -33, -53?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-693)\/28 + 23 + 0 + (-31)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - -29. Let j = 1 + i. Is j a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2717 - q**2 + 3*q**2 + 6928 - 2619 + q - 2158 to d + m*q + j*q**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -123, 5\/109, -4\/25, 4, 2\/23, -4?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 + -0.19. Let p = 22.76 - z. Let v = p + -24. What is the third biggest value in -0.5, 0.3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - b - 11. Let u(v) = -2*v**2 + 2*v + 21. Let t(p) = -5*h(p) - 3*u(p). Is 2 a factor of t(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 36641, 36643, 36645, 36647?\n\"Answer: 2*k + 36639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**2 + c - 5. Let p be (3066\/(-90))\/(-7) - (-22)\/165. Let u(f) = -4*f**2 + f - 5. Give p*u(t) - 6*q(t).\nAnswer: -2*t**2 - t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4158668094 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m**2 + m + 8. Let q be x(-8). Round q to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z. Let k(d) = d - 1. Let c(r) = -6*k(r) - 5*n(r). What is the derivative of c(t) wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 11. Give f(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -997 + 31104. Calculate the highest common divisor of 77 and j.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1799 - 1798.6. What is the second smallest value in -2\/53, 3\/5, 0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2840 and 0.5.\nAnswer: -2839.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 2340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35767 + 35771. Which is the closest to z? (a) -2\/9 (b) -0.5 (c) -5 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 354196594*s**4 + 52*s + 357117 wrt s.\nAnswer: 4250359128*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110200212202 + 101?\nAnswer: -110200212101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 61 + (-1 - -1).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 >= -114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -977 minus -1.3687926?\nAnswer: -975.6312074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-6)*(-23)\/((-1564)\/867)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1112102 (base 3) to base 10.\nAnswer: -1118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 1:11 AM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 604 - 610. Which is bigger: 18 or o?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.01 - 1. Suppose -5*k = -2*t + 2 - 32, -3*t + 47 = 4*k. Sort t, f, 10, 4 in ascending order.\nAnswer: f, 4, t, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -396945 divided by 79389?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + 3*(sqrt(128) + sqrt(128) + (sqrt(128)*1 - sqrt(128))**2) + 5 + sqrt(128) + -1 - (1 + sqrt(128)*2*-1)**2) + -2.\nAnswer: -511 + 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 1086072\nAnswer: 1\/1086072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5 - -4)\/3)\/((-2)\/(-18)). Let x be ((-1)\/f)\/((-4)\/(-60)). Solve -3*p + x + 4 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 56. Let r be a(48). Calculate the highest common factor of r and 1024.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 4:17 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((220\/(-75))\/(-11))\/(8\/(-20))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 61051, 122101, 183151, 244201, 305251, 366301?\n\"Answer: 61050*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1345 divide 2063230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2325*n**5 - 2*n**4 - 2*n**2 - 5239*n wrt n?\nAnswer: -139500*n**2 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**6\/15 + w**4\/3 - 4*w. What is the third derivative of b(g) wrt g?\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-12) + (-17)\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 45 = 3*m, d = -3*d - 2*m + 36. Solve -2*z + 1 = -d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2798094195 - 33921.\nAnswer: -33921.2798094195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (440\/24)\/((-2)\/6*1). List the prime factors of (-1090)\/v - 2 - 2\/(-11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 97212 + -38623. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/6 and -99\/7630.\nAnswer: 22890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide ((-8)\/(-14))\/((-76)\/(-176092))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1952 and 8.\nAnswer: 1952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 = 3*x + 4*w - 116, -4*x + 10 = -5*w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c**2 + 21*c - 16. Let t(y) = -y**2 - 4*y + 3. Let p(q) = -2*r(q) - 11*t(q). Let j be p(-2). Which is smaller: j or -1\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 749 divided by 43.\nAnswer: 749\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -845 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least as big as 6\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6a1 - -192?\nAnswer: -50b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 400397 - 281544. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 872226 and 96914?\nAnswer: 872226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 230 + -228. Suppose 284 = f*d - 242. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 1)*(-7*o + 77*o + 16*o + (-2*o + 0 + 0)*(2 + 3 - 4) + 0 - 2*o + 0 + 2*o - 2*o + 2*o) to the form l*o + b and give l.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p. Let l(q) = 4 - 10 - 5 + 77*q + 11. Calculate g(l(a)).\nAnswer: -77*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 653 + -641. Suppose 7 - b = -5*h. Let c(m) = 3*m**2 - 2*m - 3. Let s(i) = i**2 + i - 1. Calculate h*c(l) - 2*s(l).\nAnswer: l**2 - 4*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21171\/65 or 325?\nAnswer: 21171\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j. Let p be 2\/((4 + -5)\/(-7)). Suppose -5*z + 29 = p. Let u(m) = 2*m - 8. Let y(f) = -1. Let w(n) = -u(n) + 8*y(n). Give z*x(o) - 4*w(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120, 110, 94, 72, 44?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/24*8\/18?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1234980 divided by 22870.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -2. Let c(r) = 2*r - 2. Let w be c(n). What is w rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 16 = 3*u. Let k(x) = -8*x - 8. Let r(a) = -a**2 - a. Let b(f) = u*r(f) - k(f). Determine l, given that b(l) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3083, -3092, -3101, -3110, -3119?\nAnswer: -3128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.589599361 - 0.5896. Round z to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or 39669?\nAnswer: 39669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/1 - 0)\/1. Let x be -3*(40\/(-15))\/8*3. Suppose -x*r + q*t = -166, 3*t + 262 = 5*r + 2*t. What is the greatest common factor of r and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 + 17990*v + 35988.\nAnswer: -2*(v - 8997)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 11:36 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -4\/254991, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9355 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -23 (b) 12 (c) 16747\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 637 and 147?\nAnswer: 1911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95334131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 4) in base 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53883 - 3*t + 53883.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 17 = -2*r + 4*t, -3*r = -5*t - 25. Suppose 0 = k + 4*j - 5 - 161, r*j = -4*k + 719. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 3, -5, -3.\nAnswer: -39, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 - 3*k. Let z be y(2). Let f be 9*-4*(-1)\/6. Suppose f*h = 2*h. Sort h, 4, z.\nAnswer: h, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -13. Sort p, -2\/21, -4.\nAnswer: -4, -2\/21, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*u**3 + 39*u**3 + 12*u**3.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 - -175188194.\nAnswer: 175188176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 9:06 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 5. What is the common denominator of (-12)\/9*(-1)\/(66\/(-117)) and k - 1 - (-46)\/(-19)?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.52 + -10.52. Let j = -1 + 2. Which is the closest to 2\/3? (a) j (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/26 - (-1088)\/9152?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4*(-3)\/24)\/((-2)\/(-4)). Is (-2 - 1\/v) + 124 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-45)\/(-2))\/(9\/(-24)). Find the common denominator of (-2)\/r*(-14 + 195) and 59\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 158 + -100. Suppose 18 = -4*k - d. Let f = 5 - k. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2135827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -5*d**8\/168 + d**5\/12 + 8*d**2. What is the third derivative of j(o) wrt o?\nAnswer: -600*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(2736) + -2 - sqrt(2736)) + sqrt(2736))**2.\nAnswer: -48*sqrt(19) + 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 3. Suppose -4*t - 46 = -j*t. Let w = 65 - t. What is the greatest common divisor of w and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6*a**3 - 2*a**2 - 13*a + 16. List the prime factors of y(7).\nAnswer: 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*p - 24. Suppose 4 = t, -p*t + 16 = -3*b - 2*b. Let v = 0.03 - 0.03. Do b and v have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 125 - -134051?\nAnswer: 134220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 0, 53793 in descending order.\nAnswer: 53793, 0, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.13 + 0.23. Let i = -0.3 + -0.7. Which is the nearest to i? (a) 0.3 (b) u (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1370.8 - 1215. What is j rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1988166 or -1.3?\nAnswer: -1988166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111 + -4?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -9*x**3 + 6*x**2 + 27*x + 29. Is j(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24.7 - 20.7. Which is greater: i or 3\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3835, -7675, -11513, -15349, -19183, -23015, -26845?\nAnswer: -30673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -155, 24, -119 in descending order.\nAnswer: 24, 5, -1, -119, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/4 + 2877*z - 2759043.\nAnswer: -3*(z - 1918)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 7*k**3\/2 - 23*k. Let x(h) = 19*h + 22. Let c(w) = -14*w - 16. Let q(j) = 11*c(j) + 8*x(j). Give -5*g(m) - 49*q(m).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g - 2*g**3 + 4*g + (2 - 2 + g**3)*(-3 - 2 + 4))*(2*g + 3 - 3)*(2 - 4 - 2).\nAnswer: 24*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107745 is divided by 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -5*y**4\/12 - 108*y. Let g(r) = -2*r. What is c(g(t))?\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k - 3 - 2*k**2 + 4*k**2 + 1)*(47*k + 18*k + 8*k).\nAnswer: 146*k**3 - 292*k**2 - 146*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -59, -27.\nAnswer: -59, -27, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 a factor of 537278590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.075 + -3.075. Which is the nearest to 0.1? (a) d (b) -2\/3 (c) 2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.61 + 0.29. Let p = 3.9 - h. Let f = -284\/5 + 56. Which is the biggest value? (a) p (b) f (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-21)*1575\/(-450))\/(29\/(-1015))?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3487 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 831*k**4 + 2000.\nAnswer: 3324*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 7:44 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iohh when four letters picked without replacement from ihihhoh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*c + 51*c - 18*c - 240 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43761955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 4*n + 77 - 42, 6*f + 4*n = 32 - 142 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -12*n + 218. What is the remainder when l(13) is divided by 39?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80380 and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-20) + (-247)\/(-26)*4\/30. Let z(u) be the second derivative of v*u**3 - 2\/3*u**4 + 0 - 2*u**2 + 21*u + 1\/10*u**5. Factor z(c).\nAnswer: 2*(c - 2)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -258782\/917 + 83\/131. Let c = -282 - d. Let p = 0.1 + -0.3. What is the smallest value in p, -0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -5*v**2 - 145*v + 1264. Give h(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - v)*(0*v + v - 3*v) - 3*v + 3*v + 3*v**2 + (-v**2 + 2*v**2 + v**2)*(-4 + 4 - 2))*(-6*v + 7*v + 8*v).\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t**2 + 3*t + 3. Let v(s) = -23*s**2 + 17*s + 17. Let p(r) = -6*v(r) + 34*w(r). Let i(a) = -15*a**2. What is p(i(m))?\nAnswer: 450*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 1, d: 16}. What is prob of sequence kc?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -24. Let z(j) = -j**3 + 16*j**2 + j - 3. Let m be z(p). Do m and 14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.7 + -4. Let o be 2421\/(-40350)*5\/(-2)*5\/(-6). What is the second biggest value in 3, a, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -8*t**3 + 53*t**2 + 25*t - 22. Let v(n) = -4*n**3 + 23*n**2 + 12*n - 11. What is -7*v(p) + 3*z(p)?\nAnswer: 4*p**3 - 2*p**2 - 9*p + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4 - 282*z + 30*z**2 - 31*z**2 + 286*z. Let r = -2 - -5. Determine p(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 26*s**2 - 60*s - 44. Let f(r) = 25*r**2 - 51*r - 43. Let l(x) = -3*c(x) + 4*f(x). Find h such that l(h) = 0.\nAnswer: -10\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 3*u - 15, 453*j + 3*u - 15 = 454*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 + 42 - 41 + 53)*(2*d**5 - 3*d**4 + 3*d**4).\nAnswer: 192*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 + 10*k + 10. Give b(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 625, 621, 623, 637, 669, 725?\nAnswer: 811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1496)\/(-154))\/34)\/((72\/(-210))\/(5\/25))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 47*h**2 + 322*h - 333. Calculate i(-6).\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 + 2*t - 2. Let f be q(-2). Let d be 25\/35 + 1*-1. Which is the biggest value? (a) 3 (b) d (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 10:20 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clpl when four letters picked without replacement from lcleppcppppppe?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 18255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 597896 a multiple of 529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 8*m**2 - 9*m + 2. Suppose -4*k + 56 = -5*w, 1 + 59 = -5*w + 5*k. Is 13 a factor of d(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 441?\nAnswer: 4851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2 = -20. Suppose -g = 9 - 13. Suppose 4*j = 2*x + 6, 4*x - g = 4*j + 4. Calculate the remainder when v is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72*p**3 + 399*p**2 - 40474*p wrt p?\nAnswer: -432*p + 798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t - 6. Let s be z(-4). Let k = s + -10. What is the units digit of (-2 - (-44 + k))\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -22207010840 and 65.\nAnswer: -22207010775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 2:49 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 151 and 13713292?\nAnswer: 13713141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 6:32 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -12*o**3 + 3*o + 24*o**3 + 4 - 13*o**3 - 15*o**2 + 13*o. Let a be m(-16). Solve u + a*u = 5*c, -2*u = -5*c + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -112, -124, -152, -202, -280?\n\"Answer: -d**3 - 2*d**2 + d - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.415 and -0.3?\nAnswer: 0.4245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + a = -5, -5*a - 18 = 91*v - 94*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -10 - 1 + 3 - 1 + 5. Let s(d) = -d - 1. What is -k(l) + 4*s(l)?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1241643 (base 7) to base 11.\nAnswer: 100400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1013*v - 1710 + 1710)*(-5 + 0 + 3) - 2*v + 4*v - v to the form z*v + q and give z.\nAnswer: 2027","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 203\/(-116)*(-8)\/(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in hours?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6*o + 37. Let x be f(-6). Let j = 1 + 2. Solve k + j = -x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8770 divided by 8770.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -11. Let f = -2 - l. Suppose f*a + 188 = 4*p, 0 = -0*a + 3*a. Is p a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fx when two letters picked without replacement from {p: 1, s: 1, f: 2, d: 2, x: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/1768*4*(-2)\/2*4\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.011 + -0.011. Which is the third smallest value? (a) -3 (b) -4\/11 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -83*r - 100*r + 266*r + 11 + 145*r. Is q(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412827990.\nAnswer: 2, 3, 5, 13760933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -67. Let n = x + -45. Solve -2*d - n = -10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29\/1129 < -5.083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8553304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 773.46045 minutes?\nAnswer: 0.5371253125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**5\/13 + 1004*m**4\/13 + 130872*m**3\/13 - 323460*m**2 - 96156450*m - 95823000 = 0. What is m?\nAnswer: -195, -1, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 3202?\nAnswer: 3201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*u + 111. Let n = -13 + u. Calculate the remainder when n is divided by 6\/4 + -1*(-329)\/14.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2507776 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11.5647088392 and -0.5.\nAnswer: -12.0647088392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -29*t**3\/3 + 59*t**2 + 34. Find the second derivative of c(a) wrt a.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c**3 - 2*c**2 - 5*c - 9. Let o be l(-2). Find the second derivative of 6*z**2 + 13*z + 17*z + o*z wrt z.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22333211102 (base 4) to base 12.\nAnswer: b6b902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 365798?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*q = -2904, -c + 2245 = -5*q + 793. What are the prime factors of c?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/1894176 and -53\/7576704.\nAnswer: 7576704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u + 1. Let d(i) = -3*i - 1. Calculate -3*d(g) - 2*j(g).\nAnswer: 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 + 32. Let w = -29 - z. Differentiate -14 - w*u + 23*u + 51 with respect to u.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tuu when three letters picked without replacement from ututuuuu.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 5*s - 2*s - 9, 5*g - 35 = 5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddzzd. Give prob of picking 2 d and 1 z.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5 + 1 + 1 - 3*n**3 - 7*n**4 - 18*n. Let r(t) = -6*t**4 - 2*t**3 - 17*t - 2. Let w(y) = 4*h(y) - 6*r(y). Find the second derivative of w(z) wrt z.\nAnswer: 96*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**5 + 3883982*x**4\/7 - 269367606562*x**3\/7 - 258393585674*x**2 - 2155160579328*x\/7 + 769696243560\/7 = 0.\nAnswer: -5, -2, 2\/7, 138717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*n - 60 = -34*n. Let h = -0.103 + -0.897. Which is the closest to h? (a) n (b) 4\/5 (c) 1\/10 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -143*c. Let a(m) = -714*m. Give 4*a(b) - 21*d(b).\nAnswer: 147*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 n when two letters picked without replacement from {r: 4, c: 3, w: 3, n: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -5*i + i + 5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(((-924)\/8)\/(-7))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7.4 in 1, 208, -3\/8, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s - 150 = 0. Let n = 0 - s. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 1 = -2*q, -2*q + 5600*y - 5540*y + 194 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -481, -483, -487, -493, -501, -511, -523?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t**3 - 3*t - 2. Let s be g(-1). What is the second derivative of 64*z**3 - 64*z**3 + 18*z - 35*z**s + 3*z wrt z?\nAnswer: -700*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 3*h**2 + 7*h - 1. Suppose 0 = -s - 5*b + 23, -2*b + 20 = 2*s + 2*s. Suppose 0 = 3*d + s + 12. Does 7 divide u(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 12 (c) 0.1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**3 + 6*b**2 - b - 2. Let o be r(-3). Let z(n) = 17*n + 3. Is 17 a factor of z(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 4 + -1 + -9. List the prime factors of 15\/(720\/(-145) - u).\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of 7*b + 0*b**2 + 0 + b**4 + 2*b**3 + 3\/20*b**5. Determine p so that t(p) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -2 - (8 - (4 - 0)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) -0.2 (c) 652\/249\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 bigger than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5389066328?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*y - 368*y = -192 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, u: 5}. Give prob of picking 1 u and 1 j.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -14 - (-4 + 0) - -3\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/7 - 96867*f**3 + 153234771327*f**2\/7 - 11535661546763535*f\/7 - 1247639631730924932\/7.\nAnswer: (f - 226059)**3*(f + 108)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/(-5))\/(8\/60). Suppose -3*c + 21 = t. Let p = 0 + -1. Which is bigger: p or c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 228\/44 + -5 + 3408\/11. Let j = 302 - o. Let x(h) = -h**3 - 6*h**2 + 17*h + 12. Give x(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2 - 27*m - 4. What is g(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5005 and 325?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3\/8 + 484641*n**2\/8 - 969273*n\/8 + 484635\/8.\nAnswer: -3*(n - 161545)*(n - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.06216 - 5.06216. Which is the second smallest value? (a) o (b) -4 (c) -121 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n + 26. Let y be w(-7). Let s(l) = 4*l - 5. Calculate s(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17100 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64.432 + -56.41. Let j = 0.022 - c. Put -0.1, -5, j in ascending order.\nAnswer: j, -5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 10\/30*-3 - 24?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38a (base 16) to base 13.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 24 = 2*y, -27 - 12 = -3*n + 3*y. Suppose -n = -6*v + 8. Let o = 0 + 10. Sort o, v, -1.\nAnswer: -1, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n = 8472 - 1640. Let x = 428 + n. Solve 0 = -4*l - 3*k + 1, 0*k - 3*k - x = 5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + -49 + (-10 - (-10 + 6))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 6*y - 114. Suppose -58 = -4*p + y. Let -5*w**5 + p*w**3 + 9*w**5 - 16*w**2 + 4*w - 16*w**4 + 0*w = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.2 + 15.8. What is the fourth smallest value in -1\/3, x, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 907218 and 46524.\nAnswer: 1814436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kunw when four letters picked without replacement from {n: 1, w: 1, v: 5, x: 1, u: 4, k: 3}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -809*b**2*l + 7871*b**2 - 11366601*l - 21 wrt b.\nAnswer: -1618*b*l + 15742*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26c5 + 483b?\nAnswer: 7122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wqo when three letters picked without replacement from owwxq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(1 + -3) - -6. Calculate the common denominator of -27\/7 and 1\/3*(582\/33 - v).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 127.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19240 in -4, -1, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/3 + 571874*s\/3 - 81759967969\/3.\nAnswer: -(s - 285937)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-7)*1*(2 - 3)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1221)\/(-165) - -19 - 26.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609512 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -109759 + 258780?\nAnswer: 149021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.2 (c) -805\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 3\/2*p**2 + 1\/3*p**3 + 1 + 2*p. Let z be v(-3). Solve -t + 3*t = -z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.01091 + -0.01091. Let y = -5 + 0. Which is the nearest to 0? (a) y (b) -0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 235 - (-1 + 7 + -2). Suppose 0 = -4*g - 2*a - 0 + 2, 0 = -4*g - 5*a - 7. Let h be g\/(-3) - (-195)\/9. Calculate the greatest common divisor of w and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 522 and 0.4?\nAnswer: 521.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n = 3*j - 354, 5*n - 15 = 0. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3908740 = 30*r + 3909520 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.5 + 7. Let a = 4 - n. Let t = 4 - 3.88. Sort a, -3\/7, t in descending order.\nAnswer: t, -3\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -306 + 313. Solve -p*j = 7 + 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y - 10. List the prime factors of l(10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 32503441555?\nAnswer: 32503441552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-2)*130\/(-15). Suppose 0 = -2*r + 495 + o. Let y = r - 149. List the prime factors of y.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -158*v**3 - 143*v**2 + 443*v - 452*v - 1844*v**5 + 158*v**3 wrt v?\nAnswer: -110640*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w + 6*w**2 - w - 5*w + 2*w. Suppose 5 + 1 = 3*n. Let t(y) = -n*y**2 - y**2 + 4*y**2. Calculate c(t(s)).\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-30)*(-820)\/(-41)*(-3)\/(-4)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-6) - (-20)\/(-30). Suppose 5*p - 228 = 2*w, 3*p + 5*w - 24 = j*p. Calculate the lowest common multiple of 20 and p.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -t**5\/300 - 71*t**4\/6 - 473*t**3\/10 + 11100*t**2. Suppose y(c) = 0. What is c?\nAnswer: -1419, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/4, 27, 0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.9, -13 in descending order.\nAnswer: -1\/3, -0.9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-690)\/(-1104) - (-3)\/(-8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpabpbbbppabbabbbbbb. What is prob of sequence pb?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -9*n**2 + 4 - 16*n + 15*n**2 - 7*n**2. Let v be y(-16). Suppose -v*i + 93 = -i. What is the remainder when 122 is divided by i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, z: 2, c: 1, p: 1}. Give prob of sequence zzp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -9) + -4 - ((-27 - 0) + 38).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3 - 17*y + 10*y + 14*y. Let v be i(-1). Is 29 a factor of 143 + (-2 - 0 - v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 208322 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -0.1 (c) 1\/5 (d) -20 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000001111011001 (base 2) in base 5?\nAnswer: 2040003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-3) + (-10)\/(-2)*4418. Let o = -13246 + z. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 21*s - 182. Let w(f) = -7*f + 65. Let i(o) = 4*l(o) + 11*w(o). Let n(u) = 11*u - 19. Give -8*i(k) + 5*n(k).\nAnswer: -k + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - 22 - (3 - -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*l - 21, 10*l = 14*l + c - 9. Suppose -4*w + 5*f - f = 12, -w - f + 7 = 0. Which is bigger: w or l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17102975 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 8*q**2 + 10*q + 5. What is l(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8 + 12\/6 + 613024\/(-54). Let n = a - -11360. What is the common denominator of -127\/102 and n?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 464247658?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3301824525?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkqkkkkkqkkkqkkqk. What is prob of picking 3 q?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/21)\/y*(y**(2\/5)\/y)\/y*y*y**(-20\/3)\/y**(1\/15))**(13\/4) assuming y is positive.\nAnswer: y**(-767\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 243, 860, 1839, 3180, 4883, 6948?\n\"Answer: 181*l**2 + 74*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2218448 is divided by 95.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 40*o**2 + 77*o + 54. Let t be n(-38). Solve t = 7*y + 37 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r**2 - 8*r + 3. Let l(s) = -2*s**2 - 2*s - 1. Let c(y) = -2*l(y) + t(y). What is c(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/sqrt(6) - (sqrt(128) + 2*sqrt(128)))**2.\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74070193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011111000111001 - -100?\nAnswer: 1011111000111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 + -44. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 8. Let o be k(-6). Suppose -o*x = -31 + 19. Let z be 6*(14\/x - 2). What is the highest common divisor of z and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -66*p - 25. Let q be t(-7). Suppose 1570 + q = 9*c. What are the prime factors of c?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4)\/(33\/(-22))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from vkr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.11 + -4.89. Let k = u - -2. Let g = -93\/2 + 46. Put -5, k, g in ascending order.\nAnswer: -5, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63695, -67506, -71319, -75134, -78951, -82770, -86591?\nAnswer: -90414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -35 (c) -37 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*o + 30. Let v(r) = -r**2 + 5*r - 6. Let k be v(4). Does 7 divide (-13)\/k - o\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*6*(-20)\/240.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s**12*s)*s)\/(s*s\/(s\/(s\/(s\/s**(7\/4)))))*(s\/(s**3\/s)*s)\/s**(-13) assuming s is positive.\nAnswer: s**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 (base 12) in base 2?\nAnswer: 1110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 1287 + 2*o**2 - 1295 + 11*o - o**2. Let g be p(-12). Factor -4\/5*b**5 - 4\/5*b**g + 0*b + 0 + 4\/5*b**3 + 4\/5*b**2.\nAnswer: -4*b**2*(b - 1)*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**(-14\/15))**(-3)\/(((f*(f*f\/((f*f*f*f\/((((f\/((f*f\/f**1)\/f))\/f)\/f)\/f))\/f)*f)\/f)\/f)\/(f*f**0))**(6\/13) assuming f is positive.\nAnswer: f**(-62\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0752 to three dps.\nAnswer: -0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -11*k**4\/24 - 19*k**3\/6 - 9*k**2. Find the first derivative of i(p) wrt p.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719231.4 litres in millilitres?\nAnswer: 719231400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65742466?\nAnswer: 2, 2003, 16411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 815*t**3 + 5*t**2 + 5*t - 5. Let d(w) = -17523*w**3 - 108*w**2 - 108*w + 108. Determine 5*d(g) + 108*k(g).\nAnswer: 405*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 6*d - 25. Let b be n(10). Suppose b*z = 34*z + 40. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1998 and 4218.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from adddqdeqee?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/602536 and 43\/1574?\nAnswer: 474195832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 507 and 108888?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 - 2*n**2 + 2*n**2 - 180*n.\nAnswer: -4*n**2 - 180*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express q - q + 841 - q**2 + 7 + 208 as w + y*q**2 + l*q and give w.\nAnswer: 1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 16053970, 16053950, 16053930?\n\"Answer: -20*x + 16053990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1851 divide 72358329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/6 - 10\/(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u - 9. Let z be r(8). Calculate the highest common divisor of 46 and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4050416 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - a - 1. Let x(c) = c + 1. Let q = -1 - -4. Suppose 0 = -214*z + 208*z + 30. Suppose q = -4*y + z*y. Give y*x(b) + 3*t(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1539) + 0 + sqrt(1539))**2 + sqrt(19) + sqrt(19) + 5 + (sqrt(1216)*-1)**2.\nAnswer: 2*sqrt(19) + 7373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 4*k + 30. Let a be d(-6). Suppose 32 = -h + a. Suppose h*x - 789 = 7*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712689503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*u + 3*n, 720*n - 20 = 4*u + 722*n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - h = 17 - 7, 36 = -3*t - 7*h. Solve j = -y - 5, -6 + 1 = 3*j - t*y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 203?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**2\/7 - 605478*b\/7 + 605475\/7 = 0. What is b?\nAnswer: 1, 201825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*z**4 + 13 - 13 + (-z**4 - 3*z**4 + 3*z**4)*(4 + 2 - 4) - 120*z**4 - 5505*z**2 + 5505*z**2.\nAnswer: -111*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 24\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -696, -700, -700, -690, -664, -616, -540?\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 18942720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4379 and 245979.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 8:14 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*(h*(h*h**(1\/5))\/h)\/h))\/h)**(-50)\/(h\/(h**(-1\/3)\/h)*h*h\/(h**5\/h)*h))\/((h**(-2\/3))**(-27))**(-10) assuming h is positive.\nAnswer: h**(716\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12, 57, 184, 435, 852?\n\"Answer: 7*g**3 - g**2 - g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 12*i + 14. Suppose -21*s + 19*s + 22 = 0. Let t be r(s). Suppose t*m - 5*m = -880000. Round m to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101 or -106?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 46980454 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1618041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 + -39. Sort g, 3, -1 in decreasing order.\nAnswer: g, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-n - 2*n + 2*n)*(-2*n - 3*n + 7*n) + 2*n - 33*n**2 - 2*n)*(2 - 2 - 2*n**2).\nAnswer: 70*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47451 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -10*j - 1. Let n(r) = 17*r + 2. Let h(f) = 3*n(f) + 5*q(f). Let v(g) = 3*g + 3*g - 7*g. Let b(z) = 4*h(z) + 5*v(z). What is b(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*n + 28925 = -3*n, 3*n - 144617 = 5*i. Let q = i - -47763. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = i - 6*i. Factor -4*y**3 - 3*y**3 + 3*y**i + 4 + 6*y - 2*y**3 - 4*y**2.\nAnswer: -2*(y - 1)*(y + 1)*(3*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3892*i = -3889*i - 34, 0 = 6*r + 3*i - 36. Factor 60*c - 3\/2*c**3 - 33\/2*c**r - 42.\nAnswer: -3*(c - 2)*(c - 1)*(c + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*u**3 - 1574417 + 1574417.\nAnswer: -235*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**4\/9 - 13234*z**3\/9 + 210986*z**2\/9 + 541150*z\/3 + 290444 = 0 for z.\nAnswer: -3, 22, 6601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o**3 + o**2 - 38*o + 38. Give p(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 188 by -47.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 11 - 1 = 0. Let i = s - -7. Let c = 3 - i. Do 2\/9 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + 4*sqrt(66)*3)\/sqrt(6))**2 + 5 - (1*sqrt(88)*-1 + sqrt(88))\/(sqrt(8) + -1*sqrt(800)).\nAnswer: 1864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awlaw. Give prob of picking 1 a and 1 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from moomm. What is prob of sequence mmm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b - 17. Let z be n(-11). Suppose c = -5*q - 30, -2*c + z*c = 3*q. Let j(d) = -4*d**3 - 4 + 3*d - 4*d**2 + 3*d**3 + 0*d**2. Give j(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28443)\/(-285) - 100)*5\/(-21)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 != 596\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*i**2 - 312*i + 3*i**4 + 170*i**2 + 175*i**2 - 5569*i**3 + 5476*i**3 = 0 for i.\nAnswer: 0, 1, 4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + ((4 - -3) + -1 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**3 - 95*l**2 - 4*l + 3. Let n(x) = -4*x**3 + 96*x**2 + 5*x - 4. Give 4*n(v) + 5*y(v).\nAnswer: -v**3 - 91*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2724 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, z: 16}. Give prob of sequence ttz.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6) + 68\/12. Let u = -6 + s. Suppose 3*x - 3*j + 3 = u, -x - 2*j = -4*x + 1. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1770353563 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/11*1914\/(-522).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 65*s**4 + 10*s**3 - 1315*s**2?\nAnswer: 1560*s + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*n + 5 + 8, 2*n + 5 = -3*v. Put n, -2, -1, 0 in increasing order.\nAnswer: n, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 2:20 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 245*u**2 - 524*u**2 - 239*u**3 + 289*u**2 to the form h + q*u + z*u**2 + m*u**3 and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: 5 - 539\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -464 - -464.1. Which is the closest to 1? (a) -4\/9 (b) 1\/2 (c) 1 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -127 (base 16) to base 14.\nAnswer: -171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2733993575382 less than -36?\nAnswer: -35.7266006424618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8224\/(-216) + (-2)\/8*(12 + (-1660)\/135).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19987 is divided by 6657.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 6. Suppose -17 = -3*o - 4*v, w*o + v - 5*v - 39 = 0. Suppose -o*a + 211 = -195. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-57)\/(-171))\/((-1)\/12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -1\/4, -2\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -55 (b) -1599 (c) -1\/5 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (8 - 0) + -6 + -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + 4*i - 2*i - 184 + 114 + 9*i**2 + i.\nAnswer: 9*i**2 + 3*i - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 72964.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 11:12 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3456 divided by -36\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 24*c + 1 + 3)*(5356*c**2 - 11499*c**2 + 5702*c**2) in the form u*c**3 + h*c**2 + z*c + r and give u.\nAnswer: 10584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*o**3*r**2*t**3 - 2*o**3*r**2*t + 2*o**3*r*t**3 + 3*o**2*r*t**2 - 13*o*r**2*t**2 + r*t**2 wrt t.\nAnswer: -90*o**3*r**2 + 12*o**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/7 + 3*i + 24\/7.\nAnswer: -3*(i - 8)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.808754 days in minutes?\nAnswer: 11244.60576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*(-3)\/6)\/(-9*(-200)\/(-8640))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -143?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 81, 132, 219, 348?\nAnswer: 525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**4\/24 + 5*m**3 + 36*m**2. Let s be t(-27). Solve 5*a + 4 = s*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5083282, -5083284, -5083286, -5083288?\n\"Answer: -2*s - 5083280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69b92 (base 15) in base 8?\nAnswer: 1221541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w*w**(-2\/5)*w*w)*w*(w**(-34)\/w)\/w)**5 assuming w is positive.\nAnswer: w**(-178)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 7416*v**2 - 3*v - 3. Let t be q(-3). Let n be (-196)\/7*t\/7. What is n rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a**2 - 83*a + 35. Let o be k(-21). Solve -o*x - 1 = -13*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -j**3\/3 + 2121*j**2 - 4498641*j - 237. Factor q(k).\nAnswer: -(k - 2121)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -2. Suppose f - m - 6 = 0. What is the remainder when (-3 - -2)\/(4\/(-52)) is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubzbbzhhuuzudzdhduud. What is prob of sequence uz?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*k - 25*k + 93*k + 281*k in the form d + w*k and give w.\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30b (base 12) to base 2.\nAnswer: -110111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5947038 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541806.\nAnswer: 2, 3, 73, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42449, 84914, 127383, 169856, 212333, 254814?\nAnswer: 297299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 856, -3, 257 in ascending order.\nAnswer: -5, -3, 257, 856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4256, 2623, 0 in decreasing order.\nAnswer: 2623, 0, -4256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -19*r**2 + 15*r + 56. What is p(-3)?\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113302 (base 4) to base 15.\nAnswer: -6b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 3.199?\nAnswer: 3.199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 54 = -2*w. What is the remainder when w is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 13, s: 5}. What is prob of picking 3 s and 1 m?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 - -56.96. What is the second biggest value in 0, k, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -2101?\nAnswer: -2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1920\/195 - (-2)\/13.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + 0)*(216\/45)\/(-12). Factor 0 - 3\/5*v + 3\/5*v**t.\nAnswer: 3*v*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13874 and -17.\nAnswer: -235858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 156561.34?\nAnswer: -46968.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22625454 to the power of 1\/3, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j**2. Suppose 14 = 9*k - 4. Let r(q) = -188 + 188 + 4*q**k. Determine t(r(y)).\nAnswer: -112*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 - -75. Let p(c) = c**3 + 49*c**2 + c + 57. What is the lowest common multiple of h and p(-49)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 500 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 5:09 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 54466134571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -3, 0, 1, 13.\nAnswer: -11, -3, 0, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*y - 156*y - 36*y - 5660 = 0 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 635 - 2537\/4. Which is the closest to q? (a) 0.3 (b) -0.9 (c) -1\/3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261\/(-29)*(-20)\/(-330).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/31? (a) -0.107 (b) 43945 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (6 - -6 - 19).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*k - 16*k + 2. Let z(o) = 171*o**2 + 5*o + 3. What are the prime factors of z(k)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -6, 3, 12, 188.\nAnswer: -6, 3, 12, 21, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 207749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5757471?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 19*f**2 - 85*f - 388. Let y be w(-22). Calculate the highest common divisor of 38 and y.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 7*z**3 + 5*z**2 + 5. Let f(w) = -3*w**3 - 2*w**2 - 2. Suppose 0 = -3*i - 138 - 42. Let y be (i\/14 + 4)*7. Determine y*x(h) - 5*f(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 - -39. Let p be (-6764)\/(-1824) - 20\/6. What is the closest to 1 in b, p, -3\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 9*g**2 + g + 10. What is l(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -6653.\nAnswer: -1330.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 4159713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 23700842\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19810249 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p**3 + 66*p**3 - 20*p**3 - 5*p**3 - 10*p**3.\nAnswer: 41*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 4*n + 1314 = 11*n. What is the lowest common multiple of 12 and n?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 53*f**2 - 2483*f + 10. Determine g(47).\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6486783.\nAnswer: 3, 797, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1a571 (base 11) to base 16\nAnswer: 6fda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -135? (a) 5 (b) 2 (c) -0.3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2917 - -2769. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -85 + 167. What is the least common multiple of c and 10?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 59?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -11) + 1 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 0*l + 5 = 0. Let w be 6*3\/243*6. Which is the second biggest value? (a) w (b) l (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8575?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10002? (a) 3\/8 (b) 1 (c) -2\/3 (d) 512\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 + 211202?\nAnswer: 212022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -31. Let l = m + -31. Solve l*j + 25 = 5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(832) - (1 + sqrt(832) + 1)) + -2)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13774893 or 13774897?\nAnswer: 13774893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 3:44 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.99519 nanometers in millimeters?\nAnswer: 0.00003199519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 n when three letters picked without replacement from lqyylqlqqnqln?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 0*l**6 + 2\/7*l**7 + 0*l**4 - 15 + 0*l + 0*l**5 + 145\/3*l**3 + 0*l**2. What is the third derivative of p(k) wrt k?\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10326\/11851 + -24\/1693. Find p, given that 9\/7*p**3 + 0 - 24\/7*p**2 + 9\/7*p + a*p**4 = 0.\nAnswer: -3, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -5197, 2, -16, -1 in decreasing order.\nAnswer: 2, -1, -2, -4, -16, -5197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 12. Let y = 650 - 650. Suppose -2*d + 3*v = -d - 22, y = -2*d + 2*v + 36. Solve -h*p = -p + d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 9*n**3\/2 - 20*n**2 + 4*n - 63. Suppose -4*b + 2*b - 49 = -3*i, 0 = i - 4*b - 13. Is s(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3893?\nAnswer: 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -1\/2*g**2 - 31*g**4 + 0*g**3 - 77 - 4*g. Find the second derivative of y(m) wrt m.\nAnswer: -744*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 13*j + 1. Let v(u) = 7*u + 1. Suppose 5 = 2*l + 27. Let n(w) = l*v(w) + 6*o(w). Let a be 2\/(-8) + 2\/8. Give n(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 65, 107, 157, 215?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/620 and -67\/200.\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 512 + -508. Suppose m*d + f - 19 - 5 = 0, -d = -3*f - 19. Solve -d*z + 5*z = 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l + 5*l - 12*l + 3*l - 18*l + 35*l + 19*l.\nAnswer: 29*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**2 - 20979*r - 378594 = 0. Calculate r.\nAnswer: -18, 7011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -7*m**3\/6 + 7*m + 125. Let z(x) = 361*x**2 - 2*x. Determine w(z(d)).\nAnswer: -2527*d**2 + 14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -975 - 202 + 52 - y - 24*y.\nAnswer: -25*y - 1125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.122 minus -0.172993565443?\nAnswer: 0.050993565443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 + -23. What is the remainder when 30 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14? (a) 2 (b) -1 (c) 12 (d) -1946 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 232157 - 95950. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 12) to base 16.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61283 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 t when three letters picked without replacement from lajqtqqaattaaa?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 6)*(-8*m + 8*m + 5*m**2)*(-3*m**2 + 3*m**2 + 3*m**2).\nAnswer: -30*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 353*p**2\/2 + 74. Let i(x) = 25*x**2 - 14*x - 23*x**2 + 14*x. What is i(f(b))?\nAnswer: 249218*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -9*n**3 + 2*n. Let l(z) = -27*z**3 + 21*z - 9. Let x(s) = -7*s**3 + 5*s - 2. Let t(k) = -2*l(k) + 9*x(k). What is 3*b(v) - 2*t(v)?\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4? (a) -2\/5 (b) -1 (c) 0.117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cnccnnlcjc. What is prob of picking 1 c and 3 n?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 z when four letters picked without replacement from zhzzxxzzzhzzz?\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 5)*(-2146*s + 1133292 - 1133292).\nAnswer: -4292*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 100*w + 853. Calculate n(-8).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -41 + -3 + (14 - -22)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 10*k + 6. Let r be u(9). Let z be 92\/(-15) - r - -3. Sort z, 0.1, -0.3.\nAnswer: -0.3, z, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*n - 132 = 12*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -31. What are the prime factors of 21\/f + (1 - -27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 5 - 1347 = 0. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + 4*3\/(-2). Let k be -1*(-1 - (s + 2)). Solve q = -0*q - k for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) 0.5 (c) -4\/7 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 143113546*u**3 - 1853598*u - 14?\nAnswer: 858681276*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 800145*w - 400235*w - 400090*w + 6.\nAnswer: -180*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*m + 1545 = 116*m + 3533 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 8*y - y)*(1 - 3 - 8).\nAnswer: 50*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 7*r - 15 + (-1 + 5 - 5)*(3 + 2*r - 1 - r))*(-19 - 179 + 61).\nAnswer: 1096*r + 274","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422*b - 562*b + 9104 = 166*b + 263*b for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -455 - -4345. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121436868 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 - 18. Let n be (i\/(-6))\/(3\/(-6)). Solve -5*z - n = 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111003 + 1114?\nAnswer: 112122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccxc when four letters picked without replacement from {f: 2, n: 3, c: 3, s: 1, w: 4, x: 2}.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 2*r + r)*(2 - 2 - 2*r) + (r + 3 - 3)*(-3*r + 0*r + 4*r) + (-1 + 2 + 1)*(4*r**2 - 4*r**2 - 3*r**2).\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 0 - 4)*(92*f + 15*f**2 - 92*f) as h*f + n*f**2 + x and give n.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*x - 203185, -12*x + 253990 = -7*x - 2*h. What is x rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 106*q - 107*q + 8 + 2.\nAnswer: -q + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 741 is divided by 3\/((-12)\/(-368)) - -1?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5304 plus 0.1?\nAnswer: -5303.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -600*y + 1204*y - 603*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14401.\nAnswer: 14401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8560466l?\nAnswer: 856.0466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150269 is divided by 3749.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-40))\/((-2)\/5001068*9). Let d = 217789\/12 + s. Let x = 2685 + d. Calculate the common denominator of x and 73\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i**2 + 3*i. Let d(w) = -23024*w - 74. What is d(r(g))?\nAnswer: -138144*g**2 - 69072*g - 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/45, -1, 1\/6 in increasing order.\nAnswer: -1, -1\/45, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 21*q**2 + 17*q + 57. Suppose 40 = 2*a + 3*h - 15, -2*h + 30 = a. Give n(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -7*f + 91. What is the remainder when l(4) is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**4\/11 - 2*m**3\/11 + 4*m**2\/11 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 218581, -4, 0, -18 in ascending order.\nAnswer: -18, -4, 0, 218581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/19, 3, 0, 12?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -304401243 (base 6) to base 13.\nAnswer: -11209b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-170 + 6*m + 170)*(1 + 2 - 5) + m + 1 - 2 + 0.\nAnswer: -11*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15437.\nAnswer: 43, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 2*q - 22, a = -4*q - 27 + 5. Let p = a - -8. Suppose -b - 144 = -5*d, -d - 5*b = -30 - 4. Sort -1, p, d in increasing order.\nAnswer: -1, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*t = 115*t + 166*t + 79*t - 15072 for t.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 108890970 rounded to the nearest one hundred thousand?\nAnswer: 108900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**2\/2 + 306043*a - 1836276 = 0.\nAnswer: -612092, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = a - 559 + 58, -o = -5*a + 2460. Suppose -5*z = -5*g - 15, -3*g + 1 + 0 = -z. Suppose -95 - a = -g*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9, 100, 191, 282, 373?\n\"Answer: 91*w - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 - 6*d + 2. Let r be w(3). Put 3, r, -2, -17 in descending order.\nAnswer: 3, r, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1551185, 6204998, 13961353, 24820250, 38781689?\nAnswer: 55845670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 36*x - 29. Let u be k(-27). Solve -4*d + u - 218 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 126 + -123. Suppose 4*u - 4*a - 20 = 0, -l*u + 2*a - 11 = -8*u. Put u, -5, 2, -3 in decreasing order.\nAnswer: u, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -4, -38 in ascending order.\nAnswer: -38, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4, -5*c - 3*k + 204 = -c. Suppose 25*j - 451266 + 448566 = 0. What is the greatest common factor of j and c?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20817.32 rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9481.672m in nanometers?\nAnswer: 9481672000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -52\/7 (c) 3 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**2 + 5*d**2 + d**3)*(0*d**2 - 1 - 4*d + 2*d**2 + 0).\nAnswer: 2*d**5 - 4*d**4 - d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -13*o**3 + 5*o - 11. Let c(d) = d**3 + d**2 + 2*d. Let v(x) = -3*c(x) - m(x). What is the units digit of v(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 3*q - 3. Let i be z(2). Let b be 2\/7 + (-1722)\/(-147). Is i at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-51)\/(-85))\/((-6)\/(-710)). Suppose -4*o + 3*m = -h + 6, 0 = -2*o + 5*m + 43. What is the greatest common divisor of 63 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 4*d - 4 = -3*y, -5*y + 17 = d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9535823 to the power of 1\/3, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 269, 267, 263, 257, 249, 239?\n\"Answer: -y**2 + y + 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1248 is divided by 97.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -138 - -138. Sort 4, 14, q in ascending order.\nAnswer: q, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50195500 to the nearest one hundred thousand.\nAnswer: -50200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544 is divided by 32.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 9, 9, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -685*o + 8338 = 26148 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/10*(-159)\/(-636).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 100523737 and -24.7.\nAnswer: 100523712.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 146, 209, 274, 341, 410?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkz when three letters picked without replacement from {z: 6, p: 7, k: 1}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 12:36 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6b - -66a?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -75 + 105. Let a = c + -29.99999938. Round a to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -10*y**3 + 28*y**2 - 6*y - 3. Let m(v) = -10*v**3 + 27*v**2 - 7*v - 4. Let g(t) = -7*h(t) + 6*m(t). Find the third derivative of g(f) wrt f.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*y**2 - 3*y + 2*y - y**4 - 65*y**2 + 29*y**2 - y**3 in the form a*y**4 + k*y**2 + t + o*y**3 + x*y and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 217 - 5*u**2 + 180 + 201 - 10*u**3 + 3*u**2 + 109*u**5 wrt u?\nAnswer: 6540*u**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -897 - -896.999992904. What is v rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 453 + -387. What is the derivative of -152 + 230*w - 68 + 29 - n wrt w?\nAnswer: 230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.83563 weeks in minutes?\nAnswer: 673703.1504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, z: 4}. What is prob of picking 3 r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**2 + 10. Let g(l) = -17094*l. What is g(q(w))?\nAnswer: 51282*w**2 - 170940","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 389040 and 36?\nAnswer: 1167120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -10 - (-15 - -5)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1048*t = -2584*t - 2547*t - 630258 for t.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2108003.\nAnswer: 2108003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 4 - 68. Let j = q - -40. Let d(m) = m**3 + 7*m**2 - 6*m - 11. Calculate the remainder when d(-6) is divided by j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 - 4)*(-292*c - 27 - 35 + 61) to the form m + f*c and give f.\nAnswer: 876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -346900 rounded to the nearest one thousand?\nAnswer: -347000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -87 + 253. Let c = w - 168. What is the closest to 2\/23 in 1, c, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + c**2 + c + 5. Let q(u) = 2. Calculate 5*q(f) - 2*x(f).\nAnswer: -2*f**3 - 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f + 76 = 153 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, k: 2}. What is prob of sequence pk?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*t**5\/5 + 84*t**4\/5 - 441*t**3\/10 + 343*t**2\/10 = 0. What is t?\nAnswer: 0, 7\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 11:56 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -5*k + 2*k + 7, 0 = -4*k - l for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/2)*y*y*y**(-4)*((y\/((y\/((y*y**(-5)*y)\/y))\/y*y))\/y)**(1\/12))**(-13) assuming y is positive.\nAnswer: y**(143\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 11*y**2 - 4*y - 3. Let q be x(-11). Suppose 4*i = 1 - q. Let a = i + 10. Is -1\/41 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/30)\/((-2)\/80*2). Let f = 18 - o. Suppose 4*d = f*i + 10, -i = 4*i - 25. Solve 3*h - 3 = d*h + w, 4*h - 3 = -5*w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2. Let n(q) be the first derivative of -2*q**2 + 5. Determine n(h(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.01 (b) 1\/5 (c) 3433\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 356417 and 535.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 23. Calculate the common denominator of 19\/11 and 1 + j\/7*-2.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*w**4 - 1532*w**3 + 5*w**2 + 14*w - 7.\nAnswer: 192*w - 9192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-1) - -6)*36. Suppose -23 = -5*t - v + 295, 2*v - z = -4*t. Suppose -59*w + t*w - 5335 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*r + 11593 + 121937. What is the thousands digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 257, 1054, 2357, 4160, 6457, 9242, 12509?\nAnswer: 16252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (4 + (4 - 4) + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(72)\/sqrt(2))\/sqrt(12) + 4) + -3 + ((sqrt(6) + sqrt(24)\/sqrt(4))\/sqrt(2) + -5)**2.\nAnswer: -15*sqrt(3) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 18 + 11 = 38*b - 35*b, 2*o + 2*b - 10 - 12 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-26)\/(-7) - (-2)\/7. Let r be 3 - ((-11)\/d)\/(-1). Determine b so that 1\/4*b**2 + r*b - 1\/2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -45 - 44?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 355 (b) 5 (c) 2 (d) -37\/36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 11:24 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*c**3*z**3 - 23420*c**3*z + 5707*z**3 wrt z.\nAnswer: -24*c**3*z + 34242*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1040 and 360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1137*b + 345093 - 1115399 = 9488*b + 685319 for b.\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/24*(4119\/(-315) + 13)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 10:06 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231 (base 7) to base 5.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35743 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*f**5 - 2*f**4 - f**2 + 44 wrt f?\nAnswer: -2160*f**2 - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-176)\/(-110) + (3\/15)\/((-5)\/515)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -144*q + q**3 - 2 + 2 + q**2 + 183*q as s*q**2 + f + m*q + z*q**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-17 + -1)*(-5)\/(-2). Let q = s - -76. List the prime factors of q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2852429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + 9 + -8 + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.08 + -0.03. Let w = l - 0.45. Let d be (-10)\/6 + 6\/9. Which is the third biggest value? (a) w (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 154 + 147 + 100*d + 153 - 34*d - 452. Let b(x) = 333 - 333 - x. Give b(y(g)).\nAnswer: -66*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ryu when three letters picked without replacement from {u: 1, r: 1, y: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 3*i**2 - 3*i - 1. Suppose 2*f - 14 + 16 = 0. Let c be w(f). Is 2\/53 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**7\/3 - 4*q**4\/3 + 26*q. Find the third derivative of t(i) wrt i.\nAnswer: -840*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.15*-45245628\nAnswer: 6786844.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 9*d**2 - 10*d - 12. Let u be n(-8). Suppose -u*l = -3*l - 1. Let t = 3 - 5. Sort 2, t, l.\nAnswer: t, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1111\/273 + 100\/21. Let m(j) be the second derivative of 0 - 4*j + v*j**2 + 1\/130*j**5 - 5\/78*j**4 + 1\/13*j**3. Solve m(k) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 97493.82ug?\nAnswer: 0.00000009749382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*s + 13*s + 22*s - 92*s + 23*s.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -229646\/25 <= -9187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -54187.31 and 0.588275.\nAnswer: -54186.721725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -43. Let m be (-3 + 30\/y)*(-1 + 1). Let z(j) = j + 6. Give z(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 102 - 102. Suppose -5*v + t + 126 = l, -27 = -2*v + t + 21. Suppose 9*z - v - 19 = 0. Solve 9 = 5*i - k - 11, -4 = -i + z*k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 118 + -83 - (2 + 16)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.034 take away 743034779158?\nAnswer: -743034779157.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 11. Put x, 5, -3 in descending order.\nAnswer: 5, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 7. Suppose 5*j + x = -24. Let q(z) = -z**2 - 8*z - 6. What are the prime factors of q(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 937?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 468803763 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*q**2 + 58*q**2 + 9*q**2 in the form w*q**2 + o + n*q and give w.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-582)\/(-7275))\/((-1)\/(-675)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -166954700 to the nearest one hundred thousand.\nAnswer: -167000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 4*x**3 - 48*x + 352*x**2 - x**4 + 8 + 0*x**4 - 695*x**2 + 351*x**2. Factor p(m).\nAnswer: -4*(m - 3)*(m - 2)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y. Let s(w) = 1521688*w. Give u(s(r)).\nAnswer: 3043376*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 d when two letters picked without replacement from dddxjdx.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 2:21 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, 0.5, 61017, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/15? (a) 0.01 (b) 6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = g. Suppose c - 2*u = -4, -4*c = -g*u - 0 + 8. Solve 0 = -5*x + 5 - c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**2 + 2*z. Let m be d(-1). Find the third derivative of 71*o**m + 17*o**6 + 79*o**2 - 157*o**2 wrt o.\nAnswer: 2040*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7904, -7880, -7866, -7868, -7892, -7944, -8030, -8156?\nAnswer: -8328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 1272538032?\nAnswer: -1272538032.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -8. Let g(m) = -m + 4. What is the remainder when 35 - -1*(-1 - 0) is divided by g(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-10) - 4\/(-10). Calculate the lowest common multiple of (a*16\/2)\/((-4)\/(-6)) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 323.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 342200 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0, 2\/4329, 2, -27.7.\nAnswer: -27.7, 0, 2\/4329, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r + 6. Let k be v(1). What is the third derivative of -21*b**4 + 46*b**k - 22*b**4 + 4*b**2 + 7 wrt b?\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, d: 2, f: 3, n: 1, b: 1, i: 1}. Give prob of picking 1 f, 1 n, and 1 d.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*t, 26 = -0*y + y - 4*t. Let r = -4 + 6. Suppose 4*h - 5*l = 89, h + 0*h - r*l - 26 = 0. Calculate the least common multiple of y and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f - 3*f - f**2 + 2*f - f. Let i be u(-4). Let t be (i\/2)\/((-10)\/(-5)). Solve -3*v + 2*k = t, 4*v - 4*k + 1 = -k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 5:03 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -7*o + 1. Let z be a(-2). Let s be 15*((-3)\/z + 1). Calculate the common denominator of (537\/s - -1)\/(-9) and -53\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-7)\/(-294)*-6. Let n = -69 + 69.2. What is the closest to -0.2 in n, -3\/4, i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1331))**2*6 + sqrt(1331) + -4*sqrt(1331) + -3.\nAnswer: -33*sqrt(11) + 127773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 2*t + 10. Let n be a(-4). Suppose -2*d = -6*d + 5*w - 244, -5*d + n*w = 305. Let p = d - -98. What are the prime factors of p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2. Let p(o) = -5*o - 12. Let d(u) = -6*u - 13. Let h(f) = 3*d(f) - 4*p(f). Give l(h(r)).\nAnswer: -4*r**2 - 36*r - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbzmezbbezedzzh. Give prob of sequence dd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000121003871 to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -8, 5, -2, 2, -0.2, 3\/8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.0912 * -16.3\nAnswer: -1.48656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**3 - 4*w**2 - 5*w + 1. Let m(s) = 3*s + 11 - 17*s - 11*s**2 + 6*s**3 - 8. Give 11*j(g) - 4*m(g).\nAnswer: -2*g**3 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74 and 18537?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200002 + -2?\nAnswer: -1200011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + c + 2. Let v be j(-2). Suppose 0 = 4*l + v, 2*b + b = -5*l + 28. What is the second derivative of -b*h**4 + 0*h - 4*h - 2*h wrt h?\nAnswer: -132*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 93467 + -93466. Let d(i) = 10*i**2 + 10*i - 8. Let s(r) = -r**2 - r + 1. Let m = 29 - 21. Calculate m*s(v) + q*d(v).\nAnswer: 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from lllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -5)\/(-25 - -24). Let v be j*(-3 - (368\/36)\/(-4)). Suppose -16\/3 - 1\/3*t**2 - v*t = 0. What is t?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p\/p**(-17\/5)*p)\/p)\/p**(3\/34))**(-42) assuming p is positive.\nAnswer: p**(-18963\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 5233.\nAnswer: 5233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2087, -1\/28, -4?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 441 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*z + 68*z + 64 = 0. Find the third derivative of z*u**4 + 24*u**2 - 22*u**2 - u**4 - 20*u**2 wrt u.\nAnswer: 360*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 3*q + 21, 2*q + 12 = 3*o - 11. Let a be 75\/o - 2\/(-3). Find the second derivative of -4*t + 4*t**4 + a*t**2 - 9*t**2 + 0*t**4 wrt t.\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 - 3.5. Let o = -5304.6 - -5305. Which is the nearest to o? (a) i (b) 0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7732 + 7734. Put 35, 34, k in increasing order.\nAnswer: k, 34, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174089418023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 18, -3, -0.5, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1868 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.003 to 1 decimal place.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -39*v**4 - 3*v**3 - 4*v**2 - 51*v + 4. Let l(w) = -w**4 - w**2 + w + 1. Let y(d) = -4*l(d) + n(d). Find the second derivative of y(h) wrt h.\nAnswer: -420*h**2 - 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3650 by 33.\nAnswer: 3650\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (11 - 5) - 43 - 4\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -3*h**2 - 195393414*h - 3181548852881283 = 0?\nAnswer: -32565569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 a factor of 21616556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 13. Let m(u) = -4*u - 19. Let x(g) = -23*g - 114. Let a(d) = 34*m(d) - 6*x(d). Let z(b) = 3*a(b) - 8*q(b). List the prime factors of z(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s**3 + 7*s**2 - 7*s + 3. Let v(q) = 3*q**3 + 4*q**2 - 4*q + 2. Let r(o) = o**3 - 3*o**2 - o - 5. Let t be r(4). Calculate t*v(a) - 4*z(a).\nAnswer: a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3346.973ml?\nAnswer: 3.346973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (15 + (17 - 33))) + -15.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1683922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11701234.\nAnswer: 2, 53, 59, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**5 + 1025*v**4 + 7425*v**3 - 1025*v**2 - 7420*v = 0?\nAnswer: -7, -1, 0, 1, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rru when three letters picked without replacement from {r: 4, s: 3, j: 3, u: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 407234*p**3 + 0 + 407216*p**3.\nAnswer: -18*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + 11. Let l = 29 - j. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 921969 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 464, 14, 1, 10, 5, 31 in descending order.\nAnswer: 464, 31, 14, 10, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3)**(-1\/10)*(d**(-3\/4)\/d)**48 assuming d is positive.\nAnswer: d**(-843\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 340478\/591 or 575?\nAnswer: 575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5327688 minutes to milliseconds.\nAnswer: 31966.128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 4b0c221?\nAnswer: 4b0c221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 469.\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ugfgrgukgfkggu. What is prob of picking 1 k, 1 f, and 1 u?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 6:37 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 10*l**2 - 3*l - 8. What is b(10)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17625, -17625, -17633, -17655, -17697?\nAnswer: -17765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - z = -155, x - 7*z - 31 = -3*z. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/1*6*5\/105.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 7*y**2 - 7*y - 7. Let n = 16 - 8. Let w be z(n). Which is smaller: 4\/3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 230 + 76*l**2 - 2*l - 8\/5*l**5 - l**4 + 0*l**3. Find the second derivative of g(z) wrt z.\nAnswer: -96*z**2 - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p - 3*p + 7*p + (-1 + 0 - 1)*(-8*p + p + 3*p))*(0 + 3 + 1) in the form i + u*p and give u.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d + 10*d + 63 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 779\/3 - 259. What is the second biggest value in 2\/7, 117, f, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 249*u**2*x**2 - 270*u*x**2 - 2*u wrt u.\nAnswer: 498*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41601 and 13850586.\nAnswer: 849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 62050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 - 4*c**2 - 3*c - 3. Let w(f) = f**3 - 3*f**2 - 2*f - 2. Let y = 16 - 26. Let x = y - -6. Determine x*w(b) + 3*q(b).\nAnswer: 2*b**3 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t + 21*t = -13*t - 5*t + 7810 for t.\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.72 + 0.5?\nAnswer: -5.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2)*-51)\/(65\/(-4) + (-11373)\/(-2676)).\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 66 = 2*m. Calculate the remainder when m is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6001872 is divided by 1181.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 5 (b) 0.1 (c) 0.3 (d) -245\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-97)\/(4074\/(-2688)))\/(-2).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**5 + 37*a**4*c + a**2*c + 2*a*c + a wrt a.\nAnswer: 20*a**3 + 444*a**2*c + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**3 + 0*h**3 - 3*h**3 + 2*h - 3*h**3 - 6*h**3 + 66*h**2.\nAnswer: -6*h**3 + 66*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11333 is divided by 1304.\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (159 - 167) + (-15 - 6) + 3.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 227 (base 13) to base 4.\nAnswer: 11303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.112 * -3.\nAnswer: -0.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 + 28*z**2 + 2*z + 34. Let r be a(-14). What is the common denominator of 51\/(-10) - (-7)\/(r + -13) and 67\/32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42816 by 2.\nAnswer: -21408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 120 - 204 = 0. Suppose 5*o + s = 2*y, 0 = 4*y + 4*o - 0*o - 100. List the prime factors of y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92 or -90?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -20 - 2\/(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 5. Let b(n) = -3*n - 11. Calculate 6*b(i) + 15*h(i).\nAnswer: -3*i + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 - 1614786?\nAnswer: -1614785.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*c - 791 = 1705 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(-3)\/(12\/16). Suppose -2*h + f = 3, 4*f - b = 12. Find the second derivative of -p**4 + h - p - 1 wrt p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 693408 is divided by 346559?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 1 = -5*g. Suppose -g*u - 10 + 2 = 0. Let q = 0.1 + 0. What is the third smallest value in u, -0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 1 - (25 - (204 + -140)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**8\/20160 - 7*c**5\/60 - 5*c**2. Let q(j) be the third derivative of i(j). Factor q(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22357*i*k*s**3 + 17*i*k*s**2 + 84*i*k - 5*i*s**3 + 6*i + k*s**2 - s**2 wrt s.\nAnswer: -134142*i*k - 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 1 + 1. Find the second derivative of 3*b**2 + 5*b**z - 2*b - 5*b wrt b.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 - 21. Let g = v - 26. Calculate the highest common divisor of 8 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -614*z**3 + 9*z**2 + 5*z - 10. Let i(t) = -308*t**3 + 4*t**2 + 2*t - 4. Determine 5*i(y) - 2*j(y).\nAnswer: -312*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-256)\/(-10) + 3\/(-5). Let l = x + -3. Let h = -6 + l. Solve 4*v + 2*y - 26 = 0, -5*v = -4*v - 4*y + h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.796421 rounded to zero dps?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -475 + 505. What is the remainder when h is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*y + 39*y - 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/152 and ((-9)\/40)\/(114\/2204).\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 88 = 4*x. Suppose 17*j = x*j + 23. Does 21 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1843292476.\nAnswer: 2, 67, 6877957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**6\/120 - 2*r**5\/5 + r**4 - 3*r**3\/2 - 118*r**2. Let t be g(23). Calculate the greatest common factor of 210 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 12*s**2 - 12*s + 10. Let o be n(11). What is the tens digit of 272\/6 - o\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*o = 38*o - 294. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 5, -15, -1, -4 in decreasing order.\nAnswer: 5, 3, -1, -4, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 33. Let u = 22 + l. Suppose -20 = -u*y - 2. Solve -2*c - y*c = 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*q + 8. Suppose -4*g = -q*m - 4 - 4, g = 3. Suppose 3*j - 53 = m*j - 5*h, 0 = -4*h. Does 19 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 g, and 1 d when three letters picked without replacement from pzdgw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17770 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 4, 14, 1 in decreasing order.\nAnswer: 14, 4, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.9 + 2. Let i = 1 - 2. What is the nearest to 2\/5 in -0.2, x, i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 6 - 22 = 0. Suppose -68 = -0*l - l + 3*z, 229 = 3*l - j*z. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 7 = 13. Let h = 8 + f. Solve 2 - 10 = h*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c - 2*c - 7 - 3*c. Let v be f(-5). Solve 0 = v*k - 2*k - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.084 + -77.084. Let z = s - -77. Let f be 3\/9*(1 - 0). Which is the closest to z? (a) -4 (b) -1\/11 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -8*p - 4 - 25*p + 12*p + p**2. List the prime factors of l(24).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + u + 438 - 39, y - 111 = 4*u. Let o = y + -64. Suppose -2*x + 4*x + o = 3*c, -50 = -2*c - 4*x. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 41421\/8 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 14. Let b(x) = 302*x - 39. Determine -b(f) + 2*t(f).\nAnswer: -300*f + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 70, 7, 4912, -3, 1, 4 in increasing order.\nAnswer: -3, 1, 4, 7, 70, 4912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 52*w**2 - 11*w - 6. Let c be a(-1). Is 396\/7 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 544621 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13965492 and 12?\nAnswer: 13965492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -42, -121, -262, -483?\nAnswer: -802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1024 and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of x**3 + 6693*x**2 + 2*x - 19672?\nAnswer: 3*x**2 + 13386*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/139 - 245\/1529. Let t = 978\/7 + -140. What is the closest to 1\/2 in t, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -2*d - 15. Does 5 divide (-2)\/(d\/39) - (-4)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 14, 7, 0, -7?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -153*u - 2129. Determine m(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2, 46, 3, -121619?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6120 divided by -90?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - u + 1. Let j(q) = 3*q**2 + q - 9. Let w(x) = -4*i(x) - j(x). Let b be w(-3). Suppose b*o = 1502 - 417. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48756872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is -555273 (base 9) in base 7?\nAnswer: -2551464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 88738586\/6*11\/(-605). Let d = f + 268904. Let j = 8\/15 + d. Which is greater: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -12 + 35*t - 14 + 19. Let p be v(5). What is the highest common factor of p and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 7*u**2 - 5*u + 1. Let p = 47 - 49. Let d(c) = 4*c**3 + 20*c**2 - 14*c + 3. Let z(b) = p*d(b) + 7*y(b). Give z(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7138 and 6225?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.091 - -13.591. Let t = a - 29.5. What is the fourth smallest value in -2\/7, 1\/2, t, 2\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 6.4052695 days?\nAnswer: 0.9150385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125641 is divided by 28?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 3*l**2 + 5*l + 1. Let p(u) be the third derivative of -u**5\/60 - u**3\/6 - 9*u**2. Let a(x) = 2*p(x) - s(x). Calculate a(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from piygiyopyipyoob?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 313887103 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**3\/3 - 10. Let v(t) be the first derivative of 13*t**2 - 2*t + 78. Calculate v(l(g)).\nAnswer: -26*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/15 + 104*a**2 + 16918*a\/15.\nAnswer: 2*a*(a + 11)*(a + 769)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q + 20. Let w be m(15). Let u = 12 + w. Let r(i) = -4*i**2 - 1. Let k be r(1). Sort u, k, -4 in decreasing order.\nAnswer: u, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414900 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 12 = -5*a. Let h be (0 - a)\/(10\/15). Suppose h = n + z, -2*n + z + 2 = -n. Solve -n*c = -3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 481, 964, 1449, 1936, 2425, 2916?\nAnswer: 3409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200212010 - 112?\nAnswer: -200212122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - 13.7. Let d = a + 25.7. Sort 10\/3, -0.4, d in ascending order.\nAnswer: -0.4, 10\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 3*d**2 + d - 1. Suppose -l - 6 = -5*j, 4*l - l = -3*j + 18. Let x(i) = -4*i**3 - 10*i**2 + 4*i - 4. Let h(z) = l*x(z) - 14*p(z). Factor h(g).\nAnswer: -2*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbfyfrb. Give prob of picking 1 m and 1 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69576371?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 8*r + 2. Suppose 43 + 1 = 2*u. Suppose -u = 5*v + 18. Let k be m(v). Solve -k*p = 5*s - 25, -5*s + p = -25 - 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i**4 + i**3 + 8*i. Let p(y) = -4*y**4 + 2*y**3 + 552*y - 559*y - 2*y**3. Suppose 5*l + 7 = -8. Let u(d) = l*k(d) - 4*p(d). Factor u(r).\nAnswer: r*(r - 2)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*f = 29*f + 180. Solve -4*p - 4*m + 20 = p, -5*p = 3*m - f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 869 by -3.\nAnswer: -869\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1438 - -32. List the prime factors of h.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**3 - 35*k**2 + 101*k - 3. Let u(m) = -m**2 - m - 1. Let n = 699 + -698. Let t(f) = n*o(f) - 3*u(f). What is the second derivative of t(a) wrt a?\nAnswer: 12*a - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**3\/6 + 2*j**2 + j. Let p be y(4). Let h(z) = -z**2 - 35*z - 97. Let m be h(-32). Is p at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.228852945 and -11.5321.\nAnswer: -11.303247055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 8*c - 1. Let d(k) = -51109*k**2. Give x(d(t)).\nAnswer: -408872*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, v: 1, k: 1, d: 4, h: 2, n: 2}. What is prob of sequence nhd?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107 + 31 + 3*c + 33 + 43 + 35.\nAnswer: 3*c + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 475 - 240. Let f = -224.1 + n. What is f rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.9 + 2.88. What is the second biggest value in j, 1, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -225 (base 13) to base 4.\nAnswer: -11301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71476157*j**3 + 12919501*j.\nAnswer: -428856942*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wfzunuwa. Give prob of sequence zwu.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.6 - 3.4. Let s = h + 8. Let j = -5.3 - s. What is the closest to 2 in -1\/8, -4\/3, j?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 25*o - 11. Determine p(-2).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2218 = 4*a - 2*m, 5*m - 2227 = -4*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 - (-78 - -25 - -62)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88 + -88.131. Sort -0.2, g, -0.5 in ascending order.\nAnswer: -0.5, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 264, 684, 1394, 2400, 3708, 5324, 7254?\nAnswer: 9504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -130277*b - 8077177. Give l(-62).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(9\/7)*b*b\/b**(25\/2)*b)\/(b**2\/b*b*b)**(-2\/9) assuming b is positive.\nAnswer: b**(-317\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 127 + 22 = 0. Let z(t) = 2*t - 32. Let f be z(o). Suppose 5 = -n, -8*s - 4*n = -3*s + f. Calculate the greatest common factor of s and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79380.53l to millilitres.\nAnswer: 79380530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a + 1 = 0. Suppose -q - a = -5. Suppose t - 2*h = -h + 28, -q*t = 3*h - 133. List the prime factors of t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*k + 96*k - 18984. What is the remainder when k is divided by 35?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -18*s - 3304. Calculate v(-91).\nAnswer: -1666","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b**3 - b**2 + b + 3. Let z(j) = -7*j**3 - j**2 + 2*j + 5. Suppose -u - 34 = -31, 0 = 11*c - 3*u - 42. Calculate c*z(w) - 5*a(w).\nAnswer: -w**3 + 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -18*u + 14*u + 14 + 3*u. Let o be t(10). Let i(n) = -n**3 + 4*n**2 + 2. Let c be i(o). Solve 4 = c*x - 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 280\/210*15\/(-12)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11.9 times 0.062\nAnswer: -0.7378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -7*v**2 - v + 1. Let c(p) = p - 180*p**2 + 186*p**2 + 4 - 5. Determine 6*c(l) + 5*y(l).\nAnswer: l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13644\/(-28425)*(-600)\/4.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + y + 9. Let i be s(0). Suppose 0 + 6 = 3*d. Suppose o - d*o = -i. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/1 - (-30)\/(-140)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 185 and 1443?\nAnswer: 7215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 u when four letters picked without replacement from kkuukukkkkkkkk?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l - 13*l + 19*l + 8*l.\nAnswer: 21*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c**3 + 2*c**3 + 2*c**3 + 2*c**3 + 2*c - 2*c + (-1 + c + 1)*(3*c**2 - c**2 + 0*c**2) - 5*c**3 + 3*c**3 + c**3 + 28*c**3 - 4268*c**2 + 4268*c**2.\nAnswer: 29*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1094186002 to the nearest integer?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 10*n - 164 = 144. Solve 13*z + n = 48 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -3 - (-1 - -12)) + 26\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2486805?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - p - 1. Let g(f) = 5*f**2 - 5*f - 6. Suppose q = -4*m - 117 + 89, 6 = -5*m + 6*q. Let z be (-1)\/(2 - 4)*2. Calculate m*b(u) + z*g(u).\nAnswer: -u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -593\/1001 + 3\/143. Suppose 0 = -5*q + 6 + 14. Suppose -3*v + q = -2*v. What is the second biggest value in 0.5, a, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147686.\nAnswer: 2, 7, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -19596 (base 15) in base 16?\nAnswer: -1415a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -2. Let b = 920 + -911. Let n = b - m. Calculate the remainder when 45 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/296 and -35\/32?\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 452724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t - 4. Suppose 0 = -2*n - 10, n = -3*r + 2*n + 230. Let f = r - 45. Let b = f + -35. What is i(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 30*b - 31. Let d(u) = -11*u + 11. Let c(h) = -17*d(h) - 6*f(h). Let j(l) = -4*l. Calculate -3*c(q) - 5*j(q).\nAnswer: -q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 129*a**5\/20 - 23*a**4\/12 + a**2\/2 + 201*a. What is the third derivative of b(s) wrt s?\nAnswer: 774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 + 172*o**2 + 822*o + 972.\nAnswer: 2*(o + 2)*(o + 3)*(o + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 282 + -282. Suppose 12*y - 19790 - 2254 = d. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 7*p + 7. Let j be (-1)\/(((-1)\/(-6))\/1). Is o(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 315833 to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4) - -1*1\/(-2). Sort k, 10, 0 in ascending order.\nAnswer: k, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(288)*-1*6 + 4)**2.\nAnswer: -576*sqrt(2) + 10381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100 + -2214?\nAnswer: -2314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207617 and 328138?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/130)\/(((-112)\/35)\/8)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009311 rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 51*i = -604 - 228 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 30*o**2 - 97*o - 78. Determine x(33).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -41 (b) -1\/2 (c) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -5. Suppose -4*y = 5*j + y - 30, -2 = -3*j + y. Suppose j*l - 5*q - 29 = n, -3*l = -q - q - 49. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3438, -3582, -3726, -3870?\nAnswer: -4014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39688006 to the power of 1\/2, to the nearest integer?\nAnswer: 6300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11070 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 2244\/26928 + (0 - 49\/12)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47 + 33. What is o rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 11:49 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 456b (base 15) to base 9\nAnswer: 22172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31956*h**3 + 7*h**2 + 1986*h + 1 wrt h?\nAnswer: 191736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -3, -156, -0.41?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q + 10*i + 19 - 7 = 16*q, -2*q - 5559 = 5*i - 5565 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c**6\/c*c))\/c**(-4)*c\/(c\/c**(-2))*c*c**2 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 191204, 191173, 191102, 190973, 190768, 190469, 190058?\nAnswer: 189517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97 - 85. Suppose -12 = n*p - 8*p. Let x be (0\/2)\/p - -69. Calculate the greatest common divisor of x and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f**2 - 2*f + 2*f)*(2*f**2 + 19*f**2 - 2*f**2) as r*f**2 + q + j*f**4 + m*f + w*f**3 and give j.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 472577 (b) -5.9 (c) -1 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*s = 391 - 86. Solve r = s - 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 994982 = 4*k, 2*k + 3*g - 127610 = 369866. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 17563*z + 69685. Determine b(-4).\nAnswer: -567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1145 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10, -16, -26, -40?\n\"Answer: -2*q**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by -2652889.\nAnswer: -38\/2652889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2.1. Let h = 0.34 + -0.4. Let d = 0.16 + h. Which is the second biggest value? (a) k (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6050)\/(-11))\/(8485\/(-1697))\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/18*4\/(-50).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**3 + 2*r**3 - r**3 + (2*r - 2*r + 2*r)*(-6*r + 7*r**2 + 6*r).\nAnswer: 15*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 0*g + 0*g**2 + 0*g**4 + 0*g**5 - 102 - 55\/3*g**6 - 61\/3*g**3. What is the third derivative of z(s) wrt s?\nAnswer: -6600*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 3*i - 11, -120*i = -3*w - 115*i - 21 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2281348503?\nAnswer: 3, 7, 191, 63197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 36*i - 169. What is z(29)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 399*m**4 + 178*m**3 - 19*m**2 - 52611472 wrt m?\nAnswer: 1596*m**3 + 534*m**2 - 38*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -19*b. Let j(t) = 5*t**2 - 3*t + 3. Let x(v) = 11*v**2 - 7*v + 7. Let w = -7 + 4. Let l(d) = w*x(d) + 7*j(d). Calculate n(l(z)).\nAnswer: -38*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1281*s**2 - 4892*s**2 + 26*s - 26*s.\nAnswer: -3611*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3652 divided by -913.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**3)**27)**(-10\/9) assuming z is positive.\nAnswer: z**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 5*a - 2. List the prime factors of -2 - (-1)\/(a - (-1212)\/604).\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**19*(o\/(o**0*o))\/o assuming o is positive.\nAnswer: o**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38796*g**3 - 97907*g**3 - 47348*g**3 - 42896*g**3.\nAnswer: -149355*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41*a**2 + 10*a**2 - 8*a**2 + (0*a + a + 0*a)*(a + 0 + 0) + 3*a + 4*a**2 + 2*a**2 - 7*a**2.\nAnswer: 43*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 8:06 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98 and 11858.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b - 2. Suppose 4*w - 5*m = 15, 3*m + 3 = 3*w + 2*m. Let k be h(w). Let a be k\/(-4) - 652\/8. Round a to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(6\/3)*7\/((-161)\/(-391)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-48252)\/(-14) + 6 + (3 - (-480)\/(-56)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11840004 divided by 102069\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26.2088 + -0.2088. What is the smallest value in 1\/2, 25, q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 38, 6 in decreasing order.\nAnswer: 38, 6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 315 - (12\/9 - (-91)\/(-21)). Suppose -5*f - 2*b = -2760, -b = f - n - 237. List the prime factors of f.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 129924565*g**4 + 4174074*g + 2.\nAnswer: 1559094780*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 4:32 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 3*i - 3. Calculate n(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32061381, 256491011, 865657151, 2051928057, 4007671985, 6925257191?\nAnswer: 10997051931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14967337 and 0.4.\nAnswer: 14967337.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1255 and 5384.\nAnswer: -6756920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b**2 - 3*b + 7. Let d(l) = 4*l**2 + 4*l - 7. Let o = -5 - -9. Let y(p) = o*d(p) + 3*r(p). Is y(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 34.55084km?\nAnswer: 34550.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 17725687 - 16354393 = 0. Suppose k = 3*j + 2*m, -2*j = -0*m + 5*m - 2840025. Round j to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00689602594 rounded to 6 dps?\nAnswer: -0.006896","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.20067 - -154774?\nAnswer: 154786.20067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7934, 15852, 23754, 31634, 39486, 47304, 55082?\nAnswer: 62814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-21))\/(9\/(-7)). Let p = -3.7244 - -3.7644. Which is the nearest to p? (a) -1 (b) d (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gv when two letters picked without replacement from {m: 1, n: 3, x: 1, g: 1, v: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 123095473 and -242.\nAnswer: 123095231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-297) - 0)*-44\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one fifth of a minute?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -313, -1828, -4557, -8500, -13657, -20028, -27613?\n\"Answer: -607*m**2 + 306*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*m**2 + 0*m**2 - 2*m**2)*(m - m - 3 + m).\nAnswer: -20*m**3 + 60*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6)\/21 - 422\/140 and (-39)\/(-84) + 3\/(-12).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9 - -0.1. Let r = 14.3161 - 0.3161. Is f at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 959?\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3\/2 + 952*h**2 - 456936*h + 3594816 = 0. Calculate h.\nAnswer: 8, 948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 156, 764, 1778, 3198?\n\"Answer: 203*q**2 - q - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68 - -73. Let q be -3 - -13 - (v + -1). Suppose q*i + 16 = -14. Put 4, 1, i in descending order.\nAnswer: 4, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-273)\/(-6) + 1\/(-2) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 + 43225?\nAnswer: 43247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 - 3*u**3 + u**3)*((0 + 4*u + 0)*(3 + 2 - 3) + 0*u - u + 2*u).\nAnswer: -18*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -350, -360, -384, -428, -498?\n\"Answer: -j**3 - j**2 - 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, h: 1, q: 2, w: 4, z: 1}. Give prob of sequence wh.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24464, -38978, -53504, -68042?\nAnswer: -82592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3801 and 2268654?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*w + 5*w - 8, -5*w - 5*y + 10 = 0. Suppose 4*j - 3*n - 1509 = 974, w = 2*n - 6. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.54 and 9.894?\nAnswer: 5.34276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -15*p + 60 - 72 - 149. Let s be i(-11). Solve -10 = 2*t - 4*v, -6 - 34 = -s*t - 4*v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91\/(-910)*15\/(-4)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*p + 570477 + 103612 = 40635. What is the thousands digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -12*q**2 + 73*q - 2. Let u be 200\/30 + ((-8)\/(-12))\/(-1). Let f be v(u). Solve -f*x + 2*a - 16 = 0, 8 = -3*x + 5*a - 11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -1163e799?\nAnswer: 1163e79d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3 - 17. Suppose 145 = k + y*k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 2*y**2. Suppose 6 - 3 = -r. Suppose 5 = 3*p - 13. Let m = r + p. Calculate c(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, 10, -36\/209, 5, -5, 2\/9, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-664)\/32 - (25\/125)\/(20\/25).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -580 divided by -5?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g - g + 0*g - g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(50) + (sqrt(2) + sqrt(14)\/sqrt(7))*-1)**2 + 2.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: What is the thousands digit of 5987?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u + 6349 - 4*u + 35*u**2 - 30*u**2 - 1283.\nAnswer: 5*u**2 - u + 5066","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 2)*(4 - 1 - 1)*((2 - 3 - 1)*(0 - 2 + 3) + 0 - 1 + 2)*(-60*v - 63*v + 109*v).\nAnswer: 84*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44846 or 44852?\nAnswer: 44852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 5. Let z(l) = 6*l - 156. What is 8*k(d) - z(d)?\nAnswer: 2*d + 196","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 149.1762 weeks?\nAnswer: 1503696.096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 33.1 * -5\nAnswer: -165.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 970\/36 - 21\/(1260\/(-8))*245\/588?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 7\/(28\/440) + (-8)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41 - -172467?\nAnswer: 172518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-4)*5\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**5\/20 + k**4\/2 - k**3\/3 - k**2\/2 + 36*k + 1. What is n(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122125126 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 15*m**2 - 6*m**2 - 7*m**2. Let u(v) = 48*v**2 + 7 - 185*v**2 + 42*v**2 + 44*v**2 + 50*v**2. What is l(u(d))?\nAnswer: 2*d**4 - 28*d**2 + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -13*s**3\/6 - 22*s**2 + 37*s. What is the units digit of p(-23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**4 - 5*v**4 + 5*v**4)*(v + 3*v - 5*v) - 2*v**3 + 3*v**5 - 12 + 12.\nAnswer: 4*v**5 - 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 0, 14*i + 3*v = 10*i - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -164146*t**2 + 173035*t.\nAnswer: -328292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -49 + (-61 + 9 - -120)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/4236 and -69\/71306.\nAnswer: 427836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*10\/90)\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3073451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -0.14336040765\nAnswer: 3.14336040765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -869 - 2?\nAnswer: -871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -30 + (-97 - -43 - -126)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21003 + -20936 - (-1 + -5).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and 0.066?\nAnswer: 0.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a microgram in nanograms?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66 - -145. Suppose 4*v = 4*c + 96, c = -5*v + 3*v + 57. What is the remainder when s is divided by v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*i - 1343314 + 1343314.\nAnswer: -64*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 4:07 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-1 + 4) - -4. Suppose 0 = j - 1, -t*q - 5*j + 3*j = -22. Let a be -1 - -2*2\/4. Solve 8 = -2*i - 3*f - 7, -q*f - 20 = a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2598*p**2 + 1297*p**2 + 1297*p**2. Let y(k) = 2*k**2 - 2. Calculate l(y(a)).\nAnswer: -16*a**4 + 32*a**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d + a02cc?\nAnswer: a02db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 1:15 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5592 rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 80\/15*3\/2. Let v be ((-26)\/n)\/((-14)\/56). What is the common denominator of -46\/9 and v + -15 - 37\/(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1480*s + 69*s**2 - 1480*s to the form k + p*s + a*s**2 and give a.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38853 is divided by 9379?\nAnswer: 1337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 20*k. Let t(p) = 56*p**2 + 9*p. Let q(g) = 14*g**2 + 2*g. Let c(j) = 9*q(j) - 2*t(j). Give c(x(z)).\nAnswer: 5600*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67300?\nAnswer: 2, 5, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.8 - -2.96. Let m = -4.8 + d. Round m to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - o + 29 = 0, 0*o = -f - 2*o + 16. Let a = 6 - 4. Suppose a*r - 5*t + 1 = -5, -2*r - 2*t = -8. Solve -5*d = -4*h - 22, r*h + 3*d = -2*h - f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**3 + 579*w**2 - 677*w - 53844. Give h(288).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*p - 0*k + 31, 0 = 2*p - k - 29. Suppose -2*q = g + 3*q - 17, 3*q = 4*g + 1. Solve o + 4*s = -p, o + g*s + 0*s + 9 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 28 + 26 = -5*c, -2*u + c = 30. Let d = -903\/2 - -435. Which is bigger: d or u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9994.30021 to the nearest integer.\nAnswer: 9994","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*q = 187 - 3251 - 71 for q.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 770837 and -47979020.\nAnswer: -47208183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21*1)\/(-14 - (-26 + 10 - -3)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 410064330?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 2*g + 3. Give v(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5*y + 10, 5*m + y = -0 + 6. Let u be 0\/2 - ((-7)\/m + 1). What is the third smallest value in u, 1, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide ((-4158)\/(-12))\/((-30)\/(-240))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*x - 121759 + 15703. List the prime factors of x.\nAnswer: 2, 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 6346992*p - 6346996.\nAnswer: 4*(p - 1)*(p + 1586749)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 24*j**2 + 46*j - 137. Is 41 a factor of m(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (81\/1)\/((-27)\/(-135)) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 68\/(-66) - -2*7\/21. Is -1 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 10*h + 27 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5 = -3*g. Let c be (7\/g)\/(-1) + 1. Suppose 4*z = -4*j + c, -10 = 2*z + 2*j - 7*j. Solve 20 = -i - 3*d, 5*i = -z*d - 3*d - 40 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114804, 229608, 344412, 459216?\nAnswer: 574020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3 = x. Let w(s) = -1 + 2*s**2 + x + 6*s - s**2. Suppose 0 = 2*l + 10. Calculate w(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52346878711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 8, -1\/6, -4929.7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, -0.3, 1, 0.0425?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 627, 1749, 3377, 5505, 8127?\nAnswer: 11237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 204 = 61. What is the greatest common factor of g and 4187?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/6*(-24)\/(-30)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 5*u = -25, 131 - 285 = 39*v - 2*u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -17, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47\/3 - -16. Let x = 0.8 + 2.2. Let v = -2.8682 - 0.1318. Which is the nearest to -0.1? (a) u (b) v (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 10548943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208 and 871?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 + 29. Let p be (-32)\/l + (-2)\/7. Suppose -b = 5, 2*u + 3*u + p*b = 45. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50585724 and 7812.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s**3 + 2*s**2 - 2*s + 5. Let k = 170 - 175. Let c(i) = i**3 - 1. Give k*c(h) - b(h).\nAnswer: h**3 - 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104583 and 434535?\nAnswer: 1473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 106. Let x = m - -360. What are the prime factors of x?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*w = 46*w + 3. Let r = 3 - 2. Let u be 90002 - (2 + r) - w. What is u rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 5 = -5*h, 5446*h - 17 = 5445*h + 4*l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 15*n - 408. Suppose 5*l - 22*l = -n. Solve 2*s + 10 = 4*o, l*s = o + o - 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031292 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a minute in milliseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 231133 (base 4) in base 6?\nAnswer: 21251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.7 + 1.3. Let f = b + -2.6. What is the second smallest value in -1\/12, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, p: 3, l: 6, n: 4}. What is prob of picking 2 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t**3*y**4 + t**3 + 108*t*y**2 + 6*t*y + 3241*y**4 wrt y?\nAnswer: 24*t**3*y + 77784*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttri when four letters picked without replacement from {r: 2, i: 8, t: 9}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 157 - (-3)\/(-4 - -1). Suppose -2*y + b = l - 65, -2*l - y = -436. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -961*f - 5204. Give q(-6).\nAnswer: 562","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(1\/3)\/((-11)\/(-33)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1330723 - 4?\nAnswer: 1330718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1242, -1149, -1036, -897, -726?\nAnswer: -517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 2*k - 12 = 3*c, 0 = -c + 2*k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 3*b + 316 - 2542, -3*g + 2*b = -1336. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**4\/2 + 3*t**2\/2 + 10*t - 68. Let i(f) = 13*f**2 + 7. What is -4*i(s) + 9*k(s)?\nAnswer: 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1915797 at least 0.61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1028 + 176 = -4*a. Suppose -4*m - 44 = -3*x + a, 4*x = 3*m + 331. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/95709?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1977?\nAnswer: 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 10*g - 16. What is y(-9)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1580.667 kilometers in nanometers?\nAnswer: 1580667000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 574, 1250, 1934, 2632, 3350, 4094, 4870, 5684?\nAnswer: 6542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 740900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 74000?\nAnswer: 148000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 - 2*k + 47 - 40 - 4*k**2 + (3*k + 4*k - 5*k)*(2*k - 2*k + 2*k) to the form t + v*k**2 + c*k and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1403 + 1450.21. Let z = 47 - t. Let l = z + 0.01. Which is greater: l or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, 1\/6, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 761 = 41. What is the remainder when w is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4 = -0*m. Let c be ((-2)\/3)\/(1\/(-15)). Suppose -16 = -4*r, -5*p - 3*r = -5*r + 8. Solve o + m*o + c = p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -1 (c) -2\/13 (d) 0.1 (e) 0 (f) -3634 (g) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -o - o - 2*p, 2*p + 2 = 2*o. Let u be (-4)\/o*((-5068)\/8)\/7. What is the third derivative of 3*y**2 + 166*y**5 - u*y**5 + 2*y**2 wrt y?\nAnswer: -900*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236*w + 98*w - 64*w.\nAnswer: 270*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000061358 rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 4 + 8)*(x - 3*x**2 - x + 0*x**2 + x**2 + 0*x**2 + (5*x - 5*x + x)*(4*x - 4*x - 2*x)).\nAnswer: -88*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*g + 212*g**2 + 4*g**3 - 81*g**2 - 2 - 132*g**2 to the form z + w*g + f*g**2 + r*g**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -5*m**2\/2 - m - 1. What is the derivative of s(u) wrt u?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84 - -167. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h*p**3 - 2*h*p**2 + 5*h*p + 410*p**3 + 93*p**2 - 4527*p - 2 wrt p.\nAnswer: 12*h*p - 4*h + 2460*p + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 196 = 3*f + 74, 0 = f + 4*k + 90. Let q = f - -95. Solve 2*t + t = -5*v - 16, 22 = -t - q*v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -201151\/235 + 856. Let r = 16903\/6580 + m. Find the common denominator of r and 33\/(-24) - 4\/(-2).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(1584)*-1*-3 - (-2 + -1 + sqrt(1584) + sqrt(1584))) + (-2 + sqrt(1584)*-2 + 1)**2).\nAnswer: 180*sqrt(11) + 19020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 162*u**5 - 3022*u**3 + 3022*u**3 + 32*u + 7*u**5 - 32*u + (-2*u + 2*u + u)*(0*u**4 + 0*u**4 - u**4).\nAnswer: 168*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -100.4 + 100.2. Suppose -1 + 13 = -4*r. What is the closest to -1\/3 in r, -17, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + (955 - 959 - (-2 + -2 + 1)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4655*q = 4631*q - 600 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3*(sqrt(1700) + -1) + -1 + sqrt(1700) + 1))**2 + 5.\nAnswer: -2160*sqrt(17) + 244886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10376 by -2594.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 216394453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*a - 1. Let n(o) = -4*o - 1. Let u be n(a). Solve u*f - x - 8 = x, 2*f = x + 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67*m**4 + 18*m**3 + 43*m**2 + 144952*m.\nAnswer: 804*m**2 + 108*m + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -146 + 139.1. Let z = -0.9 - a. Let s = -4 + z. Is s greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(9\/4)*(-11)\/((-528)\/(-108)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/9 + 61\/(-9). Let n(l) = -l - 3. Let w be n(t). Suppose w = -5*k + 24. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2959485000 to the nearest one million.\nAnswer: 2959000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 + 22 - 13*c + 3*c**3 - 3*c - 2 to x + z*c**3 + p*c + g*c**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79*i**4*j + 2*i**4 + 9*i**3*j + 2*i**2 + i - 43356*j wrt i?\nAnswer: 1896*i*j + 48*i + 54*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (1 - 9 - (-2 + -5 + 5))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 208 = -24*f. Let c = f - -49. Let x be (-9 + -6)*1\/c. Solve -1 = -x*q + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g**2 - 7*g + 22. Let a be i(-8). Let n = a - -1355. Is n a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -43*c**4\/4 - 16*c**3 - 54. What is the third derivative of j(f) wrt f?\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 10*w**2 + 10*w + 6. Let j be g(-9). Let c be 2\/j - 1743\/(-9). Let r = c + 178. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = -25*w + 16*w. Solve w = 5*c, -y - 4 = -6*c + 5*c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7293)\/(-340) + -22 + (-6)\/(-20). Which is smaller: k or -2.95?\nAnswer: -2.95","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*i + 6*s + 98*s - 4887 = -41*i - 222*s, -21 = 3*i - 2*s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 29, 52, 75, 92?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1acc5 - -4?\nAnswer: 1acc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181, 361, 541, 721?\nAnswer: 901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51027 is divided by 81.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 k when four letters picked without replacement from hkcckkkkkhcchckh.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 394738477 and 3619.\nAnswer: 4342123247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, 5, -4, -16 in decreasing order.\nAnswer: 5, -4, -16, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(4\/5)*x**(1\/13))\/(x**(4\/9)\/x**(-3\/5)))**(-3\/5) assuming x is positive.\nAnswer: x**(98\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(11) - (-1 + sqrt(1100))) + (sqrt(11) + 2)*2)**2 - ((sqrt(891)*-1*4 + sqrt(891))**2 + sqrt(891))*-3.\nAnswer: -33*sqrt(11) + 24478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 1\/4, 10, 4.9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -74595?\nAnswer: -37297.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 9626562.\nAnswer: 13\/9626562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 101.912?\nAnswer: -96.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 632 and 3?\nAnswer: 1896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 3*x + 9. Let f be m(7). Suppose f = 3*n + 1. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.999 take away -2?\nAnswer: 6.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -98, 3\/13, 31\/5, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31639.8 millilitres in litres?\nAnswer: 31.6398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-5\/11)*a)\/(a**(-2\/17)\/a*a))\/(a**(2\/23))**(-45))**6 assuming a is positive.\nAnswer: a**(143898\/4301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -352136\/3 and -117378 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37922394*y**2 - 23181913*y wrt y.\nAnswer: 75844788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**4\/12 + 7*c**3\/6 - 4*c**2 + 2*c. Suppose -3*s + 5*s - 23 = -3*k, -33 = -4*k - 5*s. Calculate w(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*a**3 - 5*a**3 + a**3)*(-3 + 0 + 0 - 4 + 4 + 2 + (5 - 1 - 3)*(5 - 3 - 4) + 2 - 1 + 1).\nAnswer: -10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -33*k**4\/8 + 98550*k**3 + 71673*k**2\/8 = 0. Calculate k.\nAnswer: -1\/11, 0, 23891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 742155750 divided by -678?\nAnswer: -1094625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c02 - 19?\nAnswer: -1c1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 9:38 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1759270 and 2574569?\nAnswer: 815299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 11:23 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**6\/360 - w**5\/40 + w**4\/24 + w**3\/6 - 2*w. Let u(b) be the second derivative of r(b). List the prime factors of u(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 49409613*a. Let d(u) = -u**2. What is d(p(m))?\nAnswer: -2441309856809769*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13673.923 rounded to the nearest ten?\nAnswer: -13670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -2.8 and -2539 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4 + 1032*k**3 + 146400*k**2 + 3334016*k.\nAnswer: 2*k*(k + 28)*(k + 244)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 = 29*x - 7 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 6*q**2 + 5*q - 4. Let b be f(-6). Let m be -1 + 0 - (2 + 49). Let g = b - m. Calculate the greatest common factor of 27 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/156)\/(2 - 5\/2)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -1473*s - 92752. Give m(-63).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + (4 + sqrt(7))**2 - (sqrt(112) + 2)**2).\nAnswer: 8*sqrt(7) + 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 1)*(0*w**4 + 2*w**4 - w**4) - 9*w**4 - 12*w**4 - 5*w**4 - 6*w**4 - 7*w**4 + 5*w**4 as f*w**4 + a*w**3 + y*w**2 + q + x*w and give f.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 - 44*v - 62. Give o(-21).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 206 or -12509?\nAnswer: 206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4543 - -4746. What is the remainder when r is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29740618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/507456 and 67\/1818.\nAnswer: 51253056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 9:05 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/18 and -43\/198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 13) to base 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from lnnnlolnnu?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 10*k**3 + 119*k**2 - 13*k + 11. What is the remainder when 135 is divided by u(-12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -28*r + 4. Let d be n(1). Let s be d\/(-182) - 6\/21. Let i = 26 + -16. Which is the biggest value? (a) -0.5 (b) s (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*k - 0*k. Let y(f) = -f**2 + 3*f. Let m be y(2). Suppose 2*a - 169994 = -m*i + 5*i, -k*i = -10. Round a to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 111300*g. Let v(b) = -4*b**2. Calculate v(m(r)).\nAnswer: -49550760000*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 6*t + 7. Let b be j(-6). Let v(d) = -d + 8. Let a be v(b). What is the nearest to -0.1 in -4, a, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 5*l**2 + 4*l - 3. Let n be s(4). Let u(b) = 2*b + 1. What is u(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(2 - 4 + 1)*(-4*b + 3*b - b)*(-3 + 6 - 2).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-128)\/(-40) - 3)*0. Put 9, w, -8 in ascending order.\nAnswer: -8, w, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 25, -3*k + 5*m = 8 + 11. Solve 3*i + 4 = 7*i - 4*c, -k*i + 4*c = -10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271091 - 271090 - 181*b**3 - 8*b**3 + 542181.\nAnswer: -189*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/6906221 and 19\/8879427?\nAnswer: 62155989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21183470.60000038 - 21183468.6. Let f = -2 + n. What is f rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - t - 1. Let y be (-8)\/2 - -8 - 1. Let s be -5*(-3)\/(0 + y). Let i(n) = -11*n**3 - 3*n - 6. Let z(d) = s*v(d) - i(d). Calculate z(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-50)*-5*4*(-35)\/(-40).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/2, -1, 0.2, -0.21?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times -0.05?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 158*s + 15. Let w(y) = -79*y - 7. Let j(a) = 6*t(a) + 13*w(a). Does 9 divide j(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 44449123 + 20440877 = 0. Round c to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s + 7*s - s + 5*s - 1847 - 5*s as k*s + w and give w.\nAnswer: -1847","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 17, k: 1}. What is prob of picking 1 b and 1 k?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1907650 divided by 190765?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 735674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2835)*2)\/sqrt(5) - ((1 + sqrt(7) + 2)**2 + 0).\nAnswer: -16 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/15)\/((1\/260)\/1). Suppose 3*k + 17 = 5*k - 5*m, -4*k + n = 4*m. Is k < 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10374 is divided by 64.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 25 = 5*k. Suppose 3*m - k*q + 17 = 0, -2*m + 5*q = -0*m + 16. Sort 5, 4, m in increasing order.\nAnswer: m, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 25*o + 57. Let i be (-1)\/(16\/(-60) + (-2)\/(-12)). Is c(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + 10.6. Let a = l + -39.35. Round a to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(2057) + sqrt(2057)*1) + sqrt(2057) - ((-1 + sqrt(2057) - sqrt(2057)) + 4)) + 3)**2.\nAnswer: 248897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*z - 10 + 26, -5*z - 40 = 4*x. Let f = -3 - z. What is the nearest to 3 in 0.3, -1\/4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 1 + 1 - 3 + 75*q. Is c(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + w - 1. Let y(k) = -k**2 + 3*k + 6. Let f be y(4). Let q be v(f). Is q\/6 + 717\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 59 in -1\/2, 237, -1\/4, 2\/11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - c - 8 = 0, -21*r + 4*c = -24*r - 23 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-4)*(2 - 0). Let g be (-1 - 0\/2) + -10. Which is the nearest to -1\/3? (a) g (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + y + 675. Let b be t(0). Suppose -4*z = -13*z + b. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 488 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 217471870 to the power of 1\/2, to the nearest integer?\nAnswer: 14747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 680 = 44*o - 45*o. Let i = o + 706. Calculate the greatest common divisor of 234 and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 459 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*v = 193*v. Let x(n) = n**2 - 2*n + 4. Calculate x(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*y - 6*y**2 - 5*y**3 - 5*y wrt y?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*v - 31*v - 15*v - 760, -4*v - 48 = -4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l - 1 - 1 + 0. Let w be v(-2). Suppose -3*m + w*n = -2*m - 1, 16 = 3*m + n. Solve 2*y - 2*p = -y, -3*p = -m*y + 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.64 + 0.36. Let h = -8.999916 + v. What is h rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + o = -70, -84 - 56 = -5*l - 3*o. Let b be 20\/l*(-5)\/(-2). Let q(a) = -a - 1. Determine q(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 159*g**2. Let s(b) = -155*b**2 + 8*b. Give s(j(v)).\nAnswer: -3918555*v**4 + 1272*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1, 0.114, -1.494, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*q**6 + 16*q**5 - 149*q**3 - 64*q**2 - 6*q - 21 wrt q?\nAnswer: -480*q**3 + 960*q**2 - 894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4*(0 + -1 + (sqrt(98) - (-1 + 1 + sqrt(98) + sqrt(98) + sqrt(98))) + 5) + 0)**2.\nAnswer: -2128*sqrt(2) + 6633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/408 and 2\/107935023.\nAnswer: 863480184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35\/2 - 18. Let g(o) be the third derivative of -o**5\/60 + o**4\/8 + o**3\/6 - 6*o**2. Let x be g(2). What is the nearest to r in -0.3, x, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 q when four letters picked without replacement from ggqggggggqggqg.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 3*b**2 - 27*b - 6. Determine a(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 8*x**3 + 49*x**2 - 70*x - 49. Let m(h) = 15*h**3 + 88*h**2 - 140*h - 97. Let i(w) = -13*d(w) + 7*m(w). Determine i(24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3\/68, 3, 1\/3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*j = -2, 2*o + 5*j + 12 = 11. Let m(b) = 52*b**2 + 6*b - 5. What are the prime factors of m(o)?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/9*2\/(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9505689.5 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34786713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/24632560 and 111\/3079070.\nAnswer: 24632560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 3*a + 0*a)*(-5*a - 62 + 62)*(-2*a - 4 + 4).\nAnswer: 30*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -7. Solve f*d - 6 = -0*c + 4*c, -3*c - 12 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-2\/5)*k)**(-17))**(2\/5) assuming k is positive.\nAnswer: k**(-442\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a week in minutes?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*w + 2*w + 38 = 8, 0 = 2*w. Let t = 458 - 268. What is the greatest common divisor of m and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*(x\/(x*x*x**(3\/17))*x)\/x*x*x*(x\/(x**(1\/47)*x))\/x*x assuming x is positive.\nAnswer: x**(1440\/799)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*k + 418, 1 + 4 = -5*p. Is k greater than -210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-9))\/((-2)\/45). Let y = v + -32. Let k = 20 + y. Solve -k*h + 0*h = 4*l, h + l + 1 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-18)*10*3. Suppose -y = 5*g + 9 + p, 0 = g - 2*y - 6. What is the units digit of 8\/3 + g\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 35*a. Let x(m) = 2*m**2 + 10. Suppose -j = -3*o - 6, -3*j + 5*j + 12 = -2*o. Let s(l) = -l**2 - 6. Let t(h) = j*x(h) - 5*s(h). Determine t(r(n)).\nAnswer: -1225*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4373781 and -13.\nAnswer: 56859153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) -3\/17 (b) -2\/9 (c) 2\/5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 19 + -1 + 20 + -41 + 11 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(135\/(-10)))\/((-4)\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1059, -527, 351, 1569, 3121, 5001, 7203, 9721?\n\"Answer: -c**3 + 179*c**2 + 2*c - 1239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7258, -14430, -21602?\n\"Answer: -7172*g - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 1733 = -4*d + 5255, -2 = 2*y. Let i be 2*1*(d\/(-184) + 5). Which is bigger: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 + 3 + 50343*w.\nAnswer: 50343*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*i - 7*i**5 - 9*i + (2*i**4 - 2*i**4 - i**4)*(3 - i - 3) + (2*i - 2*i + i**2)*(i**2 - i**2 + i**3).\nAnswer: -5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -9 + -3 + -14 - (-1 - 1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -679033 and -678885 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibigggii. What is prob of picking 4 i?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -11895688.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 436 and 632.\nAnswer: 68888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 6) to base 9\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2681*n + 23967*n - 2454*n.\nAnswer: 18832*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174 + -25.\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10069 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1442 and 0.5.\nAnswer: 0.0721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-90461)\/129230 + 367\/10\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, i: 2}. What is prob of sequence jjjj?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 10, j: 10}. What is prob of sequence kkj?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-12))\/(215\/387).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) - 4*(sqrt(1377) + 1))**2 + -4)*6.\nAnswer: 1296*sqrt(17) + 74430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1966592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*d*d*d**1*d))\/d**(1\/2))\/(d**(-2\/7)*d)**(3\/2) assuming d is positive.\nAnswer: d**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2113911 and 9558?\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.011 - -20.011. Let g = p - 15. Let l = -0.43 + -0.07. Which is the biggest value? (a) 3 (b) l (c) g (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171336 a multiple of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14272?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300851 is divided by 822?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -359*d**5\/5 + 938*d**3\/3 + 1744. Find the third derivative of x(n) wrt n.\nAnswer: -8616*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/270*(-121356)\/(-13484)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 9*n - 63. Calculate c(-31).\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000508492188 to 6 decimal places.\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-96)\/56)\/((-1)\/7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-154)\/(-14))\/11*20.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*c + c + 0*c)*(-1 + 11 + 0)*(5 - 5 + 3) in the form p*c + m and give p.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wo when two letters picked without replacement from wrrofrooorwfgrotro.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k - 3*k - 2*k**2)*((-2 + 4 - 1)*(2 + 2 - 2) - 2 - 4 + 4 + 5 - 3 + 1)*(-2 + 4 - 3) in the form o*k**2 + t*k + l and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 76600 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 3067817 and 3067815 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 277\/8 or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**4 - 33*f**3 - 2583*f**2 + 41012*f - 5. Let t(q) = q**4 + q + 5. Let l(p) = -b(p) - t(p). Suppose l(u) = 0. What is u?\nAnswer: -31, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*sqrt(192)*3.\nAnswer: 5 + 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -80 + 122. Let r be (-12)\/42 - 172\/(-14). Suppose r*d - 13*d = -6. Calculate the greatest common divisor of d and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-5) + 44\/110. Let l(u) be the second derivative of y + 1\/2*u**3 + 0*u**2 - 1\/20*u**5 + u + 0*u**4. Find the second derivative of l(v) wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.9 - -2.2. What is the closest to -0.1 in 1\/9, 1, t?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6240.397ms?\nAnswer: 6240397000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 885637917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18 - 3*s**4 + 3*s**2 - 18.\nAnswer: -3*s**2*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2211022 (base 3) to base 13.\nAnswer: -c26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 - 7*i - 2. Let s be j(9). Let n = 197\/2 - s. Solve n*a**3 + 0 + 3*a**2 + 0*a = 0 for a.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9 + -3)*(-69)\/63 - 9\/(-21). Do o and 13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1 + 1. Let g = -2006 - -2003. Which is the second smallest value? (a) g (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*f - 115*f + 70 = 0 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 y when four letters picked without replacement from {y: 3, d: 15}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(2 + -8)*-5. Suppose g = 4*q + q. Find the third derivative of 3*t**2 - 6*t**2 + 2*t**q + 2*t**2 wrt t.\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -k + 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (26\/(-3))\/(8\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.36 - 0.314. Let w = 5.946 - c. Let t = w + -6. What is the second smallest value in t, -1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -0.2 (c) -0.09 (d) 33 (e) -2 (f) 1\/2 (g) 0.4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -1)*(-3 + -16). Let k(r) = 17*r**2 + f*r**2 - 29*r**2. Is 4 a factor of k(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6608?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(36) + (sqrt(900) - sqrt(36)))\/sqrt(6))\/(-1*sqrt(363) + sqrt(3)) - ((sqrt(24)\/(sqrt(36)\/sqrt(3)) - (1 + sqrt(98))) + -4))**2.\nAnswer: 55*sqrt(2) + 171\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 0.25\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 2*l - 15. Give k(41).\nAnswer: -1614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2 + 3290718*g - 2707206238881 = 0. What is g?\nAnswer: 1645359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -149 - -154. Solve -5*x - 45 = 2*i + 3*i, k*x = 5*i - 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-7)\/(-1) - 33*10\/(-12) and -11\/138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckll when four letters picked without replacement from xklxxilkcllclxxxyl?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*a**3*q**2 + 2*a**3 - 4*a**2*q**4 - 33*q wrt q?\nAnswer: -12*a**3 - 48*a**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**3 - 4*c**2 - 6*c - 6. Let y(g) = 8*g**3 - 11*g**2 - 17*g - 17. Give -4*y(s) + 11*z(s).\nAnswer: s**3 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 8*g**2 - 4. Let p be f(2). Suppose -3*o - p = -k, k - 4*o = -3*o + 24. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130 and 104?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3641182ml to litres.\nAnswer: 0.0003641182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 1 + 1)*(4*o - 2*o + 0*o) - 9*o**2 - 4*o**2 + 12*o**2 + (o - 3*o + 3*o)*(3*o - o + 0*o) + o**2 + 0*o**2 - 3*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -64, -61, -58, -55, -52?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 2)*(0 + 0 - 3)*(-16*c + 19*c + 26*c).\nAnswer: -261*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggdgytygddgntdnqygty. What is prob of sequence dy?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59265*d**3*g - 18*d**3 + 3876*d**2 - 8*d*g - 31*d wrt d.\nAnswer: -355590*g - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 10*o**3 + 9*o**2 + 7*o + 13. What is the hundreds digit of z(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, z: 1, o: 2, s: 8}. What is prob of picking 4 s?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z - 6. Calculate g(-9).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 1\/4 (b) -0.1 (c) 0.3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 + 31 = 2*l. Let p = 38 - l. Suppose r = -2*r - d + p, 0 = 2*d - 6. Is r a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 848 is divided by 62?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a**2 - 23 + 26 - 3*a - 3*a**2. Let o be r(3). Solve -6*h**2 + 6*h**3 + 6*h**o + 16*h**2 + 3*h**3 + 5*h**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p - 74. Determine x(20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 - (1 + (6 - (1 + 20)))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 3 - (-15 - -5 - -5) - -9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/90 and 17\/300.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*g - 48*g = 444 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 606 (base 9) to base 10\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2. Suppose -5*q = -2*d + 37, -3*d - 2*q + 3 + 5 = 0. Let x(v) = -d*v + 9*v + 8*v. Determine k(x(p)).\nAnswer: 242*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2892107281 rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -77*z - 71*z + 35*z. Is g(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 643 at most as big as 736?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18905.979854 - 18906. Round b to 4 dps.\nAnswer: -0.0201","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.5 (b) -0.59458 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z**3 - 8*z**3 + 7*z**3)*(-327 + 316 + 7*z - z).\nAnswer: 36*z**4 - 66*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 24. Let k(h) = h + 24. Let q(n) = 2*k(n) - 3*t(n). Let w be q(-19). Put w, 5, -43 in decreasing order.\nAnswer: 5, w, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -293 - r**2 + 2*r**4 + 150 + 148 - 2*r as u*r**4 + b + p*r**2 + z*r + y*r**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(64)\/sqrt(128).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -799 + 229. Let r = 605 + f. What is the remainder when r is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/9308618 and 75\/65160326?\nAnswer: 65160326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6170 divided by 1234?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2054, -4123, -6192, -8261?\n\"Answer: -2069*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-6) + (-16)\/(-6). Let m be f\/((-8)\/124)*-9. Let p = -11 + 42. Calculate the greatest common factor of m and p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**2 + h - 4. Let n be r(-4). Let s(x) = -2*x**3 + 5*x**2 - 19*x + 73. Let a be s(4). Let f = a + n. Let l(b) = 3*b. What is l(f)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + v = 24, -f - 5*v = 6 + 6. Let o = f - -35. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 36 = 3*v. Let l = 6 + -1. Let h(i) = 3*i + i**2 + 0*i + 4*i + l. Calculate h(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*c - 52843354, 0*c - 2*c - 5*x = -26421686. Let b = -42484786 + 71395624. Let v = c - b. What is v rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -111.36849 and 0.4.\nAnswer: -110.96849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 3, 0 in decreasing order.\nAnswer: 20, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6432 is divided by 195?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -194 + 344. Let k = 11 + -7. Suppose 2*w - o = 61, k = -5*w - 4*o + g. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 8:48 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25052*v**5 + 2*v**4 + 6*v**3 + 119562*v**2 + 2*v.\nAnswer: 1503120*v**2 + 48*v + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -153*t + 90 - 52*t**2 - 107 - 197. What is the first derivative of n(p) wrt p?\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2 = 32. Suppose p - k = -1. Solve -p*r + 2*r + 5*f = -18, 5*f + 16 = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 614666012 to the power of 1\/4, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 6. Let j(g) = -g**2 - 12*g - 16. Let f be j(-11). Let k be 2\/f + 104\/10. Let t be p(k). What is the second smallest value in -1, t, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104014443 (base 5) to base 16.\nAnswer: 6eee5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + j**2 + 8*j - 12. Let b be t(3). Let g be (-230)\/(-35) - b*3\/42. Suppose -2368000 = g*d + d. What is d rounded to the nearest 10000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -3 (c) 0.1 (d) 5 (e) 239074\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 596777\/35628 - 2\/8907. What is the common denominator of o and -69\/86?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**3 - 12*y**2 + 12*y + 10. What is v(7)?\nAnswer: 878","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135394?\nAnswer: 2, 7, 19, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/135*3)\/((-18)\/(-297)*11).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 1016*v - 8009. Suppose -2*s + 3*s = 5. Suppose 63 = 4*l - s*h, 57 = 4*l - 3*h - 0. What is the remainder when m(8) is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 676 and 9295?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -25. Let g(f) = -f**2 - 8*f + 23. Let t be g(x). Solve t*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 7:05 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1962 + 1861. Do -599\/6 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*d + d + 3*d + (1 + 0 - 2)*(-d - 1 + 1) + 0*d + 0*d + 2*d + 2*d - 2*d - 3*d + (-3 + 3 - d)*(0 + 2 + 0) - d + 0*d - d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26885?\nAnswer: 5, 19, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**3 - 10*p**2 + 485*p. Let t(j) = -2*j**3 + 8*j**2 - 487*j. Give 4*m(v) + 5*t(v).\nAnswer: -2*v**3 - 495*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -232\/3 - -4396\/57. Which is the closest to 1? (a) z (b) -0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 11*l - 35. What is the least common multiple of g(5) and 45?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1342213 (base 5) to base 11.\nAnswer: 19990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1954027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 5*k**4\/8 + 48277*k**3\/8 + 46060575*k**2\/4 - 15438427268*k - 6177212944 = 0?\nAnswer: -5272, -2\/5, 889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (175*m - 100 - 103*m - 77*m)*(m + 2 - 2) to the form x*m**2 + k + g*m and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/6)\/((-3245)\/(-236))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -21*s**2 - 8*s - 7. Let x(w) = 4*w**2 + 2*w + 1. What is -2*o(m) - 11*x(m)?\nAnswer: -2*m**2 - 6*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*j + 872 - 834 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 877668, 877620, 877572, 877524, 877476?\nAnswer: 877428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -480, -5, 2 in decreasing order.\nAnswer: 2, -5, -480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -154, -203, -252, -301, -350?\n\"Answer: -49*t - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 7*z**2 - 6*z + 2. Let w be (-4 - -2)\/((-1)\/3). Let i be h(w). Suppose 4*o = -2*n + 10, 6 = 5*o + i*n - 5. Sort -1, 0, o in ascending order.\nAnswer: -1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -339.9 - -340. Put 0.2, -0.06, c, -1\/6 in decreasing order.\nAnswer: 0.2, c, -0.06, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -630 divided by 10?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7478600933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.635 - -13.685. Let k = l + -13. Let r = -6 - -5.6. Put k, 1\/5, r in decreasing order.\nAnswer: 1\/5, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*a - a. Suppose a*v - j - 15 = -4, -4*v + 23 = -5*j. Solve x - 6 = -v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 g when three letters picked without replacement from fqgqggqfgg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 711*k**3 + 3644 - 3644 - 657*k**3.\nAnswer: 54*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 985038 and 24625950?\nAnswer: 24625950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 - -107. List the prime factors of t.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 121365 - -95?\nAnswer: 12144a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -21 + 4 + 6*q + q**3 - 5034*q**2 - 5038*q**2 + 10080*q**2. What is i(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**3 - 3*c**2 - 8. Let d = 1722 + -1719. Let j(m) = -m**2. Give d*j(t) - a(t).\nAnswer: -2*t**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 12) + 4 + (2 - -4) - 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -75*o*p**2 - o + 7*p**2 - 17*p wrt o?\nAnswer: -75*p**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.916 plus -2?\nAnswer: 5.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 62*f**2 - 187*f - 59. List the prime factors of o(-61).\nAnswer: 29, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3291333, -6582631, -9873927, -13165221, -16456513?\n\"Answer: s**2 - 3291301*s - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3\/4 + 332415*f**2\/2 + 6648225*f\/4 + 4155125 = 0. Calculate f.\nAnswer: -664820, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p**(1\/2)*p))*p)**(-48) assuming p is positive.\nAnswer: p**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand x - x + 2*x**3 + (1 - 1 - x)*(-x - 2*x**2 + x) + (-3*x**2 + 5*x**2 - 3*x**2)*(-62 + 64 - 735*x - 9*x).\nAnswer: 748*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -425.\nAnswer: -424.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 13*x - 270. Determine y(21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1) + (-1 - (-3 + 4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 257, -4, -0.1, -5, 5, 10\/9.\nAnswer: -5, -4, -0.1, 10\/9, 5, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -197*d**2 + 29*d**6 + 49*d**6 + 6*d**5 - 70*d**6 wrt d.\nAnswer: 960*d**3 + 360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3533 + 3958. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29980.\nAnswer: 2, 5, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/((u\/u**(-3))\/u*u))*(u\/(u*u**(-3\/2)))\/u)**(-12\/11)*((u*u\/((u**1*u*u)\/u))**(-29))**4 assuming u is positive.\nAnswer: u**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 884866753.\nAnswer: 8297, 106649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -15*i - 6. Does 4 divide w(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3385\/10067 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -336, -3084, -10986, -26760, -53124, -92796?\nAnswer: -148494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand k + 16*k - 9*k + (-1 + 1 + 1)*(-4*k + 3*k - k) + 0*k - 2*k + 0*k + k + 0*k - 2*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 18*p - 221 = 0. Calculate the smallest common multiple of p and 5.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*m - 14*m + 2. Is m less than or equal to -4\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 62, 72, 86, 104, 126?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/1*21\/84*1.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*h, -5*n + h = 65 + 77. Is 7539\/9 + n\/(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 - 869183508.\nAnswer: -869183508.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -49*h**2 - 17*h + 30. Let l(y) = -47*y**2 - 16*y + 40. Let m(p) = -4*f(p) + 3*l(p). Let s(z) = -z**2. Give m(s(i)).\nAnswer: 55*i**4 - 20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/102146559 or 0?\nAnswer: 4\/102146559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/4*(17385\/535275 - (-2)\/(-26)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 s, and 1 v when four letters picked without replacement from veeesvzvvee?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.6 and -40.\nAnswer: -40.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 12:31 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2*j + 2)*(0 + 0 + 7 + (-2 - 1 - 1)*(4 - 5 + 2))*(-3*j**3 + 7*j**3 + j**3) in the form u + w*j**2 + r*j**4 + d*j + f*j**3 and give r.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - p = 20. Suppose -4*l = -4 - p. Let n(x) = -x**3 + 6*x**2 - 5*x. Let c be n(5). Solve -2*g - l*g + 4 = c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1750*i + 19*i**2 - 860*i - 882*i + 940*i**5 wrt i?\nAnswer: 56400*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfexrmfjmffr. Give prob of sequence ex.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - -0.4. Let j = -0.23 + -0.77. Let f = 3013 - 3012. Put s, j, f in decreasing order.\nAnswer: f, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 8*q**2 - 10*q - 2. Let l be v(-7). Suppose -6*u - 4*x + 28 = -2*u, -5*u - x = -l. Which is the nearest to -1? (a) -0.4 (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 143\/876 + 1\/292. Let y be (-15)\/36*(-3)\/(-10). Let k = 1\/8 - y. What is the third biggest value in -1, z, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 78 = 122. Let w be (-30)\/o - (-18)\/5. Suppose -5*j + 4*b + 88 + 180 = 0, -3*j + w*b = -159. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (6\/3 - 12). Let w(i) = -i**3 + 18*i**2 + 14*i + 4. Let o be w(n). Find the common denominator of 145\/6 and o\/27*6\/30.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74515 and 9210054.\nAnswer: 46050270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 1545.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 8:19 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 142651 + 1?\nAnswer: 142652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28ab4ab - -1?\nAnswer: -28ab4aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 44242, 44565, 44888, 45211, 45534, 45857?\n\"Answer: 323*o + 43919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 46642945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5*o + 2*o - 15, -5*o + 12 = 4*b. Suppose 12 = k + b*k. Solve 2*l - k*j = -13, -2*l + j - 7 = -0*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 732545450387.\nAnswer: 732545450390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36017 - 17111 = -4*x. What are the prime factors of x?\nAnswer: 2, 29, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (70 + -195 + 61)\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 6*j + 4. Let n be o(-6). Suppose n*x = -0*x + 68. Find the first derivative of -17*w**3 - 5*w**4 + x*w**3 - 6 wrt w.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y + 4. Let n be b(3). Let i = n + 5. Suppose d = i*d - 4. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fshxhsffxsf. Give prob of sequence fhxh.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35213 + -1434?\nAnswer: -41051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 10*o - 17. Let b be f(-7). Let d be 4\/3*24\/8. Suppose -3*k - b = -d*k. Solve -k*q + 4 - 8 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -236*b. Let z(f) = 2*f**2 + 10. What is z(w(g))?\nAnswer: 111392*g**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 1 + 11 - 2. Let h = d - 6. Suppose g + 16 = h*g. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 11 = -4*i, 6*i - 19 = i - 2*k. Factor -a**4 - 2*a - 2*a**2 + 2*a**3 + 0*a**2 - 2*a**4 + i*a**4.\nAnswer: 2*a*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7*5\/(-140) + 102\/8. Let o = i - -24. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9840 by -205.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 918*v + 502 + 362 = 942*v for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 2*o - 1. Let t be r(2). Solve -4*m = -5*f - 41, 3*f = t*f + 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 3*c**2 + 9*c + 6. Let h be 465\/(-2325) - 48\/10. Give t(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 70?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54.31411 + 0.11589. What is y rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 4*s**2 - 12*s - 93. Calculate d(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 105739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 - 1194*v**2.\nAnswer: 3*v**2*(v - 398)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*k + 17, -r - 6*k = -2*k + 22. Let w be 21\/(r*1\/(-2)). List the prime factors of (-1)\/(-2 + w\/11).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -2*n - 5*t + 7, 0 = 2*n - 5*t + 16 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1249 + 660 - 1190 - 1055 + 8)*(-2*z + z - z).\nAnswer: 5652*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/35 - (-68)\/(-30). Which is greater: t or -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37 or 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a - 35. Determine r(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 7 - -1 - -10 - -8) + -1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 15 = o. Let x(k) = 2*k**2 - 51*k - 23. Let s be x(26). Suppose -s*i + o + 16 = 2*c, -23 = -3*c + 4*i. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2 + 0 = -r, 0 = -3*v - 6. Let l be r + 22 - 1\/1. Let c be (l\/6 - 3)*8. Solve c*w = -w - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -15.9. Let a = m - -0.4. Let t = -0.19 + 0.2. What is the nearest to t in -3, a, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14919460.\nAnswer: 2, 5, 745973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*f - 35*f = 1969877. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.395, 0.3, -2\/9 in decreasing order.\nAnswer: 0.3, -2\/9, -0.395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-278)\/(-139))\/(1\/52). Calculate the highest common factor of j and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -118, -121, -124, -127, -130, -133?\n\"Answer: -3*q - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 5157.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**3*t)\/t*t)**(6\/11)\/(t**(-2\/5))**(-1\/3) assuming t is positive.\nAnswer: t**(-2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gx when two letters picked without replacement from xxpxgetsptgppteetttx?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35\/57 + 1411\/627. Let k = 2372422 - 23701039\/10. Let s = k - 2313. What is the common denominator of j and s?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 12 - (-6 + (-6 - (12 - 7))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1278\/(-1065)*240\/168?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000328727885 to 7 decimal places.\nAnswer: -0.0003287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 412 and 1568.\nAnswer: 161504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -627579799*d**5 + 528936193*d**2 wrt d.\nAnswer: -37654787940*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 32 = -2*k, -2*k + 28 = -16*z + 11*z. Which is greater: z or -21\/4?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22485699 and -7.063.\nAnswer: -22485706.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/338875 + -30823399\/1606945250. What is the common denominator of -17\/6 and z?\nAnswer: 14226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63511?\nAnswer: 7, 43, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -7*v**6\/40 - 361*v**5\/20 - 572*v**4 + 1014*v**3 - 4*v**2 - 44. Factor x(f).\nAnswer: -3*(f + 26)**2*(7*f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 2*k**2 - k**2)*(-17*k + 18*k + 2 - 16*k).\nAnswer: 15*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 0*i**2 + 4\/3*i**3 + 0 + 32*i. Let w(o) = -2*o**2. Give r(w(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 10. What is the units digit of g(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) 0.4 (c) 5 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -388, -4, 3, 22674 in ascending order.\nAnswer: -388, -4, 3, 22674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*n + 16*n - 2*n**2)*(-n - 2*n + 5*n).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 1:24 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 0*c**2 + 4*c**2 - 6*c**2 + 9*c - 11*c - 3. Give a(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 12, -2, 576 in ascending order.\nAnswer: -2, -1, 12, 576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -9*u + 32782. Let j(a) = -13*a**2 + 4. Give g(j(y)).\nAnswer: 117*y**2 + 32746","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15 + -12)\/(-3*(-3)\/2). Let j be (-8 - (-84)\/8)*(-40)\/225. Is j at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -61012313.\nAnswer: -61012313.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 715 is divided by 183?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58528444 is divided by 85?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 2 + 3)*(0*x + 3*x - 4*x) + (-2 + 0 + 3)*(-2089*x - 285433 + 285433) + 4 - 4 - 3*x in the form s*x + w and give s.\nAnswer: -2091","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/17, 14, -5, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 23*p + 86. Let h be y(5). Calculate the remainder when (-948)\/h - (-78)\/(-13) is divided by 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -221, -12, 10 in decreasing order.\nAnswer: 10, 3, -12, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 4*h - 26. Sort 0, -2\/9, 0.5, h in descending order.\nAnswer: h, 0.5, 0, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + (1 - (0 - -3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/((2*sqrt(36))\/sqrt(3)))\/(sqrt(400)*-2*-6)*-1*-2.\nAnswer: sqrt(2)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2776, -5672, -8612, -11584, -14576, -17576, -20572?\nAnswer: -23552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1744490)\/44 + 0 + 11)*-2?\nAnswer: 79273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18134 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110121 - 110110?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 10) in base 11?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*a + 4*a - 3*a)*(2 - 1 + 0) + a + 3*a - 5*a + 2*a + 4*a - 5*a - 6*a + 2*a + 2*a)*(-14 - 6*a + 4*a + 2).\nAnswer: 6*a**2 + 36*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*n + 24. Let t(w) = -15*w + 6. Is 11 a factor of t(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 155 + -152. Suppose -2*f + 3*f - a = 0. Solve -f*z = d + 3, 3*z - 2*d - 9 = d for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 66656230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*d + 26*d - 7 - 63*d + (4*d - 5*d - 2*d)*(1 + 3 - 3) to the form l*d + y and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) -2\/7 (c) 2 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 8:23 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70 - 347\/5. Let k be (-1000)\/(-80) + 4 + -4*4. Which is the second smallest value? (a) u (b) 2 (c) k (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4050) - (sqrt(4050) + sqrt(4050)*-3 + sqrt(4050))*-1) + 3 + -1 + 4)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i - 4*i - i)*(21*i + 8*i + 3 - 7*i).\nAnswer: 22*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01 - -0.41. Let a = 41\/12 + -11\/4. Let t = -21308 + 21307. What is the closest to 0 in a, t, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/99 + (-24 - 1169700\/(-48840))?\nAnswer: 3\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*l + 2398*l + 17769 = -47656 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 7*i**2 - 10*i - 6. Determine y(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l**(-5)\/l)*l)**(-2\/37) assuming l is positive.\nAnswer: l**(-18\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 15 = 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2595 less than or equal to -2629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 11. Let y(t) = 8*t**2 + 2. Let p(x) = 15*x**2 + 3. Let v(g) = r*y(g) + 3*p(g). Let s be v(2). What is the highest common divisor of s and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4599 - 18395\/4. Sort -26, y, 1\/6, 0.3, 8 in increasing order.\nAnswer: -26, 1\/6, y, 0.3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s + 16 = 0. Let m = 9 - 6. Find the third derivative of -2*f**m - s*f**2 + 5*f**2 - f**2 wrt f.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273392 is divided by 68317?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52944?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.87 - 1.37. Which is the second smallest value? (a) -0.1 (b) 0.14 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 10*p - 22. Give b(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.9397 millimeters to nanometers.\nAnswer: 49939700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2697 and 221.\nAnswer: 596037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/4, -4, -0.2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62265, 62745, 63225, 63705, 64185?\nAnswer: 64665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.2 (b) -5 (c) 2\/79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + -1 + sqrt(78)\/(sqrt(18)\/sqrt(3) + sqrt(6) + sqrt(6)))*3.\nAnswer: -3 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78 + 166. Suppose 4*x = 5*s + 52, 4*s - 3*s = x - 14. Calculate the remainder when r is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0641 * -1.\nAnswer: -0.0641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 29*s - 3. Let j be h(19). Let z(l) = j + 3*l**2 - 2*l**2 + 2*l + 0*l - 4*l. Is z(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 0*y - 11724. Let u = y - 1266. Is 43 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1471004*n + 218219*n + 1217004*n.\nAnswer: 2906227*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 - -851a7?\nAnswer: 85209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -1\/21*u**6 + 0*u + 29 + 0*u**2 - 2\/35*u**5 + 2\/21*u**3 + 1\/14*u**4. Factor g(p).\nAnswer: -2*p**2*(p - 1)*(p + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70 + -33. Let f = o + 175. List the prime factors of (-4)\/(f\/(-3614)) + 2\/9.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/220 in 1, -0.035, -4?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + o + 5136, -5*t + 3*o - 2257 + 10821 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1281 - 720. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 15*q**3 + 2*q**2 + 4*q + 1. Let t be o(-3). Let l = 21 - t. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 926.08 - 934. Let h = -20.92 - j. Do 0.07 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4023342ng in tonnes?\nAnswer: 0.0000000000000004023342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5*h - 1)*(-476*h + 424*h + 2 + 437*h).\nAnswer: -1925*h**2 - 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*l**2 + 0 + 4*l**3 + 7 - 7 wrt l.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from elpmpepaplplp. What is prob of sequence eea?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43290 - -42925.049. Let r = 365 + j. What is r rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 16 + 82*b - 34 - 30*b as s*b + o and give o.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q - 72*q**3 - 5 + 48*q**4 + 2 + 27*q**2 + 3 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -55936695 and 20.863?\nAnswer: 55936715.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2676991 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 688 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 8:47 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fcf when three letters picked without replacement from kcxffkcpkccxkxxx.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30*v**3 - 35535*v**2 + v + 137253324?\nAnswer: -90*v**2 - 71070*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 53*o**2 - 6*o + 1209. Give g(0).\nAnswer: 1209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 23*a**2 - 20*a - 5. Let j(o) = 24*o**2 - 18*o - 7. Calculate -3*j(g) + 4*x(g).\nAnswer: 20*g**2 - 26*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 0) + (-3 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 678 and 27.\nAnswer: 6102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3 + 10 = 0. Let j = 35 - h. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 5*i - 95 = -5*g, 4*g - 5*i = 31. Suppose 40 = g*m - 6*m. Put m, 0, -7 in ascending order.\nAnswer: -7, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280\/361 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -7*x - 3. Let a = -6 + 4. Let d be j(a). What is the highest common divisor of d and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2635 (base 14) in base 11?\nAnswer: -5051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 10 = 0, 2*k = -0*o - 5*o - 393000010. Round o to the nearest 1000000.\nAnswer: -79000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 574383 + -3?\nAnswer: 574380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from {v: 9, a: 10}.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*f + 261678 + 244*f - 261678.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 4) in base 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) - (0 + sqrt(700)))*-4*-5 + (sqrt(700) + -1 + -2 - ((sqrt(700) + -1)**2 + 0)).\nAnswer: -704 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -173*p**8\/336 + 11*p**5\/5 + 7*p**2 - 5. Find the third derivative of l(s) wrt s.\nAnswer: -10380*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125375619 divided by 1.\nAnswer: 125375619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 699118968 to the power of 1\/3, to the nearest integer?\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-1 + 0 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008894678 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -5 (b) 2027 (c) 38 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 3. Let h = 19 + r. What is the greatest common divisor of h and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6509\/(-2)*68 + 6. Round g to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 17. Let k be n(20). Let c = -162011\/16 - -10132. Find the common denominator of c and k*(-6 - 1135\/(-90)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/3*(0 - -9). Suppose 0*q = -c*q - 72. Let h = q + 30. Solve -m + h*m - 28 = 2*r, -r + 5*m = 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17246059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4751509, 4751537, 4751567, 4751599, 4751633, 4751669?\n\"Answer: h**2 + 25*h + 4751483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 71752 (b) -0.19 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = i + 5 + 1, 0 = 2*i - z - 2. Let q = -0.07 - -0.37. Which is the nearest to -2\/3? (a) -0.4 (b) q (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000001516841 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0742431141 rounded to four decimal places?\nAnswer: -0.0742","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -50, -86, -142, -224, -338?\nAnswer: -490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(17))**2 + 3 + sqrt(17) - sqrt(17)) + sqrt(153)\/((sqrt(9) - (sqrt(729) + sqrt(9))) + sqrt(9)).\nAnswer: -sqrt(17)\/8 + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + d + 1. Let b be j(-2). Let q(n) = n**2 + 7*n + 2. What is q(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -26. Let q be (6\/15)\/((-3)\/v). Solve 0 = s - 4*c + 13, 3*s + q*c = -2*s + 23 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -11*z**8\/4 + 23*z**4\/12 + 7*z**3\/3 - 2*z + 123. Find the third derivative of y(x) wrt x.\nAnswer: -18480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -111, 0.06129, 37?\nAnswer: 0.06129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10787 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: Divide -3008 by 33780.\nAnswer: -752\/8445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -16. Which is the smallest value? (a) 3 (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 160775009 to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29417058109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + g - 9, 1312*n + 11 = 2481*n - 1171*n + g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7137.37 - -938.43. Round k to the nearest 100.\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 3\/4*i**2 + 99\/2*i**3 - 99\/2*i + 0 - 3\/4*i**4 = 0.\nAnswer: -1, 0, 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from jnnjfjnjjnn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11149 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 265, 546, 827, 1102, 1365, 1610?\n\"Answer: -s**3 + 6*s**2 + 270*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (140\/210)\/(4\/(-54))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -70*m**2 - 2 + 31*m**2 - m + 1522*m**3 + 42*m**2. Is h(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -569*s - 2363*s**2 + 3 - 575*s - 3 + 1143*s to the form x*s + f + a*s**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -18*p + 964. Let o(b) = -19*b + 1093. Let a(v) = 7*c(v) - 6*o(v). Give a(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 3. Suppose -p + x*p = 50. Suppose -2*z + 15 = 3*z. What is the least common multiple of z and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 482 + -167. Let l = -155 + o. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**39\/(r*r*r**(32\/7)))**30 assuming r is positive.\nAnswer: r**(6810\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 741762*h**3 + 12466789062*h**2 - 81883696*h + 134456 = 0. Calculate h.\nAnswer: -16807, 2\/609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1.5 (b) -0.72 (c) 0.1 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.18 - 1.17999863. Round q to 7 decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w**2 - 2*w**2 + w**2)*(-66*w + 136 - 136) to the form l*w**3 + r*w + a + z*w**2 and give l.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 107899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.221 times -24225\nAnswer: -5353.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 9*x**2 + 17*x - 8. What is the remainder when r(-5) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1321814 and -8.578.\nAnswer: 1321805.422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32121504\/13 or 2470886?\nAnswer: 2470886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 12*s. Suppose -a = -x + 116, 4*a - 101 = 5*x - 676. Let n(g) = -111*g + 7*g**2 - 4*g**2 + x*g. Give r(n(c)).\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 440337, 440281, 440225, 440169?\nAnswer: 440113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1315, -0.084, 6.4 in decreasing order.\nAnswer: 1315, 6.4, -0.084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0 + (-1 - 2 + 4)*(-1 - 2 + 4) + 5 - 1 - 5 - 18 - 24 + 111)*(0 + 4 - 5 + v)*(-2 - 2*v + 2).\nAnswer: -134*v**2 + 134*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 11*x**2 - x + 13. Let s be l(11). Let q = -7 - -7.2. Sort s, 3\/7, q in decreasing order.\nAnswer: s, 3\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -737.1 - -831. Let g = -92 + a. Round g to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(2\/29)*p*p\/(p\/(p\/(p**(-17)*p)*p))*(p*p*p**(-11\/3)*p)\/p**20 assuming p is positive.\nAnswer: p**(-52\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -7*j**3 + 6*j - 15. Let u(r) be the first derivative of w(r). Let p(q) = 2*q**2. Determine u(p(n)).\nAnswer: -84*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4 + 2 - 1007*i**2 - 1327*i + 691*i**2 + 2 wrt i.\nAnswer: -632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 7:01 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 17, n: 3}. What is prob of sequence in?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -7393705, 1 in increasing order.\nAnswer: -7393705, -13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*w + 17, -3*w + 4 = 5*v + 18. Let z = -0.01 + -0.04. Let j = 0.05 - z. Which is bigger: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 5*c + 21. Determine r(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1873, -1952, -2031, -2110?\nAnswer: -2189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/(sqrt(175)*-4))\/(-5*-5*sqrt(64))*-1)**2.\nAnswer: 3\/4000000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v - 13*v - 9*v)*(-2 + 2*v + 2).\nAnswer: -56*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(136)*3*6 - 6*sqrt(136)*-2)\/((sqrt(96) + 2*sqrt(96)*-4)\/(sqrt(96)\/(sqrt(8) + sqrt(16)\/sqrt(2) - sqrt(8)))).\nAnswer: -30*sqrt(17)\/7 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**13*(i\/i**(-7\/4)*i)\/i assuming i is positive.\nAnswer: i**(67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -4*f**5\/5 - f**4\/3 + 2*f. Find the third derivative of d(m) wrt m.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = 3*g. Let u be (g\/2)\/(6\/(-168)). Find the third derivative of -u*y**2 + 4*y**2 - 6*y**4 + 2*y**2 + 2*y**2 wrt y.\nAnswer: -144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 797 (base 10) to base 14.\nAnswer: 40d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -64*z**3 + 4*z**2 + 112*z + 667. Is r(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r + 6*r + 21 = -3*k - 8*r, -34*k - 238 = r for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 182865\/292 + 2\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6*(-12)\/2. Let g(x) = x**3 - 6*x**2 + 3*x. Let w(t) = 7*t**2 - 4*t. Let n(h) = a*g(h) + 3*w(h). What is the third derivative of n(r) wrt r?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**2 + 0*s**2 + s**2 + (4 - 1 - 1)*(-s**2 + 5*s**2 - 3*s**2) - 51*s**2 + 19*s**2 - 97*s**2.\nAnswer: -128*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -53, -105, -155, -203?\n\"Answer: p**2 - 55*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 109 - 8. Calculate the remainder when a is divided by 38.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1408 is divided by 467.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 6:19 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50343123 is divided by 175?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t - 60 = -38*t. Solve 10 = -t*o - 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8*(-65)\/(-52) + -8. Suppose -t + 0 = 11. Let f = 15 + t. Solve -3*m = s*v - 4, 2*m = 2*v - f*v + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 3383609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) -0.1 (c) -2\/323 (d) 2\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in 1\/2, 2, -456?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - 6*(-2*sqrt(3) + sqrt(3)))**2 + (-2*sqrt(75) - sqrt(75)) - sqrt(15)\/((sqrt(30)\/sqrt(2))\/sqrt(3)))*3.\nAnswer: -48*sqrt(3) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42.85 + 31.189. Round h to 1 dp.\nAnswer: -11.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3833.7948 to the nearest 10.\nAnswer: 3830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -23*f**6\/15 - f**3\/3 - 79*f**2\/2 - 74*f. Find the first derivative of q(x) wrt x.\nAnswer: -184*x**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56 divided by 28\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 11*j - 5. Let m(d) = -6*d + 2. Let i(g) = -5*m(g) - 2*x(g). Let f = 4 + 0. Is 11 a factor of i(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 plus -0.27032?\nAnswer: 11.72968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -30*c + 812. Let g be t(0). Suppose 48*a - 41*a - g = 0. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10956353 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 241969637129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6698555 is divided by 1674637.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z. Let j(n) = -8873*n - 2052. Let i(m) = 1044*m + 243. Let c(t) = -76*i(t) - 9*j(t). What is c(h(l))?\nAnswer: -1026*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (-6 + 2 - -1). Which is the smallest value? (a) -1\/3 (b) 1\/2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {m: 3, g: 2, s: 4, q: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 66\/89, -3, 3\/5, -0.4, 1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-8))\/(2\/(-4)). Suppose -4*k + 5*l + 215 = 0, 4*l = 4*k - 0*l - 216. Let u = k - 55. Solve u*s - 9 = r*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112381456 and 36?\nAnswer: 1011433104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand k + 3*k + 2*k + (3 - 4 - 1)*(0*k + 2*k + 0*k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3725\/(-1937) + -1 + -11 - -14\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 64741, 64175, 63603, 63025, 62441?\n\"Answer: -3*r**2 - 557*r + 65301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -995, 0, 7, 245 in descending order.\nAnswer: 245, 7, 1, 0, -995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33026.\nAnswer: 2, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1336*p - 1276*p + 2661*p.\nAnswer: 49*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f - 22. Let z be a(12). Let j = -6 - z. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41804 times 0.1?\nAnswer: 4180.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -15 (b) 0.038 (c) -3\/7 (d) 318\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5 = 0, -5*k = -0*k + 4*n - 50. Let g(z) = z**3 - 6*z**2 + 3*z - 7. What is the units digit of g(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7*k - 5. Let t(c) = 8*c + 4. Calculate -5*t(f) - 6*w(f).\nAnswer: 2*f + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 3.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -549*l**2 + 0*l - 2*l + 2*l.\nAnswer: -549*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12576 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: Solve -4*u - 10 - 2 - 4 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/(-15))\/((-44)\/550). Suppose 2 - 6 = -4*i. Suppose 0 = s - 2 - i. Solve s*y + o = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**3 - 2*i**2 + i - 2. Let a be y(2). Suppose -3*d + a = -2*d. Is 8 equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*d - 3*w, 20 = 3*d - w + 7. Suppose 2*a = -5*o + 11 + 17, -d*a + o = -12. Solve 5*l + 19 + 10 = 2*z, a*z - 28 = 4*l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -414 - -104304?\nAnswer: 103340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 7)*(441\/14 + -30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 3 = -11. Let t(q) = 101451*q - 251007*q + z - 468777*q. Let d be t(-6). Round d to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360470 is divided by 401?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7931096 - -1928043?\nAnswer: -6003053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 217963295 to the power of 1\/2, to the nearest integer?\nAnswer: 14764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c - 20 = -13*c - 5*x, 0 = -4*c + 3*x + 14. Suppose d = c*q + 21, 0 = d - 17*q + 20*q + 3. Solve 7*w = -2*r + 3*w + 6, -d = 4*r + 2*w for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**4 - 2 + 5*c**2 - 2*c**4 - c**3 + 12*c**2 + 2*c - 18*c**2 to b*c**3 + h + u*c**4 + w*c + y*c**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-7)\/(-14))\/(1\/18). Let c = -40 - -45. What is the derivative of -r*w**2 - c*w**2 + 13 + 13*w**2 wrt w?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -7 + 1 + 32170 - (-7)\/(-3)*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 a when two letters picked without replacement from baababqqlbbzb.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -235 (base 8) to base 4.\nAnswer: -2131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**2\/7 - 894*u\/7 + 66603\/7 = 0. What is u?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 2*p - 5 + (-38 + 1151 + 1185)*(4*p + p - 4*p) to the form v + h*p and give h.\nAnswer: 2300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11773722 to the nearest integer?\nAnswer: 3431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 179436 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2084848 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-10)*((-80)\/224)\/((-27)\/36)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -6. Suppose u - m*r + 7 = 0, 0 = 5*u + 2*r - r - 28. Suppose -u*k = -k - 16. Solve 3*v - 4*j = -6*j + 15, k*j = -5*v + 27 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*c = -33*c + 15. Let a be c - (-1)\/(-2)*-6. Suppose -2\/9*x**4 + a - 2\/9*x**3 + 2\/9*x + 2\/9*x**2 = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**2 + 6432*m - 2585664 = 0.\nAnswer: 804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-294)\/(-15) - 4\/(-10). Let c be (-692)\/l - (-2)\/(-5). What is the units digit of c\/(-14) - (-3)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4884260220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*j - 5298, 3*j - 2*u - 5105 - 211 = 0. Is 188 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-7120)\/208 + 27\/117?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69 + -49. Suppose c = -4*p - 8. Let q = 19 + p. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1232423102 + -4?\nAnswer: -1232423111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*o - 3*o - 4*o + 4*o)*(75 - 5 - 5) to the form u + d*o and give d.\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000908 rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + (sqrt(20) - (sqrt(160)\/sqrt(72) + sqrt(20))))\/((sqrt(44) - (sqrt(132)\/sqrt(3) - sqrt(44)))\/sqrt(11)).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29285?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 406181*c - 2843249. Give t(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-1)*(-1 - 4\/(-3)). Which is the fourth biggest value? (a) -1\/3 (b) 0 (c) k (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqmp when four letters picked without replacement from {m: 2, q: 2, p: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -150, -3 in ascending order.\nAnswer: -150, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -73 != -69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**10\/30240 - g**9\/15120 - 3*g**4\/8 - 4*g**2. Let c(u) be the second derivative of d(u). Find t, given that c(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 69*w**2 + 21*w - 59. Let c(h) = 138*h**2 + 41*h - 120. Let a(p) = -5*b(p) + 3*c(p). What are the prime factors of a(4)?\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 1029*b**2 + 494*b + 508324. Give c(-1029).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 4*l + 1. Calculate q(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 263196 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/5 of a hour?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**2\/7 - 90018*x\/7 - 12860 = 0.\nAnswer: -1, 45010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6260, -6274, -6288?\n\"Answer: -14*g - 6246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92 + -84. Suppose 0 = 2*v - u - 178, 4*v - j*u - 350 = -3*u. What is the greatest common divisor of 30 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (-1)\/((-4)\/(-6)). Let u be 12\/9 - (-10)\/15. Suppose 4*j + 0*j - c + 4 = 0, u*j - 4*c + 16 = 0. Does a = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.47 + -0.53. Which is the biggest value? (a) -0.02 (b) g (c) 0.2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) -3\/16 (c) 1 (d) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207810 is divided by 93.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -7*o + 9. Let q(b) = 13*b - 18. Let w(h) = 11*g(h) + 6*q(h). List the prime factors of w(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1320420, 2640842, 3961264, 5281686, 6602108?\n\"Answer: 1320422*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.5 - 0.5. Which is the second smallest value? (a) -2\/5 (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18886, 37772, 56654, 75532, 94406, 113276, 132142?\n\"Answer: -2*w**2 + 18892*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (18 + -25)) + (-4 - 36).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 62 (c) 5 (d) 0.16 (e) 1 (f) 0.6 (g) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1989 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 104*s. Let j be 1\/4*-1*-52. Let t = 17 - j. Solve s = -5*n - 29 + t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3441, 8588, 13735, 18882, 24029, 29176?\n\"Answer: 5147*p - 1706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 + 4*l + 22*l + 0*l**2 + 3*l**2 to the form t + k*l**2 + b*l and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 70042, 280246, 630584, 1121050, 1751638, 2522342, 3433156, 4484074?\n\"Answer: -h**3 + 70073*h**2 - 8*h - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 107419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -12. Solve 3*p + 0*p = n for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 16 - 36 = 0. Suppose 132 + 440 = 4*y. What is the greatest common divisor of y and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 - -30) + 11 - 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 7*d. Let o be k(5). Let w = o + -7. Let h = 3.13 - 3.23. What is the nearest to 1\/6 in 4, h, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**3 - 8 + 8 + 17*k to the form g*k + q + f*k**2 + w*k**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (188 + 182 - 1729*t - 370)*(2 + t - 2).\nAnswer: -1729*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -622935, 1.\nAnswer: -622935, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 12:53 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 9 = -3*u, 10*i - 3*u = 14*i + 6. What is y in -2\/3*y**i + 34\/9*y**2 - 44\/9*y + 16\/9 = 0?\nAnswer: 2\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 5 = 2*m - 4, 41*g - 5*m = 42*g + 11 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (1\/(-4))\/(1\/(-8)). Solve -x*a - 6 - 4 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/4 + 33\/6. Let f(j) = 3*j - s - 7 + 0 - 2*j. Calculate f(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 56*c**2 + 3. Let x(l) = -2*l**2. What is x(i(u))?\nAnswer: -6272*u**4 - 672*u**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*y - 9, 0 = -2*g - 3*y + 17. Suppose 0*r - g*r + 91 = 0. What is the second derivative of 20*f**2 - 31*f - 19*f**2 - 10*f**2 + r*f wrt f?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**7\/1680 - 13*i**5\/240 + i**4\/4 + 44*i**3\/3 + 84. Let q(x) be the third derivative of l(x). Factor q(r).\nAnswer: (r - 3)*(r - 1)*(r + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*y - 28 = 37*y. Calculate the remainder when (0 + -176)*(y - 7)\/(-7) is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1032 and 456857112?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 0 - 3)*(t**2 + 9 - 9)*(4 - 4 - 1) to the form u + h*t + v*t**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 2.01?\nAnswer: 1.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -2*r + 3*v - 8, -r + 26 = -5*v. Solve 2*o + r + 7 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9511*z - 23261*z - 20327*z to the form j + l*z and give l.\nAnswer: -34077","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31044, -61866, -92740, -123672, -154668, -185734, -216876, -248100?\nAnswer: -279412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*c = 330, -4*c - 29 = -u + 81. Let l(t) = 7*t**3 + t**2 + 1. Let w be l(-2). Let o = w + u. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -404*b + 6504. What is j(16)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 + 1267*u**2 + 0*u**3 - 2531*u**2 + 1271*u**2 + u**3.\nAnswer: 3*u**3 + 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 10:33 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 6*q**2 - 3*q - 6. Let c be p(5). Suppose 23670*w - 23652*w = -54. Sort c, w, 7, 3.\nAnswer: w, 3, c, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 3:45 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(77) + 4*sqrt(77) + sqrt(77))\/sqrt(7))*3.\nAnswer: 15 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 14350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a + 3. Suppose -4*q + 5*c + 36 = 10, -2*c = q. Let r be w(q). Let p = r - -10. Solve p = 5*n - 16 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (-8 - -21) - -6) + 11 - (-5 - 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Convert 626 (base 14) to base 2.\nAnswer: 10010111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 1388614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/5*4\/(-6). Let s = 0.151 + -1.212. Let d = s + 0.061. Which is the closest to d? (a) h (b) -0.7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -1 - 3*q + 1 - 2. Let a(y) = y**3 - 7*y**2 + 7. Let x be a(7). Let j be (-96)\/56 + (-2)\/x. Let v(w) = -13*w - 8. Calculate j*v(r) + 9*h(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f**2 + 2*f. Let z be w(4). Suppose 0 = -73749*g + 73772*g - 5060. What is the highest common factor of z and g?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58586320 and 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1458002000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/2)\/((40\/90)\/(8\/36)). Suppose -b + 6 = -2*b. Let p = b - -11. Solve -2*o = 4*j - 3 - p, h = -5*j + 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 774, 2753, 5896, 10203?\n\"Answer: 582*y**2 + 233*y - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -17\/3, 38, -2, -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/1187 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -2 (c) 0 (d) 46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 3*i**2 - 5*i + 6. Let f be p(4). Sort -5, -1, f, -4 in descending order.\nAnswer: f, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -2\/9*n**3 + 100 - 13\/3*n + 9\/2*n**2. Factor v(l).\nAnswer: -(l - 13)*(2*l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 13*p**2 + 16*p + 23. Does 24 divide j(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (489\/6)\/(1\/4*2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 10*c + 8 = 0. Suppose -r + 21 = -6. Factor 3*t**2 + 12*t + r - 8*t + 14*t + 0*t**c.\nAnswer: 3*(t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -10. Let i be -1 - (12\/a - 22). Suppose 0 = -5*q + d + i - 4, d = -5. Solve -4*u + 5*m = -q*u - 20, -2*u = 2*m + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96172?\nAnswer: 2, 24043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**8\/6720 + o**7\/2520 + o**4\/8 + o**2. Let g(r) be the second derivative of u(r). Find the third derivative of g(m) wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**3 + 885*q**2 - 2676*q + 1788 = 0.\nAnswer: -298, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/2 - (-6 + 4)*(-6)\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004774416 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*o + 16185, 18*o = 16*o + 2*z + 6454. List the prime factors of o.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272353 + 336769 = -671*k for k.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-20)\/a*a**(-6) assuming a is positive.\nAnswer: a**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 760 - 252 = -s, -2*b + 5*s + 254 = 0. Calculate the remainder when b is divided by (4 - 39\/9)\/((-1)\/78).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 562677 and 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 110778287*g*h**2 + 2*g*h - 2*h**2 + 418753*h + 167 wrt g?\nAnswer: 110778287*h**2 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 25*h**2 + 42*h - 17. Let p(d) = 13*d**2 + 23*d - 9. What is 6*c(v) - 11*p(v)?\nAnswer: 7*v**2 - v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11201 + 0?\nAnswer: -11201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/107, 0.1, -3\/7 in increasing order.\nAnswer: -3\/7, -2\/107, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17\/38 - 1\/19. Let g be ((-72)\/(-16))\/(-1)*(-7 + 366\/54). Let x = -4 + 4.3. What is the closest to g in -5, m, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 3*k**2 + 1. Let x(d) = -5*d**3 + 21*d**2 - 16*d + 18. Let a(y) = -x(y) + 6*z(y). Factor a(v).\nAnswer: -(v - 2)*(v - 1)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4870, -9763, -14660, -19561, -24466, -29375?\n\"Answer: -2*m**2 - 4887*m + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4 - -1)*-1 - 3)\/(-2). Suppose -42*h + 36*h + 102 = z. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -10. Suppose 22 = 2*z + 4. Suppose 0 = 3*x + 4*v - z, 4*v - 12 = -2*x - 2. Is x > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14247720 (base 8) to base 5.\nAnswer: 1311403241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/4)\/((-2)\/8). Suppose -c = 0, 5*t + 10 = h*c + 25. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 4*a + 510. Suppose -5*u - 4*i - 28 + a = 0, 4*u + 5*i = 110. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yowb when four letters picked without replacement from bhbbbbbwyyhojbhb?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 140\/21 + 10\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = b - 30 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1227872 to the power of 1\/2, to the nearest integer?\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 42065 a multiple of 179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 8*f**2. Suppose 1371*r - 1389*r = -36. Let q(j) be the second derivative of 6*j - 1\/6*j**3 + 0 + 0*j**r. Calculate q(m(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12, -1, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/18 and -73\/21184.\nAnswer: 190656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 879 - 846 + 516*n**2 - 699*n**2 in the form d + z*n**2 + j*n and give d.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**7\/210 + m**6\/18 - m**5\/10 - 3*m**4\/2 + m**3\/3 - 6*m**2. Let n(v) be the first derivative of o(v). Factor n(k).\nAnswer: -4*(k - 3)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*(-8)\/16\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 3061*n - 14282 = 3710*n, -t + 87 = -4*n for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1686662 to the power of 1\/2, to the nearest integer?\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m = -24*m + 136 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (9 + 8 + -12)) + -48 + -14\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**3 - 2*y**3 + 0*y**3 + (-5*y**2 + 0*y**2 + 4*y**2)*(0*y + 1 + 2 - y) + 17*y**3 - 2*y**3 + 17*y**3.\nAnswer: 34*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8eaa (base 15) to base 2\nAnswer: 111011001100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 10*c**2 - 39*c + 2. Let k be z(13). Solve -7 = -3*p - 5*j, -5*p + 3*p - k*j = -6 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54522002 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67158*w - 1 + 69508*w + 1 to j*w + i and give j.\nAnswer: 2350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooysyqshdosohss. What is prob of sequence yhh?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 = 84*t + 107 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11186.804602 rounded to 1 dp?\nAnswer: -11186.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) 0.2 (c) 227 (d) 18.2 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -5307335.\nAnswer: -21229340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 - 33 + 103 - 42 + 13*s - 40.\nAnswer: 13*s - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 21*x**2 + 21*x + 18. Let r be b(22). Suppose p + t + 5 = 0, -5*t - 4 + 3 = -3*p. Put r, p, 5 in decreasing order.\nAnswer: 5, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 95343978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 481727498?\nAnswer: 2, 7, 103, 334069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**8\/560 - 19*g**6\/200 + 3*g**5\/10 - 1129*g**2. Let i(m) = 0. Calculate m.\nAnswer: -5, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h**2 + 364*h + 244. Calculate a(122).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72 - 56 - ((1 - (3 + -2)) + 4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7867 + (15 + -1)*(-15 - -16)\/2. What is the highest common factor of o and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*u - 3*u - 20*u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016) + 1*sqrt(2016)*3)\/(-6*(sqrt(112) + sqrt(112)*3) + sqrt(112)).\nAnswer: -12*sqrt(2)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide -7 - -94 - (-5 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 b when two letters picked without replacement from {b: 2, p: 1, e: 4}.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0 - 34*a + 0 - 57*a to j + b*a and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*m + q, -m + 974*q + 6 = 977*q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txtdgtxgd. Give prob of picking 2 x.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 26 = o - 4, 8 = 2*d. Let s be 0 - (o - -1 - 1). Suppose -3*z + 4 + s = 0. Solve 2*n = -2*c - 10, -z*n + c = -4 - 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 934\/3, 3\/4, -2\/3, 0 in descending order.\nAnswer: 934\/3, 3\/4, 0, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 10*t**2 - 8*t - 32. Let r be p(11). Let u = 0 - 4. Let v be u\/(-6)*-1*6. Sort r, v, 5 in decreasing order.\nAnswer: 5, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10681 by -472.\nAnswer: -10681\/472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 24.335412 milliseconds?\nAnswer: 0.0004055902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**5\/20 + i**4\/6 - i**3 + 13*i**2\/2 - 1005*i. Calculate y(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 97637.46ms?\nAnswer: 97.63746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.98130958 - -0.2143?\nAnswer: -14.76700958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**5\/60 + x**4\/24 + 2*x**3\/3 + 39*x**2. Let b be f(0). Solve -b*n - 15 = -35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i**2 + i - 4. Let w(z) be the second derivative of -z**4\/4 - z**3\/6 + 5*z**2\/2 + 2960*z. Calculate 7*a(b) + 6*w(b).\nAnswer: 10*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141154 is divided by 953?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2348, 2166, 1662, 674, -960, -3402, -6814?\n\"Answer: -27*g**3 + g**2 + 4*g + 2370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 11 = i - 4*i, 0 = j + 3*i - 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 20. Suppose 5*z - i = -4, 3*z = -5*a + 49. Suppose 3*o - a*o = 2*c - 9, -c + 3 = o. Solve -l = c*m + 9, 0*m - 5*m = l + 21 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120550 is divided by 359.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -3, 1\/4, 285, -0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 1 + k + 0 - 3*k**2 + 4*k**2. Let s be w(-3). Suppose -5*p + 27 = s. Put -1, p, -5 in increasing order.\nAnswer: -5, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 (base 16) in base 12?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -5\/3, -337839?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 9:53 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52*(8\/(-172) + (-225)\/(-215))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -945 and -108696.5.\nAnswer: 102718192.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/(-33) + 1\/(-3). Is -4 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 773 - 93. Suppose -5*m + 13 = j, -2*m + 7 = 3*j - 2*j. Suppose a = j*x + 149. List the prime factors of x.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 22, 116, 1, -1?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hiqi when four letters picked without replacement from yqiqyqhycyccciqch.\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1395453563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 345277 and 1930?\nAnswer: 3452770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -186*w - 11. Let n(y) = -62*y - 4. Let k(h) = 6*m(h) - 17*n(h). Let b be k(-2). Is b at least as big as 126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 u when four letters picked without replacement from {b: 2, u: 7}?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -15*n**2. Let z(u) = 4*u**2 - 9*u. Let x(v) = -2*v**2 + 4*v. Let a(b) = -9*x(b) - 4*z(b). Calculate a(k(q)).\nAnswer: 450*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1258674 and 362.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*z + 5 = 43*z - y, 4*z - 25 = 5*y for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(245))**2 + sqrt(245) - sqrt(15)\/sqrt(243) - (-1*sqrt(135))\/(sqrt(144)\/sqrt(3)).\nAnswer: -1237*sqrt(5)\/36 + 254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5351 - 674227\/126. Calculate the common denominator of 5\/504 and p.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -33, 4 in descending order.\nAnswer: 4, -1, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (342\/(-12))\/(10\/4). Let o = -341\/30 - r. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = s - i, 4*s = s - 4*i - 29 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -817*f**2 - 6*f + 683. Let x(j) = 2*j - 3. Let z(o) = -k(o) - 3*x(o). What is the first derivative of z(r) wrt r?\nAnswer: 1634*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71918, 71914, 71908, 71900?\nAnswer: 71890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**4\/2 + 30*b**3 - 33*b**2 - 30*b + 63\/2 = 0?\nAnswer: -21, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1948 - 38983\/20. What is the common denominator of x and 23\/38?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3039 - 3039.1. What is the smallest value in 20, 1\/4, h, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108181209 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 22, -118?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 432430?\nAnswer: -432440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixteen ninths of a day?\nAnswer: 2560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c\/(c\/(c*c*c**(1\/3)))))**(-2\/21))**23 assuming c is positive.\nAnswer: c**(46\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - -3*sqrt(65)*-3 - sqrt(65))\/sqrt(5).\nAnswer: -9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057)*-2 + sqrt(2057) + 2)**2.\nAnswer: -44*sqrt(17) + 2061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*n, 288 + 76 = 2*d + 4*n. Let c = d - 113. Calculate the remainder when c is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -487, -498, -515, -538, -567, -602, -643?\n\"Answer: -3*k**2 - 2*k - 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-63))\/((-4)\/(-3))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 12 = -k, k = -u + 58 - 64 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 49 = -4*v - 5*f, 3*f = -2*v + 40. Let w(q) = -21*q - 8. What is the remainder when w(-3) is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*n - 3653 = 40*n - 517 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140) + 6*-2*sqrt(140))*-6)\/(-5*-4*sqrt(500)*5).\nAnswer: 33*sqrt(7)\/250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxxjyxxxyxyxxjxccx. Give prob of sequence jyx.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12, 27, 58, 111, 192, 307, 462?\n\"Answer: j**3 + 2*j**2 + 2*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.28 (b) 0.3 (c) 3 (d) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6732?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h + 2*h - 3*h)*(5 - 5 + h) + h**2 + 3 - 3 + h**2 - h**2 - h**2 + 27 + 6*h**2 - 27 - 3*h to p*h + w*h**2 + x and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 + 0*o**2 - 5*o**2)*(3*o - 3*o - o**3) + 58*o**2 - 58*o**2 + 17*o**5 - 11*o**5 + 10*o**5 - 26*o**5.\nAnswer: -8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21, 14, -1, -30, -79, -154?\n\"Answer: -o**3 + 2*o**2 - 6*o + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*o - 393*o - 1817 = 260*q, 2*q + 8 = -5*o + 3*q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Sort 803\/2, -76, 13\/5 in descending order.\nAnswer: 803\/2, 13\/5, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (-4 - (18 - 21))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.41 + -0.09. Let o = -3 - a. Let w = 3 + -4. Put o, -3\/5, w in descending order.\nAnswer: o, -3\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 483 - 480. Let j = 0.4 + -0.4. Let r = 0.5 - j. Which is the third smallest value? (a) k (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbtjq. Give prob of sequence bqt.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 52985273?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16671351?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3 + 20 = 0. Suppose 4*u - 5*w = d, -2*w = 3 + 3. Suppose 4*b = -u*i + 266, -62 = -2*b + b - 2*i. Is b a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 272\/12*8*(-21)\/224?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/7 (b) 1 (c) -4\/5 (d) -20\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8387852 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 313000 - -20?\nAnswer: 313020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 1. Let p be 26\/10 - 20\/(-50). Suppose -4*d - 5 = 2*v - p, -2*v + 5 = -3*d. Let z(i) = -7*i - 7. Determine d*z(q) - 6*h(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 - 19. Suppose 4*p = -f + 3. Let c be 54 - 9\/((-9)\/p). Calculate the highest common factor of c and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 2)*(-7*z + z + 0*z) + (2*z + 4 - 4)*(-2 - 1 + 6) + 2*z + z + z to the form k*z + a and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aadb (base 16) to base 4.\nAnswer: -22223123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(864) - (sqrt(864) - (-6*sqrt(864)*1 + sqrt(864) - sqrt(864)))) + (2*sqrt(864) - sqrt(864))*4)\/(-1*(sqrt(768) - (2*2*sqrt(768) - sqrt(768)))).\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341664893 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 6 = -2*q, 2*q + 2*q + 12 = 2*k. Suppose k = -4*i - g + 465, 0 = -2*i - 3*g - g + 250. What are the prime factors of i?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 9. Solve 5*x = -5*d + 30, v + 16 = 4*d - 3*x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 49042660.\nAnswer: 343298620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15749253 is divided by 7874610.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11110010 (base 2) to base 13\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16279197 at least 16279201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 588870 rounded to the nearest one thousand?\nAnswer: 589000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(891)*3)**2 - (sqrt(66)*-3*2)\/sqrt(6).\nAnswer: 6*sqrt(11) + 8019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 8*a**2 - 12*a - 22. Calculate j(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*q**2*z**2 + q**2*z + 2*q*z**3 + 2*q - 2*z**5 - 38*z wrt z.\nAnswer: 8*q**2 + 12*q*z - 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 5*q + 2*q)*(-9*q + 8*q - 9067 + 7810).\nAnswer: -2*q**2 - 2514*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 2. Let o = r - -10. Let b = 12.9 - o. Round b to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 d, and 1 m when four letters picked without replacement from uuzdvmudzzddz?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 9060423.54 to the nearest 100.\nAnswer: 9060400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (-2 + (0 - -1)). Suppose 2*t - w + 23 = 0, 4*t + 15 = -4*w - 13. Let g be (-1)\/(-12)*-10*3\/t. Which is the closest to -0.21? (a) g (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -822*z**4 - 102*z**2 - 630587*z wrt z?\nAnswer: -9864*z**2 - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -223603174.\nAnswer: -223603179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -13*z - 7. Let s(i) = 2*i**2 + 26*i + 13. Let n(f) = -11*b(f) - 6*s(f). Let n(x) = 0. Calculate x.\nAnswer: -1, -1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160774 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r - 20*r - 31*r - 19*r.\nAnswer: -80*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7979 and 1111.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/33*42\/(-119).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 + -40. Calculate the smallest common multiple of r and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 2*s**2 - 13*s - 1. Let u be m(5). What are the prime factors of (-2)\/(2\/u)*11\/11?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 14491 = 5*r - 6658, -2*r + 8450 = 4*v. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*o**3 - 21326 - 21*o**4 + 21328 + 28*o**3)*(-2*o + o + 0*o).\nAnswer: 21*o**5 + 2*o**4 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 83 = 37. Suppose -2*w + c = 14. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*l**4*q + 2*l**2*q - 2*l**2 - l*q - 31*l - 15*q wrt l.\nAnswer: 252*l**2*q + 4*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 244 + -243.933. Which is the third biggest value? (a) 2\/3 (b) h (c) 2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.3. Let r = -1858144\/4559855 - 4\/86035. Let u = 2\/265 + r. Which is the second biggest value? (a) y (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -4.2, -585, -0.2, -15, -0.8, -2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 6, -j = -l + 6*l - 63. Solve s + 10 = o - 3*o, o - l = 4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**9*p*p*p)\/p)**(-1) assuming p is positive.\nAnswer: p**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4037?\nAnswer: 11, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.9497 minus -533092?\nAnswer: 533097.9497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d**2 + 3*d + 6. Let p be y(5). Let m(g) = 3*g**3 + 9*g**2 - 62*g - 4. Let k be m(-6). Let o = k - p. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence klb when three letters picked without replacement from {m: 2, k: 4, l: 2, b: 1, i: 2, a: 6}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1))**25\/(t*t**(-2)*t**2))\/(((t*t**(5\/3)\/t)\/((((t\/((t**(2\/11)*t)\/t))\/t*t)\/t)\/t))\/((t\/t**0)\/t)**10) assuming t is positive.\nAnswer: t**(-952\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**4\/12 + 3*n**2. Let t(p) = -5*p**2. Let l = -9 - -7. Let y(d) = 2*d**2. Let g(f) = l*t(f) - 6*y(f). Calculate w(g(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22 and -91?\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - -4*(2*sqrt(204) - sqrt(204)) - 2*sqrt(204)*5)\/((-6*(sqrt(120) + sqrt(120)*-3))\/sqrt(10)).\nAnswer: -5*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 3. Suppose -4*u + 9 = -u. Suppose 0 = -3*m + u*g + 18, g + g = -5*m + 16. Let i(a) = a**2 - 5*a - 1. Let n be i(m). Calculate v(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((480\/7)\/(-8))\/(1330\/(-5586))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/3 - 48\/(-18). Suppose d*y - 4*y = -4. What is the least common multiple of 12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26939, -26947, -26955, -26963?\nAnswer: -26971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72112, 83599, 102744, 129547?\nAnswer: 164008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - b + 0*b + 26 = 0, -5*b = -a. Suppose -a*u + 20 = -25. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 7 - (-2 - -2) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**5\/20 - 5*p**4\/12 + p**3\/3 + 2*p**2 - 23*p. Let b be l(-5). Let m(y) = -27*y - 20. What is the hundreds digit of m(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 221211?\nAnswer: -221200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.6 + 7. Let h = 2.7 + s. Let u = h + -5.1. Which is the second smallest value? (a) 0.3 (b) 1\/2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from utyytyayyduauu.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17*16*17\/816?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.91 and 0.01.\nAnswer: 0.0091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -0.0757.\nAnswer: -0.5299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 681660164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 5*o + 3 + 1, -2*y + 4*o = -14. Let p = y - 2. Which is the third smallest value? (a) 4 (b) p (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (146 + -153)*(1 + -2). Calculate the greatest common divisor of s and 1253.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 - 620 = -100*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 4*r - 0*o - 3*o, 9 = 4*r + 5*o. Which is the nearest to -1\/2? (a) 3\/2 (b) 0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14101452.2999937 + 14101459.9. Let l = o + -7.6. Round l to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -513*j + 7467 = 3612 - 9157 - 4943 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-3 + sqrt(85)\/sqrt(45))**2 + -1 + -5 + (sqrt(272) - ((sqrt(272) + 0 + sqrt(272))**2 - sqrt(272))).\nAnswer: -4933\/9 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 252\/147*(6 - (-282)\/9)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4918, 3817, -1 in ascending order.\nAnswer: -1, 3817, 4918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z + 1. Let i be b(7). Let x be i\/(-3) + (-1)\/3. Let m = x - -14. Solve m*v + 0*v + 20 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -208*a - 649*a + 1243*a. Let v(o) = 2*o. What is c(v(j))?\nAnswer: 772*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -363.05 + 363.05. Which is bigger: -47 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 322486.9 millilitres?\nAnswer: 322.4869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 + 96392*v**2 + 385484*v - 481880.\nAnswer: 4*(v - 1)*(v + 5)*(v + 24094)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 t when three letters picked without replacement from {g: 4, t: 2, a: 2, s: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001924510948 rounded to 5 dps?\nAnswer: -0.00192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 y when three letters picked without replacement from {h: 2, y: 1, m: 14}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1000 and 2893375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 5*h - 6. Let p = 13 + -13. What is o(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 6*s - 90. Suppose 0 = b - s. Solve -5*o + 15 = -3*n, n - o - 2*o = -b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -89324, -173576, -257830, -342086, -426344?\n\"Answer: -d**2 - 84249*d - 5074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1610 is divided by 124?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = m - 8, 4*r + 2*m - 544 + 271 = -277 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 0*g. Solve 3*n = -g*n - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7*u**3 - 302*u**2 - 581*u - 183. Give a(45).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-2 - 6) - -10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10.949016258 and 1?\nAnswer: 9.949016258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.1 + -3. Suppose 4 = -5*h - 6. Let q be h + -16*3\/(-30). Which is smaller: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 + 0)*(-7 + 3 + 3)*(-8*r + r + 2*r + (4 - 50 - 77)*(4*r - 3*r + 0*r)) as v + j*r and give j.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -143*b**2*y**2 + 2*b**2*y + 79*b**2 - y - 1 with respect to y.\nAnswer: -286*b**2*y + 2*b**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -23*g**3 - 17*g**2 + 17. Suppose -5*i + 4 + 11 = 0. Let w be (-3 + 20)*(4 - i). Let u(r) = -8*r**3 - 6*r**2 + 6. Determine w*u(c) - 6*k(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -718*j - 2*j**2 + 3*j**2 + 356*j + 362*j.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*n + 27*n - 265*n = 1199 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -7*g**2 - 2*g - 1. Let m be d(-1). Let a = m + 8. Let s be 1\/4 - a\/8. Sort s, -0.1, -5 in descending order.\nAnswer: s, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-2)*(-6 - (-28)\/6). Let x(c) = -c**2 - 5*c + 1. Calculate the remainder when 24 is divided by x(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 - 145357*h**2 - 2616769*h + 2762125.\nAnswer: (h - 145375)*(h - 1)*(h + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + z + 5*z)*(16 + 67 - 149).\nAnswer: -198*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1051*g - 23633 = -6817 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - 0.26. Let u = f + 8.66. Let t = u + -9. What is the smallest value in t, -2, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p - 2. Let o = 0 + 3. Suppose o*h = 7*h - 16. Suppose -12 = h*a - 0*a. Give y(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(4))\/sqrt(972)*4.\nAnswer: 4*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10198, 10199, 10200, 10201, 10202?\nAnswer: 10203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 343 and 35190526?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (173*r - 282*r + 202*r)*(-1 + 0 + 2).\nAnswer: 93*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3889.\nAnswer: 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 5*x - 5, -3*m + m - 25 = -5*x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -16, -1.5, 0.0227, -4, 9?\nAnswer: 0.0227","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*v - 23 - 117. What is the remainder when v is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((1*sqrt(1694))\/sqrt(7))**2.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3318 - 1051808\/317. Are 0 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 5)*(4*r - 4*r + 3*r)*(15 + 22 + 26) + 1 - 1 - r.\nAnswer: 1133*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**4\/24 - 8*y**3\/3 - 35*y**2. Let k be d(-8). Let l be 907 - (-5 - k\/4). What is l rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 345526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a + 23. Let c be s(-12). Is c\/4 - 7\/((-56)\/1770) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 13*d**2 - 81*d + 9. Let r be n(6). Let l(u) = u**3 + 10*u**2 + 3*u - 24. What is l(r)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 + -34. Let c = 33 - 16. What is the second derivative of c*d**4 - v*d**4 - 2*d - 6*d**5 wrt d?\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4947b + 1746?\nAnswer: -47a35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(-v + v - 2*v)*(1 - 1 + v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 2*x**2 - 15*x - 25. Calculate f(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1, 117, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**6\/720 + p**5\/40 + 5*p**4\/12 + 4*p. Let g(q) be the third derivative of m(q). Determine g(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 1253 = 13*o. What is the common denominator of o\/(-420)*(2 - (6 + -2)) and -32\/21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/7)*n)**(-1\/10) assuming n is positive.\nAnswer: n**(-4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-54)*14625\/695500*-6?\nAnswer: 1\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-6))\/(((-145)\/87)\/5)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -547.\nAnswer: 54.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 4*j**2 - 5*j - 9. Calculate r(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 7804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*d, d = -4*s - 2*d - 1424. Let r = 428 - 625. Let t = r - s. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -402245, -402168, -402093, -402020?\nAnswer: -401949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from age. Give prob of picking 1 a and 1 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 10. Suppose -o + 9 = -l. Let r = -839 - -857. Calculate the least common multiple of r and o.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 times -181148?\nAnswer: 344181.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19004, -19007, -19010, -19013, -19016, -19019?\nAnswer: -19022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g**2 + 5*g + 5. Let l(r) = -r**2. Let a(d) = -4*d**2 + d + 1. Let o(t) = -4*a(t) + 22*l(t). What is 5*o(z) + 4*q(z)?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -209.0621 rounded to the nearest integer?\nAnswer: -209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-117)\/(-156))\/((-2)\/(-8)*-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*1*sqrt(24))\/sqrt(12) - (sqrt(14) - -1*sqrt(28)\/sqrt(2))\/sqrt(7)) + 5.\nAnswer: sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*t**5 + 15*t**3 + t - 218.\nAnswer: -160*t**3 + 90*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -26. Suppose x = -3*t - 5*j + 7, -5*t + 6 = -3*j. Let o = 5 - t. Solve o*i = -w + 6, 2*i + 3*w = 6*i - 20 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136627563 to the power of 1\/3, to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6044056795.\nAnswer: 5, 7, 172687337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 2*s - 142183, -64*s + 113749 = 4*y - 65*s. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (182\/(-49) - (1 - 4))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0732163 minutes to nanoseconds.\nAnswer: 4392978000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2043 = -3*w + 2*d, 0 = -w + 2*w - 5*d - 694. Suppose -4*q - 4*m = -544, -5*q = -0*q + 4*m - w. What is the greatest common divisor of q and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*k - 256 = 348 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/4*104\/(-78). Suppose 0 = -2*n - a*n. Solve -2*u + n*u = 2*d + 14, 25 = -3*u - 5*d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1101763\/910842 + 1\/14691. Find the common denominator of s and -121\/20.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.17084 at most as big as -0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10470*q - 16978*q - 29390*q + 13734*q - 23910*q + (-1 - 2 + 4)*(-q - 3*q + 2*q) + 2*q - 4*q + q.\nAnswer: -46077*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 - l**2 - 2*l**3 + (-l**2 + 0*l**2 + 3*l**2)*(0 + 0 - l) - 5*l**3 + 2*l**3 - l**3 + 2324 - 2324 + 317*l**3.\nAnswer: 309*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4026920 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003284563 rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 - 82 = -6*m. Suppose 0 = 2*z - 4*u - 22, -2*z + 5*u + m = -0*z. Let h be 2\/(-4 - -2) + z. Solve h*d - 2 = 2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 divided by 3?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5623*p**2 + 39*p - 4 - 5623*p**2 - 211*p**4 wrt p.\nAnswer: -2532*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 >= -5686240.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d - 2 - 3*d + 2*d. Suppose -c - 1 = -2. Give n(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223338017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 - 14712077194.782.\nAnswer: -14712077195.582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 94*o - 653. Let y be r(7). Which is the closest to -7\/2? (a) -0.1 (b) y (c) 0 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22951.\nAnswer: 59, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3370 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l - 2. Let a(x) = -x**2 + 5*x - 5. Let b(m) = 2*a(m) - 5*c(m). Let h(u) be the first derivative of 0*u - 16\/3*u**3 - 10 + 0*u**2. What is h(b(d))?\nAnswer: -64*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1135213.\nAnswer: 139, 8167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - -120112124?\nAnswer: 120112143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110 divided by -13.\nAnswer: 110\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1058 - 1032. Solve 5*v = -2*q + 8, v + q - b = -22 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 450 and 100225550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2553 (b) 11 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7970639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -846.094689 - -1045.09453. Let g = -199.247 - -0.247. Let i = t + g. What is i rounded to 5 decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1956429783?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + 0 + sqrt(2))**2*-6 - ((sqrt(126)\/sqrt(7) + sqrt(18))\/sqrt(9) + sqrt(98)*-5).\nAnswer: -72 + 81*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -20.37.\nAnswer: -2.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sm when two letters picked without replacement from {n: 2, k: 2, l: 1, m: 2, s: 10, u: 2}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160 and 70240.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 2. Let k = -1.6 - q. Is k > 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 354?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1120 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0109 and -3954.6.\nAnswer: 43.10514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/1182540 and -91\/101698440?\nAnswer: 101698440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 252 = 4*z - n, -2*z + 2*n + 132 = 0. What is the highest common divisor of 2573 and z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**3\/2 + 81*i**2\/2 - 1460*i. Give l(-17).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34975, 34925, 34851, 34753, 34631, 34485, 34315?\nAnswer: 34121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1802\/153 + (-2)\/(-9). Let w be ((-16)\/u)\/((-8)\/12). Suppose -2*h - w*h = -3*c - 635, 4*h = -4*c + 656. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2933671 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2491057?\nAnswer: 61, 97, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**3\/6 + a**2\/2 + 7*a. Let v be 38\/(-8) - (-1)\/(-4). What is q(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 0.0395?\nAnswer: -0.158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2efd65 + -4?\nAnswer: 2efd61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 728, 1457, 2186, 2915, 3644, 4373?\n\"Answer: 729*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003311197 rounded to seven dps?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 35 + 6 - 18 - 42\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 8:29 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n + 16*n + 39*o + 159 = 0, 0 = -5*n + o + 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a century in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*x + 21 - 7*x - 21 to the form p*x + d and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5730 divided by -6\nAnswer: -955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 1\/6 (b) 2\/5 (c) 11.5 (d) -10796 (e) -4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16464 divided by 6.\nAnswer: -2744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0857853ml?\nAnswer: 0.0000857853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80666 - 281434 = -20*j - 0*j. What are the prime factors of j?\nAnswer: 3, 5, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/1635 and 187\/600.\nAnswer: 65400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -13, 63 in increasing order.\nAnswer: -13, -1, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 4. Let y be n(0). Let m be (-3)\/2*(-2)\/(-3). Which is the nearest to -0.1? (a) 0 (b) y (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -833 - 97 = -2*z. Let y be (z + (3 - -1))\/1. Let j = -252 + y. What are the prime factors of j?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35\/2 not equal to 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 402926121 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 870096318 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1034824 and 476?\nAnswer: 1034824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 575 + -225. What are the prime factors of z?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 0.5, -0.09, -37, -3, -2\/3, -50?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 225*w**2 + 163 wrt w.\nAnswer: 450*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10895 is divided by 77.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 2*g**2 - 3*g - 3. Let a be u(-2). Suppose -a*o = 2*o - 3*n - 8, -4*n = 5*o - 36. Solve o*f = -5 - 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 0*s**6 + 0*s**5 + 0*s - 5*s**2 + 0 + 0*s**4 - 5\/6*s**3 + 1\/30*s**7. What is the first derivative of z(b) wrt b?\nAnswer: 28*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3815129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 g when three letters picked without replacement from {g: 3, c: 1, e: 2, i: 1, a: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**3 + 370280*g**2 - 5554956*g + 13332240 = 0. Calculate g.\nAnswer: -92585, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3330 (base 13) to base 2.\nAnswer: -1101111100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14\/5, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5638.5441143 and -0.01524?\nAnswer: 5638.5288743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 7. Suppose 5*l = 4*l - 5*j - 27, l + p*j + 22 = 0. Which is greater: -4\/5 or l?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.53 - 0.07. Let w = -254 - -382. Let v = w + -124. What is the closest to r in 1\/7, v, 0.2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + -2121763?\nAnswer: -2121769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 2*m**2 - m + 21. Let u be a(0). Let i = 559 + -503. What is the highest common divisor of u and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -0.1 (b) 21 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/10*-6 - (-4 + 10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*a = -171*a + 616715. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 118 + -114. Suppose t*y - 21 + 1 = 0. Solve -4*p - 3*m + 16 = -2*m, -3*m = y*p - 27 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n**2 + 2*n + 5*n**2 - 4*n**2 - 7*n**2 + 10*n**2 + 12*n**2 + (4*n - 2*n - 4*n)*(10 - 19 + 16 + 5*n).\nAnswer: 11*n**2 - 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 3, 483.\nAnswer: -5, -2, 3, 483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 0.1, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 22.1 (c) 1\/4 (d) 390\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 + -1. Let t be (12\/(-9))\/((-2104)\/1578). Sort t, r, 6.\nAnswer: r, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.66 + -1.72. Let l = i + 2.08. Which is the second biggest value? (a) 1 (b) 4 (c) l (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171, 172, 177, 186?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -3*m - 33, 3*g + 240 - 191 = -4*m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 24*m**5 - 4900*m**4 - 293420*m**3 - 784820*m**2 + 384836*m + 698280 = 0?\nAnswer: -46, -3, -5\/6, 1, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -187 - -172. What is the tens digit of ((-36)\/t*3)\/((-6)\/(-285))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 251833*n**2 + 30*n + 28. Is y(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -488 divided by -256611.\nAnswer: 488\/256611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -185084805.2 and -1.\nAnswer: -185084806.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -165*f + 685. Is 20 a factor of u(-35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2201 + 2201 - 731*l - l - l - l + (1 + 2*l - 1)*(-2 + 1 - 1) - l - l + l.\nAnswer: -739*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**3 - 4*c**2 - c + 5. Let o = -6742 + 6740. Give z(o).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 174 = 4*g, 9*g - 92 = 7*g + i. Solve 38*u + 14 = g*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55539 and 748.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 11. Let z be w(-12). Let h = z + -1. Suppose 2*y + 5*i = -3*y + 20, -3*i + 3 = h. What is the greatest common factor of 6 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 + 41*c**3 + 472*c**2 - 476*c**2 - 14 wrt c?\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-282)\/(-940))\/(-4*42\/(-280))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4 + 153*j**3 + 2529*j**2 + 14547*j + 12168.\nAnswer: 3*(j + 1)*(j + 13)**2*(j + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 115\/25 + (-2)\/(-5). Suppose -701766 = -2*y - 3*k, 0 = y + 3*k - 3826 - 347060. Suppose -u*i + y = -649120. Round i to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -671 + 401. Let v = 190 + t. Let y = 79 + v. Which is the nearest to 0.3? (a) 5 (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 6. Let p(k) = 0*k**2 - k - k**2 - 2*k**2 - 3 + 6 - 4*k**3 + h*k**5. Let t(q) = -q**2 - q + 1. Let f(x) = -p(x) + 3*t(x). Factor f(b).\nAnswer: -2*b*(b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6*a. Let p(z) be the second derivative of z**6\/120 + z**3\/6 + 12*z. Let v(y) be the second derivative of p(y). Calculate m(v(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/3))**(-1\/9)\/(v*v\/(v**(-1\/4)\/v)*v*v**7) assuming v is positive.\nAnswer: v**(-1223\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 17*l - 21*l + 5432, 2*q + 6*l = 5432. Calculate the greatest common factor of 2231 and q.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756 is divided by 212.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66 - -74. Suppose -4*x - 24 = -2*l, 2*l - l - 3*x - 17 = 0. Calculate the greatest common divisor of w and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(-3)\/(-6) + -1. Suppose -5*a + l*a - 6 = t, -4*a = 4*t - 8. Let z be (6\/4)\/((-1)\/a). Solve -z*k + 7*k + 8 = 0, 5*w - 18 = -k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*x + 6 + 0 - 6.\nAnswer: -17*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 2*f + 32. List the prime factors of (-4)\/2*(-28)\/f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 64 - (-12 - (9 + -13)). Suppose -60*z + 48 = -i. Determine n so that n**z + 1\/6*n**3 + 0 + 0*n = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -k + 10. Suppose 6*b - 6 = 3*b. Let s(o) = -4*o**2 + 3 - 3*o + 3*o**b + 0 - 2*o. Determine s(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 361*w**2 - 57*w + 0 + 62*w - 119*w**2 - 121*w**2 - 120*w**2 - 2. Suppose -v + 4 = -2*v. Give r(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 80834461?\nAnswer: -80834464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6794.2661 - 0.2661. Which is bigger: u or -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 919231\/10 - 92008. Let u = g + -2797\/70. Let m = 124 + u. Is m less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 78*h**2 - 3*h**2 + 67*h**2 + 49*h**2 in the form v*h + s + g*h**2 and give g.\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) -6\/17 (c) -2\/39 (d) -1\/76 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-6))*d*d*d**0*d*d)\/(d**(2\/13)\/d**(3\/7)) assuming d is positive.\nAnswer: d**(935\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -48160465.63 rounded to the nearest 1000?\nAnswer: -48160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 7*a - l - 114, 5*l = 10. Suppose u - 2*p = a, -3*p - 81 = u - 4*u. What is the common denominator of (-4 - (-105)\/u)*(-990)\/(-116) and 99\/20?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*q - 2*c, -5*c = q - 10*c - 28. Suppose 5*o - f = 7, q*f = 4*o - o + 3. Solve -t = -y + 2*t + 4, -o*y + 4*t + 6 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/494858 and 18\/165859.\nAnswer: 30186338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 8*f - 11. Let x = -24 + 16. Let g be s(x). Let v(b) = -2*b**3 + 3*b + 3. Let j be v(-2). Calculate the greatest common factor of g and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 9. Let y = a - -12. Suppose 3*h = -5*i + 118, y + 138 = 4*h + 2*i. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - 3*s**2 + 5*s**2)*(0*s**2 - s**2 + 0*s**2) - 4*s**4 + 4*s**4 - 3*s**4.\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -7*p, 0 = -5*r + 5*p - 3*p + 27 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -3330396\nAnswer: -1665198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -54.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1550, -404, -11 in descending order.\nAnswer: -11, -404, -1550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6, -0.04, -2, -5, -0.05?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/5)*m**11)**44\/((m**(-4))**(24\/7))**(-13\/5) assuming m is positive.\nAnswer: m**(16308\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, -1\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sdc when three letters picked without replacement from {d: 5, s: 1, c: 5}.\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*r + 20 = -91*r. Suppose -4*g + 2*g = -t + 12, 0 = 5*t + 2*g - 12. Put t, -2, 17, r in descending order.\nAnswer: 17, r, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c + 18. Let h be n(-3). Suppose -4*z**3 - 12*z - 28*z**3 - 38*z**3 + 6*z**h + 48*z**2 + 1 = 0. What is z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**3 - 207*l**2 - 402*l = 0. What is l?\nAnswer: -67, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 14 - 12)*(2*t - t + t) + (4*t + t - 4*t)*(1 - 5 + 2) + 8*t + t - t.\nAnswer: -42*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231495 divided by -5.\nAnswer: -46299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 25?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-154)\/(-1078)*7\/2. What is the third smallest value in 5, l, -0.5, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l + 4*l - l**2 - 1 - 3*l**4 + 2*l - 9*l to the form s*l**4 + g*l + a + u*l**3 + y*l**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.41 and -1.51913.\nAnswer: 0.6228433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148477 is divided by 74229?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 68, 16 in ascending order.\nAnswer: -6, 16, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 13*w + 11. Let s be g(14). Which is the closest to s? (a) -1\/5 (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1778 + 3201. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**6\/120 - h**5\/15 + h**4\/24 + h**3 + 95*h**2\/2 + 121*h. Let c(r) be the first derivative of b(r). Factor c(n).\nAnswer: (n - 3)*(n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 + -7 + 102 + 12 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37476 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -3 + -1 - (-367 + 369)) + -20\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p + 1. Let g(i) = 8*i - 8. Determine -g(s) - 10*y(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 4967.337 to the nearest one hundred.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 668496398?\nAnswer: 2, 2887, 115777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4804 (base 12) in base 4?\nAnswer: 1332010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000010001 (base 2) in base 6?\nAnswer: -2241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 4, -6654542.\nAnswer: -6654542, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85152 and 396.\nAnswer: 2810016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180914*z**4\/11 - 5905154*z**3\/11 + 45079332*z**2\/11 + 4681144*z + 29744 = 0. Calculate z.\nAnswer: -1, -2\/313, 286\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1391 is divided by 103?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -3, -2, 3, -0.14427?\nAnswer: -0.14427","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17073, 68286, 153669, 273246, 427041?\n\"Answer: 4*j**3 + 17061*j**2 + 2*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 342*k**2 - k**4 + 339*k**2 - 682*k**2 - 3*k - 2*k**3 as f*k + o*k**3 + w*k**2 + i + z*k**4 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 101933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 9283008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(1 - 0)*38. Suppose -4*b = 12*b - 3152. Let t = 69 + b. Calculate the highest common factor of t and h.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-22)*(-4)\/(-3). Let i = 230 + -230.4. What is the closest to 0 in i, -2\/19, b?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/25 of a litre?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -39*t - 94. What is the remainder when j(-5) is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 22 = 4*f, 0 = -274*f + 277*f - 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -305.6913 rounded to the nearest ten?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - m + 2*m + 49 = 0, -v = 4*m + 28. Suppose -4*n + 5*n - 20 = 0. Let b be ((-25)\/n)\/(3\/v). Which is smaller: b or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.004 - 325106791.\nAnswer: -325106791.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.27813 centimeters in micrometers?\nAnswer: 512781.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 8 + -1 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-22)\/(858\/65))\/((-2)\/6))\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/31)\/i)\/(i*i**(-4)*i))\/(((i**(-2)\/i)\/i)\/i)**21 assuming i is positive.\nAnswer: i**(3284\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384 + 284 = 10*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**17\/n)\/n**6)**(1\/15) assuming n is positive.\nAnswer: n**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3304 + 3448. What is the highest common factor of 3712 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q - 3 + 4*q + 5 + (-687625 + 1495*q + 687625)*(-5 - 3 + 6) to the form y*q + i and give y.\nAnswer: -2983","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -597*a**2*d + 55604*a**2 - 3*a*d - 4218*a - 20*d - 2 wrt a.\nAnswer: -1194*d + 111208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8058*-17.\nAnswer: -13.6986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -26\/49, 5, 1.8, -8?\nAnswer: -26\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 = -11*b + 45 - 91 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41479 - 44*h - 41479.\nAnswer: -44*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125600 and 1216.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnn. Give prob of picking 3 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20147827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 33 - ((-8 - -11) + 0).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39765?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -339*9\/8910 - (-1)\/3. Which is greater: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 19 (c) -16858\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -20*y + 254. What is the remainder when 1019 is divided by f(11)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 34.67642 millennia?\nAnswer: 346.7642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 33 + 15. Let k = o - 18. Suppose x + 75 = k*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1046232 is divided by 47556?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.63323998 to 2 decimal places.\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 18\/487, 98?\nAnswer: 18\/487","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34108 + -32657. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -3 - (0 - -3 - -2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbebbeeeee. What is prob of picking 3 b?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.1442276 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -219 + 25*z**2 - 23*z**2 - 55 + (z + 4*z - 4*z)*(-z - 2 + 2) + (-2 - 2*z + 2)*(3*z - 3*z + z).\nAnswer: -z**2 - 274","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 133 - 135. List the prime factors of (277\/2)\/((-1)\/4*l).\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**2 + 670*y - 3300 = 0. What is y?\nAnswer: 5, 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1002003013 + 12?\nAnswer: -1002003001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-3))\/4*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 244, 253, 276, 319, 388, 489, 628?\nAnswer: 811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (136 - 137)*2\/4. Which is the nearest to v? (a) 0.05 (b) -3 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 344, 666, 972, 1256, 1512?\n\"Answer: -i**3 - 2*i**2 + 335*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 673*z**2 - 1380*z**2 + 708*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.5 (b) 2\/7 (c) 17\/2 (d) 9.9 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 85573331198 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3205211 + -46?\nAnswer: -3205260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 5 + 5)*(d - 2*d**2 + d**2 + d).\nAnswer: 3*d**3 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44683?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22002.88 + -3979680.\nAnswer: -3957677.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1685 is divided by 95?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*(-2310)\/(-8470)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/59230304?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15003095*g**3*j**2 + g**3 - 74*g**2*j + 7004*g*j - g wrt j.\nAnswer: 30006190*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -9*y**2\/4 + 165*y\/2 - 54 = 0.\nAnswer: 2\/3, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -92 (b) -3 (c) -5 (d) 19 (e) -1\/7 (f) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 3994 < 3995?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g**3 - g**2 - 2*g - 1. Let n be i(2). Let s = 18 + n. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -741898\/39 - -19022. Is -1 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 14. Let c(r) = r + 6. Let g be c(-7). Sort g, -5, t in decreasing order.\nAnswer: g, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31.3 - -30. Let i = l + 1.5. What is the third smallest value in -0.3, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 34*f + 95. What is g(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 380, 6\/19, -2\/7 in ascending order.\nAnswer: -2\/7, -0.06, 6\/19, 380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 105084297.4 rounded to the nearest 1000000?\nAnswer: 105000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.27+2476\nAnswer: 2476.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -174 (base 11) to base 7.\nAnswer: -406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 64? (a) -3\/2 (b) -1 (c) -2 (d) 4 (e) -1\/2 (f) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 8014534 to the nearest ten thousand.\nAnswer: 8010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -12 + 2 + 2 - -1. Let l be -3 + w\/(4 + -5). Suppose 2*t - 3 = -2*s - 7, 5*s - l*t - 35 = 0. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 272.43 to the nearest integer.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 128152445 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, n: 1, e: 3, m: 1, d: 4}. What is prob of sequence dccn?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -92 or 294?\nAnswer: 294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35908235?\nAnswer: 5, 11, 29, 47, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-15)\/(o*o**(-6)\/o))**(-48) assuming o is positive.\nAnswer: o**432","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 625 and 168250?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u + 235*r + 8 = 11*u + 231*r, -4*u + 4*r = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -135799 divided by -1\nAnswer: 135799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (883 + -2)*((-25)\/(-5) - 4). Let u = -4 + 4. Suppose u = 2*n + 5*p - 3286 + j, -5*n = 4*p - 6004. What is n rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 + -0.95. Sort 0.2, -2\/9, d in ascending order.\nAnswer: d, -2\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 5:15 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.263 (b) 777 (c) -1\/10 (d) 2 (e) -4\/5 (f) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - -182d6e?\nAnswer: 182d75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d - d + 5*d - 2*d + 3. Let m(b) = 4*b + 2. Let p(i) = 4*h(i) - 5*m(i). What is the remainder when 52 is divided by p(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -443*n - 396*n**3 + 443*n + (10 - 2 + 6)*(3 + 3 - 5)*(-n**2 + 2*n**3 + n**2) + 0*n**3 - n**3 + 2*n**3 as y*n**2 + u*n + l*n**3 + d and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-1\/5)*p**11\/p)\/((p*p\/(p*p\/(p\/p**(5\/14))))\/((p\/p**(-27))\/p)) assuming p is positive.\nAnswer: p**(2629\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -279*o + 8918 - 17831 + 8919 + (0 + 2*o + 0)*(-4 + 3 + 2).\nAnswer: -277*o + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 102?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208604 divided by 4.\nAnswer: -52151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 238141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 18671?\nAnswer: 9\/18671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*u. Let t = u - -26. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 3*r**2 + 4. Let o be l(0). Find the second derivative of 48*t**2 - 27*t**o + 14*t - 48*t**2 wrt t.\nAnswer: -324*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1236*d + 1717*d - 925*d.\nAnswer: 2028*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14013.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*u + 4*m - 7, -3*m = 5*u - 9. Let o be 5 + (1 - (u + 1)). Suppose -a - a + 5*i = 10, 0 = -a - 5*i - o. Which is smaller: a or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 930137 is divided by 411.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 19*g**2 - g - 12. Let p be d(-19). Solve 6*t - t - 45 = -5*r, 3*t = 2*r + p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -1\/2*r**4 + 2 + 2\/3*r**3 - 2\/5*r**5 + 0*r + r**2. Factor m(q).\nAnswer: -2*q*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -4*s**2 + 862120*s - 46453180900 = 0.\nAnswer: 107765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4\/7 (b) -4 (c) -2\/13 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 53874.9 and -7.\nAnswer: -377124.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 24*b**2 - 105*b - 10. Determine t(-6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**2 + 14*f - 8. Let z be q(-5). Let k(m) = 417*m**2 - 6*m - 10. Is k(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((80\/(-6))\/(-4))\/((-30)\/45). List the prime factors of 54802\/235*b\/(-2).\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2343703, 2343704, 2343705, 2343706, 2343707?\nAnswer: 2343708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -485 - -490. Let z(w) = w**2 - w + 12. Let k be z(0). Let h(q) = q**2 + 5*q - 2. Let b be h(-6). Solve 24 = 3*d - a*j, k = -b*d + 2*j + 30 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 5*x**2 + 2*x - 6. Let r be z(5). Suppose -q + m + 7 = -1, 17 = -q - r*m. Solve 2*c = -n, 2*c = 6*n - q*n - 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -748758*l**3*t**6 - 11*l**3*t**3 - 2*l**3*t - 4*l*t + 6850*l - 9*t**2 wrt t?\nAnswer: -89850960*l**3*t**3 - 66*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**2\/2 - 1. Let j be d(1). Let l be 11\/(-3) - 159\/477. Sort j, l, 4 in increasing order.\nAnswer: l, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/16*-6)\/(69\/29440*32).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(30\/573) + 1\/(-5). Let q = 183 - t. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24.7 + -25. What is the fourth biggest value in 1, k, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/380655 and -97\/80745?\nAnswer: 2664585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**3 + o**3 + o**3 + (0 + 0 + o**2)*(o - o - o) + 3*o**3 - 2*o**3 - 3*o**3 - 9*o**3 + 160 - 160 - 4*o + 4*o - 2*o**3 + o**3 - 2*o + 2*o.\nAnswer: -14*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 114325 + -454?\nAnswer: 113541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12*(-6)\/(-81)*6\/(-8). Sort -1, r, 1, -0.5 in descending order.\nAnswer: 1, -0.5, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 4*z + 3*z)*(1 - 30 + 5) - 10*z - 141 + 141.\nAnswer: -34*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-1) + (-20)\/(-15). Let z = 4.8 + -4.3. Suppose 5*t - 7 = -4*h, t - 3*t - 2 = 4*h. What is the closest to 1 in m, z, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 23*f - 312. Let d be z(11). Find the common denominator of 3*(-464)\/64*2\/d and 97\/16.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -3) + (-2 + 4 + 0 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*(-5)\/(25\/(-36)). Suppose -12*r - 474 + 18 = 0. Let q = j - r. Solve 0 = 3*w - f + 13, q = 2*f for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.14 + -9.14. Which is the nearest to s? (a) 14 (b) 0.3 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135 * 0.266\nAnswer: -35.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (3718\/17160)\/(20\/(-200))\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 18 = -2*u, -2*b - 2*b + u = -9. Let s = -124\/305 + 2\/305. What is the nearest to 0 in s, 1\/2, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 711420696 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-386)\/6)\/((-6)\/(-9)). Let z = -84 - m. Find the common denominator of -27\/4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71523 (base 10) to base 3.\nAnswer: 10122010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -99 - -49. Let u = 54 + o. Solve -4*l = 5*v - 29, -2*l + u = -3*v + 17 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37844 less than 2.50663?\nAnswer: 37846.50663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*i**2 - 2*i**2 + 0*i**2.\nAnswer: 17*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*p - 76*p - 53*p**2 - 52*p**2 + 106*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -9\/28 (b) 4\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/15)\/((-35)\/18 - -2)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**4 + u**3 - u**2 - u - 1. Let w(i) be the first derivative of 4*i - i**4 - 3\/5*i**5 + 3 + 2*i**2 + i**3. Let l(c) = 3*w(c) + 12*z(c). Factor l(k).\nAnswer: 3*k**2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 + 1132*i**3 - 1127*i**3 + i**2 - 4*i**2.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*p**3 - 19*p**3 + 6*p**3 + (-1 + 1 - 2)*(-2*p**3 + 0*p**3 - 3*p**3) + (2*p**2 + 0*p**2 - p**2)*(-2*p + 0*p - 5*p).\nAnswer: -36*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6165431401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 229126, -14, 0.04 in descending order.\nAnswer: 229126, 0.04, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 530115735?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18) + 1 + 4 + 4 - (-4*(-2*(sqrt(2)*2 - sqrt(2)) + 6*sqrt(8)))**2.\nAnswer: -3191 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1400 and 1920.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4536\/(-195) - (-252)\/546) + (-7)\/35.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/45 and 61\/80?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(1148\/63 - (-4)\/(-18)). What is the closest to -1 in -15.8, -0.4, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1551 = -10*a + 151*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -100 - -1098\/11. Which is smaller: b or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 296482855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -10835*j + 3 - 2*j**2 + 5414*j + 5417*j. Let l(n) = 3*n**2 + 7*n - 6. Give -7*d(k) - 4*l(k).\nAnswer: 2*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**4 - 3*h**4 + 0*h**4 + (-2 + 2 + 2*h)*(5*h**3 + h**3 - 4*h**3) - 65*h**3 + 202*h**4 + 201*h**4 - 400*h**4.\nAnswer: 6*h**4 - 65*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 7*k**2 + 12*k - 10. What is the smallest common multiple of u(6) and 4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/4 - 5*a**3\/4 + a**2\/4 + 5*a\/4.\nAnswer: -a*(a - 1)*(a + 1)*(a + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3644969, -3644845, -3644721, -3644597?\nAnswer: -3644473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50 - 42 + 34)*(-3 - 4*y**2 + 3).\nAnswer: 232*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102 - -119. Find the second derivative of -h*t + 10*t - 14*t + 32*t**2 - 13*t wrt t.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -12*k**2 + 27*k + 466. Let g(j) = 7*j**2 - 14*j - 233. Let v(x) = 4*c(x) + 7*g(x). Differentiate v(p) wrt p.\nAnswer: 2*p + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 1 = x - 8, -2*x + 12 = 4*a. Let m be (14*2 - a)\/(-1). What is the units digit of 135\/m*-1*5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000121000 (base 3) in base 11?\nAnswer: 14127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/8864 and 31\/23680.\nAnswer: 6559360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hoh when three letters picked without replacement from {n: 6, i: 1, v: 1, h: 3, o: 2}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/156)\/(2 + 25\/(-12))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-26)\/(((-4)\/(-6))\/(-1)). Suppose -u = -5*o + p, 2*o - 30 = -3*p + 7*p. Solve -4*l - i = 18 - 5, i = -2*l - o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -366\/151 >= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*d, i + d + 12 = -7. Let v be 15\/i*(49\/20 - 2). What is the second biggest value in -1\/3, v, -3\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56*n**2*t**2 - 19*n**2*t + n*t**2 + 2*n*t wrt t.\nAnswer: 112*n**2 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4 + (sqrt(343)*-2 + sqrt(343) + 1 + -3 - (((sqrt(343) - (-1*sqrt(343) + 2)) + sqrt(343) - sqrt(343)) + 0 + sqrt(343)*2)) + 2)**2.\nAnswer: 8575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -44*q**3 + 20*q**2 + 6*q - 4. Let m(n) = -3*n**3 + 2*n**2 + n - 1. Calculate -l(f) + 11*m(f).\nAnswer: 11*f**3 + 2*f**2 + 5*f - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 2*p + 73852, -559*p + 555*p - 18470 = -f. Is 102 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 801, 26, -211, -1, -3 in increasing order.\nAnswer: -211, -3, -1, 26, 801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -19. What is the closest to -3 in q, -2\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/(h\/(h*h\/((h\/h**(6\/5))\/h)))*h\/((((h**(2\/17)*h)\/h*h)\/h)\/h)*((h\/h**(-1))\/h)**30 assuming h is positive.\nAnswer: h**(3067\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -44, 137 in decreasing order.\nAnswer: 137, 0, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 96*n - 92*n - 12, -t = -2*n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.75 times 6\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11540 - -12403. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fourty-one halves of a second?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 230835149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*v - 150 = 66*v. Suppose -16096 = -v*t - 4696. List the prime factors of t.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -30*m**2 - 25*m + 191. Suppose 35*x - 102 = 29*x. Let t(q) = -10*q**2 - 9*q + 64. Let g(o) = x*t(o) - 6*h(o). Differentiate g(z) wrt z.\nAnswer: 20*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7040 + -6960)*((-4)\/16 + 0)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2110 + -101132212?\nAnswer: -101130102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1226480 rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f + 5*u = -32, -3*f - 48 = -3*u. Let i = 30 + f. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 4:13 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*9\/((-18)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23889611 - 15537611. What is i rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 3*z + 6 + 9 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 t when three letters picked without replacement from btiaftfbiabttafibba.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4 + 9*r - 5*r + 0*r**3 - 2*r**3 + 3*r**3 - 6*r**2. Let c be u(5). What is the remainder when 2 - 4 - -5 - c is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.906 take away -85.346717?\nAnswer: 86.252717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*u + 113*u + 2438 = 0. What are the prime factors of u?\nAnswer: 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2)*q**(2\/11))**(1\/19)\/(((q\/((q*q*q**(-6))\/q))\/(q**6\/q))\/((q*((q*(q\/q**2)\/q)\/q)\/q*q)\/q*q)**(-1\/2)) assuming q is positive.\nAnswer: q**(-108\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 - -24) + 5 - (0 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 4*d + 52 = 0, 0*d + 20 = -5*p + 4*d for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 5*p**2 + 4*p + 2. Let t(v) = -v**2 + 7*v - 2. Let n(j) = -j**2 + j + 1. Let c(y) = -2*n(y) + t(y). Let i be c(-5). Determine l(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-104)\/(-24) + 3 + 430\/(-105)*-7.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96 + -102. Find the common denominator of 6*l\/24*(-44)\/21 and 33\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 44*k - 167. Calculate the least common multiple of 1035 and g(-48).\nAnswer: 5175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6137, -12270, -18403, -24536, -30669, -36802?\nAnswer: -42935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9*((-153)\/(-3) - -1). Let n = -278 + g. Suppose 3*h + 2*h = 380. What is the greatest common divisor of n and h?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*m + 2353 - 2213 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140023213 (base 5) to base 2.\nAnswer: -10101100000100101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 25*-17.62\nAnswer: -440.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 20, 2*o = 3*h - 0*o - 308. What is the smallest common multiple of h and 848?\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-21)*5 + 12\/(-84)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h. Let v be c(-1). Let i = 2297 + -1442. Let o = i + -851. Sort o, v, -14.\nAnswer: -14, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuc when four letters picked without replacement from {x: 4, c: 4, k: 3, u: 8}?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 k when three letters picked without replacement from zddddztzkdzdk.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*q = -21, 2*l - q - 42 = -4*q. Suppose 5 + l = -v - 5*h, 0 = 3*v - 3*h - 12. Let g be (v\/2)\/((-8)\/64). Solve -i = g*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 751*m - 96947 + 6076 for m.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -30*i - 126. What is the nearest to -138 in -1\/6, -2\/9, 0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 4*q - 10. Let n be y(-6). Solve 0*d + n = -d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 20 = -28. What is u rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-35 - (-8 + -9))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -20*w + 41. Determine i(7).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4098 + 12696. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 19*q - 10*q - 8 - 7*q - 3*q. Let a be d(-7). Calculate the smallest common multiple of 6 and (-17)\/((-136)\/800) + (a - -3).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/40)\/(56\/(-1680)). Let p(b) be the third derivative of 1\/15*b**5 + 0*b + 0 + 2\/3*b**3 - 5\/12*b**4 - u*b**2. Factor p(h).\nAnswer: 2*(h - 2)*(2*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 2*h + 76 - 54, -3*f - 15*h + 30 = 0 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*k + 42 = -29, 0 = -x - 4*k + 52. Does 20 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 0*v + 4*v)*(2*v**2 + 2*v - 2*v + (4*v + 0*v - 2*v)*(5*v - 11*v - 8*v) + (-v + 0*v + 0*v)*(v + 0*v - 2*v)).\nAnswer: -25*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/6*-3*-4. Let d = 167 - 95. Suppose 5*y = q*y - d. Solve 2 = j, -z + 2*j - y = 4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3569.8 + -3573. Which is the second biggest value? (a) -0.4 (b) -3 (c) -7 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 33*d - 231. Let f(x) = x**2 + 7*x + 6. What is f(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 3*f + 10. Let u be b(-3). Let c(i) = i**2 - 11*i + 11. Let o be c(u). Let p be (-138)\/(-1 - o)*(-2)\/3. Which is bigger: p or -47?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -k + 53, 26*n = 24*n + 5*k - 1. Let p be (-1504)\/329 + (n\/14)\/(-2). Which is the third biggest value? (a) p (b) -28 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/130 - 74\/(-26). Solve 0 = b*a + 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -361 + 393. Let t be -5 + d\/80*(-25)\/(-2). Solve 3*q - 19 = -5*n, -2*n = 3*q - t*n - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 7 - -4 - 1 - 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) -2\/9 (c) 0.5 (d) -2\/31 (e) 0 (f) 174\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48989571601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*p - 2 = p, -3*r - 3 = p. Let v be (4\/(-142))\/((-5)\/(-10)). Is v <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0. Let v = 2499 + -1857. Suppose 0*u - v = -5*g - 2*u, -2*u + 2 = k. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 7*a. Let k be -1*3*-3 - a. Let z(q) = q. Does 9 divide z(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48001639931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3611, 3604, 3593, 3578?\n\"Answer: -2*u**2 - u + 3614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -27*u**2 + 2*u + 1. Suppose 11*b - 6492 + 970 = 0. Suppose 11*h - 1239 = -b. Let k = 66 - h. Calculate a(k).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**11*b\/b**(2\/13))\/(b**0*(b**(-3)*b)\/b) assuming b is positive.\nAnswer: b**(-80\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6758346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 10. Let g(a) = 2*a**4 - 4*a**2 + 4*a - 3. Let n(f) = -f**4 + f**2 - f. Let y(k) = o*n(k) - g(k). Differentiate y(w) wrt w.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 5*o - 5. Let h be l(-6). Solve -m = -3*m + j - h, 0 = 3*m + j - 11 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15007, 14676, 14341, 14008, 13683, 13372, 13081?\nAnswer: 12816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4 - 7*p + 5*p**2 - 2 + 13*p**3 - 2 + p. Let s be d(-6). What is s rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + (-92)\/(-24))*-2. Let g be -7 + 28\/3 - 1\/1. Determine x, given that -f*x**2 + g + 0*x = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-6)*(-6 - (-30)\/4). Let b be 174\/(p - -8) - -1. What is the highest common divisor of 120 and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19848193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 16625, 16670, 16745, 16850?\n\"Answer: 15*q**2 + 16610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2d729 (base 14) to base 8\nAnswer: 336371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/(-6) + (-2)\/6. Suppose 5*p = -j - 68, -4*p + 3*j - 2*j = 58. Let y be p\/(-6) + 1\/(-3). Solve -l - 21 = -4*w, -d*l - w - y = -5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 9. Suppose -40 - 8 = -4*h. What is the greatest common factor of h and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (30\/4*(-856)\/535 - -36)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3ba8a7 + 6?\nAnswer: -3ba8a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 955600 to the nearest ten thousand.\nAnswer: 960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, r: 3, m: 1, k: 2, y: 4}. What is prob of sequence mk?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11005, 22354, 34093, 46222, 58741?\n\"Answer: 195*d**2 + 10764*d + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7*u. Let f(i) = -20*i**2 - 14. Let k(g) = -7*g**2 - 5. Let h(m) = -5*f(m) + 14*k(m). Calculate n(h(p)).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 - 17*q - 44. Give s(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -57, -74, -71, -42, 19, 118, 261?\nAnswer: 454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 1. Let x(d) = 5*d - 4. Suppose 0 = 5*j + 4 - 9. Let r(t) = j*x(t) + 6*l(t). Let n(q) = 2*q + 1. Calculate 11*n(g) - 4*r(g).\nAnswer: 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 2*p - 6. Let q be (3 - 0)*1\/(-1). Let k = q - -9. Let m(g) = -1. What is k*m(r) - u(r)?\nAnswer: -r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-171)\/399*(2 + (-160)\/75)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in 5, -15.5, 0.4, 0.06, 1\/7, 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204, 842, 1928, 3468, 5468, 7934, 10872, 14288?\nAnswer: 18188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 690768 a multiple of 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6207 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: Simplify 1*(sqrt(32) + ((sqrt(128))**2 + sqrt(32))*3).\nAnswer: 16*sqrt(2) + 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 951809*x*z**3 + 98305*x*z**2 wrt z?\nAnswer: 5710854*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.34 (b) -0.0706 (c) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -24333 divided by -94\nAnswer: 24333\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 2\/7, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 178316 and -332612.\nAnswer: -154296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 7:15 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -420 + 416. Suppose -5*y - i = 8, -i = 4*y + 2*i + 2. Sort -3, s, y in decreasing order.\nAnswer: y, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -137*c + 179. Is z(-5) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(60)*1)\/(4*sqrt(84)\/sqrt(7)))**2.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -34128812.13 rounded to the nearest ten thousand?\nAnswer: -34130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.0581 + 0.0581. Which is the smallest value? (a) 0.05 (b) 2\/357 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**2 - 104613*z - 26790462 = 0. Calculate z.\nAnswer: -34613, -258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 701*i - 2139 = -643*i + 1437*i for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5709, 5767, 5825, 5883?\n\"Answer: 58*x + 5651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -173706 < -173703?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 + 4*o + 7. Let f be u(5). Suppose -3*h = -7*h. Suppose h = w - 4*w + 33. What is the greatest common factor of w and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 1 - -12 - -1) + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 20*s**2 - 33*s - 53. Let v be g(18). Calculate the common denominator of ((-5929)\/224)\/7 + v and 23\/112.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2286840*p**2 - 2*p**3 - 2286840*p**2.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -10*g**3 - 6*g**2 - 16*g - 64. Let x be i(-4). Calculate the greatest common factor of 16 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 4, -2*o = 4*q - 4*o + 18 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.01 - 0.29. Let r = 1 - 2. Let d = -25.6 + 26. What is the nearest to 0.1 in s, r, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3478 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: Simplify ((1*sqrt(171) - sqrt(171))*-3 + sqrt(171) + sqrt(171))\/(-2*sqrt(576)).\nAnswer: -sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25299114?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1209 = 6*a + 1209 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cck when three letters picked without replacement from hhkkckhkkhkchhkck?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 563 + -329. Does 35 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01079553 rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 64.31 from -1.21.\nAnswer: -65.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 181.\nAnswer: -1\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6820 divided by -1364\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n - 16. Let g be b(-6). Solve g*f + o - 3 - 1 = 0, 2*f - 4 = o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13\/5 (b) 2415 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*q + 12 = 0, 3*q - 47 = -m - 15. What is the lowest common multiple of 314 and m?\nAnswer: 3140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/7881 and -35\/18?\nAnswer: 47286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 10*s**2 - 7*s - 11. Let a(q) = -q**3 - 3*q**2 + 4*q - 3. Let y be a(-4). What are the prime factors of o(y)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cnhhncnhhnhch. What is prob of picking 1 c and 2 n?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -27. Suppose 0 = 3*q + 2*o - 3, -q - 4*o = -18 + y. Which is the fourth smallest value? (a) 2 (b) -0.1 (c) 2\/13 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216400 is divided by 26717.\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5455435305 + 5?\nAnswer: 5455435313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37457952?\nAnswer: 2, 3, 7, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 261714.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3854246 + 54*a**2 + 3267*a**2 - 3854242 to p + w*a**2 + v*a and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9}. What is prob of sequence bbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 124785\/16 - 7803. Find the common denominator of f and -101\/304.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 26*b**4\/3 - 2*b**3 - 903*b**2 - 2*b - 725. Differentiate d(j) wrt j.\nAnswer: 208*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90266*w - 90268*w + 28 = -5*a, -3*w = 4*a + 27 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -200, -198, -196?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2328 and 36?\nAnswer: 6984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58044 by -1.\nAnswer: 58044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 2*k - 5. Let r be f(-5). Let g be (-4)\/20 - (-2)\/r. Suppose g = 10*u - 6*u. Solve u = s + 2*s + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57026.3932 rounded to the nearest 10?\nAnswer: 57030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*l + 4*k, -2*l - 2*k = -3*k - 14. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5*h**2 + 7*h. Let g(a) = -14*a**2 + 20*a. Let x be (-540)\/138 - 12\/138. Let f be ((-44)\/(-6))\/(x\/6). Give f*z(b) + 4*g(b).\nAnswer: -b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1177 + 1178 = 157*s for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**3 - 4*v**3 + 2*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/6 + (-16)\/(-24).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0144435 * 0.3.\nAnswer: -0.00433305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from niyhn. Give prob of sequence hni.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6169993493551\/162642953 + 1\/14785723. Let m = i + -175261423\/4620. Find the common denominator of 29\/20 and m.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 14*r - 5625. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*4\/(-12)*-9. Let u(q) = -4*q + s*q - q + 3*q. Let k(t) = 3*t. Let h(o) = -o. Let d(p) = 5*h(p) + 3*k(p). Determine u(d(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 373 + -313. Let n = -22 + 46. Calculate the greatest common factor of g and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 2. Let f be x(-2). Let h(b) = 5*b + f*b - 3*b + 6. What is h(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14732620 and 783650?\nAnswer: 73663100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 11, a: 5}. Give prob of picking 4 a.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -11029, 19, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -93959\/23 - -4093. Which is greater: -1\/3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fu when two letters picked without replacement from ffffffxfxfxfxxffxfu?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -16. Let q = 6 + 5. Let k = q + j. Solve 18 = k*g + y, -4*g + 5*y = g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1874 - 1908 - (-1 - 20)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184, -698, -1638, -3094, -5156, -7914, -11458, -15878?\nAnswer: -21264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 1. Let s(a) = -7. Let p(o) = -7*l(o) + s(o). Let j(k) be the third derivative of 0 + 18*k**2 - 1\/12*k**4 + 0*k**3 + 0*k. Determine p(j(i)).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 3 = 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 - 17 = 16*u. What is the remainder when 75 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a week in hours?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n - 41. Let z be w(-12). List the prime factors of 832\/10 + (-1 - 4\/z).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/3 + (-2)\/1. Suppose -54 = -y*z + 24. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1954*y - 4*y**3 + 2279*y + y**3.\nAnswer: -3*y**3 + 325*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -387 + 395. Suppose 5*o + 7*o = m*o. Solve o = 3*g - 13 - 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 22*t**2 - 2*t - 39. Let a be o(-22). Suppose a*q - 283 = -2*x + 160, -179 = -2*q + x. Let z = 96 - q. Solve 0 = -2*d + z*d - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 33 = b + 90, -3*u = b - 77. Suppose 2*h = 7*h - u. Suppose 0 = 3*f + h*p - 24, -p - 2 = -4*f + 30. Which is smaller: f or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 42607 and -2.\nAnswer: 42605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 34*i + 40. Let q be b(2). Let g be ((-24)\/18)\/((-88)\/q). Determine u so that 12\/11*u**2 - 16\/11*u**3 + g*u - 12\/11*u**4 + 0 - 2\/11*u**5 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 26*p**2 + 30. Let s be j(26). Let k(l) be the first derivative of s - 14*l + 1\/2*l**2. Give k(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14907393*j**4 - 10609613*j + 2?\nAnswer: -178888716*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 minus -117215?\nAnswer: 117215.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 + 71. Let k(h) = -h**m + 721 - 721 - 12*h - h. Is 36 a factor of k(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112638, 112637, 112636, 112635?\nAnswer: 112634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.22 - -6.82. Sort -0.5, -1\/8, -4, c.\nAnswer: -4, -0.5, -1\/8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*156.126\nAnswer: -312.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 5*s + 3 = 12*x, 5*x + 2*s = -21 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*x**4 + 178106*x**3 - 2*x**2 + 1929*x + 21 wrt x.\nAnswer: 264*x + 1068636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 358 = 4*k + 378 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 10*g**2 + g - 7. Let f be b(10). Let p = f + -9. What is the least common multiple of 56\/16*(-2 - p) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4 = -7*n. What is the second smallest value in -4, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/4 - 687*w**2\/4 - 1915*w - 3141.\nAnswer: (w - 698)*(w + 2)*(w + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 6*g**2 + g - 3. Let i be r(6). Let x be -14*((-19)\/(-7) + -3). What is the first derivative of -b + 0*b - i*b + x + b wrt b?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + 2*y**2 + 4*y - 4*y)*(-4 - 2 - 3) to m + z*y + p*y**2 and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/7)\/(k\/(k\/(k**4*k))))\/((k\/k**3)\/(k*(k**(2\/5)*k)\/k)) assuming k is positive.\nAnswer: k**(-71\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 21*x + 155, -7*i + 5376*x - 5377*x - 7 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(-12\/11)\/x))\/x**(-7\/2))**(-8))**(1\/18) assuming x is positive.\nAnswer: x**(-290\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 70 + 66 = 0. Let z(a) = -a**3 + 2*a**2 - 2. Let p(v) be the second derivative of v**5\/5 - 3*v**4\/4 + 9*v**2\/2 - v. Calculate k*p(o) - 9*z(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 - -55. Suppose 0 = 3*t - 3*q - 15, 10 = 4*t - 2*q - 18. What is the remainder when (-9)\/(-6)*204\/t is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**5 + 932*t**4 + 13424*t**3 + 7804*t**2 - 59598*t + 37440 = 0.\nAnswer: -13, -3, 1, 480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 (base 16) in base 6?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -30199535 times 0.06\nAnswer: -1811972.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 14*o = -201, 61*s - 41*s - 33*s + 1038 = 5*o for s.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108 + 56 + 52 - 767*f**2.\nAnswer: -767*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -308, -392, -476, -560?\nAnswer: -644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**3 - 4*d**2 - 4*d + 2. Suppose 0*t + 4 = t. Let r(a) = 2*a**3 - 3*a**2 - 3*a + 1. Suppose -11 = 3*v - 2. Give t*r(y) + v*s(y).\nAnswer: -y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 0)*(0*b - b + 2*b) + 5 - 5 + 2*b + 0*b + 2*b - 3*b + (2*b - b + b)*(-1 - 1 + 1))*(-25*b**2 + 25*b**2 + 40*b**2).\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*-1 + -1 - (sqrt(245) + (sqrt(245) - 2*sqrt(245)) + 5))**2 + -2.\nAnswer: 84*sqrt(5) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10160?\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.4 and 686.\nAnswer: 684.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 384*h**3*q + 1885*h**3 - 4*h**2 + h + 50*q**4 wrt q?\nAnswer: 384*h**3 + 200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 16*x - 13*x. Solve -2*l - 4 = -2*u, 11 = x*u - 2*l - 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21\/4? (a) -1 (b) -1.8 (c) -0.3 (d) 1 (e) 6\/13 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3*f - 8. Let d = 11 + f. What is the first derivative of 3*b**3 + 4*b**d - 1 - 5*b**3 wrt b?\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 225 and 404.\nAnswer: 90900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**12\/(h**1*h) assuming h is positive.\nAnswer: h**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6775*-46.1.\nAnswer: 312327.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 327. Let t(p) = 121*p - 68*p + 168*p + k*p. Let c(y) = -2*y. Determine t(c(g)).\nAnswer: -1038*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 525749137 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1193515537*j**5 - 251*j - 363600?\nAnswer: 23870310740*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2876127 and 1752?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-32 - -24)\/(4\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4420840.47999916 + -4420841. Let u = 0.09 + -0.61. Let w = u - a. Round w to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383661 is divided by 11626.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 34 + 17116*g + 30813*g.\nAnswer: 47929*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*a - 3802 = -86*a + 751 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89 - -88.808. Is -0.1 <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gun when three letters picked without replacement from {u: 5, n: 1, g: 7}?\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 30 = 90. Solve -3*b + b + 6 = 0, -3*r + 5*b - x = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3143888917 and -6.042.\nAnswer: 3143888910.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 113217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370793097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*((-740)\/(-15) - 4). Suppose -3*p - 8 = -5*p. Suppose 0 = p*h + 4*k - z, 5*k - 172 = -5*h + k. What is the greatest common divisor of 12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 4*c + 8. Let x = 30 - 36. What is o(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, 0.37, 3\/371?\nAnswer: 3\/371","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113078 is divided by 112196?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -359*k + 1. Let b be r(-1). Let m be (2\/(-4))\/((-3)\/b). Suppose 0 = 6*c - c - m. What is the remainder when 45 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -618 - -613. Let k = 4.61 + -0.61. Sort t, 1\/30, k, 1.\nAnswer: t, 1\/30, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37460.98 grams in nanograms?\nAnswer: 37460980000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b**2 + 3*b**2 + 0*b**2)*(b + b - 3*b) in the form h + c*b**2 + s*b**3 + t*b and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**5\/4 + q**3\/6 - 2*q**2. Let m be a(-1). Suppose -b = -0*b - m. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**4\/24 - 2*p**2. Let h be i(0). Suppose -5*q + 45 = -h*q. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 - 8.4. Let t be 1 + 1\/(-3) - 0. Which is bigger: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67699603 and 9842?\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 58?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 14108600 to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -m + o + 1, -4*m - o = -11. Suppose 4*u - 44 = -m*q, -3*u + 5*q + 5 - 1 = 0. Let a = u + -3. Calculate the least common multiple of a and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46 + 48 - 795*d + 2421*d to the form w*d + z and give w.\nAnswer: 1626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**3\/9 + 21208*n**2\/3 - 31255044*n + 218329766480\/9 = 0 for n.\nAnswer: 980, 7463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*x + 84*x - 159*x)*(-2*x**3 + 4*x**3 - x**3) + 2 - 2 - x**4.\nAnswer: -46*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**4\/8 - 21*h**3 + 1581*h**2\/8 + 2712*h + 5760 = 0 for h.\nAnswer: -5, -3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 12 = 3*v - 3*p, -2*v - 2*p = 4. Suppose -2*n - 28 = -4*n. Let r be 46\/n - (-2)\/v. Solve l = r*l - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*f**2 + 31*f**2 + 149*f**3 - 106*f**3 wrt f.\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5708039\/4 or -1427011?\nAnswer: -1427011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q + 6*q + q = 5*n - 5*q - 0*q, 32*q = -2*n - 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 0 + 3*w**2 + 12*w + 1\/6*w**3. Let o be k(-3). What is the highest common divisor of 36 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6118.845 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/17989 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1490, 4, -1, 1.\nAnswer: -1490, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 1, 5*r - 3*a + 104 = -7*a. Suppose 0 = x + 4*x - 25. Calculate the remainder when 14*-2*x\/r is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -737a32 - -3?\nAnswer: -737a2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 1\/12*r**4 - r + 0 + 0*r**2 + 0*r**3. Let c(d) = -2*d**2 + 0 + 0. What is p(c(w))?\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 251\/5 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*v**2 - 22 - 83*v**2 + 22.\nAnswer: 13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 9. Suppose -12 = -3*m, 9 + 19 = s + g*m. Suppose -3*a = -81 + 66, -3*a - 81 = -3*z. What is the highest common factor of s and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 23\/6 of a minute?\nAnswer: 230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/(-38))\/(189\/(-4788))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11280 + -11270 - (0 + 55)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2577045 by -5.\nAnswer: -515409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*k + 7 = 0, -4*f - 1 = -k - 9. Let v = 0.0161 + -0.1461. Which is the nearest to v? (a) -2\/3 (b) 4\/5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 538 = -134. Suppose i = 2*p - 196, 0*p - 3*i = p - l. Is p a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3451, 3449, 3445, 3439, 3431, 3421?\n\"Answer: -k**2 + k + 3451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 419757 - 839497 + 419740 - 5*f**3 + 15*f**3.\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h - 35. Let z(v) = -15*v**2. What is z(t(p))?\nAnswer: -60*p**2 + 2100*p - 18375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 150407 - 91383. List the prime factors of k.\nAnswer: 2, 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-18) + (-2)\/(-9).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -49*w + 11. Suppose -2*z = 3*r - z + 14, -4*r = z + 20. Is p(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 196 + 6\/(-3) + 1. Suppose v - w = -2*v + 3*g, -4*v + 288 = 3*g. Suppose 96 + v = 5*s. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/8*(-156)\/(-13)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*j - 8 - 122, 4*w + 3*j = 106. Solve -4*c = -11*c + w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -2193 not equal to -663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 96120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.42 or -0.0728?\nAnswer: -0.0728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s - 10*s + 17*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.117 + -0.177. Let b = l - -0.0647. Round b to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 13*u**2 - 30*u + 93. Calculate the remainder when 869 is divided by q(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2960473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4297*m = 5*q - 4299*m + 27, 0 = 4*q - 4*m + 48 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*q = 10, -5*q = -p + 1 + 11. Suppose -x = -5*l + 2, -p*l = -x + 3*x - 8. Which is the second smallest value? (a) 25 (b) l (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75 - 73. Suppose -5*b + 3*c - 4*c = 105, 3*b + 4*c = -63. Let n = 41 + b. Solve -3*p = l*p - n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 862 + -659. Suppose w = 15*f - 247. What is the remainder when 153 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) 0.3 (c) 2 (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ytvtttpzttttttt. Give prob of sequence ytp.\nAnswer: 11\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-9 - (-4 - 1) - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 18*p**3 + 157*p**2 + 89*p - 63. Determine u(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -29*o**5\/5 + o**4\/6 - o**3\/6 - o**2 + 5*o + 5. Let v(n) be the first derivative of a(n). What is the units digit of v(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 2*l + l + 21, 5*l = 3*f - 31. Solve s + f = -3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24460 - 24012. What is the greatest common divisor of o and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 49*y - 108. Determine q(50).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -16. Suppose -9*j - 5*h - 34 = -12*j, 3*h = 2*j - 23. Suppose 0 = v + q - j. Solve 1 = -0*i + i + 2*p, -2*p - 19 = v*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -42*j + 39*j - 53313, j - 71094 = -4*r. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25313949 to the power of 1\/4, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10950, -21892, -32834, -43776, -54718, -65660?\nAnswer: -76602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18 (b) 3 (c) -153 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 2)*(-2*t + 2*t + 2*t) - 21 + 8*t + 21.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6232 + -76.\nAnswer: -6308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**2\/7 + 555*t\/7 + 4376\/7 = 0. What is t?\nAnswer: -547, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.663526 micrometers to nanometers.\nAnswer: 7663.526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 6*b + 41. Let d be x(-7). Is (2*-5830)\/(-5) - d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51 and 901.\nAnswer: 2703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*((d\/(((d\/d**1)\/d)\/d))\/d)\/d)**(-25)*d**(-9\/2)*d*(d\/d**9)\/d)**16 assuming d is positive.\nAnswer: d**(-1000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59 + 119. Let l = -1382 - -1337. Let o = c + l. Calculate the greatest common divisor of 165 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.143*-9.\nAnswer: -1.287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/8*(-16)\/(-1 + -1). Suppose c = -2*h - 4, 0 = t + h - 13. Does 15 divide (t\/(-15))\/(357\/120 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbvbiibbixv. Give prob of picking 1 x and 1 v.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 987 is divided by 315.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 19*i**2\/2 + 4*i - 12. Let v be x(1). Suppose -p + 5 = -o, o = -5*p - 10 + v. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 185 + -220. Let p = 37 + i. Sort 5, p, -3, 3 in decreasing order.\nAnswer: 5, 3, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/3))**(-2\/9))**(-45) assuming a is positive.\nAnswer: a**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -564935, -1129883, -1694831, -2259779, -2824727, -3389675?\n\"Answer: -564948*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 6. Let c be 22\/y - 2\/6. Let d(f) = -5*f + 4. Let k(b) = -11*b + 9. Let z(u) = c*d(u) - 3*k(u). Calculate z(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, a: 2, e: 1, s: 1, v: 1, q: 1}. Give prob of sequence vq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 21) + 142 + 2 + -6 + 17?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 2, -196?\nAnswer: -196","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 5*s - 21 = 0. Let f(a) be the first derivative of 4*a + 1\/3*a**s - 7\/2*a**2 - 1. Calculate f(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -74 - -21?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 10 = 3*i + 8, 8 = -4*i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1294926*s + 1294875*s + 181 + 74 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -250 + 247. Let m = -0.04 + -3.96. Sort 1\/8, m, j in descending order.\nAnswer: 1\/8, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 17122830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*s - 383*s - 11527 = 298*s + 17123 for s.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 + 155*p**3 + 1800*p**2 + 9280*p + 17920.\nAnswer: 5*(p + 7)*(p + 8)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o - 3*o - 1030*o**2 - 2*o.\nAnswer: -1030*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 299746494?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 151*r**2 + 12*r - 5. Let j be y(-5). Suppose 7*z + 0*z + j = 0. Let p = z + 772. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*l**3 - 57*l**2 + 48*l + 12.\nAnswer: 3*(l - 2)**2*(5*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 9*p**3 + 3. Calculate d(2).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 908208 and 5743080?\nAnswer: 195264720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k**3 - 11*k**2 + 31*k + 310. Give g(-6).\nAnswer: -1352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c5833 (base 15) to base 12.\nAnswer: 875379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 + -5 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 36. Let a = 36 + o. Solve a*b + 0 = -20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4400, -5129, -5862, -6599, -7340, -8085?\nAnswer: -8834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 153582 and 255970?\nAnswer: 767910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**(-2\/17)\/(y**(-8)\/y**(-4\/7)))\/(y**(-3\/14)\/(y*y*y*y**(-12)\/y))**(2\/45) assuming y is positive.\nAnswer: y**(2203\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5 - 1 - m**2 + 6. Let g(k) = 12*k. Let r(f) = 12*f. Let z(b) = -4*g(b) + 3*r(b). Calculate j(z(d)).\nAnswer: -144*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**5\/7 + 477*w**4\/7 + 961*w**3\/7 - 1433*w**2\/7 - 1920*w\/7 + 1916\/7 = 0 for w.\nAnswer: -2, 1, 479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-4 + 0) - (-1 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, m: 1, p: 1, l: 1}. Give prob of sequence uml.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) 5 (b) 0 (c) 4 (d) 7 (e) 222749 (f) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4553 is divided by 99?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6)*w**(-1\/5)*w)\/(w*w**(-2\/23)*w**7*w*w) assuming w is positive.\nAnswer: w**(-1738\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 12. Let x(b) = -4 + 4 + p + b. Give x(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbbbkqbbkbb. Give prob of picking 2 q.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 1839032*f + 845509674256.\nAnswer: (f - 919516)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (102 - 29 + 26)*(20 - 23 + 69)*(2*u + 0*u - 4*u).\nAnswer: -13068*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3402665 divided by 7\nAnswer: -486095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 162, 240?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/2 and 59\/1032.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2*r)**(-1\/24)*r**0*r**(-5)*r*(r*r\/(r*((r*r\/(r*r\/((r\/r**(-3))\/r)*r*r*r)*r)\/r)\/r)*r\/(r*r**(-4\/7)))\/(r**(1\/2)\/r)**(3\/14) assuming r is positive.\nAnswer: r**(-81\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90833*g**2 - 729 - 4*g**3 - 90833*g**2 to the form i + k*g**3 + h*g + d*g**2 and give i.\nAnswer: -729","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 611?\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 18. Suppose 1 + n = 4*u - 2*q, -2*u = -2*q + 2. Let j be (u\/(-6))\/((-9)\/108). Solve j - 2 = -4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 78 + 2 = 4*l, 4*l + 57*f + 68 = 59*f for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/((-2090)\/(-1925))*(6\/3)\/(-2)*-1\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 5 = -5*s. Suppose -915*d - 20 = -910*d. Is 22 a factor of 0 - (s - d)*-110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*(sqrt(2057) + sqrt(2057)*-3)**2.\nAnswer: -41138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/5, 0.279, 5, 55?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 10. Let u be ((-3)\/(-9))\/(d\/9). Let h(w) = 1. Let p(j) = 3*j - 3. What is u*p(m) - 3*h(m)?\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 43064 divided by -4?\nAnswer: -10766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - -27. Let d = c + -50.42. Let k = d + 0.07. Round k to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1110120312 + -4?\nAnswer: -1110120321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.01 (c) 3895982 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 10*w = 156. Factor -17 - 7*a + w - 7*a + 8*a**2.\nAnswer: 2*(a - 2)*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8626.19369 * 5\nAnswer: -43130.96845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26869103?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -3295633893616?\nAnswer: 3295633893618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11602064 is divided by 1234.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3088639 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 33, 74, 141, 240, 377, 558, 789?\nAnswer: 1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**18\/((x\/(x**(-7\/3)\/x))\/x*x) assuming x is positive.\nAnswer: x**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -8*w + 9*w + 22, 3*w = 15. Suppose k*h - 96 = 5*h. Solve -g = -7*g + h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -265 greater than or equal to -268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/(-36)*3*45\/(-30). Solve 3*q + i*q + 40 = 3*d, 0 = -q + 5*d - 30 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/324 and 77\/96.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7430 + -7429.89861. What is a rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 2. Let v be ((-6)\/(-4))\/((-2)\/(-4)). Suppose 2*h = 1 - v. Let y = 1 - h. Determine b(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2.319869 days?\nAnswer: 200436681600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*w + 16*w - 5*w**3 + 4*w wrt w.\nAnswer: -30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 10678354*f - 10678352*f + 1.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*p + 16 = 0, -3*p = -2*g + 6*g - 9. Solve 0 = -3*c + 2*c + g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 824 a factor of 15084144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 - 113 - 12*d + 3*d + 9*d to the form s + m*d + y*d**2 and give s.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 887 = -25. Let o = 1717\/3 + -574. Which is the smallest value? (a) v (b) o (c) -3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**5 - 4271376*k**4 - 12814083*k**3 + 25628286*k**2 + 119598348*k + 102512808 = 0. Calculate k.\nAnswer: -1423789, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p + 1. Let s be x(1). Suppose 2*z + 3*r = z - 125, 4*r - 568 = 5*z. What is the tens digit of 2\/s - z\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + 52189*s**3 + 0*s - 1585703*s**3.\nAnswer: -1533514*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 5)*(-3*r**3 + 12*r**3 - 6*r**3) + 20*r**3 - 42*r**3 - 33*r**3 in the form y*r + j*r**2 + g + i*r**3 and give i.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 0.3 (c) 2\/11 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 153*d - 1 + 3.\nAnswer: 153*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/56 + 846\/21. Let a = g - 27. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 10:28 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 322.077 + 7.7?\nAnswer: 329.777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4796492?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 31*v**2 + 44*v**2 - 87*v**2 - 48.\nAnswer: -12*v**2 - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.56 and 4007?\nAnswer: 4007.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 923 and 2798749?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 2*b - 2*p, -5*b + 1071*p + 55 = 1068*p for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -0.4, -30\/89?\nAnswer: -30\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 948*m**3 - 1632*m + 927*m**4 + 2552*m**2 - 947*m**4 + 1152*m**2 = 0.\nAnswer: -4, 0, 2\/5, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432863969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-1)\/(-4) + 7\/(-28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 60 = -2*a, 7*a = 2*s + 3*a. Let o(v) = v + s - 10 - 2*v. Let j(n) = 4*n**2 - 50*n + 50*n. Determine o(j(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 + 5*v**2 - 128*v - 528.\nAnswer: (v - 11)*(v + 4)*(v + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 7*u - 3. Let d be q(-7). Let f be 3*(0 + (-4)\/(-36)). Which is the closest to -0.3? (a) d (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (47\/3)\/(6\/144*-4). Let n = 105 + x. What is the highest common factor of n and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 2*q**2 + 3*q - 4. Calculate t(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -544*h + 2. Let b(t) = -9*t**2 - 20. Let v(s) = 7*s**2 + 15. Let m(f) = -3*b(f) - 4*v(f). Give m(u(d)).\nAnswer: -295936*d**2 + 2176*d - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h + 2. Determine u(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5499531.\nAnswer: 3, 19, 29, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3992 + -6.3992. Let y = 1793\/9 - 199. What is the second smallest value in 3, g, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3632*j - 10921*j - j**2 + 3632*j + 3640*j.\nAnswer: -j**2 - 17*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 7:12 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u. Let p be f(1). Let r = 72709 + -72718. Put -1, p, -2, r in descending order.\nAnswer: -1, -2, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.27 and 0.067953.\nAnswer: 0.15425331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*s**3*v - 3581*s**2*v - 4*s**2 + s*v - 3*s + 13*v + 6988 wrt s?\nAnswer: 96*s*v - 7162*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 2205 = -f. Calculate the common denominator of 79\/4 and f\/14 - (-4)\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323*d - 334*d + 14586 = 0. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8184006 to the nearest integer?\nAnswer: 2861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (33\/231)\/((-2)\/7)*20\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1073*w**3 - 2473*w wrt w?\nAnswer: 6438*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 209624641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10)\/(-4)*10*2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, z: 4}. What is prob of sequence hhh?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**4\/3 - 4*g**3\/3 + 2*g**2\/3 + 4*g\/3 = 0. Calculate g.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(130)*5)\/(sqrt(50)\/sqrt(5)*4) - (3*sqrt(78)*3)\/(sqrt(60)\/(-1*sqrt(10))).\nAnswer: 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8777407*b - 40042620 wrt b?\nAnswer: -8777407","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1298202 or 1298203?\nAnswer: 1298203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q - 46*q - 585 = -12*q for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2 - 166*z + 1264 = 0.\nAnswer: 8, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -448 + 161 + 146 - 11535*p + 141 to the form z*p + n and give z.\nAnswer: -11535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + (sqrt(3) - (sqrt(3) + (sqrt(243) + -1 - sqrt(243)))) + 4*(sqrt(3) + (sqrt(84)\/sqrt(4))\/sqrt(7)))*3*3.\nAnswer: -216*sqrt(3) - 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**4 - 7*d + 7*d)*(-43218 + 43218 - 47*d).\nAnswer: 188*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8952, 17914, 26876, 35838, 44800, 53762?\n\"Answer: 8962*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 7:55 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546 = -80*h + 94 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/4587102 and -109\/47400054.\nAnswer: 142200162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + -4*sqrt(1216)*6 + (sqrt(1216)*1 - sqrt(1216)) + -5 + -3)*-3)**2.\nAnswer: 186624*sqrt(19) + 56736612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q. Let p(l) = -6*l**2 - l**2 + 9*l**2 - 5*l**2. Give p(y(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 201*q + 272. Let x(u) = -4. Let o(p) = -r(p) + 3*x(p). List the prime factors of o(-8).\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 192 - 69. Let n be 2\/(-8) + s\/(-4). Let o = n + 54. Calculate the remainder when o is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 7*q**2 - 6*q + 19. Suppose h + 8*h - 72 = 0. Let g be h\/(-12)*(-16)\/(-4)*-3. Is d(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 227545 at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2491 + 248?\nAnswer: 2739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*u - p, 0 = -p + 1 - 6. Suppose 2*h - 19 - 21 = 4*r, h - 32 = u*r. 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: Calculate the lowest common multiple of 40 and 400.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-40)\/(-5))\/8)\/(1\/25). Suppose h - 30 = -5*l. Calculate the smallest common multiple of l and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68857 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 4*q + 3*q)*(-157 + 1142 + 45 + 512 + 245).\nAnswer: 1787*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2698*l - 905*l - 825*l - 9 - 852*l.\nAnswer: 116*l - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w = -9*w + 133. Let g(o) = o**3 - 8*o**2 + 8*o - 3. List the prime factors of g(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17900442 divided by 8950221.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (140\/(-70))\/(3\/(-30)). What is the greatest common factor of 2810 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -4162?\nAnswer: -4160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*m + 2, 10*a - 8*a + 26 = 4*m. Let u = -0.1 + -0.9. Let h = -6\/73 + -250\/511. What is the third smallest value in a, u, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j**3\/5 - 72816*j**2 - 125256078*j\/5 + 35817172\/5 = 0 for j.\nAnswer: -25657, -349, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m**3 - 2*m**3 + 0*m**3)*(0 + 50 - 26) in the form a*m**2 + t + d*m + k*m**3 and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 0)\/(3*2\/4). Suppose 4*f + 0 = -3*c + 16, -2*c - 5*f = -13. Let i be b + c + 4\/(-2). Let k(z) = z**3 - z**2 + 4. Give k(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i**3 + 2*i**2 + 4*i - 1. Let k be m(2). Let a(b) = -20*b**2 + 11*b - 17. Let r(d) = -7*d**2 + 4*d - 6. Calculate k*r(o) + 6*a(o).\nAnswer: -o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**5 - 61*k**4 - 65*k**2.\nAnswer: 60*k**2 - 1464*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -199596 bigger than -199601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 + 28. Suppose -5*t = -b*z - 270, -3*z - z - 5*t = 252. Let g = z + 58. Which is smaller: g or -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73090, -73112, -73130, -73144, -73154?\nAnswer: -73160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) 3\/170 (c) 5 (d) 2\/13 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**6\/30 + 41*y**4\/12 - y**3\/6 - 71*y**2\/2 + 2*y - 11. Find the second derivative of f(x) wrt x.\nAnswer: 12*x**2 + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 106797352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 1638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + t + 1. Let u(w) = 23*w**2 + w + 4. Let z(r) = u(r) - 3*v(r). Is z(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a second in microseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*c - 9. Suppose 6*r - 4 = c*r. Differentiate -2*l**2 + l**2 + 0*l**2 - r with respect to l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -0.1, 2\/15, -0.011?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 10, l: 2}. What is prob of sequence vvll?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 136081, 136078, 136063, 136036, 135997?\n\"Answer: -6*s**2 + 15*s + 136072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 2*f**2 + 6. Let z be (2 + 9)*-2*1. Let n be (-33)\/z*4\/(-3). Let q(k) = -k - 1. Calculate n*q(d) - l(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 12:56 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 11) in base 7?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3025415 divided by -3.\nAnswer: 3025415\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68706848 and 7504?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 2540 = 10*n. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*p + 0*p**2 - 84*p + 60*p + 2*p**2 + 3528 = 0. What is p?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2662675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19854*o + 34811?\nAnswer: -19854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 3*z**2 - 34*z + 97. Calculate c(5).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 1231?\nAnswer: -1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4\/5*v**2 - 4\/5*v**4 - 2\/5*v**5 + 2\/5*v**3 + 0*v = 0. Calculate v.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 11\/6 + -5*5\/(-150)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4417148233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 2*r**2 + 2*r - 2. Let a be q(-3). Let d be 1 + 2 + -3 + 1. What is the greatest common factor of d and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2131 (base 7) in base 10?\nAnswer: -757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - 3.8. Let f = 586.4 - 586. What is the second smallest value in -0.2, 2\/3, v, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1210329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 2 - 2)*(-2 + 1 - 1) + 3 - 3 + 2 - 9 - 2 - 1 - 14 - 47 - 84 + 0 + 1 + 0)*(-2*x**2 - 6*x**2 + 0*x**2) to g*x**2 + a + b*x and give g.\nAnswer: 1216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1173 = -4*f, f - 2*k + 447 = 147. Let h = f + 527. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + v - 2*v + (-3*v + 0*v + 2*v)*(3 - 5 + 1))*(8*v**2 - 11*v**2 - 8*v**2).\nAnswer: -22*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 37*d - 14. Is f(15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l - 4. Let v be f(5). Let u = v + 12. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2\/13, 15.803 in increasing order.\nAnswer: -6, -2\/13, 15.803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**4 - 18193730*h**3 - 16550590565645*h**2.\nAnswer: -5*h**2*(h + 1819373)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 558, 2056, 4584, 8148, 12754, 18408, 25116?\n\"Answer: s**3 + 509*s**2 - 36*s + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -46454.18 times 1?\nAnswer: -46454.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4*(2 + 0 + sqrt(17)).\nAnswer: 4 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(36\/39) - (9 + 2002\/(-78))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2179)\/(-32685))\/(1\/(-3)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p - 5*p - 6*p - 21*p**3.\nAnswer: -21*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15570 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -168\/373 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -1 - (-19 - -13).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 8 = b. Suppose b*h = -0*h + 716. Let p = h - -6. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 + 32. Let p be 1359\/(-15) - 15\/(-25). Let j = i - p. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 5338022*p**3 + 5338005*p**3 - 2*p**2.\nAnswer: -17*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -2*d + 8. Let r = 5 - d. Let w = 3.3 - 0.3. Which is the third biggest value? (a) w (b) r (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50848288 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29519687*u**4 - 4266758 wrt u?\nAnswer: -118078748*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/4902 and 33\/344.\nAnswer: 19608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248*f - 84*f - 85*f - 79*f + 242*f**2.\nAnswer: 242*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/3 - (-4)\/(-6). Suppose 19 = -3*y - 29. Let m = 10 + y. Which is smaller: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-39)*d**(-2\/55))**(-3\/5) assuming d is positive.\nAnswer: d**(6441\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9397013 - 4390013. What is o rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = 2*j - 0*o + 5*o, o + 158 = -3*j. Let y = 88 + -45. Let h = y - j. Is h a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1536*s**2 + 454*s + 1822. What are the prime factors of n(-4)?\nAnswer: 2, 3, 17, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21050?\nAnswer: 2, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -6. Suppose -25 = -5*c, -3*c = 4*v - 19 - r. Solve -3*k - v*b = -0*k + 17, 3*k + 18 = -3*b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, 1, -10, -22, 5 in increasing order.\nAnswer: -22, -10, -3, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + -18. Find the second derivative of 6*h - 6*h - 12*h + l*h**5 wrt h.\nAnswer: 300*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 7*t + 8. Let d be x(-8). Let i be 2\/(-6) + 8\/60. Which is the closest to 1\/4? (a) -1 (b) i (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + 0 + 2 - sqrt(2057)*1*6)**2.\nAnswer: -220*sqrt(17) + 51429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 2 + 9*i - 670*i + 0 - 57*i to the form a*i + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122718 and 5424?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4 + 5830*x**3 - 5262102*x**2 + 1026539618*x + 405647480816.\nAnswer: -2*(x - 1033)**3*(x + 184)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 21092839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 8 = 18. What is the closest to -2\/9 in k, 0, 6, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 270 and 298620.\nAnswer: 298620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 + -0.014. Let z = n - 5.606. What is z rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -0.133 (c) 3\/26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3089359 is divided by 92.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - 0 - 0*(-7)\/56. Solve b = -5*k + k + 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52\/41 or 73259?\nAnswer: 73259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 182 + 5?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 13 = k, 4*k - 5*s - 14 = -4. Suppose 38 = k*v - 62. Solve -5*c + 5 = v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkgkkkkgkk. Give prob of sequence kk.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3501121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5139*r**2 + 6*r.\nAnswer: -3*r*(1713*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**5\/15 + 3*q**2. Let s(o) be the first derivative of -2\/3*o**3 + 4 + 0*o**2 + 0*o. Determine r(s(m)).\nAnswer: -16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i + 27*i**3 - 27*i**3 + 6*i**5 wrt i.\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 0. Let n = 100800 - 100799. Which is the closest to -0.1? (a) -2\/37 (b) n (c) 0.3 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 7:55 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*m - 100 = 0. Suppose 0 = 5*p - 85 - m. Calculate the remainder when p is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/517 and 51\/209?\nAnswer: 9823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 1\/3 (b) -1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 23*v + 709. Let j be x(-29). Solve 23 = -13*r - j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96936.6391 rounded to the nearest 100?\nAnswer: 96900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -14563d3 (base 14) in base 3?\nAnswer: -200121110201211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 v when three letters picked without replacement from eevevevvvveeeevvev.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -23. What is the remainder when 15 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -52*j**2 - 235*j - 103. Calculate z(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 866 = 3*w, 8 = -m + 3. List the prime factors of w.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -1.0791.\nAnswer: -0.43164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, 48, -4\/7, 2\/7.\nAnswer: -4\/7, 2\/7, 48, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 106252161 + 4?\nAnswer: 106252165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**4\/8 + 10*h**2 + 9*h. Let r(g) be the first derivative of v(g). Let c(m) = 2*m**2. Give c(r(y)).\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.05, 1\/13, 0.02, 2, -6, 46?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**3 - 2*z**2 + 2*z - 1. Let k = 0 - 1. Let y be -5 + 7 + (-2 - k). Let i be c(y). Solve 0 = 5*u + 5*o, -2*u - i*o - 4 = o for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/9)\/(2\/12*-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {z: 1, y: 6, g: 2, u: 3, o: 1}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 54*s**2 - 2*s. Let u(x) = 61*x**2 - 6*x + 6. Let l(j) = -53*j**2 + 5*j - 5. Let a(f) = -6*l(f) - 5*u(f). Calculate i(a(t)).\nAnswer: 9126*t**4 - 26*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2316582 is divided by 57?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = d - 32. Let k(f) = -f**3 + 10*f**2 + 12*f - 9. Give k(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/3, -1, 4, 0.22?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-5)*86\/(-387)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s - 9522 = -3243. Let y(k) = 20*k**2 + 2*k - 1. Let d be y(1). What is the greatest common divisor of s and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 5. Let d(i) = -i**2 + 33. Let r be d(-6). Determine x(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - p + 8. Let m(g) = -g**2 + 8. Let r(s) = 5*m(s) - 4*v(s). Let w be r(6). Put 5, 9, w in increasing order.\nAnswer: w, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/14*5*(-66)\/(-55)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.5 from -0.1.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2873 + -1587. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3968*f**3 - 17237*f**2 + 652595852*f wrt f?\nAnswer: 23808*f - 34474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from bxuukkbxbuxbububkbm.\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*s = 24. Suppose 9*t - 16 = 4*t - 4*p, -t - s = -3*p. Let w = -2438 - -2441. Solve t = w*n + 2*n + 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wlw when three letters picked without replacement from {w: 3, l: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 2*c = -5*w + 8, 2*c = -4*w - 24. Let j be -2*w\/32 + (-14)\/(-8). Factor -f**2 + 0*f**2 - j*f**4 - f**3 + f**2 - f**5.\nAnswer: -f**3*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**8\/420 - 8*o**7\/525 + 11*o**6\/150 + 26*o**5\/75 - 14*o**4\/15 - 16*o**3\/3 + 85*o**2 + 1. Find v such that p(v) = 0.\nAnswer: -5, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*j*z**4 - 2*j*z**3 + 2*j + 12*z + 24 wrt z?\nAnswer: -12*j*z**3 - 6*j*z**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zm when two letters picked without replacement from vbezxvemvzmevexvvz.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -61392 or -76149?\nAnswer: -61392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3510)\/4680*(-164)\/(-3).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j*s**4 + 10998*j*s**2 + 9*j - 80 wrt s.\nAnswer: 4*j*s**3 + 21996*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 8*r**2 + 9*r + 2. Let p be c(-7). Let l(s) = 10*s + 10. Let n(u) = u + 1. Suppose 0*w + 5*o - 12 = 3*w, 5*o = 15. Calculate p*n(g) + w*l(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**7\/105 + 7*o**6\/40 + o**5\/10 - 165*o**4\/8 - 1663*o**2. Find the second derivative of h(y) wrt y.\nAnswer: 24*y**2 + 126*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8682 is divided by 4033?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5552 + -34a0?\nAnswer: 2062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 970.4 != -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, a: 3, q: 5, l: 1}. What is prob of sequence aqqa?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12134060 (base 7) in base 4?\nAnswer: 10020231221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*v + 16 = -2*z, -5*v - 52 = 4*z. Let g be (-6)\/z + (-14)\/(-3). Let h = -2 + g. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2047331, 2047332, 2047333, 2047334?\nAnswer: 2047335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**2 - 2*g. Let a(u) be the second derivative of 7*u**4\/4 - 11*u**3\/6 + 10*u. Determine 4*a(x) - 22*z(x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 10*j**3 + j**2 - 4*j - 9. Let n be l(5). Let h = 607 - n. Let g = 1873\/3 + h. Which is smaller: g or -14?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -411*d**4 + 12*d + 8?\nAnswer: -4932*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 477323 + 2?\nAnswer: 477325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvij when four letters picked without replacement from iimiijivivvj.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - (((sqrt(136) + sqrt(136)*-2 - sqrt(136)) + sqrt(136))*2 - sqrt(136)))\/((sqrt(32) - sqrt(32)*-1) + sqrt(32))*1.\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 - ((-13 - (-1 + -4)) + -152 + 124)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -6.3, 2\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.94 + -4968830471?\nAnswer: -4968830470.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2915223 at most as big as 2915209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53098*j**4 + 767*j**2 - j + 4?\nAnswer: -1274352*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(48))\/(sqrt(96)\/sqrt(3))*5.\nAnswer: 5*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -357*f**2*u**2 - 7*f**2*u + 5155*f**2 with respect to u.\nAnswer: -714*f**2*u - 7*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 3041520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 831 and 30565288?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 17*y = -225. What is the remainder when y is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-105*s + 32*s + 74*s - 8)*(-4 + 4 + 2*s).\nAnswer: 2*s**2 - 16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, d: 1, u: 2, p: 2, v: 6}. Give prob of sequence wp.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 - -113. Let f = -30 + p. Suppose 4*x = 5*y - 22, 5*y + 3*x + 11 = 47. Calculate the smallest common multiple of y and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2538*d**4 - 65*d**3*s**3 + 162*s**3 - 5446*s**2 wrt d.\nAnswer: -10152*d**3 - 195*d**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 12:37 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = i - 51. Let r(w) = -13*w - 12*w + 42*w - i*w - 47. Let h(n) = -2*n. Determine r(h(x)).\nAnswer: -2*x - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 3, -13, 1037, 7, -5 in ascending order.\nAnswer: -13, -5, 2, 3, 5, 7, 1037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 9:56 AM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f - 6. Let g be r(6). Suppose 2*x = -5*m + 23, -m - 6 = m - 3*x. Let a = m - g. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**2 + 2. Let o(u) = -7*u**3 - 4*u**2 + 9*u - 2. Let i(a) = a**3 + a**2 - a. Let b(x) = 6*i(x) + o(x). Let h be b(3). Give t(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -1, -5, -2, 0.\nAnswer: -18, -5, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*l - 569 - 519 - 149 = 283 for l.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7175 (base 8) to base 9\nAnswer: -5071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 887 = -44*f - 1377 + 1824 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - 45)*6\/(-15). Calculate the greatest common divisor of 30 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -6 (c) 4\/63 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12945? (a) -1 (b) 7 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 630 = 4*z - z. Is 42 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 4:17 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 449.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 + 52. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fte when three letters picked without replacement from {e: 1, f: 3, u: 3, t: 8, p: 4}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -352 divided by -14.\nAnswer: 176\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 3*x - 4. Calculate the lowest common multiple of w(-3) and ((-16)\/20)\/(3\/(-75)).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6995197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 38.6261\nAnswer: -193.1305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnfngnyfnffnbnfb. Give prob of picking 2 f and 2 b.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 56358 (base 10) in base 16?\nAnswer: dc26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1160)\/1144 - (-36)\/(-468) - (-5308)\/4906\nAnswer: -2\/223","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**4 - 575509*m**3 + m**2 - 10882080*m + 2.\nAnswer: -24*m**2 - 3453054*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(55)\/((-1*sqrt(110))\/sqrt(10)) + (sqrt(20) - (0 + sqrt(20)))*-6 + 2).\nAnswer: -12 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*f + 18, 0*f + 4*r = 4*f + 24. What is the units digit of 8\/f*(-15)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -456.18 - -459. Let l = 0.18 + r. Which is the nearest to 13? (a) 2\/3 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -948 = 68*w - 223*w - 319*w. Put -3, -460, w, 0 in ascending order.\nAnswer: -460, -3, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 0.056?\nAnswer: -0.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169681 is divided by 419?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 17 + 13*h**2 + 19.\nAnswer: 13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-28)*-34*56\/28.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1274, -3696, -8370, -16400, -28890, -46944, -71666, -104160?\nAnswer: -145530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-94)\/(-4)*12\/6. Let j be c\/2 + (-2)\/(-4). Suppose -18 = 3*b - j. Solve 4*l = 4*k - 36, 3*l + 17 = b*k - k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230453554.\nAnswer: 2, 73, 1217, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 take away 94?\nAnswer: -94.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.2619122 nanoseconds?\nAnswer: 0.0000000002619122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - 2\/(-1))*1. Let l be 43 - j - 0 - 3. Suppose -93 = -3*n - 3*s, 3*n - 134 = -2*s - l. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 - 196*x - 915*x**3 + 196*x + 920*x**3 + x**4 + 2*x**4 + 4 to k + r*x**3 + v*x**4 + c*x**2 + b*x and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 27*l**2 + 31*l + 86. Calculate the smallest common multiple of s(-28) and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*l = 3*n - 9, 4*n - 5*l - 57 = 0. Suppose p + 35 = n*p. Suppose 34 = -p*x + 39. What is the biggest value in x, -2\/11, -0.05?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -191.956 - -188. Let s = -0.044 + r. Let f be 4\/7*(-3)\/(-2). Which is the third smallest value? (a) f (b) -2\/15 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 - -49. Which is the smallest value? (a) -0.7 (b) u (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m. What is l(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jks when three letters picked without replacement from {s: 1, j: 1, k: 2, p: 1, n: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 6*j + 3. Let a be d(-4). Suppose a + 182 = 9*c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2259578083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 41*v + 7 = -45*v, 0 = 2*m - 5*v - 14 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 3*g - 4*g. Let q = g - 93. Let o be 8\/(-10)*q\/16. Solve -x + o = -1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - -5 - (-15)\/(-5). Suppose 4*n = -3*l + 378, -5*n + h*l = -12 - 472. What is the greatest common factor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644742 is divided by 1438.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -10, 10, -5 in descending order.\nAnswer: 10, 4, 0, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000058705052 to seven decimal places.\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3073580 to the nearest integer?\nAnswer: 1753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -676*c - 10768 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 10 = -4*c - 14, -3*c - 5*k = -17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.2 + 34.2. Let s = r - 32.5. Which is the nearest to -4\/3? (a) 1 (b) 1\/7 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/3217244 and -79\/2180?\nAnswer: 16086220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(5\/2)\/t**3*t**(1\/15)*t*t\/t**(2\/21) assuming t is positive.\nAnswer: t**(103\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 7 = -3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 55559 - 27?\nAnswer: 55532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 12 - 4. Suppose -2*m = -6*m - t. Sort m, 1, 3.\nAnswer: m, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -0.2, -12, -193?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and 261262.\nAnswer: 261261.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8495 - -8486. Which is the nearest to 1? (a) g (b) -1 (c) -3\/7 (d) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 8:04 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 105103511 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 12.999998945. Round g to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 2. Suppose -3*x = -x - 6, v - 2*x = -15. Let w(i) = -2*i + 5. Let y be (-5)\/(-5) + 3\/1. Determine v*p(q) + y*w(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooh when three letters picked without replacement from {o: 3, h: 5}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -7439, -0.5, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1488? (a) 4 (b) 73 (c) -15 (d) 1\/2 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-12 - -44) - 80.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-504)\/(-108))\/(2\/11157) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329136239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 4, 0, -14.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 176\nAnswer: -52.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 36 = -79. Let n = 26 - v. Suppose -7*i + 2*i - 4*x = -47, -4 = -i + x. Solve -1 + i = n*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**3 - 2*d**3 + d**4 - d**3 + 5 to r*d**2 + x*d**3 + m*d + i*d**4 + g and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/3*(-45)\/75*5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-12 - (-8 - 14)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 41bca?\nAnswer: 41bc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 87\/2 - 23\/4*c - 1\/4*c**2 = 0.\nAnswer: -29, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 12996\/2417?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/117579 and -39\/8470.\nAnswer: 12933690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 9*i + 4. Let o be k(8). Let n be (13 - o)\/((-2)\/4). Let m = 0.46 - -5.54. Which is smaller: m or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 11*l**3 - 5*l**2 - 3. Let o(u) = -u**3 + 2*u**2 - u + 1. Let m(z) = -n(z) - 2*o(z). Is m(-3) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*m - 3)*(2 + 3 - 3)*(-12436 + 370*m + 12436).\nAnswer: -2220*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/9)\/(u**(-7)\/u)*(u**(-1))**(-29))\/((u*u\/u**8*u**(-2\/3))\/(u**(-2))**(-3\/7)) assuming u is positive.\nAnswer: u**(2798\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(-3))*v**(2\/19)*v**(6\/11)*v**(-6)\/v)\/((v\/(v**(2\/7)\/v))**(4\/7)\/((v\/(v*v*v*v*v*v*v\/((v\/(v**0*v))\/v)*v*v))\/(v**(-8)\/v))) assuming v is positive.\nAnswer: v**(-105778\/10241)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 + 204*b**2 + 216*b - 416.\nAnswer: -4*(b - 52)*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374943 is divided by 31103?\nAnswer: 1707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 23*q**2 + 6*q + 10. Let k(t) = 21*t**2 + 5*t + 8. Let a(b) = -4*f(b) + 5*k(b). Determine a(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 - 11*c**3 - 301*c + 149*c + 152*c.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 6*f**2 + f + 7. Let l be o(5). Let t = -9 - l. Let n = t + -2. Solve 5 = -c, 3*c = n*y + c - 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**3 + 53170*s**2 - 53170*s**2 - 2 - 1.\nAnswer: 6*s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 94*p**2 - 2022*p - 353. Calculate c(-61).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -2.93. Let y = 0.03 + d. Which is the nearest to y? (a) 1 (b) 4\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 788605?\nAnswer: 5, 157721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 7 = -3*y, -3*y + 11 = 2*y - 4*q. Solve 0*k + y*k - 12 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 10*n + 13. Suppose 4*l + 3*o + 28 = -o, 5*o = -4*l - 23. What is the units digit of i(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 0.5 (b) 5 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -836 = 2*k - 40*k + 266. Solve k - 3 = 26*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g**3 - 6*g + 2*g + 17*g**3 + 2*g to b*g + s + o*g**3 + q*g**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j - 2*j**3)*(3*j**2 + j**2 - 5*j**2) - 31*j**2 + 48*j**2 - 19*j**2 - j**5 + 46*j**4.\nAnswer: j**5 + 46*j**4 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + (-4)\/2)\/(37\/(-111)). Let c(r) be the second derivative of 2\/147*r**7 + 0*r**2 + 0*r**4 + 4\/105*r**6 - 12*r + 0*r**h + 0 + 0*r**5. Factor c(o).\nAnswer: 4*o**4*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-144)\/(-384))\/((-1)\/(-562)). Let f = -202 + p. What is the common denominator of 45\/46 and f?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - m - 1. Let i(b) = 4*b**2 - 9*b - 3. Let r(a) = -i(a) + 6*p(a). Let y be r(-3). Solve 0 = -2*w + 4*w + y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -20. Let a(i) = 17*i - 23. Is a(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + r**2 - r**2)*(-2*r + 0*r + 0*r) + 2*r**3 + 0 + 0 + (r**3 - 1 + 1)*(5 - 3 - 1) + 0*r**3 + 2*r**3 + r**3.\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a83a5 (base 12) to base 7.\nAnswer: -11141564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 329 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: Let g(o) = -83*o**2 + 5677*o + 249. Determine g(68).\nAnswer: 2493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -d**4\/6 - 49*d**3\/3 + 50*d**2 + 4*d + 115. Determine z so that p(z) = 0.\nAnswer: -50, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3.1 (b) -0.1 (c) 0.452548\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + -5. Let x be (v\/(-9))\/((-4)\/(-6)). Suppose x*g + 6154 = 554. Round g to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12734141.\nAnswer: 7, 599, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-844 - -124)*(-2)\/(-5). Which is bigger: -286 or w?\nAnswer: -286","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d**2 - 2*d + 2*d)*(-112206 + 66395 - 118166 - 30632 - 143262) as f + t*d**2 + h*d and give t.\nAnswer: -675742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 + 63. Let p = f + 3. Suppose -p*j = 36 - 31. What is the biggest value in -0.4, 0.04, j, 0?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114990479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p - 1. Suppose 5*b + 14*v - 94 = 16*v, -3*v - 6 = 0. Let i(m) = -b*m + 10*m**2 - 5 + 17*m - 8*m**2. Determine i(u) - 4*n(u).\nAnswer: 2*u**2 + 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (0 - 17) + 35 - (10 - 1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 194704?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 3*z + 13 = 10 - 0, 41*d + 2*z + 6 = 47*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*i + 26 = 0, 0*i - 59 = -4*l + 3*i. Let c be 40\/(-32) - 2\/(-8). Calculate the remainder when c\/((-4)\/372*3) is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5*(-4*(sqrt(5) + sqrt(55)\/sqrt(44)))**2.\nAnswer: -904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -804*u - 756 = -720*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 5. Suppose 0 = -5*b + 4*p - 2*p, a = p. Suppose b*f + 80 = -h + 4*h, 80 = 4*h + 4*f. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*n + 4*o + 4, 0 = 3*n - o + 11. Let z = n - -1. What are the prime factors of 0\/2 - 6\/z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2547684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 123049150 a multiple of 1673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7}. Give prob of picking 3 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3412297 is divided by 1167?\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -31877*y + 31877*y + 33*y**2 + 4*y**2 + 6 as k*y**2 + c + s*y and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 5*l - 8. Give k(-9).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 0)\/(-11) - 0. Suppose 5*d - 4 = -y - 20, 6 = -3*y - d. Let j be (-1 - -2)*y - -2. Which is the closest to 0.1? (a) -2 (b) o (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 7*a**3 + 7*a**2 - 20*a - 9. Is u(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 263357*t**3*x**2 + t**3 - 50*t**2 - 187*t*x**4 - 2824781 wrt x?\nAnswer: 526714*t**3*x - 748*t*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 46?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0*r + 6 = 0. Suppose 3*s = r*u - 108, -248 = -3*u + 3*s - 80. Let m = u + -31. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 7*w - 3. Let a be f(8). Let s = a - 7. Is s < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 110 - 45. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - (-8)\/(-16))\/(869\/176 - 4). Solve 2\/15*s**2 - 16\/15*s + y = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -4. Solve z - 4 = -y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82829*-0.12.\nAnswer: 9939.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1199121 divided by 3759.\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -140 + 10b70?\nAnswer: 10a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-273)\/(-14))\/3)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27 - ((-3 - -6 - -12) + 28)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2) + 3 - (6 + -10 - -20)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 0*o**3 + 10*o - 13*o - 1 - o**3 + 3*o**2. Solve x(m) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 9*w - 2. Suppose 0 = 4*n + 5 + 3. Let r be q(n). Let o be (-3 + 1 + r)*-4. What is the highest common divisor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 3. Suppose -l*z + c + 1 + 3 = 0, -2*z = 2*c - 8. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 + 16 + 24*a**2 + (a - a + a)*(0 + a + 0) + 2*a**2 - 3*a**2 - 5*a**2)*(-1 + 1 + 1)*(0 + 0 - 3) to m*a + q + y*a**2 and give y.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92 and 207.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 8*v**2 + 7*v + 6. Suppose -4*z + 3*w = 19, w - 9 = 4*z + 16. Let h be d(z). What is the greatest common divisor of h and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.06 and -450.58.\nAnswer: -450.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 8 = -3*r, 5*r = -0*k - 5*k + 30. Solve -4*n - 3*j - 8 = -0, 0 = 5*n - k*j + 45 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**2 - 5*u + 3. Let b(i) = -8*i**2 + 15*i - 8. Let y(s) = -4*b(s) - 11*p(s). Let w be y(-4). Solve -5 = -2*m - d, 29 = 2*m + w*m - 3*d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/8 of a millimeter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = y - 0. Suppose 600 = y*f + 205. Let a = f - 43. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 314*w + 966. Let i be u(-3). Solve 11*x + i - 57 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 5068 and 5070 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m**0*m)\/m)*m)\/m)**(-2\/17)\/(m**1\/m*m*m*m*m\/(m**(-2\/19)\/m)) assuming m is positive.\nAnswer: m**(-1687\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n**2\/2 - 23159*n + 1249128 = 0. What is n?\nAnswer: 54, 46264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2275, -4589, -6903, -9217, -11531, -13845?\n\"Answer: -2314*s + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6332702 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1969?\nAnswer: 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 5*p + 208. Suppose 120 = -0*d - d. Let i = -42 - d. Calculate the greatest common divisor of i and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 28*x**3 + 4 - 1.\nAnswer: 28*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80791 is divided by 19797.\nAnswer: 1603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -2. Suppose 1 + 2 = o. Let x be 2\/(-3) - (-41)\/o. Solve -h*u - x = -3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3155*l - 5853. Let x(d) = 40*d - 2. Let p(b) = u(b) + 3*x(b). Differentiate p(y) with respect to y.\nAnswer: -3035","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 d when two letters picked without replacement from qdbgn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -8872.\nAnswer: 887.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*i + p = 90*i + 6, -2*p = 24*i - 48 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 612 - 610. Solve q + 1 = a*d, 2*d - 4*q - 16 = -0*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-21)\/6 + 3\/(-6). Sort f, 3, -3.\nAnswer: f, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304)*1 + -2.\nAnswer: -2 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 1:17 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -28*u**3 - 5*u**2 - 5*u + 5. Let a(g) = 14*g**3 + 2*g**2 + 2*g - 2. Calculate -5*a(p) - 2*v(p).\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9\/10 of a centimeter?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*n - 4*l, 4*n + 10 = -0*n - l. Suppose 20 = 5*d, k + 5 - 27 = -4*d. Suppose -k*m + 4*y = -2*m - 8, 55 = 5*m + 4*y. Sort m, 3, n.\nAnswer: n, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 305732911, 611465820, 917198725, 1222931626, 1528664523?\nAnswer: 1834397416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -14*26\/(-8)*2 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/110 and (-109)\/(-1144) - (-224)\/(-1232)?\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 1332 - 1342. Suppose 5*d = 4*v + 8*d - 60, 46 = 3*v + g*d. Let i be 1\/1*(-33)\/(-2). Which is bigger: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102 - 20110100?\nAnswer: -20101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1486940 divided by -743470?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -398.88 to the nearest 10.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*y**2 - 5668*y - 28540.\nAnswer: 4*(y + 5)*(2*y - 1427)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, 5, -2, 1 in ascending order.\nAnswer: -6, -5, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.27 - 0.03. Let w = p + 0.5. Suppose 8*h - 18 = 2*h. Which is the biggest value? (a) w (b) -1\/8 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**4\/12 + 4*q**3\/3 + q**2 + 79*q. Let s(c) = -2*c - 9. What is 5*s(j) + 6*w(j)?\nAnswer: 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = o - 76, -4*r + 56 = -r + o. Let m = r - 17. Solve -4 = -2*u - 2*y, -3 = -4*u - m*y + 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/6)\/(8\/(-6))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 50784474 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 + 3168*w**2 + 310378*w - 313548.\nAnswer: 2*(w - 1)*(w + 106)*(w + 1479)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 204 and 18?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4920?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -273*o - 36000. What is u(-132)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/(-5) + (-1 - 3804\/(-10)) is divided by 75?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 9. Let d(t) = 7*t**2 - 5*t + 4*t**3 - 3*t**3 - 2*t**3. List the prime factors of d(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*w + o, -2 = 5*w - 2*o + 21. Suppose -r + 4*p + 16 = 0, 3*r - 4*p - 16 = -0*p. Suppose 2*n = -r*n - 4. Sort 0, n, w in increasing order.\nAnswer: w, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 825.0443 and -20.\nAnswer: -16500.886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 - 57. Suppose -h*a = -589 + 217. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12653544 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-d + 3 - 3)*(1 - 3 + 3) + 2*d - 1 + 1 - 2*d - d + 5*d)*(-6 + 6 + 2*d**2).\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62562298 is divided by 575.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**3 - 4*p**2 - 5. Let x(r) be the third derivative of -r**6\/60 + r**5\/20 + 2*r**3\/3 + r**2. Let s = 4 - 0. What is s*x(a) + 3*c(a)?\nAnswer: a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -29*o**3 + 1. Suppose -5*l - 29 = -p + 16, 0 = 4*p - 5*l - 240. Let x = p - 66. Let d be m(x). Sort d, 3, -3\/8 in increasing order.\nAnswer: -3\/8, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.5066 to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v**2 - 133*v + 261. Let q be i(2). Solve 915*u - q = 910*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n. Let u(p) = -3*p**2 - 40*p + 2. Let c(l) = -3*l**2 - 41*l + 3. Let i(m) = -4*c(m) + 6*u(m). What is k(i(s))?\nAnswer: -6*s**2 - 76*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -41, 8, 25, -4 in descending order.\nAnswer: 25, 8, 5, 4, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v. Let i(l) = -3*l - 3. Give i(t) + 4*w(t).\nAnswer: t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 0, 8 in increasing order.\nAnswer: -2, 0, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10*a**3 + a + 1. Determine h(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*h - 21*h - 12*h + 1 - 1.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 536 a factor of 1327136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/31)*j*j\/((j**(-2\/3)\/j)\/j))\/(j**(2\/5))**17*((j*(j**(3\/4)\/j)\/j)\/(j\/j**6))\/((j**1*j)\/j)**(-10) assuming j is positive.\nAnswer: j**(23347\/1860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, -41, -99, -157, -215, -273?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**5\/20 + 7*t**4\/12 - 7*t**3\/6 - t**2\/2 + 14*t. Determine g(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -941990360 rounded to the nearest 100000?\nAnswer: -942000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2. Suppose -u = u - 6. Suppose 0 = u*a - 3. Let y(d) = -1. Let s(b) = -20*b - 20. Let x(i) = a*s(i) - 20*y(i). What is x(l(c))?\nAnswer: 40*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 151 - -302. Let x = a - -514. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 10*s**2 - 7*s - 16. Let t be h(7). Suppose -320 = -14*p - t. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1891 <= 1891?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqcmcckqqcmccccqmckc. What is prob of sequence cc?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2880\/(-312))\/8*2\/5\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**23\/a*a)\/a**(-5) assuming a is positive.\nAnswer: a**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 63 + 402?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(5 - -7) + 26\/40?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/6)\/(3\/9). Let c be ((-8)\/(-32))\/(2\/(-6)). Which is greater: h or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2207*i**3 + 9*i**2 - 391*i + 5. Let y(x) = -2213*x**3 - 10*x**2 + 392*x - 6. Let o(h) = 6*a(h) + 5*y(h). Find the third derivative of o(l) wrt l.\nAnswer: 13062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003379503 to 4 decimal places.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1743418 divided by 2182.\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence us when two letters picked without replacement from ssssssussssssssuss?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t - 3. Let d be g(-1). Suppose 4*x = 2*b, 0 = -3*b - x + d*x + 5. Solve b*m = -m - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 divided by 1922.\nAnswer: 41\/961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537570382 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-21) + (-4)\/12. Let c = 39 - 28. Let a = c - 11. Are u and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + g = -15, -441*a + 2*g = -469*a - 30 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -70*a*s**4 + 4*a*s**2 - 272*a wrt s?\nAnswer: -280*a*s**3 + 8*a*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10398841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d**4\/5 + 9459*d**3\/5 - 3739833*d**2\/5 + 9304701*d\/5 - 5574321\/5 = 0.\nAnswer: 1, 3\/2, 787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 8*z = 2*c - 46883, 3*z - 23444 = -c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3822, 15277, 34370, 61101, 95470, 137477?\nAnswer: 187122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by -697.\nAnswer: 27\/697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81 + 71314\/(-905) - (-922)\/(-410).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/32 (b) 68 (c) -1\/26 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/571 - -51985\/13704. What is the common denominator of v and -41\/159?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176 divided by -28.\nAnswer: 44\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*15\/(-350)*(-8)\/(-6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**4\/7 + 66*t**3\/7 - 72*t**2\/7 - 136*t\/7 = 0.\nAnswer: -34, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**8\/3360 - u**6\/360 - 11*u**4\/24 - 8*u**2. Let l(x) be the second derivative of p(x). Factor l(z).\nAnswer: 2*z*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100000001111000010001 (base 2) to base 8\nAnswer: 4017021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138 and 7107.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 90, 293, 680, 1311, 2246, 3545?\nAnswer: 5268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**3 - 5*h**2 + 4*h + 3. Let a be d(-3). Let b be (-1)\/(0 + 0 + 1). Sort -4, a, b in descending order.\nAnswer: a, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41603 is divided by 13625.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 5, 13, -2.913 in ascending order.\nAnswer: -2.913, 0, 3, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 4608993.07 to the nearest 100.\nAnswer: 4609000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 0*q**2 + 5 + 2*q**2 - 1 - 4*q. Let d(g) be the second derivative of g**3\/6 - g**2\/2 - 20*g. Let t be 3 - (-1)\/(2\/(-4)). Determine t*i(l) + 3*d(l).\nAnswer: 2*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-1)\/(-14))*(45 + -83 + 34)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*p**2 - 1 - 4*p**2 + 36*p**4 - 2*p**3 - 26*p**4 to w*p**3 + z*p + b*p**2 + r + a*p**4 and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4*(-3)\/18)\/(3\/(-531)). Let t = -84 + a. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 832838 minus 0.2?\nAnswer: 832837.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/1853 and -5\/68.\nAnswer: 7412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17666 and 4015.\nAnswer: 88330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23805107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-544)\/(-256) + (-9)\/8 + 1. Determine h so that -2\/9*h**p + 0*h + 2\/9*h**3 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 5:21 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence leta when four letters picked without replacement from tllaettteaeqatquttta?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.283 - 2.717. Put z, -4\/11, -29, 0.1 in decreasing order.\nAnswer: 0.1, -4\/11, z, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*s - 420 = -87*s. List the prime factors of s.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18\/79, -2\/5, 10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/1983504 and -25\/2015496.\nAnswer: 124960752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5\/1*(-36)\/(-4)*6\/(-18)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7982.417981 - -13.\nAnswer: 7995.417981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 + -0.141528?\nAnswer: -0.021528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)\/sqrt(99))\/(sqrt(40)\/(sqrt(5)*-2) + sqrt(8)))**2*3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -14*v**2 + 1\/24*v**4 + 9*v + 0 + 1\/3*v**3. Let z(k) be the first derivative of n(k). Determine z(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -16. Suppose 4*c - z = c. Suppose -2*n = -2*x - 12, -c*x + 5 + 1 = 4*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 10*z - 45 + 125 - 75*z.\nAnswer: -65*z + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19 or -55677\/2986?\nAnswer: -55677\/2986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 9*x**2 - 39*x + 44. Determine i(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i**4 + 13*i**3 + 5*i**2 - 3*i. Let z(p) = p**3 - p. Let y(s) = l(s) - 3*z(s). Factor y(v).\nAnswer: 5*v**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w + 19. Let k be f(-2). Let a = 23 + 13. What is the greatest common divisor of a and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3393972 divided by 12\nAnswer: 282831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16446*t - 12895?\nAnswer: -16446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280 - 6621 = 3*g - 1486*g + 13861 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28339273 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z**2 - 5*z - 4. Let p(q) = 16*q**2 + 16*q + 12. Suppose 49*b + 165 = -325. What is b*a(s) - 3*p(s)?\nAnswer: 2*s**2 + 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129291*1.1.\nAnswer: 142220.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q**2 + 24*q - 7. Let r be z(3). Let j = r + 297. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1115, -2236, -3357?\nAnswer: -4478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 3:48 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -441318, -441346, -441374, -441402, -441430, -441458?\n\"Answer: -28*g - 441290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2964*a + 1553*a + 1422*a.\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 + 28092*f - 815509.\nAnswer: (f - 29)*(f + 28121)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 146*r + 26 = -151*r, u = 2*r + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 2 (b) 2\/17 (c) -5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkps when four letters picked without replacement from {v: 3, i: 6, k: 1, s: 4, r: 3, p: 2}?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6640604 - 0?\nAnswer: 6640604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -1.3. Let k = x + -3.8. What is the second smallest value in k, -2\/9, -0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31 or 1526.66?\nAnswer: 1526.66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 20, 52, 108, 194, 316?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 202896 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 10, 264*k + 7 = -o + 261*k for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/880 and -91\/88.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**5\/60 + 25*d**4\/18 + 286*d**3\/9 - 676*d**2\/3 - 174*d. Factor m(o).\nAnswer: (o - 2)*(o + 26)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3263082 and 95973.\nAnswer: 3263082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -36232 + 84677\nAnswer: 48445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 30 = 5*b - 2*w, 2*w = 4*b + 24. Let r be (500\/b)\/(2\/(-420)). Round r to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 - 42.59. Let c = -0.09 - a. What is the closest to -0.1 in 0.1, -0.1, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1875 (base 9) in base 5?\nAnswer: 21240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5397 is divided by 1597.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 + -26. Suppose -4*i = 5*m - u, -21 = -2*i + 5*m + 9. Suppose -4*c + 4*t + i = 2*t, c + 5 = 3*t. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -649564 + 1.184796.\nAnswer: -649562.815204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/56 and -103\/1247666?\nAnswer: 4990664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggew when four letters picked without replacement from {w: 7, g: 2, e: 6}.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110, -3, 3, -40 in descending order.\nAnswer: 3, -3, -40, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -503*t**2*u**2 + 40*t*u**2 + 9 wrt t?\nAnswer: -1006*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - -5. Is 34 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-23)*(-100)\/(-125)*(-5)\/(-10).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10476 by -108.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76038995?\nAnswer: 5, 337, 45127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4836 divided by 124?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -1. Let i be (-8 - o)*1\/(-3). Let l be ((-24)\/390)\/(2\/(-5)). What is the closest to -0.1 in i, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**6*c)*c**(-1))\/(c**(-7)\/c**(-1\/5))*(c**(-4)\/c)\/(c**(-2\/13)\/c)*c\/(c**(-1\/5)*c*c*c)*c*c**(-3\/5)*c assuming c is positive.\nAnswer: c**(-289\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 241 - 216. Solve -v - v = 4, 0 = 5*r - 5*v - l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*a - 43*a - 35*a - 5320 = -48*a for a.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**3 + 4*s**3 + 5*s**3 + (s**2 - 4*s**2 + s**2)*(0 + 0 - 2*s) + 0*s + 4*s**3 - 2*s**3 + 2*s.\nAnswer: 10*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329498 is divided by 29658.\nAnswer: 3260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 449*a = -131*a - 21460 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2)\/(o\/((o**(-2\/77)\/o)\/o)))\/(o**(-3\/2))**(-33))**(-2) assuming o is positive.\nAnswer: o**(8397\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -12 + (-3 + 3)\/(-3). Let t be 0*(-2 + (-20)\/h). Let g be (14 - 15) + 6 + t. Solve l - g = -0*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - (-1*sqrt(17) + 3)) + (sqrt(34)\/sqrt(2) - sqrt(17))*4)**2.\nAnswer: -12*sqrt(17) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -67 (b) -2\/7 (c) -4 (d) -0.3 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkqqezkc. What is prob of sequence zz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1339530 to the nearest integer?\nAnswer: 1157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -4, -7\/5, -1\/7 in increasing order.\nAnswer: -4, -7\/5, -1\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 5 + 3*a - 1 + (8 - 5*a - 8)*(2 + 0 - 1) in the form b + d*a and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092968 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: Suppose -4*n = 5*r - 53081, -16*r - n + 31850 = -13*r. List the prime factors of r.\nAnswer: 3, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 801*q - 11. Let f be x(11). Suppose h = -4*h + f. What is h rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**5\/120 - z**4\/4 + z**3\/2 + z**2. Let j(c) be the first derivative of h(c). What is j(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hkzzkkkh. What is prob of picking 2 z and 2 h?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33851194*u**4 - 6582516?\nAnswer: -135404776*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-11))\/(9\/(-54))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -12513669?\nAnswer: -16\/12513669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/4 + 19\/(-4). Let v(f) = 2*f + 2. Let o(t) = 1. Let c(d) = q*o(d) + v(d). Let b be 0 + 20\/((-8)\/(-2)). What is c(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 130320 = -16*s. What is s rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -5) + 39 + -39?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 122 = 7*h. What are the prime factors of h?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 1\/20*o**5 + 0 + 50*o + 3\/4*o**4 - 2*o**2 + 4\/3*o**3. Calculate i(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**4 + 12*s**3 + 1914*s**2 - 160*s + 113.\nAnswer: 24*s**2 + 72*s + 3828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 6*g - 6. Give f(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/22124676 and -155\/112308?\nAnswer: 22124676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 3*x + 12, -z = z - 3*x - 12. Suppose z*n = 5*b - 2*n - 34, 2*n + 10 = 2*b. Let g be (-11)\/(-4) - 6\/b. Are -2 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -6253.94.\nAnswer: -6248.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*k**2*w**3 - 2*k**2*w**2 + 2*k**2 + 5*k*w**4 wrt w.\nAnswer: 66*k**2 + 120*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*l + 34 = 0, 3*l + 22 = -d - 2*l. Let z(j) = j**3 + 5*j**2 - 13*j + 10. Let k be z(d). What is the highest common divisor of 7 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 plus 219593?\nAnswer: 219593.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - 2 - (-9 - -1 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + 88863.\nAnswer: 88829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.475 - -0.3. Let y = 0.055 + x. What is y rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (-276)\/(-104) - 4\/(-26). Let z be (6\/(-24) + 0)*(0 + 0). Find v, given that 0 + z*v - 3\/2*v**3 + p*v**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/7 (b) 0.4 (c) 0.2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 11. Let o(p) = 2. Let m(d) = -2*i(d) - 11*o(d). Let q = -52 + 54. Let s(r) = -14*r**2 + 6*r**2 + 5*r**2 + 5*r**q. Calculate s(m(g)).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**4\/3 + 4328*m**3 + 7015680*m**2 - 84396032*m\/3 = 0.\nAnswer: -3248, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 143340435 and 405625?\nAnswer: 142934810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i*w**2 - 11261*i + 5810*w**2 wrt w?\nAnswer: -2*i*w + 11620*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 + -3 + 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*i**5\/4 + 8421*i**4\/4 + 160791*i**3\/4 - 159081*i**2\/4 - 5115*i\/2 = 0. What is i?\nAnswer: -55, -31, -2\/33, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 8*h + 21. Let q(p) = 12*p + 32. What is 5*q(n) - 8*x(n)?\nAnswer: -4*n - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3901, 15585, 35059, 62323, 97377, 140221, 190855?\n\"Answer: 3895*o**2 - o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1\/8 (b) 3 (c) 118\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-810)\/(-102))\/9 + 6\/51. Which is the closest to 0? (a) v (b) 0.4 (c) -0.1 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536 a factor of 2624002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1377) + -3 + sqrt(1377) + -3 - sqrt(1377) - sqrt(1377)) + (sqrt(1377) + 2)*2)*6)**2.\nAnswer: -2592*sqrt(17) + 198432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1872)\/(-33228)*(-1 + 11 + -11)?\nAnswer: -4\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -30. Let n = 30.00029 + h. Round n to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 3*n**2 - 1. Let g = -4 + 3. Let r be q(g). Let l = 256604 - 256600. Solve -s + l = r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 2 - 2)*(2 - 2 + t**2) - t**3 + 0*t**3 + 4*t**3 + (8*t**2 + 6*t**2 - 25*t**2)*(-3 + 3 + t) - 5*t**3 + 3*t**3 + 0*t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1092*i - 442*i = -10251 + 2390 + 62461 for i.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 5*q + 2. Let n be y(4). Let l = -13049 - -13048. What is the smallest value in -0.3, l, n, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 4:03 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -2 in ascending order.\nAnswer: -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7557, 14873, 21947, 28779, 35369, 41717, 47823?\n\"Answer: -121*x**2 + 7679*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 2*q - 1864 + 1857, -12*q - 4*y = -40 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 5*h**2 + 3*h - 6. What is u(-5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -a**6\/720 - a**4\/4 + 6*a. Let w(m) be the third derivative of s(m). Let p(x) = -x**2 + 2*x + 2. Let c be p(2). Give w(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 436 + 5*w**2 - 436.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22884767, -22884761, -22884755?\n\"Answer: 6*v - 22884773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -10. What is the units digit of (b\/(-1) - -1) + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/15 - 14504*n**2\/15 + 14506*n\/15.\nAnswer: -2*n*(n - 1)*(n + 7253)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.18896 grams in milligrams?\nAnswer: 17188.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34657591.\nAnswer: 34657591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - (-719 + 3 + 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/33)\/(((-1218)\/281358)\/((-1)\/(-6)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-58)\/(-3) + 38\/57. Is (-6772)\/(-6)*(-3)\/o*-10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3506 is divided by 630?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4033 - 1067289*l**3 + 1070518*l**3 + 3120 wrt l.\nAnswer: 9687*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 106*l**3 + 9*l**2 - 4. What are the prime factors of n(3)?\nAnswer: 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 831 = 115. Let y = -238 + 412. Suppose 5*x + 5*u - y = 4*u, m = 5*x - 4*u. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 12*q**2 - 2. Let x be y(12). Sort x, 4, 5.\nAnswer: x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3 + 5)\/(-6))\/((-18)\/918). Sort t, 1, -19, 3.\nAnswer: -19, 1, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*q**3 + 21*q**3 + 3*q - 8*q**2 + 8*q**2 in the form v + h*q**3 + y*q + m*q**2 and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/(-11)*(-6)\/(-4). Suppose -u*g + 87 = 5*b, -4*g = 1 - 17. Calculate the greatest common factor of b and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 411216 - 2?\nAnswer: 411214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 6793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q*q\/(q\/((q**0*q)\/q)))\/q)*q)\/q**(-8\/3))\/((q*q**1\/q*q*q)\/(q\/(q**(-2\/5)*q))) assuming q is positive.\nAnswer: q**(31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -6958*f**3 - 8*f**2 + 2688*f - 12. Let t(a) = -a**3 + 4*a**2 + a + 6. Let h(g) = 2*t(g) + w(g). Find the second derivative of h(u) wrt u.\nAnswer: -41760*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 + -61. Suppose r*v = 2*v + 9. Solve -27 = -3*m - 0*m + 5*h, m - v*h - 13 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-2 - (-22)\/10). Let j be (1\/16)\/(a + (-351)\/36). Let i = 7 + -12. What is the closest to -1\/6 in j, -4, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-1248)\/(-126) - (-2)\/(-42)*-2 and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7694)\/580 + (-3)\/(-10) - -13?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {h: 1, q: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/9 + 3)*9 - 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaaaaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13731 - 18398 = -393*t - 7370 for t.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.10332 litres?\nAnswer: 1103.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 498 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -10. Let t(d) = -36*d + o*d + 13*d. Let m(q) be the first derivative of -q**2\/2 - 2. Determine m(t(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13683194675934*x - 5*x**2 - 13683194675934*x.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 12*w. Suppose 0 = -5*n + 21 - 1. Suppose -l + 2*l - 5 = -2*r, -l + 5*r + 5 = 0. Suppose n*a - l + 1 = 0. Calculate c(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*g - 3460, 82*g - 80*g - y = 1383. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.4 + 8.2. What is the second biggest value in 0.3, f, 3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-28)\/(-8))\/(5\/10). Factor -12*a - 2*a + 4 + 2*a**2 + 9*a**2 + 2*a**4 - 10*a**3 + x*a**2.\nAnswer: 2*(a - 2)*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 0.16, -3\/2?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 57\/21 - 3 - 29\/609. What is the nearest to -0.4 in x, -2\/7, -0.02?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*a - 3*y = -15, 0 = -4*a - y + 17. Let w(n) = a*n - 3*n + n - n + 7. Calculate the lowest common multiple of 7 and w(3).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 46 + 36 - 19*z + 14*z**2 - 95. What is the hundreds digit of s(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - -22) + -44 + -73 + 38.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -404*j**2 - 150*j + 0*j**5 - 156*j**4 + 347*j**3 - 48*j**2 - 2*j**5 - 803*j**3 = 0.\nAnswer: -75, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 2*t + 9*t - 2*t = -410, 17*z + 15*t + 1981 - 719 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 5*m**2 + 5*m + 2. Let q be p(4). Let b(w) = 2*w + 2*w + w - q*w. Give b(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/675 and 79\/33.\nAnswer: 7425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 586125 is divided by 1106?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -32885 (base 11) in base 3?\nAnswer: -2102100200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 1)*(-v**2 + 4*v**2 - 5*v**2)*(41 + 82 - 4).\nAnswer: -714*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 6*r**2 + 5. Let n be m(6). Suppose -3*x = -5*i + 3908, n*i + x = 6*x + 3910. Let y = 280 + i. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -233539 divided by -1\nAnswer: 233539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 11:02 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/11? (a) 0.348 (b) -2 (c) 15 (d) -10\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 5*c + 7. What is d(8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34867.5 - 34868. Let y = -0.2 - -3.2. Which is the biggest value? (a) -21 (b) d (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2) - (sqrt(2) + (sqrt(12) + sqrt(72)\/sqrt(6))\/sqrt(6)) - (-1*sqrt(288))**2).\nAnswer: 8*sqrt(2) + 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9259 - -9257.7. What is the smallest value in 3, n, 1, 11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 smaller than -24.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -48 + 2?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -858403 equal to -858402?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15c43d (base 15) to base 12.\nAnswer: 429b1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*c + 50224 - 54474 = 0 for c.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and 40471?\nAnswer: -445181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*t + 164*t + 136*t - 514*t.\nAnswer: -51*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 0 + 28*b**2 + 3.\nAnswer: 28*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 16*i + 21. Let v be t(-17). Factor 0*b**4 + 7*b**2 + 3*b**v + 81*b + 74*b**2 + 6*b**3 + 21*b**3 + 0*b**3.\nAnswer: 3*b*(b + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3104*n**3*v**2*w**2 + 2*n**3*v*w**2 + 2*n**2*v**2 - 12*n**2*v*w - 4*n*v*w**2 + v**2 - 158*v*w wrt n.\nAnswer: 18624*v**2*w**2 + 12*v*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 402 + 57. Calculate the greatest common divisor of 17 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 4*g - 7*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7818 divided by 2159.\nAnswer: 7818\/2159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*c + 165, 2*s = -2*c + 4*c + 114. Suppose 24 = -2*h + s. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03703*246\nAnswer: 9.10938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 51979, 103899, 155771, 207595, 259371, 311099?\n\"Answer: -24*b**2 + 51992*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(756\/(-24))*2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2 = b, 0*i + 4*b = 2*i - 8. Suppose i*s - 4*y = -s + 23, 0 = 4*s + 2*y - 2. Let w = 5 - s. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -s + 2*s + 51, 3*l = -4*s - 17. Let o be 12 + l - (-2 - 12). Solve -2*p + o = 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 3*p - 2. Let y = 6 - 12. Is q(y) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 7 - 4)*(10*d + 114 - 114).\nAnswer: -290*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -12.04. Let t = -0.09 + m. What is the nearest to 1\/3 in t, 3\/7, 0.2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1195 and 3589\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 474403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41013912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.389 and -121.\nAnswer: 168.069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 3. Let t(v) = -390*v + 1191. Let f be t(3). What is the highest common factor of f and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27325643.\nAnswer: 27325643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*y - 3359 + 3163 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*h + 643*h + 5418 = 97*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-525)*-25)\/((-4)\/14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 74\/(-26) + (-162)\/1053. Let y(l) = -3*l**3 - 6*l**2 + 3*l + 5. What is y(d)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 50599338 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -12.8. Let p(w) = -20*w + 180. Let g be p(9). Which is the closest to -2\/3? (a) r (b) g (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -4 (c) 17 (d) 1\/4 (e) 0.19 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*1\/(-3)*42\/(-112)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 165899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*z - 4*x = -2531, 5*x = -3*z + 2533. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -28*f - 18 + 20*f + 16. Let x be (-4)\/(2\/(-1 + 5)). Calculate the remainder when v(x) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2878 + 2919. What is the highest common divisor of 5207 and u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*n - 5. Suppose 4*g - n = -1. Let y = 0.1 - 0.3. Is g smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3 - 5. Suppose -n*r + 2*s + 21 = -233, 0 = -4*r - 4*s + 548. Suppose -108 - 8 = -3*a - 5*i, -4*a + r = i. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37904 - -37907. Factor -2\/13*y**h + 8\/13*y**2 + 22\/13*y + 12\/13.\nAnswer: -2*(y - 6)*(y + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 5*o**2 + 4*o + 5. Let s(j) = 3*j**3 - j**2 + 1. Let w be s(1). Suppose -w*b = 4*k + 2, -8 = 4*b + 4*k - 0. Does 8 divide z(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2221022 + 210011?\nAnswer: 10201110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -20. Find the second derivative of -d**3 + 7 - 4*d + 0 - 24*d**w - 8 wrt d.\nAnswer: -6*d - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -3, -1711.01, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 25337726 divided by 31\nAnswer: 817346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, 4, -5, -275347, -2 in decreasing order.\nAnswer: 4, -2, -3, -5, -6, -275347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/6)\/((72\/8)\/18)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -0.4 (c) -2\/3 (d) -288\/55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*w = 46*w + 8, 16 = -4*b + 5*w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31224*u**2 + 8531027*u - 8531027*u - 4 + 4 + 3*u**2 + 0*u**2 - u**2 + (4 - 4 - u)*(2*u + 3*u - 7*u) + 4 - u**2 - 4 to y*u + s*u**2 + d and give s.\nAnswer: 31227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -196*j + 68. Let d be c(-17). Let x be ((-8)\/10)\/(20\/d). Is x at most as big as -135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 1432*x + 118857. Give l(-83).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w**3 + w**2 + 2*w + 1. Let x(q) = -q**2 + q + 1. Let d be x(4). Let f = -1 - d. Calculate the lowest common multiple of f and b(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39058 is divided by 279.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -110*k - 38, 0 = 109*k - 113*k + 5*t + 95 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 14269852.8 to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-6))\/i**(-1\/10))**(2\/99)\/(((i**(2\/5)*i)\/i*i)**(-2\/85)*((i\/(i*i*i**8*i))\/i)\/i*i*i**(-1\/3)) assuming i is positive.\nAnswer: i**(52769\/4675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**2 + 33*r + 8. List the prime factors of j(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 (base 12) in base 6?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - n**2)*(3 + 3 - 7) - 3*n**2 + 3*n - 3*n + n**2 - 3*n**2 + 8*n**2)*(2*n - 5*n + 5*n)*(-2*n - n + 0*n).\nAnswer: -24*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 20*u + 40. Let w be i(22). Let m(b) = -14*b + 2. Is 10 a factor of m(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, g: 1, f: 2, d: 1, p: 1}. Give prob of picking 1 f and 1 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -31*z - 8. Let r(c) = -159*c - 39. Determine -24*q(t) + 5*r(t).\nAnswer: -51*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4 + 0 - 1 + 2*y**2 + 5*y - 5*y**3 - 6. Let v(q) = 3*q**2 - 1 + 3*q**3 + 2 - 3*q - 4*q**2. Let l(a) = -4*n(a) - 7*v(a). Calculate l(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = r + 13504, 11023 + 56560 = 5*l + 4*r. List the prime factors of l.\nAnswer: 59, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*v**2 - 14*v**2 + v**2 + 67*v**2.\nAnswer: 98*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 4113?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 34, 44, 54, 64, 74?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -21. Suppose v - 75 = -74. Put v, 10, g, 5 in descending order.\nAnswer: 10, 5, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22*d*s**2*z + 2*d*s**2 + 2*d*s*z - s**2*z + 151*s**2 + s + z wrt z?\nAnswer: -22*d*s**2 + 2*d*s - s**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert ae1d1 (base 15) to base 11.\nAnswer: 349195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 + 802992*m + 88377520.\nAnswer: -4*(m - 200858)*(m + 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -54099900 divided by 540999\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/596668 and -73\/16?\nAnswer: 2386672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22, 52, 84, 118, 154, 192, 232?\n\"Answer: v**2 + 27*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -111*h**2\/2 - 193. Let t(v) = v. Give d(t(f)).\nAnswer: -111*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7\/6 + -5\/3. Let m = 2.1 - 2. Which is the closest to m? (a) q (b) 2\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -1840*b**3 + 1840*b**2. Let s(p) = 23*p**3 - 23*p**2. Let q(n) = -4*i(n) - 322*s(n). What is the third derivative of q(x) wrt x?\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(3 - 1 - 3)*(-74 + 74 + 7*h**2).\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (3 + -6 - -3)) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*f**2 + 6*f - 9 - 3*f**3 + 6 - f**2 in the form q*f + u*f**3 + t + l*f**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 10:55 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.221 and -5?\nAnswer: 1.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 + 60 + 31*q.\nAnswer: 31*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81270 is divided by 110.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45694 or 45695?\nAnswer: 45695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in -2\/7, 58, -0.5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 37*j**3 - 260*j**2 + 11*j + 44. Determine k(7).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1017 + -1016. Solve a - 7 = 3*p, 5*a + s = 8*p - 5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 3, 1, -3\/7 in decreasing order.\nAnswer: 3, 1, -2\/7, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 8*l**2 + 5. Let o be t(8). What is the second derivative of -4*u + 2*u + 5*u**3 - 5*u**3 - o*u**4 wrt u?\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(231\/(-120)) + (-51)\/(2499\/(-28)).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 257 divided by -33.\nAnswer: -257\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13045041157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*r - 11*r - 3*r**5 + 11*r wrt r.\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -16. Find the common denominator of 19\/2 and 10\/(-55)*94\/u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2175*f**2. Let d(k) = k**2 - 4*k**2 - 2*k**2 - 6*k**2 + 12*k**2. What is d(z(n))?\nAnswer: 4730625*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 5299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (0 - 1)*1. Suppose 15*k + 4*r = 13*k, 0 = -4*r - 4. Sort h, 5, k in descending order.\nAnswer: 5, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4527.572311 rounded to the nearest integer?\nAnswer: 4528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**2 - 4*g + 3930*g**3 + 3*g**4 - 3931*g**3 - g**2 as p*g**2 + n*g + y*g**4 + z + f*g**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 40*1055.6\nAnswer: 42224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -10*w**2 - 30*w - 59. What is n(-2)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2626637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 11*d + 6. Let j(n) = 3*n**2 + 34*n + 17. Suppose 43*v + 167 + 91 = 0. Give v*j(p) + 17*f(p).\nAnswer: -p**2 - 17*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 5*o + 24. Suppose -2*c + 8 = -3*q, 0 = -4*c + 2*q - q + 16. Let a be w(c). What is the highest common factor of 40 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 29 = r. Suppose 0 = h + 3 - 1. Calculate the lowest common multiple of (2 + -1 - h) + 2 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 5*o, -53*o + 52*o - 4*t - 20 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21513061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 3) + -51 + 45 - (48 + 2).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gcccigiic. What is prob of picking 2 g?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.273 + 698.727. Sort b, -1, -2\/7 in descending order.\nAnswer: b, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 11 + 12 - c**2 - c + c**3 + 10 - 31. Calculate d(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/18 - (-169156)\/117. What is the least common multiple of v\/8 + 1\/4 and 8?\nAnswer: 1448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 1.7. Let p = 6 - 6.1. Sort u, p, -3 in decreasing order.\nAnswer: p, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27 - 503?\nAnswer: -454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3130 (base 9) to base 11.\nAnswer: 17a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2387596*o**3*q**2 + 4*o**3*q + o**3 + 1544*o*q + 168*o wrt q?\nAnswer: 4775192*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 2*v - 2*v + (3*v + 2*v - 4*v)*(3 + 3 - 5))*(5*v**4 - v**4 - 3*v**4) + 0*v**5 + 3*v**5 - v**5.\nAnswer: 4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4372 - 4372.5. Which is the closest to -1\/11? (a) -1 (b) 4 (c) -3\/4 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + g - 15. Suppose 69*q - 72*q + 9 = 0. Let k(n) = -2*n**3 + 0*n**q + 3*n**3 + 1. Let c(x) = 4*x**3 - 2*x + 4. What is g*k(r) + c(r)?\nAnswer: -r**3 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -338*s**2 + 1727*s - 152. What is b(5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**6\/8 + k**4\/24 - 13*k**3\/2 + 2*k**2 - 4*k. What is the first derivative of v(z) wrt z?\nAnswer: -45*z**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -341901*g**3 + 151519*g wrt g?\nAnswer: -2051406*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.405 + -4.405. What is the nearest to 1\/4 in f, 3\/4, -186?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4244 is divided by 102.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 28*i. Let g(w) be the first derivative of -2*w**3 + 1065. Calculate g(f(d)).\nAnswer: -4704*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 28.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5579208 divided by 697401.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.055 - 0.055. Let s be 34\/(-4) + (-3)\/(-6). Let h be 2\/s*208\/65. What is the third biggest value in -15, v, h?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 12.33578 weeks?\nAnswer: 86.35046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055110 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.48 + 1.60137. Let h = a + -0.122. What is h rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.89 in 4, 1\/115, -5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 18*o**3 + o**2 + o - 1. Let f be 2 - (-3 - 1)\/(-4). Does 3 divide z(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34135113 (base 6) in base 4?\nAnswer: 3331231311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wlllrfrruwfuf. Give prob of sequence wf.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2. Let x(i) = -1093*i. What is s(x(l))?\nAnswer: 3583947*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 935\/(-35) + 3\/((-252)\/(-60)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -54 divided by -247162\nAnswer: 27\/123581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -32\/1335 (c) 9 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 5, 1 in increasing order.\nAnswer: -27, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50 + 71. Suppose -8*t + w + 3 = 0. What is the remainder when 142 is divided by t*-4*-2 + -1 + 1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -7*r**2 - 9*r + 6. Let q = 826 + -823. Suppose -4*l + 23 - 15 = -4*b, -l + q*b - 2 = 0. Let y(g) = -6*g**2 - 8*g + 5. Calculate l*m(k) - 5*y(k).\nAnswer: 2*k**2 + 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53829.99 milligrams to kilograms.\nAnswer: 0.05382999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**2 + 32193304*s - 96579948 = 0 for s.\nAnswer: -8048329, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 324182 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 276 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -1028*c - 2116. Calculate a(-2).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000647 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 565864963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 743, 736, 733, 740, 763, 808, 881?\nAnswer: 988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 345 - 344.99999859. What is j rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4)*-2)\/((-12)\/(-72))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.16 - -1.84. What is the third smallest value in h, -1, -137, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -10*y**2 - 44*y - 1. Let t(a) = 15*a**2 + 66*a + 1. Let g(j) = 7*i(j) + 5*t(j). Find the second derivative of g(b) wrt b.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n + 2898 = 44*n + 512 - 23 for n.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008130824 rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 3*d + 96, 0 = -v + 6*v - 5*d - 170. What is the greatest common factor of 11 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3136 and 6958.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**3 + 5*r**3 + 0*r**3)*(3 - 1 - 4) - 5*r**2 + 5*r**2 - 2*r**3 + (-3*r**3 + 5*r**3 + 4*r**3)*(5 - 6 + 5).\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 6*h**2 - 32*h + 106. What is s(6)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/10)\/(45 - 46)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 31\/4, 0.05, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + (-35710)\/(-108))\/((-31)\/(-2139)). Let i = l + -22877. Calculate the common denominator of 103\/52 and i.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57370 and 320.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 180*k - 163*k - 60 - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9267552401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1957 - 2434 = -a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11220002 - -11202?\nAnswer: 12001211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 64*f + 28. Let w(v) = 7*v + 3. Let h(z) = z**2 - 6*z - 27. Let m be h(-5). Calculate m*w(p) - 3*t(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -3, -53, 2 in descending order.\nAnswer: 5, 3, 2, -3, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.78 (b) 1 (c) 0 (d) 5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-1 - -10) + 2 - (331 + -319).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*m - 4*b = 83*m - 4, -3*m + 9 = -3*b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*f - 4*f - 3*f**2)*(f - f - f) - 27099*f**3 + 13531*f**3 + 13553*f**3 - 393 to k + b*f**3 + r*f + o*f**2 and give k.\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1398 - 1393. Let n(j) = -4*j**3 - 9*j**2 + 5*j + 1. Let a(b) = -6*b**3 - 13*b**2 + 7*b + 1. What is r*a(h) - 7*n(h)?\nAnswer: -2*h**3 - 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6*q**3 - 1. Let t be p(-2). Suppose 4*b - 3*s = -b + t, -b = -3*s - 19. Put b, -3, -4 in ascending order.\nAnswer: -4, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -69 - 4?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -282236, -282031, -281828, -281627, -281428?\n\"Answer: -r**2 + 208*r - 282443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5266494000 and 1200?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-2772)\/(-154)*5\/12).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 181 (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152 and 382717?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001000001110110100011 - 1101000?\nAnswer: -1001000001111000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 2)*(1704 - 3470 + 1560)*(2*q - q + 0*q)*(2*q**3 - q**3 - 3*q**3) to the form p*q**3 + g*q**2 + j + u*q**4 + d*q and give u.\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(200)\/sqrt(10) - (sqrt(25)\/sqrt(5))**2*-6).\nAnswer: -150 - 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 4. Let k(u) = 2*u**s + 4 - u**2 - 2. What are the prime factors of k(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -15. Suppose 0 = j*r - 27. Let k be 1*(-4)\/(-12)*r. Solve k*o = -2*c - 0*o - 8, 5*c + 4*o + 20 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 190759529 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 6*5*((1*sqrt(208) - sqrt(208)) + 4 - ((sqrt(208) - 1*sqrt(208)) + -4)))**2.\nAnswer: 58081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 5*x = -12, 119*s - 22 = 118*s + 5*x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11120 + -111011000002?\nAnswer: -111011011122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3 - (5357\/429 + -15). Let j(m) be the first derivative of -p*m**2 + 2 - 12\/13*m - 30\/13*m**3. Factor j(o).\nAnswer: -2*(5*o + 3)*(9*o + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 171 + 25. Calculate the remainder when l is divided by 67.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/5 - 572*f\/5 - 40898\/5.\nAnswer: -2*(f + 143)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y + 23. Let l = -79 - -86. Let d be m(l). Suppose -d*v = 3*o - 206, 294 = 3*v - 4*o + o. Is 21 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/18)\/(4\/30). Suppose 3*m = -s - 10, 2*w - 36 = 4*m. Is 15 a factor of -5*(w - 1)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 - 1 + 1)*(-249*x + 249*x - 334*x**2).\nAnswer: -334*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207 and 392219?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/5)*f**(-5)\/f*(f\/((f**(-4)*f)\/f))\/(f\/(f*f**4*f)))\/(((f\/(f\/f**0))\/(f*(f**(-1\/4)\/f)\/f))\/(f*f**(2\/7)*f**(-1\/5))) assuming f is positive.\nAnswer: f**(453\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/2 and -41\/2912974.\nAnswer: 2912974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**5 - 81*m**4 - 594*m**3.\nAnswer: 3*m**3*(m - 33)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -217827, -435659, -653493, -871329?\n\"Answer: -k**2 - 217829*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 6*y**2 - 30*y + 27. Give u(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhuuqqboou. Give prob of sequence qobq.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 638000 and 88?\nAnswer: 638000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**8\/3360 + i**6\/360 - i**4\/48 - 11*i**3\/6 - i. Let j(h) be the second derivative of s(h). Solve j(n) = 0 for n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fahr when four letters picked without replacement from rhrrffrrrmfrmmrhra.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 178931931 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 2156 = -2*r - 2010, -r = -1 for d.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + (-3)\/(-2))\/(3\/42). Suppose b = -3*d + 22. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 6:13 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2470 divided by -130?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 648\/13 + -9226\/195. Let a = k + -617\/60. Do a and -9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a meter in millimeters?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - -16?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-4) - (-7)\/(-4))*-4. Suppose -12 = -d*v + 2*v. Suppose -4*t = -4*f - v, -1 = 2*f - 0*f - t. Solve 5 = -f*m + s - 1, 16 = -4*s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6083.13 - 6083. Do 66 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 2\/3 (c) 15 (d) 0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20022102 (base 3) in base 10?\nAnswer: -4601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25882733287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 3 = 4*k. Let h(b) = b**3 + 6*b**2 + b + 7. Suppose -12 = -4*g - 36. Let m be h(g). Solve -q = -k*q + 5, m = -2*l - q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 292935*h + 23454000.\nAnswer: -3*(h - 97725)*(h + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-171 + 342 - 172 - 6*g)*(3 - 4 + 7 - 7*g) + 0*g + 2*g**2 + 0*g.\nAnswer: 44*g**2 - 29*g - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 428.6104 hours in milliseconds?\nAnswer: 1542997440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11577 and 98745.\nAnswer: 1678665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 270 and 6.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1546929, -3093853, -4640769, -6187671, -7734553?\n\"Answer: m**3 - 2*m**2 - 1546925*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - -2 - (-1 + 3). Let x(z) = -z**2 + 6*z - 5. Let k be x(4). Let b be (-3)\/1 - (-10 + k). Put 2, b, c in ascending order.\nAnswer: c, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/32*2 + (-2958)\/136?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -9. Let h = -13.5 + z. Let f = 269 + -1341\/5. Which is the smallest value? (a) 2\/5 (b) h (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**2 - 2 + 410*w**3 + 0 - 384*w**3.\nAnswer: 26*w**3 + 4*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73375487 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((21 - (-7788)\/(-372)) + (-33)\/31)*66 - -8\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40562168 to the power of 1\/2, to the nearest integer?\nAnswer: 6369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -153586*f**2 - 474743*f wrt f?\nAnswer: -307172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o + 3*o + 3*o)*(1 - 1 + 5) + o + o - 3*o + (-6 + 2 + 2)*(-10*o - 8*o + 10*o) as a*o + p and give a.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -23212799?\nAnswer: 23212804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 7*b + 6. Let h be g(6). Suppose 19 = 4*n - 1. Suppose -n*w + h*w = -45. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8254, 16101, 23938, 31759, 39558?\nAnswer: 47329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6931720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = l - 4*w + 5*w, 0 = -l + 3*w - 4. Let m(n) be the first derivative of 1\/2*n**2 + n - 3. Give m(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3107557309.\nAnswer: 2069, 1501961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -215, -407, -597, -785?\nAnswer: -971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2184\/(-52))\/((-1)\/9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*u**2 - 196\/3 + 2\/3*u**3 + 14*u.\nAnswer: 2*(u - 2)*(u + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -11. Let r(i) be the first derivative of -u + 2\/3*i**3 - i**2 - i. Determine r(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 15*s + 10. Let g be k(-14). Calculate the greatest common divisor of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0 (c) 11853\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 10*z - 5. Let f be x(-11). Suppose -20 = -f*w + w. Solve 3*j - 6*j - w*m = -32, -j + 24 = 4*m for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142216 (base 8) in base 10?\nAnswer: 50318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -485*y - 858 = -491*y. Find the third derivative of -269*l**2 - 10*l**2 + 11*l**2 - 152*l**3 - y*l**3 wrt l.\nAnswer: -1770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 190066751 to the nearest integer?\nAnswer: 13786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3449965529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-3))\/(2\/(-138)). Let r = j - -24. What is the least common multiple of ((-20)\/(-8))\/(r\/4) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253 = -27*f + 64 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -2114?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-16)*5\/(50\/16).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.148, 0.28, 837?\nAnswer: 837","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 1:27 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1419 (b) 3\/5 (c) 1\/53 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -5. Solve 0 = 4*h + 3 + c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16026*u**5 - 33*u**2 - 7*u - 16280*u**5 + 7*u**2 wrt u.\nAnswer: -15240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 119, 2\/7, -2, 2368, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.04 - -0.04. Which is smaller: 2\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vvvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 17*t**2 + 30*t + 6. Determine v(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 8 = 2*q, 0 = -11*r + 7*r - 2*q - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -34 - -7609?\nAnswer: 75b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223*o + 219*o = -16. Let s(g) = g**3 + g**2 - 19*g + 10. What is the smallest common multiple of 152 and s(o)?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -133 + 173.5. Let a = s - 47. Round a to one dp.\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10, -34, 34, 242, 638?\n\"Answer: 8*f**3 - 2*f**2 - 74*f + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of b**4\/18 + 2*b**3\/9 - 4*b**2\/9 - 76. Find v, given that l(v) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/16)\/((-432)\/192).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -30 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539833 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1305 is divided by 77?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-280)*8*14.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/66*(-110)\/(-35).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16607 (base 8) in base 9?\nAnswer: 11328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11173, -22344, -33515, -44686, -55857?\nAnswer: -67028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0.3, 0.007, 0.1, 3.5, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {b: 1, m: 1, s: 1, t: 4, y: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 5912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 7455762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24446314 (base 7) to base 13.\nAnswer: -5bbb53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004877 rounded to five dps?\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 341 - 0. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -1.1. Let o = -4.01 + 4.3. Let m = -0.01 - o. Which is the closest to k? (a) m (b) 0.7 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2064.04 - -1432. Let y = k + 632. Which is the closest to y? (a) 1 (b) 0.1 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r. Let j(h) = -1520*h**2 - 10. Calculate j(c(u)).\nAnswer: -38000*u**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 - -0.06. Let o = -78 - -236\/3. Which is the second biggest value? (a) l (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -6*j + j - 54130, 2*j + 54139 = 5*h. Suppose 10*t - h = -3159. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 18*m**2 + 20*m + 24. What is the units digit of t(17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*o - 34*o = 38*o - 59*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2)\/4)\/((-2)\/96) is divided by (-5)\/25 - 22\/10*-6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 2*i + 2 - 36 + 16.\nAnswer: 2*i - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, u: 3, q: 5, f: 1}. Give prob of sequence uwf.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 5*a + 4. Let j be n(-4). Sort -3, j, 4, 5 in descending order.\nAnswer: 5, 4, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -5*o + 10. Let l be 5\/7 + o\/7. Let i be l\/(15\/(-6) - -2). Let z(x) = x**3 + 3*x**2 + 3*x + 1. Determine z(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((3*(1 + 0 + (sqrt(200) - (sqrt(200)*-5 - sqrt(200)))))**2 + 0).\nAnswer: -352836 - 5040*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -617 + 557. Let s be -2 - (-93)\/36 - 10\/i. Sort 13, s, -2, 0.3.\nAnswer: -2, 0.3, s, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.07 (b) 4\/5 (c) 1435\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(84)*-2 - sqrt(84)) + -3*sqrt(84)*1)\/(sqrt(192) - (1*sqrt(192) + sqrt(192))*4).\nAnswer: 3*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t + 21*t - 5 = 0, 15 = -2*g + 3*t. Let d be 2\/((-24)\/(-9))*(-60)\/g. Solve -f - f + 2*v = 4, 0 = d*f + 2*v + 17 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -31, 697, 0 in descending order.\nAnswer: 697, 7, 0, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -919765, -1839518, -2759269, -3679018?\n\"Answer: z**2 - 919756*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/2086008 and -113\/249414.\nAnswer: 22946088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-11)\/7)\/(21\/(-51303)).\nAnswer: 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*m - r, 2*r - 3 + 34 = 3*m. Is (-1*37)\/(m - 8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 5 - 15)*(0*p + 2*p - p + (1 - 5 + 3)*(0*p + 0*p - p) + p + 0 + 0 - 2*p + 3*p - 2*p + p + 4 - 4 + 2 - 2 + 2*p + 16*p - 4*p - 2*p).\nAnswer: -315*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(1584) - (2 + sqrt(1584))**2) + 5 + sqrt(1584)*-1 + 5 - -5*(sqrt(1584) - -2*(sqrt(1584) + sqrt(1584) + 3 + sqrt(1584)))**2).\nAnswer: 4992*sqrt(11) + 386684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0658128 + -1073.4.\nAnswer: -1073.3341872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -3.5. Let d = -4 + 5. Let j be 0 - (2\/15)\/d. Sort j, v, 2\/15.\nAnswer: v, j, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-2) + (720\/(-24) - -32)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**2 + 439*g + 440. Let d be y(-1). Sort 1, -9, d, 19, -5 in descending order.\nAnswer: 19, d, 1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1784 - -1656. What is the second smallest value in f, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -589 take away 9?\nAnswer: -598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 681282388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249585 - 314.\nAnswer: 249271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n - 106*d = 101*d - 208*d + 110, -2*n + 18 = -3*d for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/sqrt(2) - sqrt(24))*-4)\/sqrt(8) - sqrt(36)\/sqrt(972)*6.\nAnswer: -2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1389819, 2779591, 4169255, 5558757, 6948043, 8337059, 9725751, 11114065?\n\"Answer: -9*y**3 + 1389835*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2690898 times -0.18?\nAnswer: -484361.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 523*y - 109 - 87 - 532*y + 203.\nAnswer: -9*y + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 7*x**2 - 138*x + 980. Let q(b) = -120*b**2 + 2345*b - 16660. Let u(y) = -35*j(y) - 2*q(y). Factor u(l).\nAnswer: -5*(l - 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67 - -100. Let y be 40\/(-3)*(-54)\/(-24) - -3. Let d = c + y. Solve 2*m + 0*m = d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72 + -73. Let a be -3*(-2 + 6\/9) + g. Suppose -2*n = -25 + a. Calculate the highest common factor of n and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24597981.1 rounded to the nearest 1000000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/2)\/(-5 + 8). Suppose 2*t = 2 - f. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -325.1 and 1.\nAnswer: -325.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -1)*(3288\/(-1918) + (-4)\/14). Solve 0*m = 5*k + m - 8, 4*m = -w*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13888165 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -9, 0.6, 5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-12))\/(1\/(-18)). Let h(z) = 21*z - 2 - 2 - 39*z + 1 + 21*z. Give h(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 6*z + 15. Let j be q(7). Suppose 0 = -14*k + j*k + 6. Solve 0 = f + 2 - k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 + 42 = 25*o. Suppose 0 = -p - 3*x + 7, -34 + 18 = -o*p + 4*x. Solve -p*c - 5*z + 9 = 0, 0*c - 45 = 5*c - 5*z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002497445 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*b - 1 = b, -4*b - 8 = 4*u. Suppose -5*j + u*h - 1 = -11, 0 = h. Suppose -o + 15 = j*o, -2*k - 4*o + 42 = 0. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28619 is divided by 270?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 844393241 - 3*v - 844393241.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -10*s**2 + 4*s - 3. Calculate l(4).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6830819 less than -17115.87?\nAnswer: 6813703.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3225517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g + 31. Let d be v(-15). Let i be d + (-4)\/6 - (-30580)\/33. What are the prime factors of (0 - -1)\/(9\/i)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from diduududiiudu. What is prob of sequence ii?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51 + -52?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 5*t - 6 + 40, 4*n - 3*t = 30. Let m(h) = 2*h**2 - 10*h - 14. Let w be m(n). Let v(g) = g + 2. What is v(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2547*b - 24. Let d(p) = -847*p - 7. Give 7*d(u) - 2*j(u).\nAnswer: -835*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 8409041?\nAnswer: -8409042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/42)\/(4\/((-2)\/2))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(sqrt(6)*-3 + sqrt(6)) + sqrt(17) + sqrt(1700) + 0 + ((sqrt(153)\/sqrt(3) + sqrt(51))*-5)\/(6*1*sqrt(3)))**2.\nAnswer: 47753\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -12 and -168166.6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.11 - 2.89. Is -1 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 - 17*x + 16. Let v be g(-9). Let k = 61 + v. Let u = 192 - k. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2242 and 15458.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 5)*(-1 - 1 - 35*h**2 + 36*h**2 + 5*h)*(162*h - 105*h + 124*h).\nAnswer: 362*h**3 + 1810*h**2 - 724*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 7*b - 2. Let n be r(-6). Let f be n\/(-6)*12\/8. Suppose 1 = f*v - 3*z + 6, 0 = 4*v - 4*z + 4. Let i(q) = q**2 - 2. Determine i(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 * 1585\nAnswer: -49135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 788227 divided by 5?\nAnswer: 788227\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*p - 19 = -0*p, -7 = -d + p. What are the prime factors of d - (-21 + 6\/(-3))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 256617333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1355 - -1360. Suppose 9*m - m = -16. Sort t, -7, m, 2 in increasing order.\nAnswer: -7, m, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oros. What is prob of sequence ros?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and 2.9001?\nAnswer: -3.19011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(8\/5)\/k**14*k**(-2\/45)\/((k\/(k**5*k))\/k) assuming k is positive.\nAnswer: k**(-58\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/104 in 66, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18723 - 18732 = 3*a - 3*x, 3*a = -x - 12 - 9 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5711, -19095, -32481, -45869, -59259, -72651, -86045?\nAnswer: -99441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-560)\/(-26180))\/((-4)\/(-22))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 1366 = -28634. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 64566879, 64566874, 64566867, 64566858, 64566847, 64566834, 64566819?\n\"Answer: -y**2 - 2*y + 64566882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 15*y - 8. Determine h(16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10742 = w - 83739. Let i = w + -67396. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8639*v + 47 - 47 + 12418*v.\nAnswer: 3779*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 2, 1\/7, 1\/58, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 5*s + 10. Let h(z) = 2*z**2 + 14*z + 22. Let d be h(-5). Let y be u(d). Suppose -5*m = y - 9. Is m equal to 1\/103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 53226633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 35491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**2 - 2696*q + 446176 = 0.\nAnswer: 292, 382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/48*(-26)\/(-13))\/((-3)\/(-18))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -413021 + -4?\nAnswer: -413025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 4*r - 19, 4*l + 4*r - 6*r = 12. Let c = -0.3 + -2.7. Let d = -5 - c. Sort d, -0.2, l.\nAnswer: d, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 8 = -0, 5*m + 2*u = -142. Let l = 28 + m. Let o(g) be the second derivative of -g**5\/20 - g**4\/3 - g**3\/6 + g**2\/2 - 2*g. Calculate o(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68\/((-4692)\/207)*(-4)\/(-27).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -150 + 90. What is the common denominator of 5\/(20\/3) + (-327)\/q and -109\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -427*w - 4318 = -429*w. Let c = -228 + w. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u - 2. Suppose 5*a = -3*b - 20, 5*a + 20 = u*b - 0*a. What is the closest to b in 10, 5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-56)*604\/(-453)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 4. Let d be y(6). Differentiate 3 + 0 + 4*l**2 - 2*l**d with respect to l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -117 - -144. Calculate the remainder when 103 is divided by f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1668 by 12.\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 2*t**2 + 3. Let x(p) = -4*p**3 + 7*p**2 - 11. Give -22*n(v) - 6*x(v).\nAnswer: 2*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -54 - 178\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y + 40 = -45 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ha when two letters picked without replacement from {j: 1, h: 1, i: 3, y: 1, t: 3, a: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 6 + 9. Let h(r) = 2*r**3 - r**2 + 99*r - 397. Let k be h(4). Suppose -p*z = -9 - k. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, t: 3}. Give prob of sequence mtm.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x - 15. Let d be t(5). Suppose 0 = -2*h - 5*r + 10044, d*h - 26091 = r - 1008. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 9, -2, 12, -3, -82\/23, -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 9. Suppose -p*z + 15 = a - 0*a, -14 = -4*a + 3*z. Let t = 16 - a. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 2:14 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540 = -12*c - 61*c - 44 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen halves of a century?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 7429.290886.\nAnswer: -7429.490886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0260777 to 3 dps.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, o: 3}. What is prob of picking 3 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/56 - 2\/8. Suppose 0 = 3*k - 8*k + 2*k. Suppose k*g - 4 = -4*g. What is the closest to 1 in g, -0.2, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2)*(-4)\/10. Let x be -5 + -1 - (99 - (-362117)\/(-3451)). Which is the second smallest value? (a) o (b) -1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27203, -29904, -32605, -35306, -38007?\nAnswer: -40708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00340605955 to seven decimal places.\nAnswer: 0.0034061","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 70 + -43441?\nAnswer: -43351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 4*n - 2*b - 182, -2*n + 2*b = -146. Suppose 6*m = 447 - n. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 + -56. Is 13 a factor of 40\/(-10) - (-48 + z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-4))\/(((-36)\/(-32))\/9). Suppose -4*u = -2*h + 456, -3*u - 88 + 1202 = 5*h. Suppose -4*f = p*f - h. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2410 + 2419. Solve v - h = 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*a + 258*a**3 - 57*a + 271*a**3 + 141*a - 40*a.\nAnswer: 529*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-105)\/(-63)*(-11)\/(275\/(-60)). Solve 0 = 2*x - 4, 3*x - 8 = 3*b - o*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -823 (base 10) to base 6\nAnswer: -3451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66759 and 884884.\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -1. Let t(k) = -24*k - 48. Determine 5*t(p) - 240*w(p).\nAnswer: -120*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 6:56 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*y - 348, 0 = 3*y - 1 - 8. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -201 - -5?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -92, -135, -178, -221, -264?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*q - 5*q. Let z = q + 3. Solve z*g + 20 = 4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 744*u - 1. Let k be r(1). Suppose -s = 5*x - k, 3 = -2*s - 1. Suppose -5*n + 282 = 2*o, 2*n - 5*o + 13 = x. List the prime factors of n.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(((k**(-4\/9)\/k)\/k)\/k))**(-9)*k\/(k*k\/(k*k**(14\/11)))*k*k**(1\/9)*k assuming k is positive.\nAnswer: k**(-3625\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15732812, 15732811, 15732810, 15732809, 15732808, 15732807?\nAnswer: 15732806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -630 + 666. What is the greatest common factor of a and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -206 + 207 + 0 + -1 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*l + 16 = -3*f, 0 = 4*l - f + 16. Let k = -29 - -34. Let a be (-1)\/l*(-15)\/k. What is the closest to -2 in -0.4, a, 2\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 10 + 16 = 0. Suppose 3*g - 10*g = 210. Let h = g + 31. What is the greatest common factor of h and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*i + 33*i - 86020 = -25*i. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-1696.\nAnswer: -6784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*j + 4019 = 1113, j = -3*v + 2173. Is v a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 3*p + 0*p - 5 + 5*p. Let z be q(9). What is the greatest common factor of z and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 19\/34 - (-1)\/(-2). Suppose 1 = 3*p - b, -5*b = -0*p - 5*p - 15. Suppose -i = 4*y + 19, 0*i = -4*i - p*y - 6. Which is bigger: w or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u - 214*u**2 + 20*u + 458*u**2. Is t(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*t + 9 = 2, 2*t + 8 = -3*o. Let k(a) = -19*a + 4. Let n be k(o). Find the second derivative of -7*b - 23 + 15*b**4 + n - 19 wrt b.\nAnswer: 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -10*u + 19*u - 6*u - 8*u - 8*u. Let m(d) = d**2 + 25*d. Calculate m(h(k)).\nAnswer: 169*k**2 - 325*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3835 + 37?\nAnswer: -37fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*k - 10 - 8, -x - 2 = -2*k. Let l = 31780 + -8680. Let c be (16\/(-12))\/((2\/l)\/k). Round c to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 12. Let j(s) = s**3 - 9*s**2 + 7*s + 11. Let a be j(b). Suppose -a*r + 68 = r. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 2*f + 349 - 378, -23 = 6*z - f for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in 46, 0, 0.6, -2\/27?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -138, -212, -288?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 + 22 = -11*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 c when four letters picked without replacement from {b: 2, g: 4, c: 2, l: 8}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -253 - -253.07. Let y be 81\/(-63) + (-2)\/(-7). Which is the closest to 1? (a) y (b) o (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -194871? (a) -0.4 (b) -5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9334 + -180483?\nAnswer: -171149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(-18 + 25 + 3*l - 2*l)*(-l**2 - 3*l**2 + 5*l**2).\nAnswer: -l**3 - 7*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxxpxdexxxxxxd. What is prob of sequence exd?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2 - 3. Let i(n) = -16*n - 6. Let m be i(u). Suppose w - 2*w = -4*j - 25, -4*w + 3*j + m = 0. Calculate the remainder when w is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90658 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 1879013.172.\nAnswer: -1879016.172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*6*(((sqrt(1700) + 0)*3 + sqrt(1700))**2 + -4 + sqrt(1700) + (6*(sqrt(1700) + 0))**2 + 1).\nAnswer: -2121528 - 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-119*t - 152*t**2 + 228*t + 2 - 110*t)*(-2*t + 0*t + t).\nAnswer: 152*t**3 + t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 6 + 2*h - 23*h**2 + 8*h**2 + 14*h**2. Let n be g(-4). What is the greatest common divisor of n and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19461293 is divided by 432473.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, 0.4, 0.49, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 123.8 - 124.8. What is the nearest to 3 in 5, -2, -5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44990.\nAnswer: 2, 5, 11, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4377043150?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/((-81)\/6)*20\/8.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w - 2. Let r be u(-2). Suppose -3*q + 2*t = -0*q - r, -3*t = 0. Suppose -l - 12 = -3*c, c - q*l + 11 = 2*c. Solve j + 16 = c*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7*(12\/(-4) - -4). Suppose 0 = -h*f + 8*f. What is the second smallest value in f, -3\/4, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 13656*m + 218770. Calculate i(-16).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, -23, 2, -4, -3 in decreasing order.\nAnswer: 62, 2, -3, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*q = 0. Suppose 0 = 5*i + 4*f - 17, q = 4*i + 4*f + f - 19. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002106 to 7 dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 77*i + 1835. Give n(-23).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 - (1 - 2)*70. Suppose -61*w = -64*w + 441. What is the greatest common factor of w and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -395 - -394.6. Let o = -7 - -3. What is the nearest to 0.2 in d, o, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 - -3. Is x\/(-2) - 1\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1591613 and -35713.\nAnswer: -1627326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-3)\/(-36)*-2). Let g(m) = 11*m. Let k be g(c). Let s = k + -34. Calculate the highest common divisor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9aa282 (base 13) to base 14\nAnswer: -6b00a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-2)*(-42)\/9*(-121)\/((-245630)\/348).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w**2 + 3*w - 7. Let m(i) = -6*i**2 + 4*i - 8. Let z be 14\/(-5) - (-30)\/(-150). Give z*m(b) + 4*y(b).\nAnswer: -2*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 10:53 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**0*t)**(-43)\/(t\/t**(-2\/19)*t*t**(-1\/4)*t*t))**(4\/21) assuming t is positive.\nAnswer: t**(-6829\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5047*k + 3275*k - 2*k**2 + 985*k.\nAnswer: -2*k**2 + 9307*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1000 = -439*u + 447*u. Calculate the lowest common multiple of u and 750.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 1, -199 in decreasing order.\nAnswer: 2, 1, -1, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-30)\/(-35))\/(3\/(-21)). Let k(h) = h + 2. Calculate k(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**4\/11 - 60*o**3\/11 + 414*o**2\/11 + 832*o = 0.\nAnswer: -32, -11, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -10*g + 297. Let u(o) = 12*o - 298. What is 7*p(z) + 6*u(z)?\nAnswer: 2*z + 291","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 63\/5*c**5 + 167 + 0*c**4 + 0*c**3 + 0*c**2 + 178*c. What is the derivative of d(o) wrt o?\nAnswer: 252*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaap. What is prob of sequence ap?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 11:22 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2026431130 to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29794, -57886, -85984, -114088, -142198, -170314?\nAnswer: -198436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4686671 to the power of 1\/2, to the nearest integer?\nAnswer: 2165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.968987 micrograms in nanograms?\nAnswer: 2968.987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22685 - -22683. Put 1\/68, y, 31 in ascending order.\nAnswer: y, 1\/68, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1617 - -1648. What is the remainder when d is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9662 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 3*r + 4 = 0. Let w = 1 - r. Is w not equal to -4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10c8b5 (base 16) in base 2?\nAnswer: 100001100100010110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109a64d (base 14) to base 16.\nAnswer: 789add","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 0 - o - 2*o - 1 - o**2 - 2 + o**3. Suppose -3*s = -0*s - 6. Suppose 5 = m + s. Calculate j(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -183 less than 0.0270141878876?\nAnswer: 183.0270141878876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -5997\/27134 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*l**2*p**3 - 241*l**2*p + 2*l*p**3 - 74*l*p**2 wrt l.\nAnswer: -6*p**3 - 482*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*r - 15 = 3*u, 2*u - 5*r - 35 = 0. Suppose 4*y - u = 5*y. Which is the second biggest value? (a) 1\/6 (b) -4\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2\/(c**(-1)\/c))**(-3\/4) assuming c is positive.\nAnswer: c**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2\/15 - 319232*n\/15 + 12738633728\/15 = 0. Calculate n.\nAnswer: 79808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 5 + (-2 - 3 + 7)*(3 + 1 - 5))*(7*c + 66 - 66)*(3*c**2 + 3*c**2 - 5*c**2) + 21*c**3 - 4*c**3 + c**3.\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 228346782?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -2*q**4\/27 + q**3\/27 + 8*q. Factor s(c).\nAnswer: -2*c*(4*c - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/11 - 16*q**2 + 2290*q\/11 - 7300\/11.\nAnswer: 2*(q - 73)*(q - 10)*(q - 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4529, -9038, -13533, -18008, -22457, -26874?\n\"Answer: u**3 + u**2 - 4519*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*k + 4 + 8, 0 = 3*x + 2*k - 12. Suppose 6 + x = 5*l. Let d be 0*(-2)\/(-8)*(-1 - 0). Solve 2*f + 0 - 10 = d, -5*y - 5 = -l*f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-6*(sqrt(77) + -1*sqrt(77) + sqrt(77))\/sqrt(7))**2.\nAnswer: 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*k - 24. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*t**3 + 22*t**3 - 12*t**3)*(6 - 2 - 1).\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5268743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/20245792 and 50\/1898043?\nAnswer: 60737376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15 + (-30)\/(-3))\/1. Sort r, 9, -62 in descending order.\nAnswer: 9, r, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144 - 27 + 26 + 509*z**3.\nAnswer: 509*z**3 + 143","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55512 + 246*k + 55512)*((-2 - k + 2)*(3 - 6 + 4) - 3*k + 2*k - k) + (0*k - k + 3*k)*(-1 + 2*k + 1).\nAnswer: -734*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 49873505 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: Let o(j) = -26*j**2 + 302*j - 9. Let d(q) = 6*q**2 - 75*q + 2. Determine -9*d(v) - 2*o(v).\nAnswer: -2*v**2 + 71*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r - 2*r + 2*r)*(3*r - 19*r - 13*r) + (-r + 0*r + 0*r)*(-5 - 6*r + 5) + 5*r**2 - 25 + 25 as f*r + i*r**2 + y and give i.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, h: 3}. Give prob of sequence hgg.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 415355.7 millimeters?\nAnswer: 415355700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13799936*l**2 - 15725984 wrt l.\nAnswer: -27599872*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 8:19 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 3:33 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 4*d**2 + 5*d + 11. Let v(j) = j**3 + 2*j**2 - 3*j - 6. Let w(a) = -3*h(a) - 5*v(a). Let y(u) = 2*u**3 - 2*u**2 + 2. Give -3*w(f) - 4*y(f).\nAnswer: -2*f**3 + 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81 - -92. What is the third derivative of j*z**2 + 3*z**2 - 9*z**6 - 10*z**6 - 5*z**6 wrt z?\nAnswer: -2880*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**8\/14 + h**4\/12 + 5*h. What is the third derivative of m(d) wrt d?\nAnswer: -480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -2*i + 3 - 1, 4 = 5*h + 4*i for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-228)\/(-342))\/((-4)\/6). Which is smaller: -3\/668 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, s: 2}. What is prob of sequence xss?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 30600*q + 61184.\nAnswer: 4*(q + 2)*(q + 7648)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**4\/15 - 2*i**3\/15 + 4*i**2\/3 - 16*i\/15 = 0 for i.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 656176.8 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**0*y**17 assuming y is positive.\nAnswer: y**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-2))\/(10\/20). Put 3, o, -0.3 in increasing order.\nAnswer: o, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*y - 190*y - 14 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -174 * 5.\nAnswer: -870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*k + 2)*((-1 - 5 - 1)*(3*k + 0 + 0) - k - 2*k + 5*k).\nAnswer: -38*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11142892 is divided by 6136?\nAnswer: 6052","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*x + 5*g, 3*x + 6 = 2*g - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 8*g**2 + g + 9. Suppose -76*y + 300 = -86*y. Let r = -38 - y. Calculate f(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33175 divided by -57.\nAnswer: -33175\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -1) + -16 + (-45 - (-80 + 51)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 640796*i**4 + 8354554*i?\nAnswer: 7689552*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 39 = 15*r - 17*r, -46 = 3*r - 5*n for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0*x + 2, -r - 2*x = -42. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 - 16074*o - 11561136.\nAnswer: -3*(o + 856)*(o + 4502)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -12. Is ((-54)\/45)\/(s\/(-10)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2483, 4868, 7149, 9332, 11423, 13428, 15353?\nAnswer: 17204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -2 + 4 + 9 + (11 + -15 - -4)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*t**2)*(0*t + t**2 + 0*t) - 5*t**4 - t**4 - 4*t**4.\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*m + 387*m - 94 = 109 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2212444 (base 5) to base 7\nAnswer: 220146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5797?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -89, -108, -127, -140, -141, -124?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -282, -4381, -5.\nAnswer: -4381, -282, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 10:09 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 4 (b) 21 (c) 7 (d) -241\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*j + 47 = -5*d, -13*d + 3 = -14*d + 3*j for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 5*j + 4. Let g be k(-5). Suppose -4*z - g*v + 22 = -2*v, -5*z + 20 = -5*v. Differentiate -25*u**4 + 26*u**4 - z - 5 wrt u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51591537?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 98234563?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a hour in seconds?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -2 + 0*x**4 + 0*x**4 + 3*x**4 - x**2 - 4*x**4. Find the second derivative of v(b) wrt b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*a + 427*a - 374*a - 1283 = -11921 for a.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 35*t**2 + 78*t - 4. Let x be v(-1). Let m be 6\/10*(-10)\/(-8). Which is the third biggest value? (a) 5 (b) x (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 5, -11, -45, -103, -191, -315, -481?\nAnswer: -695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (16 - 24) + (1 - 14877646\/(-7)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13300 divided by -3325.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16210 divided by 2.\nAnswer: -8105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + n - 12, -2*s = -4*n + 4 - 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o + 39. List the prime factors of t(12).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/(k*k**(2\/7)))\/k*k)\/(k*k*k**(-11)*k*k)*(k*(k*k**1*k*k)\/k)**26 assuming k is positive.\nAnswer: k**(782\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*z - 14 = 0, -2*z - 4 + 2 = 4*v. Calculate the least common multiple of 280 and (-52)\/39*(-1 - v).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4658 or 4968?\nAnswer: 4968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/5344040 and -73\/28857816?\nAnswer: 144289080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 3, 8037, -2, 174 in decreasing order.\nAnswer: 8037, 174, 5, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert a75 (base 13) to base 3.\nAnswer: 2110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1609000723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13472 - 3?\nAnswer: 13467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 12:06 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4))**(-22)\/((g\/(g**(3\/7)\/g)*g*g)\/((g\/(g**(-2\/15)*g*g))\/g)) assuming g is positive.\nAnswer: g**(-2297\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 774 (base 12) in base 13?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from yyyyyyytyttyyyyy?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38548 and 10?\nAnswer: 192740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 33. Suppose b - 21 = -4*h, 3*h + z*b - 28 = h. Suppose -5*l + h*r + 20 + 8 = 0, -4*r + 12 = 0. Solve -45 = -5*d + 5*q, 5 = d + 2*q + l for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 476 = 2*l, -164*l + 329 = 3*c - 169*l. Let t be (-14)\/(-8) + 1\/4. What is the greatest common divisor of t and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-78)\/(-104)*(-16)\/(-6). Let l be (-3 - (-5)\/2)\/f*-4. Suppose -3 = c - l, 34 = m - 2*c. Is 30 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 6 + 74. Let r = 13 - u. Is (-4 + 4)\/r + 397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130 + 130 + 2*m - 67*m**2 + 24*m**2 to the form j*m**2 + f + p*m and give j.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**3 + a**2 + a - 1. Let p be q(1). Let v be (-20)\/(-3) + p\/9. Solve -g = -3, -3*l + 2*g = -v*l - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f - 9. Let s be u(9). Suppose -2*d - 2*d + s = 0. Calculate the lowest common multiple of d and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89 + 88. Let w = 0.9 + 0.1. What is the nearest to h in w, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (945\/(-28))\/(-15)*6\/81\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*n + 14805*n**2 - 109*n - 1 + 220*n.\nAnswer: 14805*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14, -69, -174, -341, -582, -909, -1334, -1869?\n\"Answer: -2*v**3 - 13*v**2 - 2*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 12:36 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 1893 = 4*y, -v - 1304 - 130 = 3*y. Is -476 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0416? (a) 6 (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 210\/24 + 2\/8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lgo when three letters picked without replacement from gyidodl.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3 - 5 + n - 4 + 1 - 5. Give z(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16928*r**5*y + r**4*y + 42*r**3 + 2204*r**2*y + 30*r**2 + 21*r*y wrt r.\nAnswer: 1015680*r**2*y + 24*r*y + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 56.680351 days?\nAnswer: 8.097193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -367638?\nAnswer: -367638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - -25. Let q = 37 - u. Determine c so that 2\/7*c**2 + 0*c**3 - 2\/7*c**4 + q + 0*c = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -252056 by -2627.\nAnswer: 252056\/2627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24285*h - 19636*h - 24406*h + 29 + 14070*h.\nAnswer: -54257*h + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1*(-4 + sqrt(1300) + 0 + sqrt(1300) + sqrt(1300) + (sqrt(1300) - (-1 + sqrt(1300) + sqrt(1300) - sqrt(1300) - sqrt(1300)))*-4)*5 + 0))**2.\nAnswer: 144000*sqrt(13) + 1227600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 0.05, 5\/4, -0.5, 0.4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -5170.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/3)*v\/v**(-1\/3))**16*((v\/v**(-3)*v*v)\/(v*v**(1\/8)\/v*v*v))\/(v**(3\/4)*v\/(v*v\/(v\/((v**(-4)*v)\/v))*v)) assuming v is positive.\nAnswer: v**(259\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72352 and 98.\nAnswer: 506464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -14*k + 23. Suppose 3*o - 6 = -0*o, 3*f - o = -23. Let n = 13 + f. Let t(x) = 5*x - 8. What is n*i(h) + 17*t(h)?\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqyvidq. Give prob of picking 1 i, 1 q, and 1 o.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4, 13, 50, 113, 208, 341, 518, 745?\n\"Answer: n**3 + 4*n**2 - 2*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 54*q**2 - 22*q - 196. Let d(u) = -101*u - 65 + 52*u + 20*u**2 + 42*u - 3*u**2. Let y(t) = -16*d(t) + 5*x(t). Factor y(r).\nAnswer: -2*(r - 6)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z - 6. Let g be j(3). Let q(d) = -d**3 - 13*d**2 - 13*d - 13. Let o be q(g). Let k = o + 33. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w + 3 + 5*w**3 - 4*w**3 + 1. Let r be d(3). Let s be r\/(-12)*3\/(-2). Solve -q - 4*t = -2*t - s, q - 4 = -3*t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 3) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 511 and 2135?\nAnswer: 155855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4929024201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -19. Let p be f\/4 - 3\/12. What is the highest common factor of p and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - (2 + -1*sqrt(72)))**2.\nAnswer: -48*sqrt(2) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-123)\/2214)\/(16\/24)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)\/u**(2\/5))\/((u*u**(2\/17))\/(u**(-2\/7)*u)) assuming u is positive.\nAnswer: u**(-1073\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -988*s - 989*s - 1246*s + 4775*s - 1114*s.\nAnswer: 438*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 41988863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*d + 153 = -100 - 144 - 183 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 792534937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/93493477 and 99\/167476?\nAnswer: 373973908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13, -74, -207, -430, -761, -1218, -1819, -2582?\n\"Answer: -3*y**3 - 18*y**2 + 14*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24.14 and -33111.\nAnswer: -799299.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((1 + sqrt(1900) + sqrt(1900))*1 + -3*sqrt(1900)*-1 - (4 + -6*(sqrt(1900) + 3))))**2.\nAnswer: 2640*sqrt(19) + 230044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*k + k + 3456 = 0. Calculate the highest common divisor of 216 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*q - 27 - 18*q - 5*q**2 + 2*q**2.\nAnswer: -3*(q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 340 = 34*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 0.5. Let c = -0.1 - o. Let d = c + -0.19999956. Round d to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 q when three letters picked without replacement from dqqdgqmdmd.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10.3438*-0.06\nAnswer: -0.620628","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 7*f + 23. Let y = -4 - -14. Let q be n(y). Let m(b) = b + 7. Determine m(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -u**5\/30 + u**4\/6 + 7*u**2 + 7. Let p(q) be the second derivative of y(q). Let s(d) = -2*d. What is p(s(h))?\nAnswer: -8*h**2 - 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*l + 6305646 = 6310252 for l.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -5, -2.244096, -3, 3 in decreasing order.\nAnswer: 3, -1\/8, -2.244096, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -8833?\nAnswer: -8838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (4 - (-5 - -14)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 14*g - 36 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-234)\/(-52)*(-12)\/(-297).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/56084 and 73\/45440058.\nAnswer: 636160812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sz when two letters picked without replacement from pszmpzzzzssms.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {o: 1, r: 12, y: 2, l: 3, b: 1}.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, p: 7, z: 6}. What is prob of picking 1 m, 2 p, and 1 z?\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 139*h**2 - 879*h - 5334. Calculate r(-6).\nAnswer: 4944","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*l + 164 = -40. Solve 11 = 3*v - l*t, 6*v - 5*v = -4*t - 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -97398 + 0.12138.\nAnswer: -97397.87862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*l + 5*k = -42*l - 57, 78 - 7 = -4*l - 9*k for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -7. Let v = -12 - n. Does 2 divide 15\/6*(-8)\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 0.2, 5, 10.2, 1\/7, 2\/3 in decreasing order.\nAnswer: 10.2, 5, 2\/3, 0.2, 1\/7, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -5. Let k = j - -25. Suppose -4*r + 2*d = -0*d - 4, -2*d = -5*r + 7. What is the remainder when k is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -4. Let d = -388.1 - -388. Let u = 1 - 1. Which is the closest to u? (a) 1\/6 (b) s (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 294392, 588784, 883176, 1177568, 1471960?\n\"Answer: 294392*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f**2 - f**3 + f**2)*(2401 - 1671 + 1846) as n*f + u*f**2 + k + d*f**3 and give d.\nAnswer: -2576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22783995 and 9360?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1791047233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 5*k**2 - 41*k - 134. Give i(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3311 - 31?\nAnswer: 3220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 886000 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-39)\/((38\/(-8) - -4)\/3). Let g = h + 211. List the prime factors of g.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.34 and 0.035?\nAnswer: 1.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10055 + 3?\nAnswer: -10052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a year in months?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30253720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + (128\/(-60) - -3)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 8:05 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*j + 74*j = 3. Suppose -4*o + 8 + 0 = 0. Suppose 2*x = 5*a - 35, 12 = -o*a - j*x + 45. Solve -2*p - n - 7 = -4*p, -n + a = 2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*c - 358261 + 358825 = 199*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16032, 15874, 15648, 15354, 14992, 14562?\n\"Answer: -34*s**2 - 56*s + 16122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -275596158*j**3 + 7946454*j**2 - j + 6?\nAnswer: -1653576948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 81\/12 - (124\/16 + -7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9\/4 (b) 0.02 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 63\/4*k + 15\/4 + 3*k**2 = 0. Calculate k.\nAnswer: -5, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**3 - 4*h**2 + 4*h**3 + 3*h**3 to f*h + m + u*h**3 + c*h**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fsissivsiiixissss. Give prob of picking 2 i and 1 f.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.1 + -0.4. Let d = t - -0.82. What is d rounded to one dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 5*i - 6, -2*i + 8 + 0 = 3*r. Suppose -22 = -r*s + 38. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 18607 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 143 and 132.\nAnswer: 18876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 - 19*k - 9. Let n be s(-9). Suppose 2*y + 2*a - 150 = n, 4*a = -4*y + a + 305. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1001 - -1349. Is 36 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2))**(-1\/32) assuming g is positive.\nAnswer: g**(1\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 - 89*y**2 - 7*y**3 - 18*y**3 + 4*y**3.\nAnswer: -24*y**3 - 89*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, j: 1, d: 1}. Give prob of sequence rdj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2315704?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3763.69749 rounded to the nearest 100?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -116 - 99. Let o = -204 - s. What is the lowest common multiple of o and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -1. Let a(h) = -21*h**2 + 13*h**2 + h + 9*h**2 - 5. Give a(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 62168 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121 (base 5) in base 11?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 12:16 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11628 and 1071.\nAnswer: 81396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 397, 1021, 1915?\nAnswer: 3079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 3*l - 3*l)*(-13*l - 30 + 30) + (1 + 1 - 1)*(l**2 + 2*l**2 - l**2) + 4*l - 2*l**2 - 4*l + (l + 0*l + l)*(-l + 4 - 4).\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (408\/(-544))\/((-3)\/5).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-30) - 87*(-10)\/(-900) - 2440\/48.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55242241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -z + 12 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(-30))\/(10*(-1425)\/(-90))?\nAnswer: -1\/190","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z**5\/3 - 1695*z**4 + 247568*z**3\/3 - 4053620*z**2\/3 + 7850752*z - 19741120\/3 = 0. What is z?\nAnswer: 1, 14, 20, 5036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 981*a - 2 = -2*v + 977*a, 2*v - 2*a = 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2474 and 48?\nAnswer: 59376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 18350993.2966?\nAnswer: -18350996.2966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1386490 is divided by 1366.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 5:46 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4126.\nAnswer: 2, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 35*v**2 + 6*v - 13. Let b be z(3). Let r = b - 159. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1607848 (base 9) to base 2\nAnswer: 11011001101010001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -137 + 93. Let m = -70 - n. Which is bigger: m or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 - -26. Let s be (z + 14)*(0 - -3). What is o in -3*o - 8*o**2 + o**2 - s*o**3 - 7*o**2 - 4*o**2 = 0?\nAnswer: -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.07, 0.05, -92?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -302, -604, -906, -1208, -1510?\n\"Answer: -302*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3521*u**2 + 58*u - 3520*u**2 - 548*u + 959*u**4 wrt u?\nAnswer: 23016*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 435, 3847, 13115, 31167, 60931, 105335, 167307, 249775?\n\"Answer: 488*m**3 - 4*m - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 1c3455c?\nAnswer: -1c34558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125858*w**2 - 125574*w**2 + 15 - 15.\nAnswer: 284*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -984*h**2 - 8*h + 40. Let c be b(4). Let d = -9315 - c. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*i + 29. Suppose i*k = 3*v + 397, 2*v + 2 - 4 = 0. Let p = 102 - k. Solve l = -p*l + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.3 - 10.7. Let o = 1.4 + t. Which is the nearest to 0? (a) o (b) 1 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 8309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 6 = -0*t. Let g be 8\/t*(-9)\/(-6). Let f be (-1 - -2)\/(g - -5). Solve f = 3*w - 4*v, 3*w - 2*w + v = 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -9*q**3 + 3*q**2 + 3*q + 1. Calculate c(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/3*(-15)\/2. Suppose 0*l - p = 5*l. Let i be -2 + (3 - 2 - l). Solve -m - 5*h - 4 = -i*h, -3*m + 3*h = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4981553*b**4 - 11880094*b wrt b?\nAnswer: -59778636*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 144 = -2*h + 3*k, 3*k = -2*h + 172. What is the greatest common factor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119682?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11*3\/(-15) + (-4)\/5. List the prime factors of r\/(3\/2 + (-1410)\/936).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -400 bigger than -402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axexaaeaxxeeea. What is prob of picking 2 a?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38088 to the power of 1\/2, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -33*c**3 + 6*c**2 + 15*c - 102. List the prime factors of m(-13).\nAnswer: 2, 3, 12203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 9*u - 27. Suppose 4*f + 136 = -108. Let y = f - -73. Let d be r(y). Solve 4*c - 25 = d*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -v + 3. Let x = v + 1. Is (2 - -27) + (x - 3) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-210)*15)\/(1\/17)*1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351914082?\nAnswer: 2, 3, 13, 1663, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 160\/(-40)*(-525)\/(-140)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 11*l - 1. Give g(3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3967?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 8:19 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -462230555 greater than -462230554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0073 * -3078.\nAnswer: -22.4694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 g when three letters picked without replacement from {g: 4, v: 1, o: 1, l: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -172 + 190.4. What is i rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 203\/868*624\/(-9048)\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12741 (base 10) in base 3?\nAnswer: -122110220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 - 5034?\nAnswer: -5010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 4*q. Differentiate 6*m + 1 + 0 + q with respect to m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-14)\/1218*3. Which is the nearest to h? (a) 5 (b) -1\/5 (c) 2\/25 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17677, -17717, -17779, -17869, -17993?\n\"Answer: -s**3 - 5*s**2 - 18*s - 17653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -17*v**2 + 589*v + 2. Let c(y) = -16*y. What is c(h(p))?\nAnswer: 272*p**2 - 9424*p - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73291612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 21 - 49. Solve -2 = z - b, -5*z + b = 1 - a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68363.\nAnswer: 137, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/552607 or 0?\nAnswer: 10\/552607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1277021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13112?\nAnswer: 2, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4953 - 1?\nAnswer: 4952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 7 = 5*p, -4*g - 2*p = -11 - 3. Let v(n) = n + 1. Let x be v(-3). Let j = x - -6. What is the remainder when j is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1157*x**3 - 1566*x**2 wrt x.\nAnswer: 6942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2741401843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/15)\/(1\/55). Suppose 5*i = 5*k - 15, 13*i - 30 = 9*i - 2*k. Solve 2*z + d - o = -2*z, i*d = -z + 13 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, r: 2, d: 4, x: 4, l: 2, t: 6}. Give prob of picking 1 t and 1 k.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1104958*n**2*p**3 + 179*n*p**2 + 3*n*p + 155*n + 3*p**3 + 2 wrt n.\nAnswer: -2209916*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5002\/16 - (-15)\/40?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-8)*t*t**(5\/4)\/t)\/(t**(1\/8)\/(t\/t**(2\/27))) assuming t is positive.\nAnswer: t**(-1069\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 548*t**2 - 3. What is the tens digit of w(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x + 2. Let t(c) = -8*c - 5. Let i(v) = 13*v + 33. Let w be i(-2). Give w*o(m) + 3*t(m).\nAnswer: 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 471041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2583 + 165 = -102*y + 6190 + 7166 for y.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4) + (-10)\/100. Let w be (-4)\/14 - (2 - 2). Which is the closest to f? (a) 0.1 (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k**2 + k + 2. Let a = 2298 - 2297. Let j(s) = s**2. Determine a*j(x) - f(x).\nAnswer: -3*x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 319869819 a multiple of 5123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a = -16*a. Suppose a = 10*c - 201 + 41. Let r = 5 + -3. Solve 2*g - c = -r*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 0*h**2 - 3 + 0*h + 0*h**4 + 14\/3*h**3 - h**5. Find the third derivative of v(n) wrt n.\nAnswer: -120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c**2 + 1009*c - 57215. What is b(86)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*t - 18, 3*k + 5*t - 17 = t. Is (44\/28 - -1)*k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 21*o + 17*o - 40*o. Let g(t) = -7*t**2. Determine g(u(s)).\nAnswer: -28*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 31 - (12\/(-30) + (-16)\/10). Let r = -218 + a. Let x = r - -2037\/11. Sort 4\/3, 1, x, 0.5 in increasing order.\nAnswer: x, 0.5, 1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1254 (base 6) to base 2\nAnswer: -101000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1131178 milligrams in tonnes?\nAnswer: 0.0000000001131178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 160662099 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.07 + 0.07. Let c = i + 6. Let v = -5.56 + 1.56. What is the smallest value in c, v, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1984, 1999, 2014, 2029, 2044?\n\"Answer: 15*x + 1969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n**2. Let s(v) = v**2. Let t(z) = -o(z) - 5*s(z). Let g be t(0). Suppose g = -2*f + 6, 0 = -5*p - f + 3 + 10. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/244 and -1\/16.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, o: 1, j: 2, q: 10, m: 2}. What is prob of picking 2 s?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 47*r**9\/15120 + 7*r**5\/60 + 3*r**4\/2 - r**3\/3 - 37*r. Let q(h) be the third derivative of y(h). Differentiate q(b) wrt b.\nAnswer: 188*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30170613?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3173726 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from skppdstpdpto.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80\/19 + -621\/152. Solve -c*m**2 + 1\/8 + 0*m = 0 for m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4598.585 years in centuries?\nAnswer: 45.98585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*r + 332*r - 230 = 151*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1159 - -49873?\nAnswer: 4aa21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 4*m**2 + m - 8. Let i be -3*(8\/(-30))\/((-98)\/35 + 3). Give c(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18015*p**2 - 554*p - 11 wrt p.\nAnswer: 36030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1381 + -489. What is z rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 + h - 10*h + 2.\nAnswer: -9*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31068990 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/47 + 180\/517. Let f = 37\/33 - m. Let 2*n**2 + f - 2\/3*n**3 - 2*n = 0. Calculate n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0076 * 2\nAnswer: -0.0152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 89, 185, 319, 491, 701, 949, 1235?\n\"Answer: 19*s**2 + 39*s + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3769*i. Let l(n) = 855595*n. Calculate 6*l(s) - 1365*o(s).\nAnswer: -11115*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 times -10.79?\nAnswer: -12.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -26. Suppose -q - y = -2*q. What is the second derivative of 6 + h**5 + 2*h - 6 - q*h**5 wrt h?\nAnswer: -140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*m**3 + 0*m - 2*m + 3*m + 2 as d + n*m**3 + f*m + p*m**2 and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -4, -342 in decreasing order.\nAnswer: -4, -39, -342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4504 by 2252.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*d - 1842 = 0, -12*m + 2466 = -8*m - 6*d. Calculate the remainder when m is divided by 269.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318778 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -46*l + 142. Calculate a(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27796031 by -4.\nAnswer: 27796031\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**19)**(5\/9)*(((c\/(c\/(c\/c**(11\/7))*c))\/c)\/c)**11 assuming c is positive.\nAnswer: c**(-1810\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 + -91 - (-9 + -2)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m**2 - 2*m + 2. Suppose 2*w - 3*w - 3 = n, 2 = -4*w - 2*n. Let x be k(w). Suppose 2*u - x = 16. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**2\/13 - 84*q\/13 - 82\/13 = 0.\nAnswer: -41, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (70\/(-42))\/(3 - 124\/8)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*2\/(-10))\/(213\/1420)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -4 + 3 + -6 - 7\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 544\/102 + (-1 - -6)\/(-1). Let 0 + 1\/3*t**3 + g*t - 2\/3*t**2 = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 6*t - 5. Suppose 5*u - 20 = 0, 2*o - 5*u = 6*o - 36. Let k be j(o). Suppose 4*x + 415 = 6*f - f, -f = 5*x - k. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 4 + 3 - 17*l**2 - l + l**2 - 2 + 2 + (0*l - 2*l + 0*l)*(l + 0*l - 3*l) as y*l**2 + c*l + o and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7031 (base 9) in base 16?\nAnswer: 140b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -h**2 - 1. Let m(y) = -540*y**2 + 478 + 509*y**2 - 478. Calculate u(m(z)).\nAnswer: 62*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1537.\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90459 and 171.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 8*f - 22, 2307*z + 3*f + 22 = 2305*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - ((-2 - 0) + -1 + 1). Let m(b) = 9*b**2 + 5*b + 2. Suppose 4 = 4*j - 8. Let l(q) = j*q - 4 - 10*q + 1 - 13*q**2 + 0. What is s*l(r) + 7*m(r)?\nAnswer: -2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 200825eb + 3?\nAnswer: 200825ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 564883, 1129681, 1694479?\n\"Answer: 564798*i + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10 - (0 + -2)\/(-2). Let x(c) = -10*c - 29. Let b be x(-4). Let j = b + d. Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 33 = 4*a + 13, -a = -3*g + 1. Let z = 16 + 4. Let h be (-8)\/z - 1334\/a. Calculate the highest common factor of h and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**4\/13 - 508*d**3\/13 - 198*d**2 - 4136*d\/13 - 2072\/13 = 0.\nAnswer: -2, -1, 259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*u + 2*u + 19 = 0, 4*l = -3*u - 7. Let d = 15 - l. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1011546 is divided by 405?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 v when four letters picked without replacement from xvxxvxvxxv?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 14*l + 92. Determine s(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, -4, -2, 2 in ascending order.\nAnswer: -4, -2, 2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -5751975\nAnswer: 28759875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**3\/3 - 7*l**2\/2 - 5*l. Let k(x) = 1 + 5*x - 3*x + 1 - 8. Calculate -7*k(d) + 6*n(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-181)\/(-2172))\/((11\/(-26))\/11).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 2*d**2 + 2*d + 7. Is c(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*n - 173*n = -35 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 991.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3725205\/19 at least as big as -196064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 0*d**2 - 3*d**2)*(2*d**2 + 3*d - 3*d) - 90*d**4 - 9 + 96*d**4 + 26*d - 28*d.\nAnswer: 2*d**4 - 2*d - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b. Let c(d) be the third derivative of -2*d**5\/15 - 9*d**2. What is c(x(p))?\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 63630 to the nearest 1000.\nAnswer: 64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5249 - -2765. What is x rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/17))**34\/(m**6)**(-34))**5 assuming m is positive.\nAnswer: m**1040","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 + 3*f - 3. Let q(o) = 2*o**2 - 8*o + 8. Let m(x) = 25*x**2 - 95*x + 95. Let u(s) = -3*m(s) + 35*q(s). What is -3*u(j) + 5*y(j)?\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 3*y - 5*q - 121, 0 = 4*y - q - 150. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x**2 + 7*x - 5*x + x + 0*x + 2. Let i be m(-1). Find the third derivative of -7*z**2 + 104*z**3 + 2*z**i - 104*z**3 wrt z.\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) -5 (b) 2 (c) -1.7 (d) -5155\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1086 (b) -1\/4 (c) -1\/16 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 6*t**2 - 2. Let q(j) = -j**3 + 5*j**2 - 2. What is -6*q(s) + 5*v(s)?\nAnswer: s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + (sqrt(18)*1)\/sqrt(9) + (sqrt(2) - (sqrt(2) - -5*(-2*sqrt(2))**2)) + 2.\nAnswer: -36 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 178 + 508. Let d = c - -125. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7921 - 22*m + 3994 + 3849.\nAnswer: -22*m - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 15*m = -8*m - 13*m - 58, 5 = -m - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 3*m**2 - 7*m + 6. Let n be s(4). What is the units digit of n\/(-9) + (-39)\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**2 - 2*d + 2*d)*(-d**2 + d**2 - 3*d**2)*(-4*d - 199 + 199).\nAnswer: -60*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 + 11*l + 21. Let g be v(-7). Suppose -27 = -s + g. What are the prime factors of s?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 76768835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a tonne?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*v**4 + 14557218*v**3 - 96187918*v wrt v.\nAnswer: -36*v**2 + 87343308*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.6 + -4.9. Let p = -13.3 - w. Let i = 17 + p. What is the second smallest value in i, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3 - 16*u**2 + 41*u - 26 = 0. Calculate u.\nAnswer: 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2332 is divided by 1155?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d0c22 - -1?\nAnswer: 1d0c23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 12*g - 4*x + 8075 = 0, -2*x = -2*g + 3230. Does 85 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -6*h**3 + h**2 - 7*h + 3. Let c(w) = -2*w + 6. Let u be c(6). Let t be x(u). Let n = t + 463. Round n to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-223405)\/292145)\/(1\/17).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of a**5\/30 - a**4\/24 + 10*a**2. Suppose -5*l = 3*c - 8, -2*c + 4*l - 3 = -c. Calculate r(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19064025*o**3*w**3 - 19989246*o**3*w**2 - w**2 wrt w.\nAnswer: 114384150*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 3*a - 3*a)*(4*a**2 + 0*a**2 - 5*a**2) + (34*a + 6*a + 8*a)*(-4*a - a + 3*a)*(-4*a**2 - a**2 + 4*a**2).\nAnswer: 98*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*c - 181 + 731. Solve 75*h + c = 85*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -2*x**4\/3 - x**3\/6 + 37*x**2\/2 + 3*x - 58. Differentiate i(y) with respect to y.\nAnswer: -16*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -717*u. Let d(r) = -8*r**2 - 184*r + 16. What is d(g(z))?\nAnswer: -4112712*z**2 + 131928*z + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7\/4, 0, 2\/13 in increasing order.\nAnswer: -1, 0, 2\/13, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b - 10. Suppose x + 2*z + 3 = -5, 2*z + 8 = -4*x. Give u(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/588 and 17\/588.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/182 and 17\/273?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 110 in -57, -3\/2, 2\/3, -0.33, 0.2, -2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237*s - 118*s - 121*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.392 - 1.39196154. Round k to 6 dps.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19013985, 38028012, 57042041, 76056072, 95070105, 114084140?\nAnswer: 133098177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + t**2 + t. Let p(x) = -2*x**2 - 5*x. Calculate -p(g) - 5*u(g).\nAnswer: 5*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 1 = 3*f. Calculate the least common multiple of (-75)\/(-6)*12\/15 and f.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5 = -5*z, -19 = n - 3*z - 4. Let u be 80\/3 - (-2)\/n. Let i = -132\/5 + u. Which is the closest to i? (a) 0.1 (b) 1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 6. Let l be (-1)\/4 + 1736\/32. Let m be (1\/(-3))\/((-3)\/l). Suppose -m = s - 1. Calculate i(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*g = -0*g - 25, w - g - 9 = 0. Suppose -8 = -5*v + w. Suppose -a - p = -0*p + v, -2*p = -a + 9. Solve -a = 2*c + 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26618 is divided by 305?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.772372 times 5?\nAnswer: -3.86186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 7*d**2 + 32*d - 138. What is the remainder when a(9) is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12750\/(-675)*234\/(-65).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q = 72*q - 2340. Solve q*o = o + 352 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) -10 (c) -0.19 (d) 1 (e) 3.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -5*a + 17. What is the tens digit of 2\/a - (-705)\/55?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**3 + 4*i**2 + 3*i + 2. Let r be z(-2). Let y be 2 + r + (2 - -1). Solve 0 = -l + 4*a - y, 4*a = 4*l + 2 + 14 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**4\/24 - 2733*a**2. Let u(w) = -321*w**2. Calculate x(u(p)).\nAnswer: 321*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-903)\/(-43) + 6*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t**3 - 5*t**3 - 5*t**3 + 9*t**3.\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1690 or 1691?\nAnswer: 1691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 101*l + 2 - 2 + 105*l.\nAnswer: -l**2 + 206*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (284\/(-112) + 34\/119)\/((-6)\/3232).\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -114? (a) 100 (b) 0.2 (c) -0.1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/200 and (-1 - 1 - 378\/(-238))*(-4)\/1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*z + 1579 + 111. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 22001?\nAnswer: -21333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 48901689 and 97803377\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -19*h - 8. Let k(o) = 20*o + 10. Let t(z) = -4*k(z) - 5*p(z). Let m(c) = -9*c**2. Calculate t(m(x)).\nAnswer: -135*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 24280480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1568?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 2, -2\/11, -5, -10.\nAnswer: -10, -5, -2\/9, -2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 4, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(-6)\/(-30)*-15 - -29. Find the second derivative of j*v**2 + 83*v**2 - 171*v**2 + 97*v wrt v.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 8576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -191, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28*a**3*x**3 + 20*a*x**3 + 119*x**3 - 4*x wrt a.\nAnswer: -84*a**2*x**3 + 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -1\/6*o**3 + 5*o**2 - 7*o + 0 - 7\/12*o**4 + 1\/20*o**5. Let l be a(7). Solve 4*m = l*m - 4*y, 3 = -3*y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 7*c - 7. Give q(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*d + 19, -d - 13 = 11*o - 15*o. What is the third derivative of 23*i**6 + 2 + 2*i**d - 2*i**2 + 2 + 13*i**6 - 2*i**3 wrt i?\nAnswer: 4320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 28, -2\/17, -4 in increasing order.\nAnswer: -4, -2\/17, 12, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.1 + 15.1. Let p = n + -12. Let x = -1.9 + 2. Which is the third smallest value? (a) x (b) p (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 4*h - 38, -2*y - 4*h - 3 = -7*h. Let b = 10 + y. What is the greatest common factor of b and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 283*f - 4392. What is v(15)?\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 346163555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*q**2 - 7*q**4 - 26*q**4 + 51*q**2)*(4 + q - 4).\nAnswer: -33*q**5 - 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - g = 8702, -64*o - 3*g = -61*o - 13044. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17732.4041 - -17733. What is b rounded to 2 decimal places?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 8:07 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, -106, -104, -102, -100?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*o + 377*o + 1568 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1132)\/(-2547) - 4208\/234. Is -19 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 194?\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*b + 168*b + 187*b + 76*b + 290*b to d*b + s and give d.\nAnswer: 655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(((-4)\/(-2))\/(-4)). Suppose -d*a - 4 = -12. Calculate the least common multiple of a and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1044 = 7*h, 15*h - 608 = 11*h + 4*j. What is the remainder when h is divided by 127?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x. Let z(g) be the first derivative of -g**3\/3 + 7*g**2\/2 + 18. Give -21*r(a) + 3*z(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**2 + 7412*a**3 - 14803*a**3 + 7394*a**3 - 4*a**2.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22650.19 millennia to centuries.\nAnswer: 226501.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 - 19980*q**2 + 19984*q.\nAnswer: -4*q*(q - 1)*(q + 4996)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, u: 4, v: 1, b: 10}. What is prob of sequence bi?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + r**2 - 3)*(8*r**2 + 5087*r - 5087*r + r**3).\nAnswer: r**5 + 8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11)\/(-4) - 1\/(-4). Suppose -6 = -3*u - 4*d, -j*u = 2*d - 8 + 2. Calculate the remainder when u is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(6\/(-8))*(-90)\/80*-2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 6\/214357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 159 - 27. Differentiate 18 - b*w**4 + 2 + 138*w**4 wrt w.\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -214, -1723, -5862, -13957, -27334?\n\"Answer: -221*x**3 + 11*x**2 + 5*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 i, and 2 c when four letters picked without replacement from icincnnnntlcnn?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 5*m - 235*u + 245*u + 120, 0 = -m + 5*u + 60 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 - -23 - (38 - 16).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -2*h**3\/3 + h**2\/2 - 2*h. Determine x(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 393 = -6*v - 3*l, -3*l + 471 = -5*v. Let g be (v\/81)\/((-4)\/6). Determine r so that -8\/3*r - 2\/9*r**3 + g + 4\/3*r**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 19*y - 1007. Give c(54).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-10)\/(b**1*b) assuming b is positive.\nAnswer: b**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(19) + 2) + sqrt(19) - (sqrt(684) + -1 + sqrt(684)))**2*-4.\nAnswer: -12880 - 312*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -199*f**5 - 4*f**4 - 747*f?\nAnswer: -3980*f**3 - 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 4699 (c) -107 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*(2 + 3*(sqrt(108) + 3) + -1 + -4)*4)**2.\nAnswer: 124416*sqrt(3) + 580608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a + 2. Suppose -8 = 30*l - 28*l - w, w + 20 = -5*l. Let j(g) = -2*g - 3. Give l*j(t) - 3*k(t).\nAnswer: 2*t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1. Suppose n - 4*n + 4*y = -14, n + y = i. Are n and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 7*j**3 - j**2 + 3*j + 6. Let u(v) = 6*v**3 + 3*v + 6. Let s(m) = -6*u(m) + 5*y(m). Suppose 0*o - 4*o - 20 = 0. Give s(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f. Let y(j) be the second derivative of 71*j**3\/6 - 2*j**2 + 779*j. Determine y(k(o)).\nAnswer: -142*o - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27738 and 2?\nAnswer: 27738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24542 - 24342. What is the smallest common multiple of w and 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-138)\/(-4) + (-1)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 33139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kfgkfgkkkkfkgfgf. Give prob of sequence fggf.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*b + 4*b**2 - b + 4*b + (b**2 - 2*b**2 + 0*b**2)*(1 + 0 + 0) in the form d*b + a + z*b**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 7436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53869447 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 165 (c) 1\/2 (d) 4 (e) 3\/14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from uyyglxuduuxudduuxdxu?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22)\/(-6) + (-2)\/3. Suppose g - 5*g = -3*x - 42, n*g - 33 = 3*x. Let w = 32 - 7. Calculate the remainder when w is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 86, 75, 30, -67, -234, -489, -850?\n\"Answer: -3*o**3 + o**2 + 7*o + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 149*p**2 - 5*p + 5. Is v(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -999*q**2 - 688*q**2 - 36935*q + 18466*q + 18469*q + 4 to the form k*q**2 + x*q + i and give k.\nAnswer: -1687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -23553, -94145, -211801, -376521, -588305?\n\"Answer: -23532*l**2 + 4*l - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**4\/2 + 63*q**3 + 1047*q**2\/2 - 2898*q + 3174 = 0. Calculate q.\nAnswer: -23, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*r**3 - 41*r**3 + 112*r**3)*(-4*r**2 + 0*r**2 - r**2).\nAnswer: -505*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1215027 is divided by 378?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (388\/5)\/(10\/25). Is p\/22 - 8\/(-44) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 169793 and 97428.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -223 + -34501?\nAnswer: -35124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -39071 less than or equal to -39068?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 6*x**2 + 2*x - 14. Let n be c(-6). Let r = -21 - n. Let l be (1 - r) + 0 + 8. Solve 0*b = -l*b - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -0.093\nAnswer: -0.0372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65436 and 1148?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -4. What is the lowest common multiple of 18 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or 63123?\nAnswer: 63123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1065 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -527*w**3 + 19*w**2 + 19*w + 2. Give j(-1).\nAnswer: 529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. Let y(f) = 0*f + 0*f**2 - f**2 + f. Let w(h) = h**3 - 11*h**2 + 10*h. Suppose a = -2*a - 66. Give a*y(j) + n*w(j).\nAnswer: 2*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 0)*232\/(-120)*1 - 6.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 790 and -3427370.\nAnswer: -3426580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4778 - -4781. Which is the nearest to -0.1? (a) 0.8 (b) z (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114167009317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1400594310*k**4 - 438131696 wrt k?\nAnswer: -5602377240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/5 + 71551264*m\/5 - 639947922499712\/5.\nAnswer: -2*(m - 17887816)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -69655 and 20.\nAnswer: -69635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3724582, -7449170, -11173758, -14898346, -18622934?\n\"Answer: -3724588*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -15, -3 in ascending order.\nAnswer: -15, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-7))\/(18\/63). Solve -q + 3 = -m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 + 18 + -43 - 113\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 89*z**2 - 3*z + 7. Let m be c(5). Suppose -137*p - 155*p + 17 = 309. Is 8\/28 - p\/7*m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 43 = 34. Let z be 4\/(-6)*g*8\/4. Is (z - 21\/(-6)) + 111\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -10*u**3 - u. Let o be l(1). Let d(k) = -260 - 250 + 1032 - 12*k - 257 - 267 - k**2. Determine d(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-u - 1 + 1)*(8*u - 5*u + 4*u) + 0*u + 0*u + 2*u**2 + 5 - 6*u**2 - 5)*(-3*u + u + u)*(2 - 6 + 3).\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101 - 97. Let g(l) = k*l + 15*l - 18*l. Let z(i) = -2*i + 2. Give g(z(n)).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30152 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**3\/6 - 5*q**2\/2 - 314*q. Give h(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3 = -c - 2*g, 0 = 3*c - 5*g - 42. Let n(m) = m**3 - 8*m**2 - 7*m - 14. Let p be n(c). What is the derivative of -48 - 43 + 104 - p*o wrt o?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3321232 (base 5) to base 10.\nAnswer: -57692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32.36147l?\nAnswer: 32361.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19363 - -19362.35. Put 4\/5, 16, t in descending order.\nAnswer: 16, 4\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 0 + -2 + -1 + 16. Let r be (-3 - (-20)\/6)\/(2\/t). Solve -a - 5 = -r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7969000 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 28*c - 30 = 24*c, 4*r + c - 13 = 0. Let x(j) be the first derivative of 0*j - 24 + 3\/4*j**4 - 3\/2*j**r + 0*j**3. What is u in x(u) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 5 = -2*q, -5*q + 3*z - 5 = -16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -4*o + 16, 5*j - 10*o = -22*o + 9*o - 27 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**3 - 21*g**2 + 28*g - 58. Let j be i(-12). Solve 40*o = j*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*k + 410 = 0, -2*y - 824 = -6*y + 3*k. Suppose -86*d + 440 = -592. Suppose 11*t = d*t - y. List the prime factors of t.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence al when two letters picked without replacement from llal.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.190172 microseconds to milliseconds.\nAnswer: 0.003190172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.95 + 0.05. Let g = -2.6 - -2.7. Is k less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 74 (b) 25 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*w**3 + 57 + 31*w**3 + 8*w**3 + 87 + 6*w**3.\nAnswer: 6*w**3 + 144","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23003 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11693755.\nAnswer: 5, 2338751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1121.\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -0.03, 3, 0.1 in decreasing order.\nAnswer: 3, 0.1, -0.03, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06283 - -7.91517. Let w = r + -8. What is w rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**4\/5 - 75213*b**3\/5 - 94305816*b**2 - 1413910404*b\/5 = 0 for b.\nAnswer: -12534, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -10813\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-12)*g)\/g)\/g*g*g*(g*g**(-2\/23))\/g)**21 assuming g is positive.\nAnswer: g**(-4872\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3821, -3818, -3809, -3794?\n\"Answer: 3*m**2 - 6*m - 3818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2.1, 0.1, -0.08, 2\/17, -1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 177 = -3*t, 134*i - 74*i - 62 + 266 = -2*t + 65*i for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*w**4 + 20995*w**3 + 61688392*w**2 wrt w?\nAnswer: 168*w + 125970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -37*z**2. Let n(d) = -20*d - 6533 + 6533. What is v(n(a))?\nAnswer: -14800*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**1)**29 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5.05682km?\nAnswer: 5056820000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 0.3, -0.7, -1\/2, 5 in descending order.\nAnswer: 5, 0.3, -1\/2, -0.7, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -421, -847, -1273?\n\"Answer: -426*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (8 + -12)) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 168 = l. Suppose -z + l = 2*z. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -9, 81 = 4*z + f - 18. Is z greater than or equal to 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 15*g**2 + 16*g + 5. Let x be t(-16). Suppose 0*y - x*y = 15. Let v be 725\/10 - y\/(-6). What is the greatest common factor of 180 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 - (-3 - (-1 + 1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 3*c**2 - c**2)*(0*c + c + c) + (-27562 + 6*c + 27562)*(-3*c**2 - 3*c**2 + 4*c**2).\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**6*w)**(-43)*((w**(-2\/17)*w)\/w)\/w**(-3))**33 assuming w is positive.\nAnswer: w**(-191367\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11559440 and 4192?\nAnswer: 2096","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -18. Solve -t = -3*n + 7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16246590 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9470 by -1.\nAnswer: 9470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (885*u - 885*u - 17*u**2 + 2)*(63*u**2 - 41*u**2 - 46*u**2).\nAnswer: 408*u**4 - 48*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -13*g. Let p(c) = 18*c - 35122. Calculate w(p(j)).\nAnswer: -234*j + 456586","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (-6 - -66 - 1). What is the remainder when 986 is divided by 36\/z + (-14)\/10*-79?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 v when two letters picked without replacement from {v: 3, e: 7}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 49*p - 8. Let j(n) = -148*n + 22. Determine 4*j(a) + 11*o(a).\nAnswer: -53*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29 and 313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -349620, -355131, -360642, -366153, -371664?\n\"Answer: -5511*k - 344109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 381897 divided by 1.\nAnswer: 381897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 0*h - 1\/6*h**2 + 7\/18*h**3 + 1. Factor l(f).\nAnswer: f*(7*f - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2408 - -3910. Suppose -3*u + 2*u + v = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2335 + 8*q**3 + 4676 - 2341.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 6:31 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, 4, 34 in descending order.\nAnswer: 34, 5, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((((-3)\/(-3))\/1)\/((-98)\/14))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37117907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 49494, 49577, 49660, 49743?\n\"Answer: 83*y + 49411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(((m*m\/(m\/(((m\/m**(-8\/5))\/m*m*m)\/m*m)))\/m)\/m*m))\/m*m**9*m**5\/(m*m**12) assuming m is positive.\nAnswer: m**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -5)*2\/(-4). Let n(m) = 2*m**2 - m - 1. Let t be n(y). What is the first derivative of 0*d**2 + t*d**2 + 3 - 4 wrt d?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a microsecond in nanoseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.6657 + 4.3343. What is the third biggest value in 5, 6, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1233869.\nAnswer: 7, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -98, -206, -364, -578, -854, -1198, -1616?\nAnswer: -2114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2844 - 2845 - 2838 + 8541 + 54*g as a + q*g and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-106)\/39114*-164)\/(70\/18*4\/2)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*q + 27, -4*g + 3 - 23 = 0. Suppose 2*t + q*t - 944000 = 0. What is t rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8355 + -8350. Let r = -27\/8 - -213\/56. Which is the closest to 4\/9? (a) j (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18953 (base 16) in base 2?\nAnswer: -11000100101010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4233473?\nAnswer: 4233473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 4, -234113, 0.7, 0 in descending order.\nAnswer: 4, 0.7, 0, -17, -234113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d - 9. Let k be m(3). Suppose j = 0, k = 2*v + j + 1 - 11. Suppose u - 253 = c + 3*c, v*c = 3*u - 766. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 74 in -5, 4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 0*b + 9. Suppose b*n - 208 = n. Let i = 62 - 36. What is the greatest common divisor of n and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -9*k + 7. Let n(w) = -17*w + 15. Let z(f) = -2*f**2 - 93*f - 579. Let d be z(-39). Give d*n(h) - 11*q(h).\nAnswer: -3*h + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/16 - (-275)\/(-520)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 16*y - 12.\nAnswer: -4*(y + 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 314548 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -2. Let s = 2.71 - 3.01. Let y be 2\/(-8) + (-13)\/(-20). Which is the closest to v? (a) y (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27176 and 11176130?\nAnswer: 44704520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 592 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -289 + 294. Let u(m) = -3*m**3 - 3*m**2 + 6*m + 3. Let l(v) = 2*v**3 + 4*v**2 - 6*v - 3. Let r(a) = -4*l(a) - 3*u(a). What is r(y)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 2245776.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 144\/(-396) - 14\/22. Put b, -4, -104 in ascending order.\nAnswer: -104, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 4*s - 92, 2*h + 0*s - 34 = -s. Let r be ((-9)\/(-6))\/(9\/12) + 1. Find the second derivative of -h*q**3 + 9*q + 19*q**3 + r*q**5 wrt q.\nAnswer: 60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4066 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 0, 2*f + 2*t = 4*f - 164. Suppose 79*z - f*z + 237 = 0. Suppose 0 = 18*o - 155 - z. What is the remainder when o is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -6*m**3 + 10*m**2 + 3. Let d be c(-7). Let s = -4651 + d. What is s rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-1*sqrt(243))**2 - -5*sqrt(243))*6 + 1.\nAnswer: 270*sqrt(3) + 1463","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -450301140 + -5?\nAnswer: -450301145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 22*k**2 + 3*k - 60. Let g = -498 + 521. Calculate the remainder when f(g) is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28636313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-5))\/(((-48)\/20)\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 636 and 22.\nAnswer: 6996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -10*b - 21. Determine g(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 16*x - 820. Let l = 45 + x. Sort l, 12, 3, -5.\nAnswer: -5, 3, l, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/7343 and -13\/1461257.\nAnswer: 1461257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + 35?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 40? (a) -2 (b) 3 (c) -5 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*h + h, 3*v - 15 = -5*h. Suppose v = -2*y + 40 - 98. Let p = y - -60. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z**5 + 15009*z**4 - 5053035*z**3 - 1048409973*z**2 - 345532620*z + 697809300 = 0 for z.\nAnswer: -142, -1, 2\/3, 905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3134*l - 3143*l = -315. What is the remainder when 57 is divided by l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/2*((-80088)\/32 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 0, -4*t - 20*u - 4 = -18*u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 6:09 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 70794988 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.35 and 0.155.\nAnswer: -0.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27764*u - 55506*u + 27771*u = 986 for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4\/11 - 76*b**3\/11 - 960*b**2\/11 - 4032*b\/11.\nAnswer: -2*b*(b + 12)**2*(b + 14)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*o + (-3*o - 3 + 3)*(8 - 15 - 7) - o + 6*o - o.\nAnswer: 44*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3484 - -3451. Let d(g) = 561*g**2. Let m(b) = -35*b**2. What is x*m(f) - 2*d(f)?\nAnswer: 33*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6249, -12519, -18805, -25107, -31425?\nAnswer: -37759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, -14, -214, -646, -1388, -2518, -4114?\nAnswer: -6254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {d: 2, c: 7, q: 5}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 103757\nAnswer: -6\/103757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 37212*m + 4391033. Give g(-118).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58 - 43. Let z = -14.986 + a. Let o = -0.034 + z. What is the second biggest value in o, 4, -1\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58541 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7*d + 65. Let o be l(-15). What is the tens digit of (-1143)\/(-5) - (16\/o)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -159 - -157. Is -12 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 32*z**3\/3 + 46*z**2 - 48. What is the second derivative of t(i) wrt i?\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/2)\/(13 + (-22967)\/1768). Calculate the highest common factor of h and 1000.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5101607 is divided by 1014.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.11715 rounded to 2 dps?\nAnswer: 3.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*r**3*v - 7*r**3 - 7*r**2*v - 3*r*v + 19*r + 2 wrt r.\nAnswer: 36*r*v - 42*r - 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 5, 2*g - 5 - 2 = -p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 0.06 (b) -1.5621 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 292410.9 months in years?\nAnswer: 24367.575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -6119.\nAnswer: -5\/6119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrraiqdayiyy. Give prob of picking 1 i, 1 d, 1 r, and 1 a.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - (sqrt(84) + 1*sqrt(84)*-2)) + (-6*sqrt(84)*-1 - sqrt(84)))\/((sqrt(12) + sqrt(108)\/(2*sqrt(9)))*4).\nAnswer: 7*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294\/(-49)*(1\/2)\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -40*-5\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5856)\/1708 + 408\/126)\/(-2).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i**2 - 114*i + 270 = 0 for i.\nAnswer: 3, 45\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.2 + 10. Let d = s - 3.1. Let q = -0.3 - d. Is -0.1 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*((-3)\/(-16))\/((-108)\/864)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in -5, 28\/11, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5*u - 33. Determine w(17).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-1\/4))\/t)**(8\/5)\/((t\/((t*(t**(2\/5)\/t)\/t)\/t))\/(t**(4\/3)\/t)))**(-1\/34) assuming t is positive.\nAnswer: t**(14\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1363 - 893. Suppose 7*r = 12*r - g. Calculate the highest common factor of 141 and r.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-60))\/((-8)\/30). Let y(c) be the first derivative of 7 - 2\/3*c**3 + l*c**4 - c**2 + 2*c. Factor y(s).\nAnswer: 2*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4, 30*y - 32*y = -t - 24. Is t at most -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25090591\/15283560 + -2\/382089. Let w = -17199\/40 + 430. Let y = g + w. Which is the third biggest value? (a) 2 (b) -1\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1209?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 5 (c) 2\/5 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 90 = -234. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**2 - 328*q - 20*q**3 - 5*q**2 - 2*q**3 + 0*q**3.\nAnswer: -22*q**3 - 328*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15866668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 258 + -180. Let a be s\/105 + (-3)\/5. Suppose -5*d + 0*l - 5*l = 30, 20 = -4*l. Is a >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114596 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 198 - 198. Let w(r) be the first derivative of -1 + 0*r**2 + z*r - 10\/3*r**3. Let p(o) = o**2. Give w(p(d)).\nAnswer: -10*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mpmxpxqqq. Give prob of picking 1 x and 2 m.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 11, e: 3}. Give prob of picking 2 e and 2 r.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 70\/10 + 3\/(4 - (-78)\/(-18)). Let r(l) = 7*l - 1. Let k be r(1). Put 0, 5, a, k in decreasing order.\nAnswer: k, 5, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002044869 to six decimal places.\nAnswer: -0.000204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 + 2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 - 11 - 36*j**2 - 3 + 3895*j - 3893*j.\nAnswer: -40*j**2 + 2*j - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**3\/6 - 18*p. Let q(a) = 21*a**2. Give q(f(g)).\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7662 by -3.\nAnswer: 2554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 + -30 + (5 - -8 - 2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-340)\/(-119)*3*28\/(-24).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 913, 3274, 7203, 12694, 19741, 28338?\nAnswer: 38479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -62156?\nAnswer: -62161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -23, -2, -32, 5, 1, -5 in descending order.\nAnswer: 5, 3, 1, -2, -5, -23, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.036156 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*j = -161*j + 420 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 + 50?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1448*l + 1443*l = -0 - 5, -2*k = l - 25 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4\/7 - 1550*w**3\/7 + 14058*w**2\/7 - 42282*w\/7 + 6048.\nAnswer: -2*(w - 3)**3*(w + 784)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 10. Let s be h(8). Find z, given that -8*z**3 + s*z**2 + 5*z**3 + 6*z**5 + 5*z**3 - 10*z**4 = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -756 and 0.035.\nAnswer: -755.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1*(18\/(-30))\/(5\/(-50))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 18, p: 2}. What is prob of sequence prpr?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 32. Let x be s(-28). Solve 3*i = x*v - 18, -3*i + 5*v = 31 - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.432389 at least as big as -3\/119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2. Let d(w) = 929*w**2 - 879*w + 879*w. Calculate h(d(c)).\nAnswer: 863041*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57617631, 115235250, 172852869?\nAnswer: 230470488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-36) - 56\/(-84).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1779297 and 13416?\nAnswer: 1677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12535 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 16. Let h = 229.242 - 231.3. Let f = -0.058 - h. What is the closest to -2 in c, f, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1536) + sqrt(1536) + (sqrt(1536) - (2*sqrt(1536)*3 - sqrt(1536))))*4)\/(sqrt(36)\/sqrt(27)*-1 - -3*sqrt(768)*1).\nAnswer: 384*sqrt(2)\/71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121771 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -365*g - 704*g**3 + 365*g**3 + 341*g**3.\nAnswer: 2*g**3 - 365*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6877 and 34569?\nAnswer: 10336131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.48 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 42, -2*a - 8*h = -5*h - 149529. What are the prime factors of a?\nAnswer: 2, 3, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -375, -4 in decreasing order.\nAnswer: -3, -4, -375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**0)**1*(m\/(m*m**(-1\/14)))\/(m*m\/((m\/(m\/(m**(-3\/2)\/m)))\/m)) assuming m is positive.\nAnswer: m**(-31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11619 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 66401 times -217?\nAnswer: -14409017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.83 - 4.83. What is the nearest to -0.2 in 4, 3, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 63, 102, 141, 180, 219?\n\"Answer: 39*w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1804936258 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*c + 4*c. Let f be (4\/c)\/((-3)\/9). Let r = 6 + f. Solve i - 2 = -0*j + r*j, 0 = -3*j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -3*y - 3*u, 4*y + 3*u - 18 = 4*u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -237840431, -475680865, -713521299?\nAnswer: -951361733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00989908 rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109, 4, 1, 3 in ascending order.\nAnswer: 1, 3, 4, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -3, 12, -0.38, -2\/3 in ascending order.\nAnswer: -5, -3, -2\/3, -0.38, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 27*v**2 + 2 - 20*v**2 - 5*v - 1 - 6. Let x(l) = -l**2 + l + 1. Let h(o) = -n(o) - 5*x(o). Let s(b) = 4*b - 17*b - 3*b - 11*b. Calculate s(h(i)).\nAnswer: 54*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36592 - 2780893\/76. Find the common denominator of -17\/28 and j.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, d: 1, o: 1}. What is prob of sequence oy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 132 - 132.000113. Round n to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 6, -2*y - 2*y + 54 = -3*h. Let g(w) = 7*w + 9*w - w**2 + w - y*w. Give g(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -17*z**2\/2 - 282*z + 8864. Calculate k(-16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111067659 to the power of 1\/2, to the nearest integer?\nAnswer: 10539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1117327 (base 11) to base 12.\nAnswer: -7a4602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 2*q - 3*v + 41, -4*q = 3*v - 73. Calculate the greatest common divisor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3)*q**(-8\/5)*q\/q**10*q*q**(3\/19)*q*q assuming q is positive.\nAnswer: q**(-992\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 703342.4ng to grams.\nAnswer: 0.0007033424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-304)\/(-152))\/(7\/210*6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6858 and 5724?\nAnswer: 726948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 28.02. Let m = -1.5 + 1.12. Let a = m + o. Sort -5, -2, -0.3, a in ascending order.\nAnswer: -5, -2, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1932 and 358113?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1215367.\nAnswer: 1215367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 134499971003268 - 134499962679358.5000001. Let d = w - 8323909. Let x = 0.5 - d. Round x to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -9*m**6\/2 - 37*m**3\/3 - 32. What is the third derivative of s(z) wrt z?\nAnswer: -1620*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -74141, 2 in decreasing order.\nAnswer: 2, -1\/4, -74141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82c66 (base 13) to base 16.\nAnswer: 395f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 10) in base 14?\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 4:05 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0053675748 rounded to 5 decimal places?\nAnswer: -0.00537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0540283 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9\/(-5))\/(5\/(-125)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1\/2, 1\/12, -2.2, 0.3 in ascending order.\nAnswer: -2.2, -1\/2, -0.4, 1\/12, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47637034*i*m**3 + i*m**2 - 27*i*m - 63*i - 2*m**3 + 17*m**2 - 6*m - 3 wrt m?\nAnswer: 285822204*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k - 19*k = -301200. Round k to the nearest one thousand.\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 46, 57, 68, 79, 90?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -33547, -134243, -302075, -537037, -839123, -1208327, -1644643?\n\"Answer: f**3 - 33574*f**2 + 19*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/4 of a century?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21035 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*c + 5*i, -2*c - 15 = 2*i + i. Suppose c*w + 24 = 3*w. What is the remainder when w is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 5)*(-1 - 3*o + o + o).\nAnswer: -7*o - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/2*22\/(-33).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/12 and -11\/52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (29 + (-30 - (49 + -42)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-10)*(-127)\/((-96901)\/(-2180)).\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 809.6676 decades in centuries?\nAnswer: 80.96676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -30768400 to the nearest 100000.\nAnswer: -30800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -38. What is the highest common divisor of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hq when two letters picked without replacement from ssvsfsqlfvvsqhsqshf?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s**2 + 9*s**2 - 92 - 28*s**2 + 196 - 104.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4360.304 weeks to hours.\nAnswer: 732531.072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 10. Determine x(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11529 is divided by 216?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.7 + 7.3. Let y = -6.7 + r. Let f = y + 0.1. Round f to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60405609 divided by -3.\nAnswer: -20135203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 414659290 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rg when two letters picked without replacement from {g: 2, r: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638384 is divided by 7089?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 8 + 1 + -5 + 6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u - 18. Let i(j) = -j - j - u*j. Let q(a) be the first derivative of -a**2\/2 - 6. Give q(i(s)).\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.19001 + 0.02999. Does k = -398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 53634548?\nAnswer: -53634552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/5))**(3\/40)*k*k**(6\/5)*k**11\/k assuming k is positive.\nAnswer: k**(1223\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 + -8220b?\nAnswer: -821b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 152151.99954 + -152146. Let h = u - 6. Round h to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13339 is divided by 1112?\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62816 and 260?\nAnswer: 314080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11, -108, -371, -884, -1731, -2996, -4763?\n\"Answer: -14*v**3 + v**2 - 2*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 53710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - 2010?\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 5:55 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3480 + 0?\nAnswer: 3480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 2b1528?\nAnswer: -2b1523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/11 - 220610*l**2\/11 + 3750948*l\/11.\nAnswer: -2*l*(l - 17)*(l + 110322)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -1. Let f(v) = 3*v + 2 - 4*v**2 - y*v + v + 3*v**2. Determine f(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*a**3 - 435310724*a**2 - 592173218474656*a - 29608659835456 = 0. What is a?\nAnswer: -2720692, -1\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10157\/9 in -0.5, 0.2, -4\/9, 1\/32?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 + 5*t**3 - 5*t**3)*(20 - 10*t + 8*t - 5) + (t + 1 - 1)*(t**3 + t**3 - 3*t**3).\nAnswer: -7*t**4 + 45*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 91 = -69. Suppose k = j - 65. Suppose 0 = i - 2*c - 21, 0 = -3*i - c + 5*c + 53. What is the remainder when j is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011000 (base 2) in base 7?\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4104607 (base 9) in base 8?\nAnswer: 10261676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 10. Let d(q) = -3*q**3 + 6*q**2 - q**2 + q + q - 4 + 2*q**l. Is d(4) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/102245300 and -21\/11600.\nAnswer: 408981200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5354*t*w**4 - t*w**3 + 2*t*w - 1887*t + 5*w**4 + 2*w**3 + 4*w**2 + 5*w wrt w.\nAnswer: 128496*t*w - 6*t + 120*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9316 + 9316.0008229. What is q rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 85? (a) 2 (b) -5 (c) -453 (d) -1\/7 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36.4 - 36. Let a = -373549\/11553 - -2\/11553. Let u = -32 - a. Sort x, 2, u in decreasing order.\nAnswer: 2, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**4\/9 + 754*o**3\/9 - 2*o**2\/9 - 754*o\/9 = 0.\nAnswer: -377, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 25 = 0, 5*c + 2145 = 5*o + 11895. Let b = c + -298. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 2657 = 1613. List the prime factors of w.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -990.6709035 less than -1181?\nAnswer: -190.3290965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 28523*v - 1112403. Determine d(39).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**3 - 112*f - 119*f - 3*f**2 + 155*f + 4*f**2.\nAnswer: -6*f**3 + f**2 - 76*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -11*o - 5. Suppose 3*g - 2*n - 1305 = 0, 5*g - 54*n + 50*n = 2175. Let d(j) = -871 + j + 439 + 5*j + g. What is 5*d(w) + 3*p(w)?\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**2 + o + 2. Let y be j(2). Let v = y - 4. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**9\/504 - y**5\/15 + 2*y**2. What is the third derivative of h(c) wrt c?\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 less than -53674?\nAnswer: -53667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2715423499 to the nearest integer?\nAnswer: 52110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13637 and 316798.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 30. Suppose -3*t + 42 - 5 = 5*r, -4*t + l*r = -32. What is the least common multiple of t and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51880780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -21*j**2 + 23*j**3 - 4 - 22*j + 20*j**3 - 42*j**3 + 2. Let l be n(22). What is the closest to 0.3 in l, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m = -9*n - 69, -119*m + 116*m - 4 + 11 = n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143 divided by -2665268.\nAnswer: -143\/2665268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*h + 3*h + h)*(3 - 3 - 2 + 767 + 328 - 541 + 2 - 1 + 1 + 1 + 5 - 4 - 2 + 1 + 2 - 3 + 3 - 2 + (-1 + 3 - 1)*(3 - 1 + 0)) as j + y*h and give y.\nAnswer: -557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3153191, -3153196, -3153205, -3153218, -3153235?\n\"Answer: -2*d**2 + d - 3153190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4 + 4 = 0. Suppose -71 - 91 = -18*p. Put m, p, -5, 5 in decreasing order.\nAnswer: p, 5, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-104)\/(-70) + -6*(-2)\/(-8). Is 0 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(98) - -2*sqrt(98)))**2.\nAnswer: 31752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 + 72*n + 160.\nAnswer: -4*(n - 20)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 902, 1, -1, 2, 4, 7 in decreasing order.\nAnswer: 902, 7, 4, 2, 1, -1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 - 2*g - 2*g**2 + g)*(2 - 2 + 1)*((-3 + 7 - 2)*(-2 + 3 + 1) - 2 - 1 + 2 + 14951 + 18255 - 30444).\nAnswer: -5530*g**2 - 2765*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7643899188 divided by 6.\nAnswer: -1273983198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.8 - 8. Let h be -1 + 1 - (0 - 6). Let q = -4 + h. Which is bigger: q or v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-212)\/(-20) - (0 + 4\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2273 = 4*p + 557. Let a = -424 + p. Solve 6*i = 7*i - a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.2908486 meters?\nAnswer: 290848.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-4\/9)*(p\/p**(-1\/7)*p)\/p)**(-15)*(p*p**(-7)*(p*p\/(p*p**(-2\/25)))\/p)\/(p**(1\/8)\/p**(-8)) assuming p is positive.\nAnswer: p**(-221989\/4200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 900.761 millilitres to litres.\nAnswer: 0.900761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3722221 - 0.045?\nAnswer: -3722221.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 13*b**2 - 20*b - 1. What is k(14)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 330 = p. Suppose -7 = -2*t + 13. Let s be 9\/(-15) - p\/t. Is s equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-12))\/(19\/(1140\/(-50))).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 22 - 32 = 0. Let h be (-3)\/i*(-4 + 48\/(-9)). Suppose 49 = -7*o + h. Let n(q) = -q**2 - 6*q + 2. Give n(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 1.329 (c) -0.6 (d) -0.088\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-145*p + 145*p - 85*p**3)*(-109 + 99*p + 109).\nAnswer: -8415*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17 + 101115?\nAnswer: 10112c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1052\/7 - -150. Let k = 13.8 - 2.8. Let q = 10 - k. What is the second smallest value in q, -3\/5, o?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306187 is divided by 2488.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/3954?\nAnswer: 1\/3954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 6 - 4 + (-1 + 0 + 3)*(-1 + 4 - 5))*(4*c**2 + 1029*c + 3 - 1 - 1064*c) in the form i + k*c + q*c**2 and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + 0.4. Let u = -0.9 + 0.6. Let p = u + h. Sort 5, p, -3 in descending order.\nAnswer: 5, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2025 = m + 3084. Let c = 1220033 - 9719471\/8. Let p = m + c. Calculate the common denominator of p and -75\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5183 + 774?\nAnswer: 6067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/14 + 1\/1. Let m = -382 + 382.1. What is the closest to m in w, -5, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-422)\/(-15) + (32\/(-30))\/8. Suppose 16*s + 192 = q*s. Calculate the highest common divisor of s and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0 = -3*c + 14, 0 = q - 1. What is the remainder when 13 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-26))\/((-2025)\/(-1620))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 249 + -924. Let g = 1151 + v. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63871*g + 108 = 63871*g + 4*l, -103 = -5*g - 4*l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y. Determine f(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 101195 and 740.\nAnswer: 404780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20462 - -20636. Calculate the remainder when 361 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -55478, -110846, -166214, -221582, -276950?\n\"Answer: -55368*q - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11362 divided by -2\nAnswer: -5681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -90.989 - -91. What is o rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 10*v + 4. Let n be h(0). Solve 5*g + 0*g - 14 = 3*i, 3*i + 13 = n*g for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011101111001011 (base 2) to base 6.\nAnswer: -2233551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -803 * -37.7.\nAnswer: 30273.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*(v\/(v**(5\/6)*v))\/v*v)*v\/(v\/(v**(-22)\/v)*v) assuming v is positive.\nAnswer: v**(-139\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p - 4*p + 0*p)*(6 + 1 + 2)*(4 + 2 + 6) to v*p + r and give v.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9276646 is divided by 1184?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*y**2 - 24*y**2 + 9*y**2)*(1560*y - 576*y - 686*y) in the form j + a*y**2 + k*y + m*y**3 and give m.\nAnswer: -10728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 64857 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.09141, 670 in ascending order.\nAnswer: -0.09141, 0.5, 670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 + 10*x**3 - 7*x**3 + 2*x**3 + 11*x**3 to u + s*x**2 + c*x + d*x**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -8*c**2 + 6*c - 5. What is v(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.565312 to 2 dps.\nAnswer: 7.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 420046, 1680149, 3780312, 6720535, 10500818, 15121161?\nAnswer: 20581564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.644 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -33 (b) 4\/303 (c) 2\/5 (d) -4 (e) -0.5 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6228 and 10026042.\nAnswer: 60156252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/sqrt(9)*-4 + 4)*-5.\nAnswer: -20 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 377*q**2 - 10*q + 45414 wrt q?\nAnswer: 754*q - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 6*h**2 + 7*h + 5. Suppose -4 = 2*a + 10. What is the units digit of u(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (-1 + (5 - (8 + 22 + -16))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**3 - 2*f**3 - 15*f**3.\nAnswer: -17*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73974568.\nAnswer: 2, 9246821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -12068 + 12083. What is the greatest common factor of 1015 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -416, -996, -1808, -2852, -4128?\nAnswer: -5636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 0 + 0*m**3 + 67\/168*m**8 + 0*m**4 + 82*m**2 + 0*m**6 + 19\/6*m**5 + 0*m**7 + 0*m. Find the third derivative of j(i) wrt i.\nAnswer: 8040*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -347042, -347044, -347042, -347036, -347026, -347012?\n\"Answer: 2*a**2 - 8*a - 347036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -7, 2, 96 in ascending order.\nAnswer: -7, -6, 2, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 10. Let g be o(9). Let j(v) = -4 + 2*v**3 - 2 - g - v + 6 + v**2. Give j(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -524025 - -65?\nAnswer: -523630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1754027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.20995, -0.02, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-11) - (232\/16 - 16))\/(9\/(-6)).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + q**2)*(30*q + 41*q - 1 - 100*q) in the form z*q**3 + u*q + w*q**2 + c and give z.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.7 + -0.7. Let g be 2*2*7\/70. Which is the closest to g? (a) 1 (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 31*k - 11*k**2 - 6*k**2 - 59 + 15*k**2. Let b be s(12). Solve b = -2*w - 3*w, -3*z - 25 = 5*w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-4*63\/42)\/(6\/(-38))) + 0.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001151839 to 7 dps.\nAnswer: -0.0001152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 2402 = -698. Calculate the common denominator of -52\/5 and (0 + 3)\/(r\/5).\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 12001233?\nAnswer: -12001233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -30.4. Let r = 82 - 71. Which is the third smallest value? (a) w (b) -0.3 (c) r (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 6*m**2 + 2*m + 16. Let z be g(-6). Suppose -2*f + 30 = 3*f. Solve 6*n - f = z*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 448*a - 68*a + 257*a.\nAnswer: 637*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(-2\/3))*x)\/x)\/(x*x*x**(-2))*x**(-3\/2)\/x**(-1) assuming x is positive.\nAnswer: x**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004282 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2650 and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45619697\/267574226 - -4\/306149. Let f = i - -3\/46. What is the second biggest value in -2\/7, f, 1\/4, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9822 and 82411491?\nAnswer: 164822982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 7. Let o(i) be the first derivative of 1 + 0*i + 3\/2*i**u. Let d(j) = -3*j**2. Calculate d(o(k)).\nAnswer: -27*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4593735 divided by -49395?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**3 - 2*c**2 - 2*c - 1. Let n(s) = -s**3 + 32401*s + 2 + 3*s**2 - 6*s**3 + 2*s**2 - 32397*s + 0*s**3. Give -2*n(z) - 5*q(z).\nAnswer: -z**3 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-1 - 2) - (-1 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaahccacaaocoaco. What is prob of picking 1 h and 1 a?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1531 and 3.803.\nAnswer: -5822.393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 9. Let p = r - 1. Let z = 13 - p. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -1, 222?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j**3 - 208*j**2 - 11*j - 2105. Determine r(35).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 - 22*o - 39. Let q be r(13). Let w be (q\/156)\/(-1*(-1)\/(-2)). What is the closest to w in 0, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 4:52 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j - 12*j - 2*j + (1 + j - 1)*(3 - 1 - 4).\nAnswer: -17*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43448033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y + 110. Let s be d(-30). Let v be (-9)\/(-24) - (-5)\/s. Which is the nearest to -35? (a) -1\/2 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0)**10)**(-18) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -1, -3\/640, 29?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w + 83328 = 39*w. What is the highest common factor of 64 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*a + 91. Let y = 7 + -11. Let n = a + y. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -611 + 733. Calculate the remainder when w is divided by 67.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.5 + 6.9. Let t = -1.6 - o. Which is the third smallest value? (a) 2 (b) t (c) -2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*z - 83*z - c + 202 = -0*c, 5*z - c = -94 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 2 + 2 - 2*j + 4*j - 4*j + (-1 + 5 - 2)*(-3*j + 3*j - 2*j) - 2*j - 2 + 2 - j + 3*j + 3*j)*(-29 - 3 + 11).\nAnswer: 105*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*y + 1, 5*y = i + 6*y + 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(208)\/sqrt(4) - ((-1*sqrt(13)*2 + sqrt(13))**2 + -3).\nAnswer: -7 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 5. Suppose 0 = -2*n - 0 - 8. Is 3 a factor of g(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 72*t**2 - 1. Let z(k) = 2*k**2. Calculate i(z(v)).\nAnswer: 288*v**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 12 = -3*h. Suppose 4*j - 5 = z, -4*j + 14 = -5*z - 11. Let n = h + j. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 4 + 5)*(-18)\/4. What is the common denominator of 1805\/38*(-4)\/h and 173\/60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - sqrt(17)) + -4 + 1 - (-4 + sqrt(833) + (sqrt(833) - sqrt(833)*-1)))**2.\nAnswer: -38*sqrt(17) + 6138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 14, 27, -4\/5, 7, -0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h + 9*h + h to v + t*h and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 20*h**2 + h + 23. Let m be i(-20). Let x be ((-28)\/(-6))\/((-1)\/(-1)). Determine q, given that -10\/3*q**2 - 2*q**4 + 0 + 2\/3*q + x*q**m = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 8 + 16. Let r = -2 + 6. What is the highest common factor of d and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + i = 19, -76 = -2*i - 62 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 3*f = -12. Let s(l) = l. Let z be s(-3). Which is smaller: z or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2886)\/(-296))\/((-12)\/(-16))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/3633412 and -41\/20?\nAnswer: 18167060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -2 = 1118873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271656 = 29*v - 8*v - 14*v. List the prime factors of v.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 5*o**2 - 5*o + 3. Suppose -2 = 3*v + 10. Let z be d(v). What is the second derivative of -k**5 - 7*k**2 + z*k**2 - 3*k wrt k?\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 4*f - 58 + 53, 5*f = -3*n + 34. Put -24, 1, -4, -2, n in increasing order.\nAnswer: -24, -4, -2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 31*u + 17 - 4 - 2.\nAnswer: 31*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 45*c**2 + c - 1. Let g be n(1). Let q be 260\/8 - 2 - 10\/20. Calculate the highest common factor of g and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14712*b**2*v**3 - 28930*b*v**3 wrt b?\nAnswer: 29424*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -0.3, 2, 1, 0.02?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 2*o + 3*o. Solve 3*r = 0, -r = 4*l - 6*l - o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6.68 (b) -14\/111 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -183*b - 28734. Calculate n(-157).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -78*r. Let i(o) = -25*o**2 + 8*o + 16. Let m(d) = -1449*d**2 + 462*d + 924. Let b(h) = 231*i(h) - 4*m(h). Calculate b(k(w)).\nAnswer: 127764*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 9 = -k, 0*k + 5*i = 4*k - 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/125 - -228\/1375. Let z = 5 + -5. Which is greater: g or z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*i + 82 + 302. Let h(x) = -2*x + 44. Give h(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 2:06 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2270296.\nAnswer: 2, 7, 71, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*i - 3. Let z = -41 + 61. Suppose -4*n = n + 5*s + z, 0 = n - i*s - 6. Put 0, n, 1 in descending order.\nAnswer: 1, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 57*i + 449. Determine b(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 371638.\nAnswer: 2, 185819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*j + 84*j - 167*j)*(-2 + 0 + 3)*(0*j + 0*j - 3*j).\nAnswer: 84*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8392 - 6967. List the prime factors of r.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 95, -8116, -16327, -24538, -32749?\n\"Answer: -8211*c + 8306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-six fifths of a gram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-28)*78 - -7 - -13\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002404456137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88457 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -r + 74, r - 4*m - 54 = -3*m. Suppose -5*f = -r - 26. Suppose -2*u + 41 = f. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbnb when four letters picked without replacement from bnbnnnn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 90949533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4280 in -1\/2, 0.03, 1\/6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 368054\/53 or 6944?\nAnswer: 368054\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2004 = -w, -10*w = -3*c - 7*w - 6000. Let r be c\/(-98) + (-11)\/(-7) + -2. Solve -16*g + r = -20*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -g + 3*o + 18, -30 = -2*g + 3*o. Let i be (1136\/g)\/((-4)\/(-6)). Let q be (2 + i)*4\/4. What is the highest common factor of 16 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13829?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixty-seven fifths of a minute?\nAnswer: 804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/(44\/12).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3726 + 43?\nAnswer: 3769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r = 0. Let u be (-39*(2 - 3))\/1. Suppose -5*h - 3*x + r + u = 0, 3*x - 3 = h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25112 is divided by 1502?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 295832?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -383930 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 227 + -224. Suppose -6 = q*w + 3*o, o - 5*o = 2*w + 8. Factor -1\/4*i**3 + 3\/4*i**2 + 0*i + w.\nAnswer: -i**2*(i - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2\/(-6) + 0)\/((-2)\/1062) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -4*d + 112, -d = 3*d + 3*w - 108. Suppose 4*i - 5*t = -d, 0*i = 5*i + 3*t + 30. Let z(b) = -b**2 - 9*b - 9. Determine z(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 11. Let c be (-4)\/18 - (-202)\/18. Let a be s(c). Suppose u + u = a. Solve 0 = 2*t - u*m - 2*m - 4, m = 3*t + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74559638 or -74559636?\nAnswer: -74559638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 15 = u - 16, 2*i - 50 = u. Let l be (4 + (-102)\/i)*9. What is the second derivative of b - b**l - 3*b**2 - 14*b wrt b?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, -1614.317, 0.2?\nAnswer: -1614.317","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - ((-2664)\/204 - 3).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 680834817?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -12. Suppose q*t - 6 = 6*t. What is the third derivative of 10*a**t + 0*a**5 + 7*a**5 - 5*a**5 wrt a?\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*w - 2*g + 14 = 0, 3*w - 4*g + 8 = 0. Let s = 3 + -11. Let r be 0 + 20\/s*-2. Solve 0 = w*b - 3 - r for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-8\/11)\/(m**(-1)\/m) assuming m is positive.\nAnswer: m**(14\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24094*r + 23731*r + 11253 for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5*x + 49, 3*x + 1 = u + 24. Let m(l) be the third derivative of -l**5\/30 + l**2. Let y(g) = -g**3 + 9*g**2 + g - 1. Give x*m(q) + 2*y(q).\nAnswer: -2*q**3 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 4*f + 13, 4*o - 3*f + 8 = -2*f. Let q be 1\/(-3)*(-5 + o). Round q to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/2))**(-25) assuming t is positive.\nAnswer: t**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4 = -2*d. Let o be 33\/(-22) + d\/4. Let j = -1 - o. Solve 4*x + 3*b = 0, j*b + b = 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20002 - -20001.8. What is the nearest to a in -0.2, 2\/4611, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.5 + -4. Let t be ((-28)\/8)\/(9\/(-8)). Let c = 34\/9 - t. What is the biggest value in c, 3, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20551, -21325, -22603, -24385?\n\"Answer: -252*a**2 - 18*a - 20281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38368356 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 162 (b) 4 (c) -1 (d) 1 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2 - 8*t + 5. Let y be h(0). Suppose -3*c + 15 = -y*u, -25 = 5*u - 6*u - 5*c. Solve -3*k - 9 = u, 0*g - 2*g - k - 3 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -48, 1, 8 in ascending order.\nAnswer: -48, -1, 0, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 10. Suppose s*p + 4*p + 21 = 0. What are the prime factors of (-20)\/(-3 + -2) - p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1576.5 + -1267. Let x = m + -432. Round x to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-6)\/b)*b)\/b)\/(b*b**(-1))*b**1\/(b\/(b\/((b*b*b*b**(-1)*b*b)\/b))*b*b)*(((((b*b**0*b)\/b)\/b)\/b)\/b**(-1\/4))**(-42) assuming b is positive.\nAnswer: b**(71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 644373563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 2. Suppose z*i - 13 = i. Suppose 152 = k + 3*k. What is the remainder when k is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (-4 - -2) - (-5)\/(-6). Let t = 7 - 3. Which is the closest to 1? (a) -1\/5 (b) u (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + 73 + -1 + -78.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 22*y - 15. Does 27 divide d(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -382840 divided by 449\nAnswer: -382840\/449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-6 - (-5 - 6)) - (65 + 5 + -9).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12948 in -4, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 35 + 12 - 37 - -53\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*u + 2 + 17, 16 = -5*u - h. Let w = -1 - u. Let r = 1 + w. What is the greatest common divisor of r and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 7:00 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/209157 and 97\/7254?\nAnswer: 1254942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 1. Suppose 0 = -2*g + s - 1. What is the remainder when 15 is divided by (1 - 0\/g) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/13 + 2*v**2\/13 - 34*v\/13 + 30\/13.\nAnswer: 2*(v - 3)*(v - 1)*(v + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 8 (b) -0.3 (c) 0.4 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -295, -593, -891, -1189?\n\"Answer: -298*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine sixths of a millennium in months?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2011, -2009, -1997, -1969, -1919?\nAnswer: -1841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6289 is divided by 3081.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113788*d**3 - 227567*d**3 + 113780*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 4*b**2 - 3. Let m be r(4). What is the tens digit of 32*m*(-1)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*10248\/26 + 6\/(-39).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1*165\/(-99)*(-1007)\/(-265).\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*o = 2362 - 474. Let u be ((-8)\/12)\/(4\/(-18)). Solve y = -u*y + o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81950, 81988, 82026, 82064, 82102, 82140?\nAnswer: 82178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8554, -8544, -8532, -8518, -8502?\n\"Answer: n**2 + 7*n - 8562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2158?\nAnswer: 2, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a523 + 13d4?\nAnswer: b8f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0*o)\/o*o*o\/(o*o*o**(1\/5)*o)*o\/o**(2\/25)*(o\/(o**(-6\/5)\/o)*o*o*o*o*o)\/o*o assuming o is positive.\nAnswer: o**(198\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8.7 * 18\nAnswer: 156.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 518580 divided by -1\nAnswer: -518580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*b = 34*b - 30. Suppose -14 = 2*j - b*c - 1, j = -c + 11. 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: Put together -1 and 272912610732.6.\nAnswer: 272912610731.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-6 - (6 - 13))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c**4 - 3*c + 0*c + 2*c**4 + (-3 + 2 + 0)*(-5*c**3 + 5*c**3 + 8*c**4).\nAnswer: -11*c**4 - 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92535204?\nAnswer: 2, 3, 7711267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 110933?\nAnswer: -3\/110933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (36\/(-10))\/(3\/(-60)). Suppose 5*l = 4*t - 1155, 600 = 2*t - 0*l + 2*l. Suppose -18*d + 29 + t = 0. What is the highest common divisor of d and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 831, 1662, 2493?\nAnswer: 3324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*k*q**2 + 730*k*q + 3*k*u - 2*q**2*u + 2*q**2 + 5994*u - 1 wrt u.\nAnswer: 3*k - 2*q**2 + 5994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 31*l - 1. Give t(-1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1562152 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -63\/3764 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -19553*21 - (8 + -21). What is y rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.777 - 2.223. Let p = 1.05 - -0.05. Let v = p - 1. Which is the third smallest value? (a) v (b) -7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*u - 9 = 6*u, 4*i + 4*u + 8 = 0. Let o(n) = 2*n**3 + 3*n**2 - 4*n - 5. Let c(z) = z**3 + z - 1. Let p(l) = i*c(l) - o(l). What is p(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -23*t**6\/30 + 3*t**2\/2 - 11*t. Differentiate i(s) wrt s.\nAnswer: -92*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116 divided by -119550.\nAnswer: -58\/59775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - (1 + (2 - -1)). Suppose j - 11 + 1 = i. Let z = 161 - 113. What is the remainder when z is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 5*b = 70, -2*b - 14 = 5*j + 14 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 584*y**3 - 52*y + 45228 with respect to y.\nAnswer: 1752*y**2 - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {t: 6, y: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -8, -0.2, -56\/39?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*l + 200, 4*c = l - 72 + 8. Is 5 a factor of 81*(-4)\/(l\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.579 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - -200004224?\nAnswer: 200004240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2485139, -2485173, -2485207, -2485241, -2485275, -2485309?\n\"Answer: -34*x - 2485105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.048*0.6.\nAnswer: 0.0288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*(459\/(-18))\/17\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -14*h + 5. Let j(a) = -14*a + 4. Let x(y) = 5*j(y) - 4*l(y). Let f(u) = u**3 - u**2 - 2*u - 1. Let i be f(2). What is the tens digit of x(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 + 33 + 1 - 15 - 4) + 61\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.2 times -10.61476?\nAnswer: -76.426272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 6*b = 10. Let s(l) = 34 + 3*l - b*l - 25. Let r be s(-4). Solve 2*o - i + 2 = 5, r*i = -5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 15*l + 22. Let n be t(13). Sort -0.2, -4\/17, -0.3, n in increasing order.\nAnswer: n, -0.3, -4\/17, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from {s: 3, l: 4, n: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a*h**3*i - 5*a*h*i**2 + 10*a*h + a*i + h**3*i**2 + 124*h**2*i**2 - 3 with respect to a.\nAnswer: 2*h**3*i - 5*h*i**2 + 10*h + i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046373 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2 - 24*t - 2. Let r be y(-10). Is (-154572)\/(-114) + 5 - (-4)\/r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*v**3*w**2 - v**3 - 62*v**2*w**2 - 170 wrt w?\nAnswer: 4*v**3*w - 124*v**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or -5\/16?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvtvvvvvvvvvtvvv. Give prob of sequence tv.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18287.6 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 469.3? (a) -0.27 (b) -5 (c) -3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -164165867 by 1.\nAnswer: -164165867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -240579 * 0.1.\nAnswer: -24057.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(4\/15)\/(n*n**(-18\/5))*n**(4\/35)*n\/(n*n**(3\/17)) assuming n is positive.\nAnswer: n**(5006\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (8 + 1 + -13)) + -4 + 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**4 + r**4 - r**4)*(3462*r + 1689*r - 293*r).\nAnswer: 4858*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1738 - 19122\/11. Is p < -0.22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-119 - -25 - -106) + 36.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597860 is divided by 43.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 13, -2, -1\/2, -20, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -26*c**3 - 12*c**2 - 58*c - 1. Is t(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1957*o = -2042*o + 170 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 168067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7181 - 2500 = -4*l + 5*b, 5*l - b - 12117 = 0. Let k be l\/(-60) - 2\/(-5). Let f = 40 + k. Solve 2*s - 7*s - 15 = f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -947*o**3 + 3*o**2 + 1886*o**3 - 2 + 2 - 947*o**3.\nAnswer: -8*o**3 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4 - 8. Suppose 6 = w*y + 3*c, 6*y + 2*c = 4*y + 4. Suppose -b - 4 + 12 = y. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31867 * -0.4\nAnswer: -12746.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2274 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22245 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 4 = 4*x - 23, 0 = 4*m - 4*x + 28 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226285 = 14146*n - 1418787 - 448434 for n.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-3) + (-1)\/(3\/(-29993)). Let a = -769788\/77 + n. Let z = 2986\/693 - a. What is the common denominator of z and 8\/7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-11)\/s**10 assuming s is positive.\nAnswer: s**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 18 = -5*m + 2, 4 = m + 4*y. Suppose 5*r - 1 = m. Is -35*1\/(0 - r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 110 (b) -2 (c) 3 (d) 177\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a + 2 = 0. Suppose -2*s + 15 = -2*b + s, -a*b + 4*s - 20 = 0. Solve 0 = -2*w - b - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 316.04 * -4.\nAnswer: -1264.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35605.43 milligrams to micrograms.\nAnswer: 35605430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 8:46 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.74961 decades in years?\nAnswer: 87.4961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39141112*r**3 - 4893339 + 39141109*r**3 + 4893339.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**5)\/q**(-8))**(-1\/11) assuming q is positive.\nAnswer: q**(-14\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/21 + 1\/7. Let j be ((-171)\/(-24))\/((-777)\/70). Let q = -4\/37 + j. Which is the second biggest value? (a) -0.1 (b) w (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 33975 rounded to the nearest one thousand?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 48790279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36807?\nAnswer: 3, 12269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -179*c**4 - c**3 - 229*c - 1 wrt c.\nAnswer: -2148*c**2 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppgggggggrggpggpgppp. Give prob of picking 2 p.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 124 + -173. Let g = b - -149\/3. Factor -4\/3*t**4 + 4\/3*t**2 + 0*t**3 + 0 - g*t + 2\/3*t**5.\nAnswer: 2*t*(t - 1)**3*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7020855, 7020921, 7020987, 7021053?\n\"Answer: 66*t + 7020789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003621733 rounded to seven dps?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 599 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**4 - 6*g**2 - 25868*g**3 + 25868*g**3 + (-2*g + 2*g + 2*g)*(-g**3 - 3*g**3 + 5*g**3) + g**4 - g**4 + 2*g**4 - 3*g**4 - 4*g**4 + 5*g**4.\nAnswer: g**4 - 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w + 279085*w**2 + 83*w + w**3 - 279085*w**2.\nAnswer: w**3 + 89*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m - 4. Let b = -13 + 16. Let a be q(b). Suppose -3*v + 4 = -a. Solve d - v*y - 8 = 0, d - y = -d - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13\/5 + (-18)\/(-45). Let p be 17\/51 + 5\/q. Let z be (0 - p)*-6 - -4. Solve 4*h - 4 = -4*y - z, 3*h = 2*y - 14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/7)\/k)\/((k**(-15)*k)\/k)*(k*k\/(k\/k**(1\/13))*k)**(-1\/9) assuming k is positive.\nAnswer: k**(1279\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -z - z - a, -z + 68 = 4*a. Calculate the remainder when z is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - a**2 - a. Let n(f) = 2*f**3 - 2*f**2 - 2*f. Determine -3*d(k) + n(k).\nAnswer: -k**3 + k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 15*i + 11. List the prime factors of y(15).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -4479*k**3 - 10*k**2 + 8*k + 2242*k**3 + 2238*k**3 + 2*k**4 - k**4 = 0.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 75294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**2 + 256*d + 258 = 0.\nAnswer: -1, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116 divided by 45220.\nAnswer: -29\/11305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-4))\/((-2)\/76). Suppose 32 = f*h - 44. Solve 6 = -h*z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-36))\/((-1)\/831). Let c = -103 + q. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 7*g**2 + 9*g - 6. Let p be y(-10). Let j = p - -1042. Let t = -494 - j. Does 24 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -4 + 19 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fka when three letters picked without replacement from kkafaak.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 at most -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kbbbkttbbttkb. Give prob of sequence tbtt.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 + 3 - 11*z**3 - 3.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence akj when three letters picked without replacement from {a: 5, j: 3, k: 11, w: 1}?\nAnswer: 11\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, i: 2, y: 2, x: 1, e: 1}. What is prob of sequence yey?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 65531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2675868, 2675858, 2675860, 2675880, 2675924, 2675998?\n\"Answer: h**3 - 17*h + 2675884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 8*k**2 + 5*k - 7. Calculate o(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3497123 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 2*l = -37, 4*b + 32 = -5724*l + 5728*l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 211835663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -804767*d**2 - 2*d - 496516 wrt d?\nAnswer: -1609534*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2. Let b(x) = 2*x**2 - 67200. Calculate b(g(c)).\nAnswer: 2*c**4 - 67200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaktiiiid. What is prob of picking 1 d and 1 i?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 10) in base 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/5? (a) -3 (b) 5 (c) -11 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.210759 and -2.8.\nAnswer: -2.589241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 638 - 606. Suppose 20*o - 68224 = -t*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 2\/5, 0, 2, -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -813 - -832. Solve -p*z = -8*z - 22 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 539.23391 to the nearest ten.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 11*l**6\/180 - l**5\/120 + l**4\/3 + 7*l**3\/2 - 2*l**2. Let z(w) be the first derivative of q(w). Is z(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140520.\nAnswer: 2, 3, 5, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-9)*c*c*c)\/c*c\/c**(2\/27))\/(c**(-2\/3)\/c*c)**(-9) assuming c is positive.\nAnswer: c**(-272\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3 + 5. Let t = 23462 + -23459. Calculate the remainder when t is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122\/5 + 2\/(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 62 + -8 - 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n + 8. Let o(l) = -l**2 + 5*l - 4. Let w be o(3). What is the second derivative of 7*a**2 - n*a + w*a - 22*a**2 wrt a?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -566, -1311, -2056?\nAnswer: -2801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*v = -20, 0 = 2*l + 3*v + 8. Let g be (2\/l)\/(0 - -1). Let a = -1 + 1.5. What is the closest to g in a, 2, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-5) + (-2)\/(-10). Let u(f) = -2 - 2*f + 0*f**2 + f**2 + a + 4. List the prime factors of u(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n = -151*n - 3340 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, o: 8, v: 1}. Give prob of sequence vorr.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1872) - (5 + sqrt(13)*2))**2 - 4*(-2*sqrt(91))\/sqrt(7).\nAnswer: 148*sqrt(13) + 2573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/299? (a) 2 (b) -5 (c) 9 (d) 74 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 34 - 73 + 39 - 201*k**2 - 2*k + k in the form t + i*k**2 + q*k and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1345404218?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -43647 (base 10) to base 3\nAnswer: -2012212120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l - 25. Let u be t(6). Let k = -41 - u. Calculate the greatest common divisor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - -257)\/3 - (-2 + 1). Let m = 0 - -3. Suppose -m*f - f = -i. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) - -2*(-2 + sqrt(605))) + 1 + 3)**2 - (4 + ((sqrt(5) + 3 + sqrt(5))*6 - sqrt(20)\/(1*sqrt(4)))).\nAnswer: -11*sqrt(5) + 5423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*3\/36*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 less than -26.5215?\nAnswer: -26.5815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22248.09kg to milligrams.\nAnswer: 22248090000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, -313, 103\/5, -1\/6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80644 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7788 divided by -33\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(2268) + 3*sqrt(2268))\/sqrt(9) - (sqrt(252) - (sqrt(252) + -5))**2*5*6)*-5.\nAnswer: -480*sqrt(7) + 3750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1420527 divided by 43.\nAnswer: -1420527\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 774 + -33113?\nAnswer: -32117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: 31\/(-105) - (0 + 2\/15)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -468\/1453 or 0?\nAnswer: -468\/1453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 - 12 = c + 4*u, 168 = 4*c - 2*u. Let d(b) = b - 43. Let s be d(6). Let a = c + s. Solve 5*l = -a - 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 14*i + 2. Let l be y(5). Suppose 0 = 21*o - 3*o + l. Let c be (18\/36)\/((-2)\/(o\/(-19))). Which is greater: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((4 + sqrt(325))*-5*-6 + (sqrt(325) - -3*sqrt(325)*-6) + 0)**2.\nAnswer: -69325 - 15600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (95662*v - 2 - 17 - 95670*v)*(v + 4 - 4) to the form j + g*v + b*v**2 and give g.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46849197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t - 2*t + 6*t + (2*t - t + t)*(-1 + 1 - 2) - t - 1 + 1 - 2*t + 0 + 0 - 3 + 0 + 7 - t to v + h*t and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-234)\/21*(57 + (-17711)\/267)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bla when three letters picked without replacement from lab?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700)*2*2)**2 + sqrt(1700).\nAnswer: 10*sqrt(17) + 27200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(1 + (-1)\/4). Put 3, 5, t in increasing order.\nAnswer: t, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -m - 2*m + 5*f, 3*m - 18 = 2*f. What is the highest common factor of 12 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 40 = -k - 0*k, 3*k - 3*i = 102. Let g = -26 + k. Suppose g*b - 22 = -2*z + b, b = 3*z - 33. What is z rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-6)*(-260)\/8. Let a = m + 22. Which is smaller: 18 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -117*a - 2810. Give g(-24).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 33.9 (b) -2 (c) 179 (d) 14 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 + 82.58. Let k = -7 + x. Let j = -0.08 + k. Sort -2, 0.4, j.\nAnswer: -2, j, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105262.78078 - -0.0624.\nAnswer: 105262.84318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -532\/34187 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 29*p + 119. What is m(-7)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 + t**2 + 6*t + 36. List the prime factors of y(11).\nAnswer: 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/15)\/(2\/(-10)). Differentiate h*q**2 - 4 + 5*q - 5*q with respect to q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -276153\/64 + 4315. Find the common denominator of j and 121\/24.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 9. Let z be l(-5). Suppose 4*p - 779 = o + 372, -z*p = 5*o - 1157. What is the highest common factor of 32 and p?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**3 + i**3 - 2 + 5 to q*i**2 + l*i + s + r*i**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377)*2 + sqrt(1377))*-1 + -3)**2 + -2 + (2*sqrt(1377)*3)**2.\nAnswer: 162*sqrt(17) + 61972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 52\/5 of a microgram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 638277?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26.06 - 26. Let u = l + -0.56. What is the second smallest value in u, 2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -66207?\nAnswer: 66206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**2 - 232285*y + 1393746 = 0?\nAnswer: -232291, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 7*o**2 + 7*o + 9. Let v be c(-6). Suppose v*s + f = 5*f + 125, -s = 2*f - 25. What is the greatest common divisor of 14 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7376 and 160.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -87\nAnswer: 5\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -7008*s - 7103. Give y(-1).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b47c1 (base 14) to base 3\nAnswer: 211002211120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.4*156.\nAnswer: 374.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 136573815 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-9)\/(-12) - (-45)\/12. What is the second derivative of -4*l - 11*l + 55*l**3 - 65*l**r wrt l?\nAnswer: -60*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 6*z**2 + 2*z - 2. Suppose -2*c = -4*p - 2, 4*p - 5*c = -0 - 17. What is the smallest common multiple of b(6) and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 k when four letters picked without replacement from khhkkkkff?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 591\/9 + 6\/(-9). Suppose -1 = -2*a + a, 4*g - s = -a. Suppose 5*j = -d - g - 0, -3*d - 2*j - 9 = 0. Is d equal to -1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 46530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/9 + 2\/(-9). Let k(m) = 11*m + 128. Let c(p) = 7*p + 85. Let l(w) = 8*c(w) - 5*k(w). Let n be l(s). What is the greatest common factor of n and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 7:28 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 642 (b) -0.2 (c) -1 (d) -2\/169 (e) 15 (f) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1397 + 17030\nAnswer: 18427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 2\/7, -1, -45, -1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -278118, -278287, -278568, -278961, -279466?\nAnswer: -280083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 20.1. Let v = 91 + -90.47. Let r = 0.13 - v. Which is the nearest to 1\/6? (a) -2 (b) i (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*i - 86*i**2 - 1 + 19*i + 20*i - 54*i wrt i.\nAnswer: -172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*x + 3. Solve 2*b - 12 = -x*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6116 - -3994. Let m = o - -942. Round m to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 870 divided by -34.\nAnswer: -435\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 5:23 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1825 (base 9) to base 4\nAnswer: 111320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1685 (base 11) in base 9?\nAnswer: 2848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 11:46 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -1642 and -1639 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (192\/624)\/((-44)\/(-6006))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, 222, 652, 1254, 2028, 2974?\nAnswer: 4092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 783052135.\nAnswer: 5, 23, 6809149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8951 - -8953. What is the nearest to 1 in -20, 5, d, 0.27?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53739411*l**3*w + 360289*l**2 + 66*l*w wrt l?\nAnswer: -322436466*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y + 12*y + 459. Let j = y + 153. Solve 2*s - 8 + j = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/13)\/(244\/793). Let q(i) be the third derivative of 0 + 0*i - 4*i**2 + 0*i**4 + j*i**3 - 1\/20*i**5. Find the first derivative of q(c) wrt c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*j**3 + 4023976*j**2 + 17457210*j wrt j.\nAnswer: -30*j + 8047952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + -4)*5 - (sqrt(2299)*2 + (-2 + sqrt(1900) - sqrt(1900))).\nAnswer: -18 + 38*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41820196 divided by 10455049.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519 = 51*l + 481 - 1219 - 324 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4277626 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 - 29*t - 165. Suppose 6*q = 16 - 70. List the prime factors of w(q).\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 r, 1 a, and 1 l when four letters picked without replacement from mralsaorlror.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 3*x + 4. Let g be j(-3). Suppose -6*q + g*q + 3*w = -9, -3*q + 42 = 5*w. Let h = 31 - q. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 7*m - y + 16 = 0, m - 5*y - 4 = 0. Solve -30 = -2*c - m*h - 8, 0 = -2*c - h + 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 - 4*r - 10. Suppose 3*m + 27 = -5*p, 118*m + 29 = 113*m - 3*p. Let a(o) = -7*o**2 + 9*o + 20. Calculate m*a(g) - 9*n(g).\nAnswer: g**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -14*j - 52. Let a(v) = -5*v - 17. Let d(i) = -17*a(i) + 6*w(i). Let c be d(25). Suppose -c - 18 = -s. What is the greatest common factor of 20 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3131 (base 4) in base 12?\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -13*u**4\/4 + u**3\/3 + u**2\/2 + 3330*u - 1863. Find the first derivative of t(h) wrt h.\nAnswer: -39*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -x + 3*k + 126, -3*k = x - 75. Let l = 93 - x. Calculate the highest common factor of 24 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 82, 88, 96, 106, 118, 132, 148?\n\"Answer: f**2 + 3*f + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2605009739 - -4?\nAnswer: 2605009743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 7*a - 6*a + a**3 - 3*a**3 - 6*a to d*a**3 + b + f*a + j*a**2 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4\/7))**19\/(a*a**8)**(-2) assuming a is positive.\nAnswer: a**(50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -3. Suppose q*l - 91 = -2*a + 209, 5*a - 37 = -l. Does 41 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2, 3975, -29 in descending order.\nAnswer: 3975, 2, -7, -29","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r. Let b be c(-5). Let h = b + -8. Which is smaller: 2\/7 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1937467536.\nAnswer: 2, 3, 6257, 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 7*o**4\/12 + 639*o. Let h(w) = -7*w - 2. Determine h(z(k)).\nAnswer: -49*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3402 (base 5) in base 9?\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 1:42 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 231*t**2 + 11882*t + 3709. Determine u(-154).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 2. Let z(a) = -11*a - 5. Calculate 3*b(q) + z(q).\nAnswer: -8*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, b: 2, x: 2, a: 4, i: 1, y: 4}. Give prob of sequence ai.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/10)\/((-2)\/(-24)). Let r = c + 16. Suppose d + r = 2*d. What is the greatest common factor of 20 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*((-6)\/32 - 0). Let d = 5\/4 + o. Suppose -4 = -j - 11. Is j less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014959 to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -25*m + 1284 - m**3 - 2458 + 9*m**2 + 1224. Calculate the remainder when 111 is divided by x(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -271 + 26388. What is the ten thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2888.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 9. Let i be 4\/d - (-362)\/(-8). Let b = i - -119. Is 41 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31179524.\nAnswer: 2, 29, 268789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grrg when four letters picked without replacement from {g: 2, r: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 21, 1, -0.15, -2.2, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110001 (base 2) to base 3.\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-29 + 9) - 16.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*m - 102 - 88. Suppose r + 10 = -0*r + s, -3*r - 5*s - 38 = 0. Let b = r - m. Is b at most as big as -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 12*d**4 - 99*d**3 - 97*d**2 + 7*d + 7. Let x(q) = -5*q**4 + 50*q**3 + 49*q**2 - 3*q - 3. Let y(o) = -3*k(o) - 7*x(o). Find h, given that y(h) = 0.\nAnswer: -52, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 114 - 111. Let l be (-16)\/(3\/f) + 3. Calculate the remainder when 149\/3 - (-3)\/(-4 - l) is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230958023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 135\nAnswer: -134.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -678 greater than or equal to 3590?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 185939 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3947 and 5.601?\nAnswer: -2.2107147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-20) + 36\/(-5). What is the units digit of (-2)\/x - (-435)\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18 + -33061a?\nAnswer: -330602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/2 + -3 - 417. Is i greater than or equal to -406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 s when two letters picked without replacement from sfkshsfsssssssoskko?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-120*a**2 + 262*a**2 - 136*a**2 - 5012)*(-4*a + 2*a + 0*a) in the form m*a + h*a**3 + x*a**2 + y and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6270390.\nAnswer: 2, 3, 5, 7, 37, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, v: 1, n: 1, o: 1, e: 1}. Give prob of sequence ne.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 3*x**4\/28 - 3*x**3\/7 + 12*x\/7 + 88. Factor o(m).\nAnswer: 3*(m - 2)**2*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 225573, 451137, 676681, 902205, 1127709, 1353193?\nAnswer: 1578657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.038?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-27)\/(-2)*(-20)\/3. Let w be (1008\/v)\/(2\/(-10)). Let r be ((-4)\/(-6))\/((-1)\/(-21)). Calculate the highest common divisor of w and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/8 + 15\/(-6)*-1. Suppose 2*q - 13 = -0*q - 5*d, f*q + 3*d - 19 = 0. Determine o, given that -6*o + 0 + q - o + 2 + o**2 = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -73 - -88. Suppose c = 4*k + 3. Suppose -3*u - 3*z + z + k = 0, -u - z = 0. Solve -2*v + 10 = -2*a, u*a + 3*v + 8 = -v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(11) + (sqrt(22)\/sqrt(2))**2)*1.\nAnswer: sqrt(11) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**3 + 3*s**2 + 6*s. Let l(i) = -2*i**3 - 2*i**2 - 5*i. Let k(x) = 6*l(x) + 5*y(x). Factor k(p).\nAnswer: 3*p**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 101 in -0.4, 2488\/21, 7?\nAnswer: 2488\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**4\/4 - p**3 - 5*p - 1. Suppose -r + 12 = 2*r. What is the units digit of v(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -175 - -175. Let z(g) = g**3 - g**2 + 3*g + 270. What is the remainder when z(b) is divided by 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 1)*-1 - (-4 - -1). Let c be 6\/(-21) + 15\/77. Which is smaller: i or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17010 - -17015. Let k = 16.08 - 16. What is the nearest to 0 in 2\/9, 1, k, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 - 0.1. Let p = -5.2 + 3.2. Let y = p - z. Which is greater: 5 or y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31106055 divided by -6221211?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4793.105 times -4\nAnswer: 19172.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddpp when four letters picked without replacement from pddpd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1, -88, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*i + 57*i = -34. Let s be (i + -16 + -2)*53\/530. Which is the smallest value? (a) -0.2 (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 5*w + 2*w)*((-4 + 2 + 0)*(2*w + 0*w - 4*w) + 3*w + 0*w - w - 4*w - w + 4*w) - 3*w**2 - 4*w + 4*w.\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.09 + -4.91. Let f = k + 5.6. Let x = -62 + 62.1. Which is smaller: x or f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25774610 and 80420?\nAnswer: 51549220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i. Let n(f) = -41*f. Let a(y) = -6*n(y) - 51*r(y). Let o = -4 + 2. Let t be (-8)\/6*(7 + -4) - o. Calculate a(t).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 5, -3330, -185 in descending order.\nAnswer: 5, 2, -3, -185, -3330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2633*m - 52865. What is d(20)?\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -1\/60*r**4 + 1\/150*r**6 + 0*r**2 + 0 + 1\/15*r**3 - 1\/50*r**5 + r. Factor u(z).\nAnswer: z*(z - 2)*(z - 1)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 822638051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3263863 (base 10) in base 12?\nAnswer: -1114987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11806452 by 20286.\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5173 = -8*c + 9403 + 8922. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 115993200 to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54 * 0.109.\nAnswer: 5.886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 2*n**2 - 1365*n**3 - 21*n**3 - 7.\nAnswer: -1386*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 53*f**2 + 32*f - 1050. Give v(-52).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t = 14*t + 15. Let d be (-10 - -8)*(-240)\/t. Calculate the greatest common divisor of d and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b**3 - 8*b**2 + b + 5. Let o be q(3). Let w be o\/33*6\/8. Solve 4*h + w = 17 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 119, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 1455 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(1\/3))**(19\/3)*(o**(-1\/2))**(2\/101) assuming o is positive.\nAnswer: o**(3829\/909)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 9) to base 5\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.72930264 to 0 decimal places.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 2 (c) -402\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 267 less than 20?\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**5 - 16*t**4 - 52*t**3 + 160*t**2 + 192*t = 0 for t.\nAnswer: -3, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/3? (a) -5393\/8 (b) 11 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11394 and 1266?\nAnswer: 11394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -397 + 393. Let f(p) = p**3 + 4*p**2 - p - 1. Let t be f(b). Sort t, 1, -11 in decreasing order.\nAnswer: t, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3133 + -3.6867. Let t = 115\/84 + -13\/12. What is the second biggest value in t, -0.5, -1\/5, j?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssssss. Give prob of sequence sss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**5 - 2292*l**4 + 446811*l**3 - 3440406*l**2 + 2029860*l + 21432600 = 0.\nAnswer: -2, 5, 378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d*k**4 + d*k + 43131*k**4 - 13110*k - 1 wrt k?\nAnswer: -24*d*k**2 + 517572*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 46?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 274.566 + 0.434. Let q = 258.3 - t. Let n = -6.5 + q. Round n to the nearest integer.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(-3))**(-34)*(n*n**(-5)\/n*n*n)**(-17))**(-30) assuming n is positive.\nAnswer: n**(-2550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2*(-58)\/24)\/((-7)\/42) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1113 + 8?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4 + 283*b**3 + 11723*b**2 + 104501*b + 93060 = 0 for b.\nAnswer: -235, -36, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 473 + 0*n**2 - 467 - 455*n**4 + 19*n + 0*n**2 wrt n?\nAnswer: -5460*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - 3*j**2 - 4*j**2)*(-98 - 680 + 383) + (-2*j + 4*j - 3*j)*(3 - 2*j - 3) - 2*j**2 - 3*j**2 + 6*j**2.\nAnswer: 2373*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -112\/4839?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddjdddcddddjcdddc. What is prob of picking 3 d and 1 j?\nAnswer: 22\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j = 3*j - 56 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d783d + -3?\nAnswer: d783a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(204)\/sqrt(48))**2 - (sqrt(17) + (-1*sqrt(204))\/sqrt(12))**2) + (5*-1*sqrt(187) - sqrt(187))\/(sqrt(132)\/(sqrt(36)\/sqrt(3))).\nAnswer: -6*sqrt(17) + 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2203402 - -12?\nAnswer: -2203340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 x when four letters picked without replacement from zzzzzzzzzzzzzxxzzz?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4086.\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p - 6. Let r(o) = o**3 - 3*o**2 + 2*o - 1. Let l be r(3). What are the prime factors of n(l)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-261)\/116)\/(4\/(96\/(-9))) - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*d - 2*d - 3 + 9*d - 20*d**2 + 5*d**3 - 7.\nAnswer: 5*(d - 2)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 + 21*x - 20. Let r be z(9). Suppose 9 = 2*u - 3. Suppose 20 = -u*g + r*g. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 7*k - 6. Let l(j) = j**2 - 8*j + 7. Determine 5*f(q) + 4*l(q).\nAnswer: -q**2 + 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -84276 - -0.1234?\nAnswer: -84275.8766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f. Let y(o) = o**2 - 9*o - 6. Let x(w) = n(w) + y(w). Is 9 a factor of x(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 82*h + 6. Let f(s) = 84*s + 7. Calculate -3*f(k) + 4*j(k).\nAnswer: 76*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110001110010000011000 (base 2) to base 15.\nAnswer: a6770c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 4:47 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13, -36, -65, -100, -141, -188, -241?\n\"Answer: -3*d**2 - 14*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a day in seconds?\nAnswer: 48600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1287)\/(-3003)*(-16)\/(-6)*2\/(-8).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 195608, 391207, 586804, 782399?\n\"Answer: -f**2 + 195602*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/7)*m**3*(m**(-2))**26)**(-19\/5) assuming m is positive.\nAnswer: m**(6536\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 124*l**2 - 32*l + 136. List the prime factors of p(16).\nAnswer: 2, 3, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1123?\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 + 58. Let w(r) = g*r + 0*r + 0*r - 2*r. Let s(k) = 4*k**2 + 4*k**2 + 3*k**2. What is s(w(n))?\nAnswer: 44*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/19 and 292\/160*152\/(-418).\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/(-1*(-25)\/(-30)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 1. Let h be (-20 + 16)\/((8\/(-3))\/(-4)). Let z(o) = -2*o**3 - o + 8. Give h*d(g) - z(g).\nAnswer: -4*g**3 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 96 + 36738*h**2 + 8*h**3 - 36738*h**2 in the form u*h**3 + s*h**2 + c + a*h and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c - 13 + 103 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41 by -16939.\nAnswer: 41\/16939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-816)\/416 - 1*12\/(-26)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -354, -368, -398, -450, -530, -644, -798?\nAnswer: -998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/9))**(-1\/6) assuming t is positive.\nAnswer: t**(-1\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 10*u**2 + 21. Let h(g) = 17*g**2 + 36. Let l(t) = 7*h(t) - 12*o(t). Let r(n) be the first derivative of -25*n**3\/3 + 1. Calculate l(r(w)).\nAnswer: -625*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l**0\/l)\/l)**32\/((l**1*l)\/l)**(-17)*(l**(-2\/5))**(4\/3)\/(l**(-4\/7)\/((l\/(l*l\/(l*(l\/l**(-1\/3))\/l)*l))\/l)) assuming l is positive.\nAnswer: l**(-582\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54518?\nAnswer: 2, 27259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 108626809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100173 by 33391.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -875 + 37*t**2 - 4*t**3 - 4*t**2 + 45 + 3*t**3 - 260.\nAnswer: -t**3 + 33*t**2 - 1090","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + sqrt(117)) + (sqrt(117)*1*1 - sqrt(117)) + -1*(sqrt(117) - -4*(1 + sqrt(117))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 11 = 21. Suppose y*a = 15*a. Let p(h) = h**3 - h. Determine p(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 625763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 b when three letters picked without replacement from brqkqkrkkqrrqqq?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 0.2, -223784, -2\/15, 0.1047?\nAnswer: -223784","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 26, -2, 1 in decreasing order.\nAnswer: 26, 1, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1015*l + 392*l = 1011*l + 27778 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 60 = -8*u. What is the highest common factor of 10 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + m**2 - m + 11. Let q be p(0). Let b = q - 3. Let t(u) = 2*u**3 - 2*u**2 - 3*u - 4. Calculate the remainder when t(3) is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 2. Suppose -70*a - 348 - 656 = 396. Determine i(a).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4092*m**2 - m**3 + 4092*m**2.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -8. Let a = 3 - i. Suppose n + 3*s + 3 = -7, -4*n + s - 1 = 0. Put -3, a, n in decreasing order.\nAnswer: a, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/(j*j**10\/j*j*j*j))\/j)**(-4\/7)*j\/j**28*j*j**26)**(-9\/2) assuming j is positive.\nAnswer: j**(-216\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22752 and 19872?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, -1235\/11, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**4\/12 - f**3\/6 - f**2\/2 - 3*f. Let d be y(0). What is the tens digit of (-11 - -68) + (-5 - d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - n)*(-25 + 5*n + 25).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3*-0.37\nAnswer: 1.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 277*z - 5602. List the prime factors of v(31).\nAnswer: 3, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -1807.53483.\nAnswer: -1804.53483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 57*c**2 - 5*c - 11. Let j(l) = -l - 2. What is -g(d) + 4*j(d)?\nAnswer: -57*d**2 + d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4352 is divided by 115?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-four fifths of a centimeter?\nAnswer: 88000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 242 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 (5*(sqrt(85) - sqrt(85)*-5) + -5*sqrt(85)*2 + sqrt(85))\/((-2*sqrt(405)*-5 + sqrt(405) - sqrt(405))*1).\nAnswer: 7*sqrt(17)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*z**2 - 11*z**2 + 3 - 14*z**2 - 2 + 3*z to d*z + y + v*z**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j - j + 59 + j + 6*j.\nAnswer: 2*j + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 23 = k - 6*k + 2, x = -3*k + 29 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dld when three letters picked without replacement from {w: 1, l: 4, a: 1, u: 3, d: 6, t: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01993971 rounded to four decimal places?\nAnswer: 0.0199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5041*s - 130711. What is v(-26)?\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 2:45 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -9*x + 10. Let k(w) = -8*w + 9. Let g(o) = 4*k(o) - 3*y(o). Let h(i) = -9*i + 12. Let s(m) = 7*g(m) - 4*h(m). Calculate s(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**5\/120 + k**4\/24 + k**3\/2 + k. Let j(y) be the second derivative of i(y). What is j(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 6:54 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -j**2\/2 + 1. Let d(h) = 10*h + 12. Let s(c) = 4*c + 5. Let p(i) = -5*d(i) + 12*s(i). Determine g(p(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 14. Let h = d - -5. Let s = 0.04 + 3.96. Which is the closest to -1? (a) h (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731780524?\nAnswer: 2, 37, 4944463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -16 - -16 - (10 + -3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 2.2. Let k be (-15)\/(-27)*4\/10. What is the closest to 2\/3 in o, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 6*x - 28. Suppose -2*s - 9 = -3*n, 0 = 3*s - x*n + 5 + 6. Suppose -f + s*q = -59, q - 10 - 221 = -5*f. What are the prime factors of f?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*o - 17 = 0, -o = -0*d - 2*d + 5. Let f be (-1 - d)*(-100)\/40. Solve 3*n + 2*s = -6 - 1, 0 = 5*s - f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 15. Let u be (-2 - (-24)\/14) + 111\/21. Suppose -u*l + 4*l + 7 = 0. Let g be a(l). Solve v + v - 24 = -5*q, g = 4*q + 3*v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3025.59 hours to minutes.\nAnswer: 181535.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**3 - 93*d**2 + 6*d + 248. Let o be a(-31). What is the highest common factor of 29078 and o?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.859 - -0.141. Which is the fourth smallest value? (a) -5 (b) 3 (c) 3\/2 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3495*t**2 + 6985*t - 10 = 0?\nAnswer: -2, 1\/699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t. Let i(b) be the second derivative of b**4\/12 + 2099*b. Calculate h(i(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 26. Let h = z - -6. Suppose h*m - 2*m = 4*g + 617, 0 = 2*m + 5*g - 442. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrissrririsririiii?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52\/1847 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(3\/5))\/c)\/c*(c*c\/(c**(-4)\/c))\/c*(c**(-2\/21)\/c)\/(c\/(c*c*c*c**(-1\/8)*c)*c*c*c) assuming c is positive.\nAnswer: c**(3679\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 41629027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f*l - 4*f*x + 9139*f + 19688*l*x wrt l.\nAnswer: -f + 19688*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 7:45 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/12*1\/6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j - 12 = -14*j. Let n(m) be the second derivative of m**5\/20 + m**4\/12 - m**3\/3 + 3*m**2\/2 - 2*m. What is n(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1073.2 + 1073. Let a = 3 - 3.5. What is the second smallest value in 0.4, a, 1\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1485 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 7:10 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (6 + -4 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 j when four letters picked without replacement from jjttttj?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-292585)\/48900 + (-50)\/(-8).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -9. Suppose -o*x + 3*x = 0. Let g be (-6)\/(-3) + (2 - x). Solve -2*i = -g*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from susssuuuuisss. What is prob of picking 2 u and 1 i?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1145, 1075, 965, 821, 649?\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jww when three letters picked without replacement from {j: 4, w: 10}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -2\/21, -0.11, 1.8, -1\/2?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/27 + 24\/(-756). What is the fourth smallest value in c, 95\/3, 0.3, -1?\nAnswer: 95\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1063, 0, 0.1, 22.4 in decreasing order.\nAnswer: 1063, 22.4, 0.4, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 285. Let h(r) = r - 228. Let x(p) = 5*h(p) + 4*v(p). Let y(f) = 5*f + 22 + 19 - 3*f. Determine x(y(u)).\nAnswer: 2*u + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1620788 is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -49 in 0.06, 3, 1\/4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 5, -3, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 655*b**3 - 1025*b**3 + 601*b**3.\nAnswer: 231*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3636 and 1212?\nAnswer: 3636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 8 + 2. Solve -3*v - m*v + 5 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1052443 + -623?\nAnswer: -1053366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23560 + 24300. Calculate the least common multiple of 222 and n.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4 = 3*i - 11, 3*h = 0. Suppose -14 = -2*f - i*f. Suppose -4*b + f = -178. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -732*p = -8633 - 3811 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 5. Suppose 0*g = -d*g - 120. Let c be 2\/8 - (-18)\/g. Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290345?\nAnswer: 5, 11, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**5\/10 - q**4\/12 - q**3\/3 + q**2\/2 + 4*q. Factor s(f).\nAnswer: (f - 1)*(f + 1)*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -42*r**2. Let l(c) = 28832*c. Determine l(p(b)).\nAnswer: -1210944*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/1*25\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 4\/(-5))\/((-3672)\/765)\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12194223 divided by 2.\nAnswer: -12194223\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4839, -4777, -4715, -4653?\nAnswer: -4591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - n = -3*p + 106, 5*p - 109 = 4*n. Let o = -11 + p. Let b(k) = 2*k - 2. Calculate the remainder when b(14) is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 8*l - 2. Let t be -1 - (-1)\/((-3)\/(-18)). What is the remainder when i(t) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + s - 83 = 0, -1 = 2*n + 4*s + 41. Let y = 28 + n. Solve 4*u - y = 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 35*a - 46*a. Suppose a*g - 329 = -j, j + g - 114 = 221. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**9\/7560 + x**8\/1680 + x**7\/1260 - x**4\/24 + x**2. Let r(d) be the second derivative of a(d). Factor r(o).\nAnswer: 2*o**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*o**3 - 532832*o + 532832*o - 6*o**3.\nAnswer: 52*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -173338089.\nAnswer: 173338076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2543850*m**3 - 5*m**2 + 258013122 with respect to m.\nAnswer: 7631550*m**2 - 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117836, 117826, 117812, 117794, 117772, 117746, 117716?\nAnswer: 117682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -45641043*q**2 + 34940580?\nAnswer: -91282086*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*d - 8, -5*d + 12*x = 9*x - 28. Let c = -46 - -44.6. Let o = c - -0.4. What is the nearest to -1 in 0.2, d, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 2*f**2 + 0*f + 0*f**3 - 2 - 1\/4*f**4. What is the second derivative of z(h) wrt h?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 11:57 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2251 + 4*f + 2249 - 3*f - f**2 + f**3 - 6*f + f**4 as q*f**3 + o*f + n + j*f**2 + k*f**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 10*s - 13. Suppose 0 = 7*f - 35 + 21. Let z(j) be the second derivative of 1\/2*j**3 - f*j**2 + 5*j + 0. Give 2*q(u) - 7*z(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2124*u = -253*u + 5613 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 - 42. What is the common denominator of (1\/(-15))\/(s\/3519) and -97\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6*d - 17. Calculate the remainder when 62 is divided by w(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2935, -616, 6965, 19808, 37913, 61280, 89909?\nAnswer: 123800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7874254*v**4 - 16*v**2 - 120456246?\nAnswer: 31497016*v**3 - 32*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, -29, -116, -247, -428, -665, -964?\nAnswer: -1331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8556721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.47 - 0.53. Let y = 0.3 - 0.1. Let w be 3*(-2)\/(-3) - (-105)\/(-75). What is the biggest value in q, w, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101200122 + 2201221?\nAnswer: 111102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l - 12 = -l + 148 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 0, -2\/9, -0.8, -2 in decreasing order.\nAnswer: 4\/3, 0, -2\/9, -0.8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 + s**2 - 15*s**2 + (4*s - s - s)*(2*s + 2 - 2) + (-2 + 4 + 2)*(3*s**2 + 3*s**2 + 3*s**2) as n*s**2 + c*s + l and give n.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 14*r + 9*r = 10, 0 = 3*y + 4*r - 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 171 - 152. Suppose -15*j - 8 = -q*j. Solve 5*u = -j*v + 18, -2*u - 2*v - 10 = -4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -11*y + 11. Let q(z) = -z**3 + 6*z**2 - 8*z + 6. Let v be q(5). Let f be d(v). Find the common denominator of (-6)\/15 - (-19)\/f and -17\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -16. Let u(b) = 3*b**3 - 13*b**2 + 6*b + 28. Let h be u(6). Suppose -16 = 3*y - h. What is the lowest common multiple of s and y?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**2 + 3. Let f(u) be the second derivative of 13*u**4\/12 + u**3\/6 + 5*u**2 + 9*u. Determine -2*f(n) + 7*h(n).\nAnswer: 2*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 8*h + 20. Let u = -144 - -148. Let x be v(u). Solve -l + 3*s + 7 = -12, 0 = x*s + 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 13626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, o: 8}. What is prob of sequence oo?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 228.16 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.4 * -0.05.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -449 + 1052. What are the prime factors of v?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 86*s + 4986 - 2922 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 7:34 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 6 = 6*j, 5*p = -49*j + 47*j + 11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 33.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20987921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3470935504 - -0.5\nAnswer: -3470935503.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -8*w**2 - 3*w - 9. Let i(d) be the first derivative of -d**3 - d**2\/2 - 3*d - 453. Calculate 11*i(n) - 4*t(n).\nAnswer: -n**2 + n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*n - 251, 3*n - 112 - 33 = -4*m. Suppose 0*u + 6*u = 108. What is the lowest common multiple of u and n?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2109?\nAnswer: 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 - (-4 - 2) - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -4*g**2 + 25992*g - 1264004 = 0.\nAnswer: 49, 6449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 2\/3*z**4 - 7\/2*z**2 - 2\/3*z**3 - 1\/20*z**5 + 10*z + 0. Give b(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n + 3*n**4 + 6*n**3 + 3 + n - 4*n**3 as j*n**3 + z*n**2 + b*n + d + f*n**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(2\/3)*n)**(-44\/3))**49)**(-6\/11) assuming n is positive.\nAnswer: n**(1960\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 17 (b) 3\/2 (c) 110 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 46 - (-2 - -17)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p + 1 - 1. Let k(d) be the first derivative of -20 + 0*d - 5\/3*d**3 + 0*d**2. What is j(k(o))?\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -571*i + 1. Let p(n) = n**2. Determine h(p(d)).\nAnswer: -571*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*o**4\/4 - 773*o**3\/2 + 5659*o**2\/4 + 4447*o\/2 + 420 = 0. What is o?\nAnswer: -1, -2\/9, 5, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -405*c**2 + 14408*c - 28682824?\nAnswer: -810*c + 14408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/42 - (-109)\/6. Suppose f + f - c = 0. Factor f*d**4 - 2*d**2 + 5*d**2 + 7*d**3 - 5*d**2.\nAnswer: d**2*(d + 1)*(9*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**3 - s**2 + 2*s - 1. Let k be f(1). Let b = -66 - -86. Let u be 8\/b + k\/15*-13. Which is smaller: u or -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 5*a - 1283, -3*j + 3*a + 850 = -119. Suppose -143*f = -121*f + 2134. Let g = j + f. Is g a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16.000122 + -16. What is v rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cb when two letters picked without replacement from bbbrbcrbul.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(180\/64)*(3 + (-78)\/52).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m + 516 - 1266 - 411 - 636 to the form t*m + v and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3308?\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 825098707?\nAnswer: 825098707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) - (sqrt(3078) - (sqrt(3078) - (sqrt(3078) + -1*sqrt(3078)))))\/sqrt(2).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 592 = -2*j + h, 3*h - 1159 = -2*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 44.8975km?\nAnswer: 4489750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2283 * 0.9\nAnswer: -0.20547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (-4 - (-21 + 18))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3019 is divided by 45?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -12\/101 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32457\/216463 + 65\/16651. Find w, given that 8\/13*w + 0 - s*w**2 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.440023 years in millennia?\nAnswer: 0.000440023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*m - 22*m = 751 + 813 for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -488971 and 1.101.\nAnswer: -488969.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*k**3 - k**3 + 15*k**2 - 16*k**2 + 0*k**3.\nAnswer: -20*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (0 - (13 - 8)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34394*z + 39730 wrt z.\nAnswer: 34394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16, 26, 50, 94, 164, 266, 406, 590?\n\"Answer: t**3 + t**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(4\/7)*a)**5*((a*a\/a**7)\/a)\/a**(-2\/57) assuming a is positive.\nAnswer: a**(755\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 5 + -4 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.9 from 45761.\nAnswer: 45763.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 11*d**2 - 10*d - 8. Let t be y(-10). Let o(i) = -i + 2. Calculate the remainder when 59 is divided by o(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225)*-2)\/sqrt(5))\/(sqrt(9) - (sqrt(9) + (sqrt(144) - (sqrt(144) - (sqrt(144) + -2*sqrt(144))))) - sqrt(9)).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1016.30484 + -0.00484. Let w = t - 1016.2500055. Let u = -0.05 + w. What is u rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + sqrt(1700) + -5 - sqrt(1700))*-1 + sqrt(1700) + -2 + 1)**2 + 0 + -2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 102*i**2*u**2 + 2*i**2 - i*u**2 - 2*i - 8722*u**2 with respect to i.\nAnswer: 204*i*u**2 + 4*i - u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*a + 3. Suppose a*f + b + 4 = -13, f = 5*b + 22. Let u(w) = -10*w + 4. Is u(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 131478, 131616, 131756, 131898, 132042?\n\"Answer: b**2 + 135*b + 131342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 565, -3, 2, 389 in decreasing order.\nAnswer: 565, 389, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*w + 7*u - 8, 4*u - 8 = 2*w. Solve -2\/7*r**2 - 4\/7*r + w + 6\/7*r**3 = 0 for r.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10068003 divided by 372889\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 908.4352um?\nAnswer: 0.09084352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -89237, -178317, -267385, -356435, -445461, -534457, -623417?\n\"Answer: i**3 - 89087*i - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 573890727 take away 1?\nAnswer: 573890726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/3 in -3894, -1\/3, 51, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fftfrrtffttrt. Give prob of picking 1 t and 1 f.\nAnswer: 25\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 23556464*r - 22. Let f be j(-5). Let v = 60182342 + f. Let p be ((v\/(-4))\/4)\/(-1 - 0). What is p rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 2:58 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 k when two letters picked without replacement from kkkkkaqfqqjakjkfk.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 15 = 5*x - 3*k, -2*k = -5*x + 10. Suppose x = -290*i + 295*i. Suppose p = 5*d - 2 - 2, 0 = 5*d + 5*p + 20. Solve i = -f - d*f + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/169, 2, 2779, 3, 20?\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -88\/28575 and 121\/24?\nAnswer: 228600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**2\/2 - 1. Let h(i) be the third derivative of -i**5\/30 - 3*i**2. What is k(h(s))?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 548043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 114 + -148. Let w be 238\/a + (-4)\/(-2) + 0. Suppose 0 = -2*y + 9 + 1. Put y, 2, w in descending order.\nAnswer: y, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -981 + 465. Let k be t\/(-9) + (-1)\/3. What is the greatest common divisor of 38 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 423 - 190. Let x = n + -105. List the prime factors of (6\/4)\/(12\/x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tot when three letters picked without replacement from ttottootot?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 + 0.12. Let y = 0.4 - 0.1. Which is greater: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 929.51 - 887.1. Let c = 87 + -44. Let u = c - m. What is u rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -12?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o - 23. Let b(m) = m**2 - 10*m + 16. Let j be b(9). Let u be r(j). Suppose -h + 3*t = 2, -3*t - 42 + 122 = u*h. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 476 and 4?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57407*m + 15130*m - 297*m + 189657*m.\nAnswer: 261897*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3*o - 3 - 1.\nAnswer: -3*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*(v*v*v*v\/(v\/v**(-4\/5)*v)*v)\/v)\/v)\/v**24*v**(-10\/9)\/(v\/v**25))**26 assuming v is positive.\nAnswer: v**(1274\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/222 and 137\/4510?\nAnswer: 500610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37728 is divided by 490.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3042317?\nAnswer: 3042317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - 26 - (0 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/6*-1*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690626 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -5)*-3*1. Let m = 3 - w. What is the least common multiple of m and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*(-17 - (-9307)\/615))\/(1\/(-9))?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/(-55) - (1 - (-42)\/(-5)). Suppose 3*s = -s + 12. Solve s = 4*j + w for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 299150*c**4*m + c**2 - 3*c*m + 38*c + 6*m - 3 wrt c.\nAnswer: 7179600*c*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32878442.\nAnswer: 2, 17, 211, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 - -0.3. Let h = -0.36 - 0.44. Let o = h - 0.2. Which is greater: s or o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 0 + 1\/6*f**3 + 2*f - f**2 - 1\/12*f**5 + 1\/6*f**4. Factor d(j).\nAnswer: -(j - 1)*(5*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*p - 188*p + 4*j + 22 = 0, -17 = 5*p + 2*j. Let h(v) = v**3 + v**2 + v - 1. Let n(r) = 9*r**3 + 6*r**2 + 6*r + 16. What is p*n(i) + 6*h(i)?\nAnswer: -3*i**3 - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 5, 0, 6, -3 in decreasing order.\nAnswer: 19, 6, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(((-846)\/(-1880))\/(24\/(-10)))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-1.14.\nAnswer: 0.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -69*u**2 - 5*u + 67. Let o(d) = -33*d**2 - 2*d + 28. What is 4*m(j) - 9*o(j)?\nAnswer: 21*j**2 - 2*j + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.3 + 154601.\nAnswer: 154604.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 4. Let v = 4 - w. Is -1 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.12238 - -0.5\nAnswer: 1.62238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (4 - (-14 - -5)) + (19 - 8) + 23?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7)*v**8)**(-2\/17)*(v**(1\/6)\/v**3)\/(v**4\/((v\/v**(-7\/4)*v)\/v)) assuming v is positive.\nAnswer: v**(-857\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257673*u = -257653*u + 500 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 689 by 97.\nAnswer: 689\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 619256*t - 14862157. Determine n(24).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 3*b**2 - 5*b - 2. Let x be (-26)\/6 + (-1)\/(-3). Let c be l(x). Suppose -1 = -t + 2. Solve -c = -5*o + t for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/3, 28, -2, -0.5?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c**3*g + 6*c**3 - 3*g**2 + 3 wrt g?\nAnswer: -c**3 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 447807382.5 and -201.\nAnswer: 447807181.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r**2 + r**2 + 2*r**2 + (-3*r + r + 0*r)*(3*r + 0*r - r) + 3*r**2 - 5*r**2 + r**2 + 6*r**2 + 2*r**2 - 5*r**2 in the form d*r**2 + t*r + q and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1454 divide 2027384900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -271*l - 2. Let a(c) = -814*c - 5. Give -3*a(z) + 8*x(z).\nAnswer: 274*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*s - 8*s + s**5 + (-s + 4*s - 2*s)*(-16*s**3 + 16*s**3 + 5*s**4).\nAnswer: 6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8112 - 45813 = 7984*i + 2219 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - 1219*q**3 + 2504*q**3 + 2*q - 1235*q**3 - 4*q + 266.\nAnswer: 50*q**3 - 4*q + 266","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**6 + 166*g**5 + 101*g**3 + 20063*g**2 wrt g?\nAnswer: 120*g**3 + 9960*g**2 + 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1538 and 10.\nAnswer: 7690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = -2*n. Let h be 486\/10 - n\/5. Let r = -28 + h. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68c (base 13) to base 8\nAnswer: -2152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 - -1100101000101?\nAnswer: 1100101010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 4:47 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {t: 1, f: 7, c: 1}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 25 = -37 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 80*d**3*i**4 - 51*d**3*i**2 + 2*i**5 wrt i?\nAnswer: 1920*d**3*i + 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (9 + -6 - 6)) + 3 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13\/29 + -10\/87. Let h = -16\/5 + 3. What is the biggest value in 5, t, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-11 - -4) - (-1 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3.7 (b) -216 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g. Let s be a(-3). Suppose -z = 3*k - 6*k - s, 0 = -5*k - 15. Suppose -3*o + 20 = 2*q, 4*q = -17 - z. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = -a - 6*t + t - 125, 2*a + 1 = t - 24 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.5061 + -9.1837. Let m = 10.7 + n. What is m rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, 145, 185, 229?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4598, 4608, 4630, 4670, 4734?\nAnswer: 4828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1610141 is divided by 105?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -463*q**2 + 461*q**2 + 4*q + 8 + 7. Let o be v(-2). Which is the nearest to o? (a) -3 (b) -0.3 (c) -0.5 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*s - 0*t - t, s = 4*t + 4. Suppose -a - 4 = 0, -5*r - s*a - 1 = 5. Suppose 0 = -2*j - r*j + 172. What are the prime factors of j?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14808 less than -1.253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x + x + 9*x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10755 + -10743. Let f(u) = u**2 - 7*u - 19. Calculate f(y).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 < 116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1339148541 rounded to three dps?\nAnswer: -0.134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12004 = 210*i + 519*i - 22259 for i.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -3. Let v(p) be the third derivative of -p**5\/60 + p**4\/8 - p**3\/3 + 2*p**2. Give v(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 8 + 2)*(-9 + 10 + 5*x - 10*x).\nAnswer: -30*x + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**7\/210 + k**6\/60 - k**5\/60 + 6*k**2. Factor o(c).\nAnswer: -c**2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30287700 to the power of 1\/2, to the nearest integer?\nAnswer: 5503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -72.89 - -5.808.\nAnswer: -67.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -392 + -0.004861.\nAnswer: -392.004861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66682775, -66682774, -66682773?\nAnswer: -66682772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.215 = 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6099646.\nAnswer: 2, 7, 19, 23, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(171) + sqrt(171)*-1 - sqrt(171) - sqrt(171)) + sqrt(171))\/(-2*sqrt(441)))**2.\nAnswer: 1539\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.5, 1, -91, -2\/15 in decreasing order.\nAnswer: 1, -2\/15, -1.5, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 11 + 4. Let l(m) = -2*m**2 - 37*m - 20. Let v be l(f). Let j be (-5 - (-52)\/12)\/((-4)\/102). Calculate the greatest common divisor of j and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -477440 by -8.\nAnswer: 59680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - -3 - (5 - 3). Suppose d*z - 6*z = -48. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*l + 21. Suppose l*k = 6784 + 9425. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 p when four letters picked without replacement from wwwqpqwpwpwwcpqwwqw.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mc when two letters picked without replacement from mfmfcmmnffffp.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w = -4. Let i be (22\/(-4))\/(1\/w). Suppose 0 = h + 1 - i. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37072 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14617 divided by 1\nAnswer: 14617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2382 = -4*w - 3946. Let s = 2330 + w. Suppose 0 = 4*z - 544 - s. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/1395130 and -59\/8470.\nAnswer: 9765910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**2 + 2. Let a = -914 - -916. Calculate w(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1.2. Which is the nearest to l? (a) 1\/7 (b) 0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000117043 rounded to six dps?\nAnswer: 0.000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(684) - (sqrt(684) + 5*sqrt(684)))*3)*-1 + 4)**2.\nAnswer: 153900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 175\/183242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -922, -995, -1088, -1207, -1358, -1547, -1780, -2063?\nAnswer: -2402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122805821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 168 + -84. Let g = d - 84.55. What is g rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rv when two letters picked without replacement from avvrvvbvvrvvvrv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -223154*t + 446279. Give x(2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.227 and -0.1922039.\nAnswer: 0.0347961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 211*h**6 - 2*h**3 - 15*h**2 - 35*h?\nAnswer: 25320*h**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xneooxcxooqqoxqxo. Give prob of picking 1 c, 1 q, and 1 e.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/5 of a millennium?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqt when three letters picked without replacement from {f: 3, m: 4, p: 1, q: 1, t: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 - 19*k**2 - 340 - 11*k**2 + 340 + 5*k**4.\nAnswer: 5*k**2*(k - 2)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/54 and 115\/5824.\nAnswer: 157248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-360)\/(-48) - (-1)\/2. Suppose q - 2 = -h, -h - 4*q = h - g. Solve m + t + 3*t = 5, 3*t = h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/2856 and -179\/924.\nAnswer: 31416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-90 + 139755\/1573)*-65\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71340 (base 9) in base 16?\nAnswer: -b757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t**3 + 12*t**2 + 48*t + 154. Let b(z) = -6*z**3 + 13*z**2 + 48*z + 193. Determine 4*b(c) - 5*s(c).\nAnswer: c**3 - 8*c**2 - 48*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 155 (c) -3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 474*k**4 + 151*k**4 + 558*k**4 + (-k**4 - k + k)*(1 - 3 + 3) - k**4 - 2*k**4 + k**4 - 2*k**4 - k**4 + 2*k**4 - k**4 + k**4 - k**4.\nAnswer: 1178*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0*0.16\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3 = k, -3*m + 4*m + 4 = -3*k. Are k and -4\/2495 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4460393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0, 121, -47, 4 in descending order.\nAnswer: 121, 10, 4, 0, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.75 - -2.02. Let t = -1.73 - f. Which is the nearest to 0.4? (a) 3 (b) -1\/6 (c) t (d) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -116 by -116.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 5715 = h - 5710, -3*h - 78 = -6*d for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.03 (b) -6\/11 (c) 0.0249 (d) 2\/3 (e) 1\/4 (f) -19 (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -0.1238.\nAnswer: -2.1238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2711*w**3 - 103*w**2 - 134860*w?\nAnswer: -16266*w - 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1944 - 873. What are the prime factors of b?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4\/7, 2375, 2, 0.07 in decreasing order.\nAnswer: 2375, 3, 2, 0.07, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, f: 4, g: 1}. Give prob of picking 1 k and 1 g.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2628 and 318394026?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1285387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*l - p - 8, -5*l + 15 = -5*p. Let v = 4 - 4.4. Which is the nearest to l? (a) v (b) 0.4 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*4*(-9)\/(-36). Suppose -3*z + 2*l = -2*z - j, -4*z + 22 = l. Solve 4*t = z*f - 7, -2*t + 4*f = 3*t + 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 36\/9 + -2 + 31. Suppose -r - 1 = 3*a, 0 = -3*r - 0*r + 3*a + c. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -148*s + 857. Calculate u(6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0.1. Let p = -0.1 + f. Let s(w) = w**2 + 4*w - 7. Let l be s(-5). Sort p, 0.3, l in ascending order.\nAnswer: l, p, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*k = 93*k - 30 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011610595 to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -3 (c) 144.92 (d) 416\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/(144\/(-6702)))\/(13\/260) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwuuwqwwquuww. Give prob of picking 1 w and 1 q.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-130)*((-111)\/148)\/((110\/8)\/11).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22487838?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.43853 rounded to one decimal place?\nAnswer: 119.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.973 + 99.027. Which is smaller: i or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772724 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 2*h - n, -5*n - 98 = -6625*h + 6623*h. Solve -33*p + h = -41*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*5*(sqrt(2736) + 0).\nAnswer: -300*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-10)*(-1)\/(-1). Let h = 79 - 78.8. Let s = -10 - -10.5. Sort s, h, p.\nAnswer: p, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47176.99999930603 + -47177. What is i rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 10 = -6*l. Let n = -6537\/4 + 1652. Calculate the common denominator of n and (-318)\/32*l\/(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 208 + 288. Let a = k - 496.061. Which is smaller: -1\/4 or a?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -993700623*k**3*x**2 + 29591*k**2*x**2 - 194*x**2 + 3*x wrt k.\nAnswer: -5962203738*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 117 + -113. Suppose k - 2*a = 5, -m*k - 3*a + 4*a = -13. Solve -4*o + 3*c - 35 = 0, o - 20 = k*o - 2*c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 2. Let j = 4963 + -4965. Which is the third biggest value? (a) 0.5 (b) f (c) -0.2 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in four fifteenths of a minute?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 divided by -102969?\nAnswer: -367\/102969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2e316 (base 16) to base 14\nAnswer: -4cd4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**5\/30 - n**4\/8 - 30*n**2 - 58. Let d(y) be the first derivative of y + 1. Give -2*d(p) + o(p).\nAnswer: 2*p**2 - 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n**(-2\/7)*n)\/n*n*n)**22\/(n**(2\/7)\/n**(-11)) assuming n is positive.\nAnswer: n**(339\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence muu when three letters picked without replacement from ririrumlquur.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, c: 6, l: 4, x: 1}. Give prob of picking 2 c and 2 l.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 650161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 70 + c**2 + 4*c - 43 - 39. Let b be j(-6). Solve 6 = -5*f - 2*y, b*f = f + y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 17*m - 122*m - 229*m - 188*m - 154*m. Let p(q) = 3*q. Determine p(g(z)).\nAnswer: -2028*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1169442*h**2 + 1904367 with respect to h.\nAnswer: 2338884*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*n - 4*w + 18, 0 = 4*w - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f**2 - 15*f - 9. Let x(j) = -5*j**2 + 14*j + 9. Let h(d) = -5*x(d) - 4*y(d). Let m be h(-8). What is the greatest common factor of m and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1951 - 1426. List the prime factors of z.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.5 + -1.06. Let b = 0.14 - t. Let l = 183\/22 - 17\/2. Sort l, b, -5 in decreasing order.\nAnswer: l, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-50)\/22 - 8164440\/(-249469).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a meter in millimeters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 8098214.063 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -15*p + 78. Let j be d(5). Suppose -5*y + 13 = j*n, -2*y + 0*y = -5*n - 30. Let x = 13 - 12.9. Which is the biggest value? (a) n (b) x (c) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 158640?\nAnswer: 317280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -761, -1021, -1257, -1457, -1609, -1701, -1721?\nAnswer: -1657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 90181 - 90096.9744. Let t = c + -84. What is t rounded to 3 dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000866 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 139671 and 1395232?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-1\/2)\/i)*i**(2\/7)\/i)**16\/(i*i**(-6)*i*i*i\/(i**(-3)*i)*i)**31 assuming i is positive.\nAnswer: i**(-17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1002292*x**4 + 114458*x**2 - 8*x?\nAnswer: -24055008*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 293 - -3?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 2, 3, -1.\nAnswer: -1, 2, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17, 12, 13, 26, 57?\n\"Answer: y**3 - 3*y**2 - 3*y + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1366 = 5*r - k, 3*r - 2*k - 3*k = 802. Suppose 0*y + 349 = 5*y - 2*b, 4*y = -b + r. Is y a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7674421 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 3*f**2 - f + 3. Let g = -8 + 5. Let c = g + 0. What are the prime factors of l(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399327 is divided by 2434?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**3 - 241*q**2 - 158*q - 155. Is k(-80) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 217354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28)\/8 + 5 - (-92)\/(-104). Is -1 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 655?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2648.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 199704384 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0683? (a) 4 (b) 3\/4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.526 + -0.686. Which is greater: -24 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101 (base 2) to base 3.\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -17. Suppose 2*h + c = -p + 4, -5*h + 15 = 5*p. Suppose 3*s - 48 = v - 4*v, 4*s = -2*v + 36. Solve -p*f = -3*m + 2*f - 21, 4*m - 2*f = -v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 114 + -113. Let k(u) = -u**2 + u. Let s(x) = 11*x**2 - 1. Let t(o) = v*s(o) + 6*k(o). Differentiate t(f) with respect to f.\nAnswer: 10*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -9\/4631?\nAnswer: -9\/4631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 0*o. Suppose o = 3*r + 2*g - 649, -r + 208 = 5*g + 9. Let x = r - 131. Calculate the highest common divisor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102787 and 287?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -5, 0.5, -3\/11, 67, -2, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 6*w + 2310. Let t = w - 259. Let g = -76 + t. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -94\/3097005 and -4\/1445269.\nAnswer: 21679035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4773743 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 11*k**5\/60 + k**4\/6 + k**3\/2 - 13*k**2. What is the units digit of r(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 + 11*l**2 + l - 31. What is r(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 0. Suppose -1 = c*r + 2. Is r\/(0 - (-1)\/(-113)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/7, 0.2, -2, -805, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 342, 767, 1274, 1863, 2534, 3287, 4122?\n\"Answer: 41*k**2 + 302*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/223 (b) 2\/15 (c) -527 (d) -2\/7 (e) 2 (f) 0.1 (g) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1009)\/2018*-20*(0 + 4\/(-10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 40 (c) 18 (d) -0.3 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**3 + 62*l**2 + 12*l - 1272. Determine x(30).\nAnswer: 888","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 2. Let o be a(0). Let r be o*(-2)\/4*3. Let g(x) = x**2 + 11*x - 5. Let c be g(-11). Sort r, -1, c in descending order.\nAnswer: -1, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49563941 is divided by 16521313.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2*l + 71, -3*l + 0*b = -3*b - 54. Suppose 31 - l = 2*q. Let o = 34 - q. Calculate the highest common divisor of 150 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**2\/2 + 7*i\/2 - 9 = 0?\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n - 1. Let q be (-6 - (-12)\/8)*6. Let g = 28 + q. Give l(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**4\/12 - 17*w**3\/6 + 8*w**2. Calculate the lowest common multiple of 9 and g(-11).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 - -51. Let p = 31453\/22 - 1430. Let o = -2\/11 + p. What is the closest to 2\/5 in k, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.28857037 to 2 dps.\nAnswer: 6.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/32 (b) -4 (c) 2.6 (d) 0.4 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 - 18. Suppose 10*l - y = 9*l. Suppose 0 = 4*q - 19*q + 120. What is the smallest common multiple of q and l?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p = 13 + 15 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 6. Let k = 17 - 11. Let o be 0*(-2 + 15\/k). Let i be v(o). Solve 3*w - 6 - i = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*z - a, -5*z + 5 + 3 = 4*a. Suppose 2*w = -3*y + z + 9, y - 1 = 0. Solve -7*r - 6*r**3 + r**w + 8*r**2 - 12*r + 16*r = 0 for r.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5 = 23. Suppose 2*s - 4 = 0, 0*o - 4*s = 5*o - y. Suppose -w - n = -5, n - o*n = 2. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*s = -5*q + 23, 0 = 3*q - s - 11. Suppose -58 - 70 = -q*g. Let f = -10 + g. What is the remainder when f is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/597036 and 119\/10.\nAnswer: 2985180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12\/(-8))\/(6\/(-40))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - ((-412)\/(-10))\/(-168*(-64)\/3360)?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 9:57 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -12*f + 2. Let y be k(-3). Suppose 16 = -4*c - 4, 2*m + 4*c - y = 0. Calculate the remainder when m is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(1\/2)*x)**19*x**(-3)*x*x*x*x\/(x\/(x\/(x*x**1))*x))**(-11) assuming x is positive.\nAnswer: x**(-1001\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -0.3, -0.06, -4 in decreasing order.\nAnswer: -0.06, -0.3, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 104*z + 3343. Is b(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 s when three letters picked without replacement from {f: 3, m: 7, s: 4}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298313*i**2 - 4*i**3 + 3*i**3 - 4*i**3 + 217015*i**2.\nAnswer: -5*i**3 + 515328*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 81102870 to the power of 1\/3, to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 2\/203?\nAnswer: 2\/203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 4. Let p = -30 - -27. Let v(x) be the third derivative of -x**4\/24 - x**3\/6 - 8*x**2. Let g(t) = p*v(t) + l(t). Give g(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-479 - 8)\/((-138)\/(-22) + -6). Which is greater: b or -1785?\nAnswer: -1785","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377198 is divided by 34290?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 64 = 4*b, -5*s = 5*b - 0*b - 55. Suppose -25*d + b*d = -3110. List the prime factors of d.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 19 = 5*v, -2*y - 3*v = 5 - 2. Solve -y*t = 7 + 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v - 7. Let u(w) = 26005*w - 14. Calculate 2*r(p) - u(p).\nAnswer: -25997*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2630 and 4811187579?\nAnswer: 4811190209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 1. Let k be (2 + 2)\/(4\/(-14)*-7). Let u(s) = -s + 6. Let r be u(0). Let a(p) = -r - p - 5*p + p + 0*p. What is k*a(v) - 11*q(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 31050966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 147\/392 - (0 - (-932751)\/(-24))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 0 + (-1 + 3 - 1)*(3 - 2 - 3))*(2 + 3 - 4)*(-f + f + f**5).\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 + 132. Suppose -4*g = g - 135. Let a = g + -16. Calculate the greatest common factor of a and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-7) - ((-3108)\/49 + -7). Is 75 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62.07 + -0.93. Let g = 63.081 + j. What is g rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.11567 to 2 dps.\nAnswer: 1.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5688 - 7*g**2 - 5688.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**4\/12 + k**3\/6 - k. Let j(a) = 2*a**3 + 10*a**2 + 26*a + 16. Let d(r) = -j(r) + 2*l(r). Let d(m) = 0. What is m?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*z - 1933, w - 5*z = 985 - 25. Suppose -5*j + 5*n + w = 0, 255 + 515 = 4*j - 2*n. Let b = 281 - j. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 11:47 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 524775553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1040 + -1000. What is the lowest common multiple of p and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*m + 15. Let r(z) = 25*z**2 + 14 - z**2 - 32*z + z**3 - 2*z**m. Is r(-23) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 31484 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5de - -131c8?\nAnswer: 12ad9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -129, -1031, -3437, -8085, -15713, -27059, -42861?\n\"Answer: -123*y**3 - 14*y**2 + y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11 and -1540.4.\nAnswer: -1551.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millisecond in microseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 2393541426.\nAnswer: 2393541429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0140215 to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -26*m**2 - 36. Let t(d) be the third derivative of -d**5\/12 - 7*d**3\/6 - 3*d**2. Let c(u) = -2*k(u) + 11*t(u). Differentiate c(a) with respect to a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 768534 + -34582666\/45. Let a = w - 280\/9. What is the closest to -1\/2 in -1, -0.4, a, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 7:06 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124104 is divided by 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 8*b**2 - 4*b. Let w be y(7). Suppose 0 = 4*z + z + 4*g - w, 3*z = 3*g + 18. Suppose -4*a + 88 = 4*n, -z*a = 4*n - 97 - 10. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -306 or -7?\nAnswer: -306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 - -33) + -7 + 1 + 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1\/4 (b) 0.3 (c) 1 (d) 82770\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4 = -5. Let c(m) = m**2 - 4. Let o(z) = 6*z**2 - 20. Determine f*o(k) + 16*c(k).\nAnswer: -2*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1170780 by -780.\nAnswer: -1501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)*q)**(-1\/7)*(q*q**(-1))\/((q*q**6)\/q*q)*((q\/(q*q**(3\/8)))\/(q\/q**(-2)))\/(q**(-2\/5))**(-10) assuming q is positive.\nAnswer: q**(-115\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, e: 3, x: 2, j: 3, b: 4}. What is prob of sequence ebbe?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.352 rounded to 0 dps?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 10, -1.\nAnswer: -1, 10, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -76 + 84. Find the second derivative of -25*x**5 + 980 - 980 - r*x wrt x.\nAnswer: -500*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (480\/4)\/(5 - (13 - 11)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/((sqrt(200)*-1 - sqrt(200)) + sqrt(200)).\nAnswer: -sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -26, 5, 14, 6 in increasing order.\nAnswer: -26, -4, 0, 5, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.09298 and -0.04.\nAnswer: 0.0437192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2651 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, 1, 5.\nAnswer: -7, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14686201.\nAnswer: 14686201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 887137?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 5*z**3 - 4*z**3 - z + 5*z to the form g*z + t + w*z**3 + p*z**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Suppose 136 + 0 = q + 2*m, 3*m = 11*q - 1546. Calculate the least common multiple of 574 and q.\nAnswer: 5740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11067 + 3671 + 23*w + 3669 + 3727 + 12*w.\nAnswer: 35*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -171*j + 270*j - 256*j**2 - 99*j + 481*j**3 wrt j.\nAnswer: 2886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*(-2*(sqrt(931) + -1) + 5*sqrt(931)*1 + 3 + -1)**2 + 3.\nAnswer: -16786 - 336*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*q - 5*q = 8, f + 5*q + 20 = 0. Let b(x) = -x**2 + 4*x + 520. Let m be b(f). Calculate the highest common divisor of 40 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 76 - -473667.\nAnswer: 473743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1633776 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7806 is divided by 3610.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26537582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 + 22379392 - 22379392.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 10:36 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -188404*s + 753648. Determine a(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -185*t + 6803. What is s(37)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 6*s - 3. Let a be t(-4). Suppose j + 0*j = 2. Solve 3 = j*p - a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(54\/3)\/(-6)*(-47)\/((-44415)\/(-84))\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 306\/39 + (-4)\/(-26) and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -2*u - 22, 0 = 5*m + 18*u - 20*u - 25 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -4 + (27 - 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 11*b**3 - 15*b**2 + b + 12. Let t(o) = 5*o**3 - 7*o**2 + 6. Let r(m) = 4*q(m) - 9*t(m). Let p be r(4). Is 2\/p - 21\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 368.\nAnswer: 5\/368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1298536 by -4.\nAnswer: -324634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**2 + 846970*x - 35867909045 = 0.\nAnswer: 84697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -1993*m**6\/120 - 389*m**4\/12 - m**3\/3 - 4*m**2 + 51*m. What is the second derivative of y(s) wrt s?\nAnswer: -11958*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -4 + 0 - -21. Suppose -2*u + 9 = -3*u. Let x = m + u. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6)*-2*(-9)\/9?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 11 + 244. Suppose z + 9 = 4*z. Suppose z*y + 7 = 58. What is the highest common divisor of l and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*g + 30 = -37*g. Solve -g*f + 13 = -32 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 235 divided by 47.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - 33. Let b = -67 + 70. Solve -2*l - b*l - v = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*n - 18*n - 40 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8841870*b + 20*r = 8841874*b + 40, 4*r = -2*b - 62 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7760*o*z**2 - 22*o*z - 3*o + 9*z wrt z?\nAnswer: -15520*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 3 - 7) + (-8 - -2 - (23 - -3))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -128 and -133.42?\nAnswer: 17077.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-126 - 302 + 69)*(3 + 2*n - 3).\nAnswer: -718*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3437 or 584227\/170?\nAnswer: 3437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -7 - 9 + 3*s + 18. Let v(a) = 17*a - 20. Let l be v(1). Determine h(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i - 9. Let j(m) = 9. Let d(t) = 6*f(t) + 5*j(t). Determine d(-7).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 2*u = 25, -4*g = -4*u - 164. Suppose 3*n - n + 5*a - 64 = 0, -2*n = -2*a - g. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 631 (b) 1 (c) 2\/13 (d) -5 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*i - 25 - 250 = 0, -c + i = -148. Let m = c + -134. Let g = -6 - -8. Calculate the remainder when m is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 1:16 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 740092 and 18656?\nAnswer: 65128096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2445841 + -6?\nAnswer: -2445847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/(-1)*1)\/((8\/4)\/(24\/(-8)))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -17*b - 15. What are the prime factors of j(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1277*y**5 - 5*y**4 - 4247*y + 1.\nAnswer: -25540*y**3 - 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -3*a + 2*r, -4*a + 0*a + 165 = 3*r. Let f = -28 - -40. Calculate the remainder when a is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -535 + 548. Suppose 0 = t*p - 79 - 948. Calculate the remainder when 1578 is divided by p.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2143599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14\/9*w**5 - 28\/9*w + 0 - 82\/3*w**3 + 130\/9*w**4 + 158\/9*w**2 = 0.\nAnswer: 0, 2\/7, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1365665 and -1989391.5?\nAnswer: 623726.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2484, -4968, -7452, -9936?\n\"Answer: -2484*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21)\/(-9) - 14\/42. Solve 24 = 2*b - y*w - 2*w, 2*b - 3*w - 19 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3392.21 and 8.962?\nAnswer: 3383.248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10672 and 534267?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by (-6 - -3)*-1 - -7?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 310, 341, 372?\n\"Answer: 31*i + 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {w: 1, z: 1, a: 2, e: 1, h: 1, l: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -278107?\nAnswer: 278108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-72)\/(-5) - 10\/25) + -4. Suppose -1345 = -t*l + 65. Suppose -l = 21*k - 24*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -36, 4, -1916, 7 in decreasing order.\nAnswer: 7, 4, -3, -36, -1916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 205 - 6. What is the remainder when q is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -3 + (1 - -3). Let w be -4*q\/(-4) - -2. Suppose -v + 3*s + 16 = 0, -5*v + 16 = -w*v - 4*s. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -108459*m**3 + 55659?\nAnswer: -325377*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28aa8 (base 13) to base 8.\nAnswer: -225356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -57703, -57730, -57757, -57784, -57811?\n\"Answer: -27*k - 57676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1464*m**2 - 894*m**2 - 1545*m**2.\nAnswer: -3903*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -633, -636, -639?\n\"Answer: -3*m - 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/77 - -361\/616. Which is bigger: -2\/5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -8*n - 9. List the prime factors of u(-7).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 9) to base 13.\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or -83?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 192*p**6*t - p**2*t - 9*p**2 - 6*p*t wrt p?\nAnswer: 23040*p**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 1\/12896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -18054298a?\nAnswer: -180542985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 9*g**2 + 2*g + 13. Suppose -3*d - 16 = 11. Let m be v(d). Let k = 9 + m. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6433 to the nearest 100.\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/72 and -125\/1788?\nAnswer: 10728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/11 + -14\/33. Let n = -19 - -15.8. Let v = -0.2 - n. What is the second biggest value in o, 1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 0 + 1\/12*k**4 + 0*k**5 + 2\/15*k**6 + 0*k**3 + 2*k + 0*k**2. What is the third derivative of f(q) wrt q?\nAnswer: 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129903534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 s when two letters picked without replacement from nnnnnssn?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 b, and 1 q when four letters picked without replacement from bqqxbxqyxqyyexqexxq.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*7\/(-336) - 862\/(-12). Let z be (-2)\/3 - 56\/(-3). What is the highest common factor of c and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 14*r**2 + 3. Suppose -12 = -7*o + o. Suppose a + 5*l = 2*l + 27, -2*a - o*l = -34. Calculate the least common multiple of a and x(14).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -326813 = -186*v - 85757. Calculate the lowest common multiple of v and 32.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**3\/3 - 9*u**2\/2 - 8*u - 6. Let i = -151 + 154. Calculate the remainder when t(-7) is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2 - 10914*x - 7885076 = 0. Calculate x.\nAnswer: -646, 6103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2285.0000163 + -2285. Round x to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2629078633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/7, -3\/7, 0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27412181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/15)\/(1\/(-5)). Let q(r) = 35*r - 6. Let w(y) = 17*y - 3. Let u(f) = 3*q(f) - 7*w(f). Let c(d) = -1 + 0*d - 9*d + 14*d. What is l*u(b) - 17*c(b)?\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9, 32, 71, 126, 197?\n\"Answer: 8*g**2 - g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h - 1. Let k(y) = 25*y - 10. Let j(v) = -k(v) + 6*r(v). Let c(u) = -2*u. What is j(c(d))?\nAnswer: 2*d + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1254818.\nAnswer: 2, 31, 37, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q**3 + 243*q**2 + 603*q - 29076. Determine s(40).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595431 is divided by 1029.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (9 - (-13 + 28))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 - -6.94. Let a = 12 - f. Let w be ((-15)\/45)\/((-1)\/(9\/33)). What is the second smallest value in a, w, -1\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -176, -159, -138, -113?\n\"Answer: 2*i**2 + 11*i - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 39 = -3*t - 3*y, t = 4*y + 19. Suppose -6 = 3*m + 3*k - 27, -5*m = -3*k - t. What is the second biggest value in m, 0, 4\/41?\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -2*q - 76, 4*h - 1289 = -2*q - 1345 for q.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 <= 560?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1936 and 2?\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20358?\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198, 1613, 5464, 12969, 25346, 43813?\nAnswer: 69588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 8*s**2 - 6*s - 2. Let a be d(7). Suppose -5*n = j - 21, 2*j + a = -j + 2*n. Put j, 0, -3 in decreasing order.\nAnswer: j, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.8 + 5.6. Let y = 0.6 - 3.6. Let q = y - s. What is the third biggest value in q, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10015*j = -10030*j - 15. Is j smaller than -36\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*((567\/84)\/27)\/(2\/(-56))\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ufrr when four letters picked without replacement from ruurrrrrrf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2079*u**3 - 1962*u**3 - 2*u**4 + 243*u**2 + 123*u - u**4 = 0.\nAnswer: -1, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -150770953 - -262370956. Let l = -40 - -22. Let j be r\/l + (-1)\/(-6). Round j to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(10)\/sqrt(2) + 2)**2 - (sqrt(45) + (-1*sqrt(45) - sqrt(45)))*5.\nAnswer: -5*sqrt(5) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1a1 (base 12) to base 8\nAnswer: -411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 185.6874 grams in kilograms?\nAnswer: 0.1856874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 4*v + 4. Let o be k(3). Let a = 2 - 0. Solve -o*j = -a*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3 or 7\/58?\nAnswer: 7\/58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2569 - 2559. What is the highest common divisor of q and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**10*((d*d**(-4\/19))\/d)\/d assuming d is positive.\nAnswer: d**(167\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -11411?\nAnswer: 11410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -51601 (base 8) in base 13?\nAnswer: -9965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*k + 34*k - 12 + 12 + 139*k.\nAnswer: -19*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -392*i**2 + 2613*i + 9. Is 33 a factor of r(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, -1, -21, -49?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1037305703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 15*m**2 - 16*m + 17. Let p be k(-14). Let l(u) = 8*u - 1. Let r be l(-3). Let v = r + p. Calculate the highest common divisor of v and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frw when three letters picked without replacement from {f: 2, r: 5, w: 2, a: 5, j: 1, s: 2}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1212268?\nAnswer: 2, 37, 8191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21618 and 1056?\nAnswer: 3804768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 476 - -1097. Suppose n + 1160 = 4*v, 2*v - a = 2*n + 765. Is 13 a factor of 6\/(-30) + n\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*h - 3577 - 2996 + 48 = 0 for h.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.7 - 2.3. Suppose -3 = -o + 4*o. Let k be 2*-1 - (-3 - o). What is the third biggest value in 4, k, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 9*y**2 - 9*y - 9. Give l(-7).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 353422, 353423, 353424, 353425, 353426, 353427?\n\"Answer: c + 353421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2152787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.08 + 36.08. Let d = n - 35. Let k = 48 + -191\/4. What is the closest to 1 in -1, d, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -0*b - 272. Let g(q) = q**3 - 18*q**2 - 15*q - 11. Suppose -6*u - 114 = -12*u. Calculate the remainder when g(u) is divided by b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 + 38033936*k**2.\nAnswer: -2*k**2*(k - 19016968)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l. Let i be h(1). Let m be 13\/16 + (i - -3). Do -1 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(1 + 18\/(-4)). Let f be ((-30)\/c)\/(6\/42). Let d = 43 - f. Calculate the remainder when 38 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -2. Let d(f) = -l - 1 + f**2 + 4. Let p(m) be the first derivative of -m**2\/2 + 1. Give d(p(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32833 is divided by 388.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 20 = -v, 2*r = -v + 21 - 13. Find the second derivative of -7 + 23 + a - r*a + 9 + 161*a**2 + 14*a**2 wrt a.\nAnswer: 350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 3 = 4*n, -3*n + 16*v = 21*v - 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10, -10, -6, 2, 14?\n\"Answer: 2*d**2 - 6*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272832190.\nAnswer: 2, 5, 829, 32911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3007151, -3007167, -3007185, -3007199, -3007203, -3007191, -3007157, -3007095?\n\"Answer: z**3 - 7*z**2 - 2*z - 3007143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 8:40 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 220665270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360480900.\nAnswer: 2, 3, 5, 13, 92431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 2, -6, -20, -40, -66?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*l = -y + 2770, -4*l - 2216 = -4*y. Find the third derivative of q**3 + 551*q**2 - y*q**2 - 4*q**3 wrt q.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -11, -244, 0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 1, 24, -18 in increasing order.\nAnswer: -18, -9, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - 0.2. Let l = w - 0.5. Let o = -0.8 + 0.3. Sort o, l, 0 in decreasing order.\nAnswer: 0, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -29*b + 11 + 37. Solve 3*d + 3 = -3*u, -d + 6 = 4*u - b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -16133309.\nAnswer: 1613330.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - h - 7 = 0, -5*x + 3 = -5*h - 12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 100. Let n = -122 + w. Let i = -45.8 - n. What is i rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 21, 52, 101, 174, 277, 416?\nAnswer: 597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190446*y + 190367*y = 869 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 2:34 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1615 - -1613.5. Which is the fourth biggest value? (a) w (b) 6\/13 (c) 1\/5 (d) 3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2\/3)*q)\/q**0*q**(-1\/4)*q\/(q\/(q\/(q**(-1\/4)\/q)))*q**(1\/2)\/q*q**3\/q*q**(-1\/6)\/q**(-1\/3) assuming q is positive.\nAnswer: q**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (1 - -7) - 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, b: 16}. Give prob of picking 4 g.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/9*(-3)\/(-2). Suppose -5*h = -3*c + 17, c - h + d*h = 1. Solve 0 = c*v - 3*s + 17, -3*s + 2 = -7*v + 6*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13302714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (5 - 11) - 2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1090.869 - 6.131. Is 5\/2 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3004 = -5*k, 15*k = 18*k - m - 1799. What is k rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 6*p + 94 = 3*p, 0 = 4*p. Let z = s - -31. Let y = z + -90. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010001100000110011 (base 2) in base 16?\nAnswer: -91833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(3)*-1)*4 - sqrt(9)\/(sqrt(147)*-4).\nAnswer: -111*sqrt(3)\/28 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11730 - 11725. Solve -4*f = -4*o, 65*o - 67*o + i = 3*f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77\/4 + -393\/20. Let d = -223 + 219. What is the nearest to -2\/5 in d, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -48*c. Let a(z) be the second derivative of z**4\/2 - 3*z + 75. Determine h(a(u)).\nAnswer: -288*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 10*w - 7. Let m be d(-11). Suppose -22 + 2 = -m*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 19*y + 34 - 8 - 5 - 13*y**2 - 38*y - 5. Calculate v(-11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**3*q + 630*c**2*q + 18833*c*q - 610207940*q wrt c?\nAnswer: -6*c**2*q + 1260*c*q + 18833*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12483558509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(1\/2)*d*d)\/d)\/(d**(1\/9)\/d*d)*(d*d**1*d)\/d**(3\/4))**(-20) assuming d is positive.\nAnswer: d**(-835\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 280387253 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4, 143*g = -4*j + 146*g + 116480. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-11))\/(a\/(a*a\/(a**(-42)*a))) assuming a is positive.\nAnswer: a**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 796299277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**2 - 4. Let t(z) = -3*z**2 - 1092*z + 1092*z. What is m(t(s))?\nAnswer: -45*s**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.6839869 - -5.\nAnswer: 7.6839869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 233 (base 10) to base 13\nAnswer: 14c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = -4*h + 6, 4*c - 17*h + 22*h + 3 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swdvz. What is prob of picking 1 d, 1 w, and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-3 - (0 - 2)). Suppose -p - 19 = -u*p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4886.\nAnswer: 2, 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 417 and 13344?\nAnswer: 13344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22\/(-6) - 1\/3. Let x be -1 + 3 + d + 106. What is the highest common divisor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1004.0340421281 + 0.0325691281. Let j = x + 1004. What is j rounded to 5 decimal places?\nAnswer: -0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38066717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c + 2*n = -2, 3*c - 39419*n = -39416*n + 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*z - 40523, z + 2*i = 209 + 13296. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007566105 to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 29.4.\nAnswer: -14.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 68, -0.3, 5.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 492 - -886.\nAnswer: 1378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m - 3*m + m + 2 + (m - 7*m + 3*m)*(-2 - 1 + 1).\nAnswer: 7*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 - 11 = 13*y. Suppose 0 = y*r + 3*q - 2380, -2*r - 16*q + 952 = -14*q. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.4 + 0.4. Suppose 3*k = -4*k + 28. Which is the biggest value? (a) d (b) k (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 19856 (b) 0.786 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5.5 (b) 4 (c) 5\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*u - 28487 = -394713. What are the prime factors of u?\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(55)\/sqrt(5)*-2).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 136*c - 218*c + 158 - 568 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-106)\/(-35139)*51)\/(((-20)\/442)\/(-5)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -91 - 106c18a?\nAnswer: -106c24b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -213, -7, 1, -2, -8 in ascending order.\nAnswer: -213, -8, -7, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3317434*p. Let h(v) = 30*v. Determine h(x(b)).\nAnswer: -99523020*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 87881721973944 and -0.05?\nAnswer: 87881721973944.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13113811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 763153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1594 + -1094. Does 20 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2335?\nAnswer: 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -173264, -346285, -519306, -692327?\n\"Answer: -173021*o - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - g - 3*g = 10, -5*r - g - 30 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 5, -12, -2, 688, 0 in decreasing order.\nAnswer: 688, 5, 0, -2, -3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -245, -1475, -4765, -11141, -21629?\nAnswer: -37255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiv when three letters picked without replacement from {i: 5, v: 5, s: 4}.\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/6*3\/2. Let m be (0\/1)\/((-4)\/(-2)). Suppose 11 = p - 3*v, 0 = 3*v - 7*v - 20. Which is the closest to 1? (a) m (b) p (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -10155?\nAnswer: 10202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -157\/790 + 879103\/7110. Let t(f) = -2*f**2 - 10*f + 8. Let y be t(6). Let v = d + y. Find the common denominator of v and -28\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-13)*t)\/(t**(-7\/2)*t) assuming t is positive.\nAnswer: t**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.97 to 1 decimal place.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3602, 3731, 3952, 4265, 4670, 5167, 5756?\nAnswer: 6437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -5.8, -5, 0.5, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 98151707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2070900\/6075*9\/1 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/((2\/(-33))\/((-12)\/(-27))) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -318 + 323. Let p(i) = 3*i**2 - d*i**2 + 4*i**2. Let r(a) = 146*a. Give p(r(v)).\nAnswer: 42632*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 399?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41218*b*q - 268*b + q - 4137 wrt q.\nAnswer: -41218*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -30*n**2 + 329*n + 22. Calculate the lowest common multiple of j(10) and 260.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 8084*g - 291030. Calculate h(36).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 2 (b) -2 (c) 6.35 (d) -4.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 567793 to the power of 1\/2, to the nearest integer?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4782*a - 755567. What is w(-158)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/9)\/m)**34 assuming m is positive.\nAnswer: m**(-238\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w + 3 = 0. Let f be ((-2)\/1)\/(-2) - w. Let m be (-6)\/(-33) + (-228)\/44. What is the second smallest value in -3, m, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*j - 42*j + 71*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 5:36 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.2 (c) -5.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -111572, -111566, -111558, -111548?\n\"Answer: j**2 + 3*j - 111576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + h + 13 = 0, 2 = -3*c - 4*h - 10. Let d = c + -19. Let t = 44 + d. Calculate the remainder when t is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2775004387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15015.3 + 14396. Round q to the nearest 10.\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011376 rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 42624 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 divided by -9?\nAnswer: 91\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*k**3 + 142*k - 71*k - 71*k.\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/14)\/(4\/(-14)). Let q be 142 + (2 - (-3 + k)). Suppose 2*c - q = -c. What is the remainder when c is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*g + 4*g = -486 - 90 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -873 + 1500 - 9*y**2 - 1738 - 2619.\nAnswer: -9*y**2 - 3730","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20664?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, 0, 3\/5, -2, -1\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 + -2 - (-75 - -87) - (-1 + (6 - 5)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (-1)\/(2\/14). Suppose -5*i = -2*c + z, -3*c - 3*i = -6*i - 9. Solve 2*r + p = -7, 3*p = -0*r - c*r - 18 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 821, 1212, 1873, 2828, 4101?\n\"Answer: 4*q**3 + 111*q**2 + 30*q + 676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**3 + 24*r**2 - 21*r + 247. Calculate t(-14).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*c**5 - 1295*c**4 - 693*c**2 + 34423951*c wrt c?\nAnswer: 200*c**3 - 15540*c**2 - 1386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 270024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -352, -619, -880, -1129, -1360, -1567, -1744, -1885?\n\"Answer: c**3 - 3*c**2 - 265*c - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12495 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = o - 13. Is 2\/10*(o - -3948) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 706976165?\nAnswer: 5, 7, 73, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/4)\/((180\/6)\/1). Let y(h) be the second derivative of 0 - 5*h - 2\/3*h**3 - 1\/2*h**2 + a*h**5 - 1\/6*h**4. What is y(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 1838*m - 448. Let b be i(32). Calculate the highest common divisor of b and 228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17 (b) 0.0466 (c) 0.3 (d) -0.4 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -109 - (42 + 0 + -74).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f + 37. Let n be q(-9). What is the closest to n in 0.2, 0.6, 5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -168678 + 83577 + 89936 - 3679*j**4 wrt j.\nAnswer: -14716*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 9) to base 6\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 17*r**2 - 209*r + 23. Determine o(11).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 275, 1480, 4615, 10646, 20539?\n\"Answer: 161*c**3 - c**2 + 81*c + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -17. Let n = -5.4 + 8.4. Which is the closest to 1? (a) n (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 130 = -5*l, 2*r + 1408 = -2*l + 1368 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420*d - 9503 + 939 = 4876 for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 11 + 5 = 0. Let d(m) = m**2 - 2*m - 5. What is the remainder when d(c) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -17 (c) -0.1 (d) 1\/837\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 d, and 1 v when three letters picked without replacement from vkyydvddvvkvvvvvdvvv?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oololllwooww. What is prob of sequence ow?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m - 4. Determine q(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(425) - sqrt(17))*2.\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 2 - 6)*(1 - 2 + 5)*(2*k - 2*k - k) + 4*k - 7*k + k in the form z + l*k and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1155 and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7441080869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4\/4 + 1203*g**3\/2 - 2403*g**2\/4.\nAnswer: -3*g**2*(g - 801)*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5458 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + (-4 - 0) + 13)*(-11)\/(-99). Let m(d) = d**3 - d**2 - 1. Let s(o) = 2*o**3 - 5*o**2 - 5. What is a*s(i) - 5*m(i)?\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -7*c + 8. Find the third derivative of 21*w + 5*w**2 - 11*w**c - 21*w wrt w.\nAnswer: -264*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - ((1 - 0) + -5). Let m be 3\/j + (-124)\/72. Let l = 61\/315 - -1\/35. Which is the nearest to 0.1? (a) l (b) m (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**5\/450 + 485*f**4\/18 - 1176125*f**3\/9 + 2636*f**2 - 1. Factor z(h).\nAnswer: -2*(h - 2425)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211193399591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*f**4 + 2*f**4 - 11*f**4 + 3*f**4 + 17*f wrt f.\nAnswer: -72*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 437*d - 1215. List the prime factors of p(6).\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 321258.9 to the nearest one thousand.\nAnswer: 321000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 89040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yg when two letters picked without replacement from {y: 1, g: 3, f: 3, c: 5}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 4)*(-118 + 53*y - 72 + 189).\nAnswer: -212*y + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3006 + 4714. Suppose -5*a + z = -157. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 h when three letters picked without replacement from {h: 2, e: 3, w: 5}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3337001 (base 8) in base 16?\nAnswer: dbe01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 587452733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 - s + s + (s**2 - 2 + 2)*(1 - 1 + 2*s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 4) to base 9\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7681824 divided by 12?\nAnswer: -640152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 127, 518, 1447, 3130, 5783?\n\"Answer: 36*r**3 + 53*r**2 - 20*r + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-32)\/12)\/(-4))\/((-4)\/(-96)). Solve -3*c + 2*p = 12, -12*p = -a*p + 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*p - 5*p - 25*p + 5*p**2 + 35 = 0. Calculate p.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2095 less than -1.4?\nAnswer: -1.6095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1312719+8255\nAnswer: -1304464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-9 - (-5 - -10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 39*k**2 + 345*k - 112. Calculate j(-26).\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/9*3*103. Let d = 180 + h. Let i(b) = d*b - 83*b + 2*b**2 - 3*b**2. Give i(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88378833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i**2 - 39*i**2 + 62*i**2 + 0 + 0.\nAnswer: 35*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/208 - 75\/(-60).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**2 + 450656930*w - 10154583427851245 = 0 for w.\nAnswer: 45065693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -678 - -705. Suppose z = g + 25. Solve -g*p + 5*p = 5*m + 2, -4*m = p - 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -11\/9, 7, -1\/2, 0.5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -8*x - 5. Give y(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 0 + 28\/3*p + 88\/3*p**2 - 7\/3*p**4 - 37\/3*p**3 = 0?\nAnswer: -7, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 246076089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2183*k - 3060*k - 1899*k + 1128*k - 1042*k to the form s + p*k and give p.\nAnswer: -7056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15215*h*i**2*w + 2*h*i**2 - 2*h*i*o + 2*h*i - 684*h*o*w - 34*i**2*o - 273*i**2 + 3*i*o wrt w.\nAnswer: 15215*h*i**2 - 684*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/2939 - -105790\/20573. Suppose -33 = -p + 37. Let c = p - 66. Are g and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**4 - 76014*i**3 - 1444456033*i**2 + 2889140112*i - 1444608064 = 0.\nAnswer: -38008, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/92 and -13\/893128?\nAnswer: 20541944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/21 of a week?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -98461, -196954, -295447, -393940, -492433, -590926?\n\"Answer: -98493*p + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 + 7*s**3 + 0*s**3)*(2*s + s - 4*s)*(-1 + 4 - 2).\nAnswer: -6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -2 (c) -4 (d) -9 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**4\/4 - 7*l**3\/3 - 7*l**2. What is the units digit of i(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 408864 and 8864.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q - 5395 + 2184 = 0. Calculate the remainder when q is divided by (-9 - -6)\/((-9)\/66 + 0).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 110*q - 25*q - 1360 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -555 or -554?\nAnswer: -555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342*q - 20037527 = -6502193. List the prime factors of q.\nAnswer: 19, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c + 7*c + c + 7*c. Let m(k) = 5*k. Calculate i(m(b)).\nAnswer: 55*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -264 - -273. Let h(p) = 5*p**2 - 5. Calculate the smallest common multiple of u and h(2).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 2*y + 6*y)*(1485*y**2 + 214 - 743*y**2 - 740*y**2).\nAnswer: 6*y**3 + 642*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 7 + 10 - (6 - 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, s: 3, d: 1, j: 1, e: 4}. Give prob of sequence tssj.\nAnswer: 5\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*w**2 + 44*w**2 - 22*w**2 + 3 - w**2 - 3 + (-2*w - 4 + 4)*(4*w - 3*w + 2*w) as s*w + h + j*w**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09933245 rounded to 4 dps?\nAnswer: 0.0993","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -797 - 3574 - 8*d - 3*d + 16*d - 7*d to o + t*d and give o.\nAnswer: -4371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1563822021?\nAnswer: 3, 16843, 30949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34.19 + 33.79. Which is the closest to 1? (a) f (b) 0.05 (c) 1\/5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224 - 58*l + 76 + 71 + 77.\nAnswer: -58*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -9\/189199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -297.837 + 298. Let f = l - 0.153. Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 g, and 1 o when three letters picked without replacement from {g: 1, n: 2, o: 5, f: 6, w: 2}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(8\/(-4))\/(-2). Suppose 2*a + c*x = -2*a + 34, 4*a - x = 19. What is the second derivative of 4*r**4 + a*r - 2*r + r wrt r?\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 799 + -798.606. Let g = f - 0.3940126. What is g rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 3:53 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -581333 divided by 2?\nAnswer: -581333\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + 2 + 1*sqrt(275) + 3))**2.\nAnswer: 1250*sqrt(11) + 7500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 4*n - 29, -5*d + 34 = -2*d - 5*n. Let f = 2 + d. Suppose 0 = f*a - 2*p - 54, -a - p + 2*p + 12 = 0. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 11 = -5*z - 2*r, 4*z = 3*r + 15. Suppose -2*k + 29 = 4*x - 83, k + 74 = z*x. Calculate the highest common divisor of 26 and x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3354\/(-1935))\/(-11*(-2)\/70). Does -7 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/219 smaller than -11.47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33233002 - 2212?\nAnswer: -33301220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -1)\/(4\/20). Let d(f) be the third derivative of 0*f**3 + 0*f + 0 - 1\/30*f**c + f**2 + 0*f**4. Let h(r) = r. Determine d(h(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241331*d**3 - 482667*d**3 + 241335*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 540 + 131. List the prime factors of b.\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19319 - -10670.\nAnswer: -8649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/109, 1\/4, -11274, 4 in descending order.\nAnswer: 4, 1\/4, 6\/109, -11274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 88 = 3*u + 28, 3*u - 17*m - 298 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4987421?\nAnswer: 61, 81761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/2))**15)**10\/(k**(2\/23)*k**(2\/13))**(20\/7) assuming k is positive.\nAnswer: k**(155535\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/130 and -69\/34?\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.3, -5, -0.5, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3663 = -4*p - 5*p. Let f = -244 - p. Let l = -116 + f. What is the remainder when l is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*w - 2*w**2 + 71*w - 94*w.\nAnswer: -2*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -6*r + 301. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/2*(0 - -1444). Let t be 4\/14 + (-119272)\/168. Let c = t + k. Calculate the common denominator of -97\/10 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**3 + 4578*r - 4578*r + 172 to d*r**3 + h + s*r**2 + v*r and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**8\/504 + y**7\/105 + y**6\/60 + y**5\/90 - 5*y**2. Factor w(l).\nAnswer: 2*l**2*(l + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sho when three letters picked without replacement from mdsomuoohuuoom?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/2295 - 943\/57375. What is the third smallest value in -0.1, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 165*b**4 + b**3 - 378*b + 3042058?\nAnswer: 660*b**3 + 3*b**2 - 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 26 = -106. Let t(k) = k**2 - 18*k + 25. Is t(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/16)\/((-281)\/(-21918))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -245995262 or 0.2?\nAnswer: -245995262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u - 2. Let j be i(-2). Let v = 0.4 + 3.8. Let n = v - 4. Which is the closest to n? (a) -5 (b) -0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -14*1*(-1)\/(-1). Let w(s) = -532 + 166 - 6*s + 171 + 178 + 6*s**2. Is w(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15253, -15251, -15249, -15247, -15245?\n\"Answer: 2*m - 15255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 341344690.\nAnswer: 2, 5, 19, 157, 11443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 9*o - 196. Suppose 32*w = 44*w - 276. List the prime factors of f(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/28 of a week in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-18418)\/1552*-1. Let r be 8\/12 - 820\/582. Let m = r + b. What is the common denominator of 26\/3 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 256 + -260. Let q be (-7)\/(34\/n + 5). Solve -4*j + 24 = -4*g, 0 = 4*j - 2*j - q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5691081 or -5691082?\nAnswer: -5691082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 66 = v, 204 = -4489*v + 4493*v - 8*j for v.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 8 = 3*o + 4*f, -f - 19 = 4*o. Let l(p) = 74*p - 9. Let g(t) = 37*t - 4. Let h(a) = -7*g(a) + 3*l(a). Is h(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(640) + sqrt(640)*-2)*5 + (sqrt(640) - -6*-2*sqrt(640)))\/((sqrt(288)*-2 + sqrt(288))*6*1) + -5.\nAnswer: -5 + 16*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 411955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443562679?\nAnswer: 7, 63366097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -176101\/29907 - 2\/3323. Calculate the common denominator of h and 45\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -81 (c) -4 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 2*f - 7. Let r be z(2). Which is smaller: 1\/3 or r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6193 - 1636 - 2503 = 218*v - 2266 for v.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**8\/6720 - c**7\/720 + c**6\/360 - c**5\/60 - c**2. Let v(o) be the third derivative of g(o). Factor v(s).\nAnswer: (s - 2)*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.63751805 * -0.1\nAnswer: -0.163751805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106, -108, -118, -142, -186, -256, -358?\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 8*k**2 - 15*k + k**3 + 7*k + 10 + 15*k. Let y be u(-7). Let x be (-7580)\/(-190) - (-1 - (-51)\/57). Calculate the highest common factor of y and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1383 = -4*x + x. Suppose 98 + x = 3*q + 2*i, -565 = -3*q + 4*i. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 6*j + 3. Let m be l(5). Let v = 31.3 - 31. Let o = 5 - 3. What is the nearest to -1\/2 in v, o, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 88*t - 536. Let v(w) = -45*w + 271. Let s(f) = 9*v(f) + 4*x(f). What is the first derivative of s(z) wrt z?\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.3 + -2.6. Let o be ((-6)\/4)\/(13\/(-26)). Suppose -7*l = -4*l - 9, 0 = o*m - l + 9. What is the nearest to -1 in w, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -2.5. Let c = -159 - -165.3. Let o = c - 6. What is the biggest value in 5\/3, j, o?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-22) + (-456)\/88?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4786875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.0945917 rounded to three dps?\nAnswer: -30.095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 65298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 10:19 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o = 4*g - 12*o - 16, 5*o = 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 430310 and 148?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-541*q - 121*q + 14 + 7 - 21)*(-2*q**2 + 2*q**2 - q**2).\nAnswer: 662*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (48\/10)\/((-5)\/109375). What is j rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22.1 + 22. Sort 5, -9, n in descending order.\nAnswer: 5, n, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -556*b**2 - 1273*b**2 + 595*b**2.\nAnswer: -1234*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 626456016 by -6.\nAnswer: -104409336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -1\/4 (c) -3\/8 (d) 0.5 (e) -38 (f) -1 (g) 0.283\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24340.00010053 + -24340. What is t rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*w + 17*w = 7448. Calculate the greatest common divisor of w and 168.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 564.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -488 - -487. Let t(b) = -4*b + 38. Let r be t(s). Calculate the greatest common factor of 448 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t. Suppose -33 + 4 = -3*q + 4*g, g = -5*q + 10. Suppose 0 = 4*w - 3*w - 3. Let o(v) = -5*v + v + w*v + 5*v. What is q*h(a) + o(a)?\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*y - 8*y - 79*y - 1 + 11*y in the form x*y + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.98948 to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 372b20?\nAnswer: -372b24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3 + 5\/21\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**2 + 4*z - 2. Let g be c(3). Let w = -52 + g. List the prime factors of 65\/w*-3*1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**3 - 2 - 4 + 1 - 2*d + 0*d. Suppose 0 = 2*t - 5 - 1. Let h(x) = x**t - 2*x + 1 + x - 4. Calculate -5*h(y) + 3*n(y).\nAnswer: y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*y - 144 = 90 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 9:05 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 26628*v - 479253. What is d(18)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -20399?\nAnswer: 20399.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 4172053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/2 and -38\/2153?\nAnswer: 4306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 18*d - 14. Let k be 6*4\/72*(-102)\/2. Let j be g(k). Suppose -4*a - 4*r = -904, 0 = j*a - 3*r - 268 - 428. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**5 + 1834*k**4 + 165630*k**3 - 513442*k**2 + 7360*k + 684600 = 0 for k.\nAnswer: -815, -105, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.15976 + -0.03976. What is the second smallest value in -15, -0.5, k, 1, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**3 + 8259 + 28*f - 9*f**3 - 8259 - 28*f.\nAnswer: -14*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3*t - 19, -12 = 5*t - 2*p - 32. Let f(k) = 12 - t*k**3 + k**3 + 0*k**2 + 4*k - 9 + k**2. Calculate f(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 + 51. Suppose m*g = 13362 + 3084. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -915*z**3 - 3121*z**2 - 1132*z - 12 = 0.\nAnswer: -3, -2\/5, -2\/183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*w + 6 - 91 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -73\/7, -3\/7, -1, 1\/7 in descending order.\nAnswer: 8, 1\/7, -3\/7, -1, -73\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/40*-10*4\/(-94). Let g = -913\/94 - v. Find the common denominator of g and 6\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.1 (b) -15592\/9 (c) 1\/6 (d) -3 (e) 2\/9 (f) -0.4 (g) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + (-3)\/(-6))*0. Do v and 1\/11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -10*r + 13*r + j, 4*j - 4 = -2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -824 minus -8283749559.6?\nAnswer: 8283748735.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-8))\/(10\/120). Suppose 0 = -4*q + h + 41. Solve 14 = 5*o - q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(147) - (sqrt(147) + -1 + sqrt(147) + -4))*-1.\nAnswer: -14*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000010111 + -10?\nAnswer: 11000010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 5843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*sqrt(475)*2*4 + (sqrt(1216) + 4 - (3 + 2 + sqrt(19))))**2.\nAnswer: -254*sqrt(19) + 306454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96362.\nAnswer: 2, 7, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211 = 43*m - l, -108*l + 106*l + 33 = 5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 14*t - 2. Let b be v(1). Calculate the greatest common factor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, 4, 25\/7, 81?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9336\/(-7))\/(16\/(-224)).\nAnswer: 2, 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 20 = 4*h + 3*b, 4*b + 4 = 2*h. Suppose d = -h*d - 40. Let q(k) = -11*k**2 + 14. Let w = -652 + 649. Let p(c) = 4*c**2 - 5. What is d*p(u) + w*q(u)?\nAnswer: u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216\/(-810) + (-139)\/(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106, -174, -254, -352, -474?\nAnswer: -626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 3*o**5\/5 + 5*o**4\/4 - 7*o**3\/2 - 3*o**2 - 5*o. Factor m(s).\nAnswer: 3*(s - 1)*(s + 2)*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 5, -92, 0 in decreasing order.\nAnswer: 5, 0, -3, -5, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1093 - 695. Suppose -3*u = 4*v - p, -v + 482 = 4*v - 4*u. What is the highest common divisor of 14 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 8. Let s(l) = -l - 17. Let n(h) = 7*o(h) - 3*s(h). Let w be n(-8). Let r be 33\/(-2)*(-18)\/w. Solve 1 = -5*j + r, 0 = -5*v + 3*j - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/15, -9.9, 5\/3, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -16*i - 31. Let o be s(-7). What is the greatest common factor of 108 and o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -1063?\nAnswer: -2126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, g: 4, p: 1, z: 10, j: 1}. What is prob of picking 1 z, 1 j, and 1 s?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-71 - 115640\/(-1617))*4\/(24\/33)\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**2*q**2 + 18*n**2*q*x**2 + 3*n**2*q - 670*n*q**2*x**2 + 226*n*q**2 + n*x**2 + 6*n - 2*q*x wrt x?\nAnswer: 36*n**2*q - 1340*n*q**2 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -115004*u**3 + 23673*u**2 wrt u.\nAnswer: -690024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/4*220\/495. Let o = 1055 - 1057. Which is the closest to -5? (a) o (b) 4\/5 (c) s (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*((-22)\/(-8) + -2). Let v(r) = -2*r**2 + 10*r + 3. Let g(j) = -j**2 + 5*j + 2. Let l(o) = 5*g(o) - 2*v(o). Let t be l(5). Solve -b = t*c - 3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*55\/(-10)*-13. Let r = j - -36. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3802 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31 - 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3812 - 3809. Let b = 0.7 + -10.7. Put g, b, -1 in increasing order.\nAnswer: b, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w + 25. Let h(a) be the third derivative of -a**4\/24 + a**3 + 143*a**2 + 14*a. What is 18*h(q) - 4*j(q)?\nAnswer: -2*q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 8 = -33, 0 = 4*a + v + 13 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*u**3*x**4 - u**3*x**2 - 19*u**3 + 2*u**2 + 3*u - 300*x**3 + 2*x wrt x.\nAnswer: 24*u**3*x**2 - 2*u**3 - 1800*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27314? (a) 2 (b) -6 (c) 0.5 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -419 (base 13) to base 12\nAnswer: -4a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3168)\/792*(-90)\/(-24)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 - n - 3. What is j(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94627763 to the nearest integer?\nAnswer: 9728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 252*k - 1536*k + 33384 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133344.\nAnswer: 2, 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1\/7 (c) -5 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 6*z + 7. Let f be p(-7). What is the smallest common multiple of 16 and 0 - ((f - 19) + 3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 0 - (-19 + 8 + 12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**3 - 4*t. Let d(b) = b. Let r = -10 + 14. Determine r*d(v) + p(v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7008*m - 2 = 7006*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7307 != -7306?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 12:22 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/14? (a) -1 (b) -1.9 (c) 4\/3 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/53568 and 79\/25920?\nAnswer: 803520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*m + 11460, 2*m + 5*b = -651 + 5262. Suppose 2*f - 307 - m = 0. What is f rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*s**2 + 15*s**2 + 10*s**2 + 4*s**2 - 4*s**2 - 9*s**2 + (5*s + 0*s - 3*s)*(4*s - 7*s + 2*s) - 5*s**2 - 8 + 8 in the form i*s**2 + n + m*s and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/4)*z**(2\/3))**(-2\/79)\/((z\/z**0*z)**(-45\/7))**17 assuming z is positive.\nAnswer: z**(725059\/3318)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 11:14 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + d = 15. Suppose 2*b + 0*q + 5 = 3*q, 25 = d*b + 5*q. Suppose 2*s = 5*j - 36 + 6, 4*s + 12 = -b*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2336 = 9646*g - 9614*g. Calculate the remainder when 348 is divided by g.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4135*f - 860084. What is x(208)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*x + 512 - 167 - 171 - 174.\nAnswer: 51*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.028 + -0.372. Let m = 17.4 + -11.4. Which is the fourth biggest value? (a) 1 (b) m (c) x (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.71 + -0.709746. Round d to five decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 8*s = 32384. Suppose -s = -5*f + f + 5*b, 4*f - 3*b = 8104. Let o = f + -1200. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**2 + 3*u - 1. Is o(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/2052*(6*-4)\/4.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -193.7708 + 171.77. Let l = r + 22. What is l rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 65.493, -5, 4, -1?\nAnswer: 65.493","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 0*r - 40 + 3\/2*r**2. Let n(b) = -b**2 + b. Let s(q) = 8*q**2 - 12*q. Let d(p) = -12*n(p) - s(p). Calculate d(m(g)).\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 + 3*w**4 + 2*w**2 + (-29*w**2 + 87*w**2 + 99*w**2)*(2 + 0 - 4 - 2*w**2) as t*w**2 + u*w**4 + o + j*w + v*w**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 425*w**3 + w**2 + w - 1. Let p be a(-1). Let z = 481 + p. Calculate the smallest common multiple of 121 and z.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15433?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 8:35 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -1, -443, 791?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(336) + sqrt(336))\/sqrt(8))\/(2*sqrt(216)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x**2 - 2*x. Let w(o) = 6*o**2 + 3*o. Let m(c) = -9*q(c) - 4*w(c). Factor m(g).\nAnswer: 3*g*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 64*n + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 - -68.1. Round v to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -134.198 + 136. Round i to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 2227 = -5*s + 2100 - 4185, 2*w + 124 = s - 5*s for w.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 8329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -302*l + 307*l + 53, -12*l - 133 = -i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -8*h**2 - h. Let k be m(-1). Let i(z) be the first derivative of z**3\/3 - z**2\/2 - 9*z + 2. Is i(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 1 + 4245*y + 3 - 3988*y + 5 to o*y + g and give o.\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*c**3*d - 21*c**3 + 2*c**2*d**3 + 4 wrt d.\nAnswer: 23*c**3 + 6*c**2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 692611, 692486, 692361, 692236, 692111, 691986?\nAnswer: 691861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wj when two letters picked without replacement from {w: 5, l: 1, z: 1, j: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 10:09 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3857250.\nAnswer: 2, 3, 5, 37, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 19, -20, 0.2, -2\/11, 2\/3, -1\/4, 0.09?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ouhw when four letters picked without replacement from {o: 1, u: 2, i: 2, q: 6, h: 1, w: 5}?\nAnswer: 1\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 338, 349, 376, 419, 478, 553?\n\"Answer: 8*q**2 - 13*q + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1619770 is divided by 5683?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l - 1. Let r(z) = -z**2 + 2*z - 1. Let t be r(3). Let n(p) = p - 1. Let h(d) = 7*d - 6. Let m(o) = h(o) - 5*n(o). Calculate t*m(q) + 3*u(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76\/7*a - 4\/7*a**2 + 80\/7 = 0.\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.325 + -2.2398678\nAnswer: -0.9148678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 10:59 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -291, -428, -655, -972?\n\"Answer: -45*o**2 - 2*o - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/7 less than 1\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 118*h + 1344. Determine b(-14).\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 1\/5, 3\/8, -8\/3, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*2\/(-2)*-2. Let u(d) = -1157*d - 29*d - 458*d - 11 + 139*d. Is u(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + 15. Suppose -y = -3*y + t. Suppose 0 = -5*j + 3*c - c + 5, 5*j + 2*c = y. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 754081 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/2453 + 968941\/14718. Which is greater: 65 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 6*o**2 - 5*o + 2*o**3 + 0 - 1\/12*o**4. Does 6 divide q(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a - 1. Let l be h(1). Let y(u) = 3*u - l - 1 - 1 + 5 + u**2. Give y(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/2)\/((-12)\/16). Suppose -f = j - 2*j - 2*o, -8 = 3*j - o. Is (-26)\/4*(j - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6714*o - 6718*o - 2*h = -22, 6 = -2*h for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 8) to base 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 9*n**2 - 10*n + 13. Let o(a) = -a**3 + 8*a**2 + 10. Let l be o(8). Is d(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*r + 25, -g + 55 = 3*r + 2*r. Let z(w) = -2*w + 23. Let h be z(-8). Let f = h - 35. Solve -4*u + 20 = -7*u - f*a, -4*u + 2*a = -r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/342)\/((-5)\/30)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-8)\/32*14*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -118 - -121. List the prime factors of 82\/2 + (c - 9).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*s + 4*s + 8 = 0, 0 = -2*r - 3*s - 13. Let i(p) be the second derivative of -p**4\/12 + p**3\/3 + 3*p**2\/2 - 2*p. Calculate i(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3395 - 0.1809. Let f = 0.0331 - b. Round f to two dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 8:41 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3198 + -3195. Solve i - 4 = -b*d, 3*d = 3*i - 2*d + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*y - 901 = 35 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3467 - 7441 = -9*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-126)\/(-105))\/(4\/870)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -333 - 192*r**2 - 355*r**2 - 101 with respect to r.\nAnswer: -1094*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/7 (b) -6052.3 (c) -4 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**2 + 0*l**4 + 0*l + 0 + 0*l**5 + 0*l**3 - 1\/168*l**7 + 1\/448*l**8 + 1\/240*l**6. Factor r(c).\nAnswer: c**3*(c - 1)*(3*c - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.495788 centimeters in kilometers?\nAnswer: 0.00009495788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6366739 is divided by 55?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -345 - -3332535?\nAnswer: 3332170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61819*n + 1026 = 61876*n for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -243, 4, -1, 152, 18, 1 in decreasing order.\nAnswer: 152, 18, 4, 1, -1, -5, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81683 is divided by 81657?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 770 divided by 154.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h + d - 2811, 2*d + 5622 = 2*h. Suppose 0*u = 3*u - h. Suppose u = 2*p + 119. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301011 + 301?\nAnswer: 301312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2\/9, 3, -0.4 in ascending order.\nAnswer: -0.4, 2\/9, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b**3*l**2 + b**3 + 6*b**2 + 2271*b*l**4 + 107 with respect to l.\nAnswer: 6*b**3*l + 9084*b*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240 divided by 2.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 66742.\nAnswer: 2\/33371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(336)\/sqrt(28))\/((sqrt(80)\/sqrt(4))\/sqrt(5)) + 0)**2.\nAnswer: -8*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**2. Suppose -f + 2 = -2*r - r, 5*f = 25. Let j = -1 + r. Let c(a) = 0*a**2 + a**2 + j*a**2. Determine s(c(l)).\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3915458 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 139 - 129. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 327065?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -70384b (base 13) to base 2.\nAnswer: -1001111100011111010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-414)*10*(-12)\/10.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13050459 divided by 1\nAnswer: -13050459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - p**2 - 2*p - 24. What is g(0)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -4*m + 0 + 1\/3*m**3 + m**2. Find the first derivative of x(b) wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + g = 48, -g = -3*z + 2*g + 72. Let j be (1\/3)\/(4\/z). Let q be (-1 + 2 - j)\/1. Which is bigger: q or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/(t**(1\/28)\/t)*t)\/t*t\/((t\/t**(13\/6))\/t))**17)**(2\/101) assuming t is positive.\nAnswer: t**(8755\/4242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.15 - 19.85. Let l = 202991277 - 202991297.0000293. Let a = l - f. What is a rounded to six decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -298752.14 take away 0.96296?\nAnswer: -298753.10296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 117 = -3*x. Let p = -21 - x. What is the remainder when (100 - -2)\/2*1 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -53*d + 51*d + 7 + 0. Let h(q) = q + 1. Let g(j) = -4*j + 1. Let n(w) = g(w) + 3*h(w). What is -5*n(t) + 3*p(t)?\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16664 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 + 1)*(-4*a**2 + 3*a**2 + 2*a**2)*(-9 + 4 - 4) in the form p + w*a + j*a**2 and give j.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212 = -2*k - 228 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, 1, 4 in ascending order.\nAnswer: -10, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20823 is divided by 1498.\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1810*v + 79975 = 23865 for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 3*b + 1, 2*p - b = -p + 9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 504 = -6*o. Suppose -3*x - 6*v = -3*v - o, 5*v + 70 = 2*x. Suppose 2*s = s + x. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-8 + 1 + -3 + 1 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30450 = 17*n - 11*n. Let g = 76168\/15 - n. Find the common denominator of 18\/7 and g.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/2152 or 1?\nAnswer: 11\/2152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.8 - 1.779. What is v rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/37 in -0.7, 4, -7, 17?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1008 and 530376.\nAnswer: 3182256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 0 + 1\/15*s**5 + 1\/3*s**4 + 15*s + 5*s**2 + 0*s**3. Let w(g) be the first derivative of f(g). Determine p so that w(p) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 8*z**2 + 10*z + 12. What is the units digit of q(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u - 6*u + 3 - 37776*u**4 + u**3 - 4*u**2 + 7 + 37778*u**4 as s*u**4 + l*u + d*u**2 + m*u**3 + o and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/4*-3 - -7. Let k be (30\/(-40))\/(l\/4) + 6. Solve 4*p - 4*i + 6 = -7*i, 0 = -k*i - 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 25*q - 69. What is the remainder when x(-29) is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x - 5. Determine m(11).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 2, w: 2, e: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -42, -257, -842, -1983, -3866, -6677?\n\"Answer: -31*n**3 + n**2 - n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/4)\/d**(6\/17))**21)**(1\/84) assuming d is positive.\nAnswer: d**(-7\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 196 or -1021?\nAnswer: -1021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - v + 1. Let h(d) = -342*d**3 - 5*d**2 - 12*d - 4. Let u(y) = h(y) - 3*j(y). Is u(-1) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -78 + 81. Let z(s) = 37*s**3 - 21*s**c + 11*s**2 - 11 + s - 17*s**3. Let h be z(11). Solve h = -2*p + 2 + 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -232303 (base 4) in base 12?\nAnswer: -1897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.54438 months to years.\nAnswer: 0.545365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.6 + -4.3. Let a = 6.7 - 7.4. Let t = a - x. What is the third smallest value in -1\/2, t, -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -2*y + 7\/6*y**3 - 3*y**2 - 10. Let t(r) be the first derivative of q(r). What is the first derivative of t(x) wrt x?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**7\/840 - o**6\/72 - o**5\/24 + o**4\/6 + o**3\/6 - o. Let b(c) be the second derivative of i(c). Is b(6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + 0.03. Let m = -0.07 - n. Let u = 32 - 29. Which is the second smallest value? (a) 5 (b) 2 (c) m (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 154 + -166.05. Let z = 12.3 + q. What is the smallest value in -2, z, 1\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 46251743 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 183391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37413353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**(-2\/7)\/y*y))\/y)**(-16\/3))**(-44\/3) assuming y is positive.\nAnswer: y**(1408\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -f - 499, -4*f - 689 = -3*s + 1279. Is f <= -499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/(-15) - (-2)\/3. Which is smaller: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1684 + -675. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2171 = 3*r - 3*c, 0 = 3*r - 5*c - 2183. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 27*r + 10. Let u(j) = j**3 + 7*j**2 - 7*j - 28. Let a be u(-7). What is the hundreds digit of v(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**3 - 53*d**2 - 18*d + 6. Let k be o(18). Suppose -22 = -2*l - 3*h, 5*l - 4*h - 21 = -3*h. Does k = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 755172 times -7\nAnswer: -5286204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3 = -19. Suppose 5*j - 355*k + 352*k - 33 = 0, 3*j - 20 = 2*k. Calculate the smallest common multiple of j and w.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*l + 34*l - 14 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(-4 + 3 + 5)*(-4 + 4 - 7*s)*(-4 - 1 + 3).\nAnswer: -112*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1097 is divided by 605.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, k: 2}. What is prob of picking 2 k?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3748407 divided by -30.\nAnswer: 1249469\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3688372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 350696 divided by 256\nAnswer: 43837\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3143224 - 0?\nAnswer: 3143224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 + -2441.8?\nAnswer: -2070.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49142602 + -27127230. Let i = t + -22015479.000087. Let x = -107 - i. Round x to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(sqrt(5) + 2*sqrt(5) + sqrt(5)) + -3 + -1 + -3.\nAnswer: -7 + sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 37*v = 32*v + 30, -30 = -t + 2*v. What is the smallest common multiple of t and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -14. Suppose -h*c - 68 = -p, 2*p + 4 - 52 = 2*c. Is c greater than or equal to -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 30*w**2 - 3*w + 3. Let a(k) = -60*k**2 + 5*k - 5. Give -3*a(p) - 5*u(p).\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5770 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 387 - 367.9. Let r = x + -14. Let y = r + -1.1. What is the biggest value in 1, y, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -13*x**3\/6 - 20123*x**2\/6 + 85525*x + 511200 = 0.\nAnswer: -20448\/13, -5, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n + 32. Let k(b) = -b**3 - 10*b**2 - 9*b - 13. Let a be k(-9). Is z(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 4*a**2 - 2*a + 5. What are the prime factors of p(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -140*k + 4614. Suppose 20 = 3*s - 5*i, -4*s + 46 = 2*i + i. Calculate the least common multiple of s and b(32).\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 33*i - 41. Let q be v(31). Let k(n) = n**2 - 11*n - 210. Let a be k(q). Let l(m) = 6*m**2 - m. Let o be l(1). Solve o*p - 4 + 29 = a for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 x when two letters picked without replacement from {x: 1, a: 2, v: 7, w: 1, n: 7}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252663210 is divided by 2209?\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 344 - 329. Suppose 9865 = -c*d + 20*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17780798803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 49*z**6\/6 - z**5\/5 - z**4\/4 - 1105*z**2 + 1264. What is the second derivative of b(a) wrt a?\nAnswer: 980*a**3 - 12*a**2 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n - 2*n = -2*y + y + 2, -n + 51*y = 48*y - 23 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**6\/10 - 15*j**2\/2 - 45*j. What is the first derivative of u(t) wrt t?\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16271?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 17598?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -317920.84000001 - -317920.69. Let p = -8 - -8.15. Let u = j + p. What is u rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.227131 days to seconds.\nAnswer: 365224.1184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 60 - 60. Let a = f + 115. List the prime factors of a.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -4*x**5 + 6356*x**4 - 2157268*x**3 + 211706284*x**2 - 397778888*x - 1659742880 = 0.\nAnswer: -2, 4, 211, 1165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4 - 0. Let p = 3 - 1. Let u be (p - (-2)\/(-1))*1. Solve -l - j*l = u for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -1\/11, -0.1097, 63 in ascending order.\nAnswer: -1\/7, -0.1097, -1\/11, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9e (base 16) to base 8.\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y - 3. Let o be g(3). Calculate the smallest common multiple of 1000\/45 + 4\/o and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**3 - q**2 + 2*q - 4. Give k(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 527830 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*m = 23160, -5*j - 2*m + 2929 = -26030. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 times 60\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 382.8364 grams?\nAnswer: 382836400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**3 - 7*l**2 + 5*l - 4. Let d be f(5). Suppose 6*v - 8*v = -d. Calculate the highest common factor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssmsmmmss. Give prob of picking 1 s and 1 m.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.29 + 9.099631.\nAnswer: 11.389631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*((-46)\/(-2) - 0). Suppose -a = -4*s - s - 3*n, -2*n + 14 = 3*s. Suppose 4*o + 3 = p, -5*o - 27 = -s*p - 4*o. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -3*o + 67, 4*h - 3*o - o - 60 = 0. Suppose 0 = -5*b - h - 111. What is b rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 513415 or -3?\nAnswer: 513415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a (base 16) to base 9.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 + -119\/3. Put 0, b, -4\/5 in decreasing order.\nAnswer: b, 0, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -195 - -196. Let q(a) = -20*a - 1. Calculate q(w).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -14 + 8 - 15) + 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**3 - 354*h**2 - 3*h - 1319. Let w be d(-118). Sort -8, -2, w in ascending order.\nAnswer: w, -8, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437821 is divided by 86.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 107274 and 83904.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 9*l**4 - 9*l**3 + 3*l. Let n(x) = -x**3 + x**2 - x. Suppose -14*o + 9*o - 5 = 0. Let c(z) = o*i(z) - 3*n(z). What is s in c(s) = 0?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 0 - 1 - 4 - 2*y - 1. Let x(f) = 2 + 2 - 5. What is l(p) - 5*x(p)?\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*u - 16*u - 27. Let q = -16 + u. Let o be 5\/q + 8002\/10. What is o rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 654331.3ng in grams?\nAnswer: 0.0006543313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4333 and -55.625.\nAnswer: 241023.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 12\/(-4))\/(-1). Sort -4, 0, y in descending order.\nAnswer: y, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 8*h. Let z(d) = 12*d**2. What is y(z(k))?\nAnswer: 96*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -10, 30, -18, 5 in increasing order.\nAnswer: -18, -10, -4, -3, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a + 4*a + 0*a + 3*a + 3 - 12*a**2.\nAnswer: -3*(a - 1)*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1*16\/(-4))\/(-2). Suppose 0 = -r*h - 5*f + 14, -3*h - 2*f - 6 = -8*h. What is the highest common divisor of 34 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -638576*t**3 - 18*t**2 - 93767619*t wrt t?\nAnswer: -3831456*t - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -2\/3, -110, -4?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34499 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/30798 and 113\/10.\nAnswer: 153990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*g = l + 37, -3*g - 4*l = -4. Suppose i = 12 + g. What is the units digit of 6\/10 + 8\/i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o + 47. Determine a(12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**2 + 2*l + 1. Let u = -580 + 622. Suppose -5*h - 37*h - u = 0. What is o(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**4\/9 + 250*k**3\/9 - 88*k**2\/3 - 168*k = 0.\nAnswer: -126, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b - 4*b - b)*(-5*b**2 - 2*b**2 + 2*b**2) + 0*b + 0*b - b**3.\nAnswer: 49*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 + 33 - 6) + -22 + 2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -64*q**2 + 107*q + 10. Let y(n) = 160*n**2 - 268*n - 24. Let d(t) = -12*k(t) - 5*y(t). Find the second derivative of d(o) wrt o.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + 40 - 34 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -255 (base 15) in base 14?\nAnswer: -29c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-5))\/((-2)\/238). Let l be (-21)\/(-35) + 234\/10. Let s = l - o. Which is bigger: 2\/13 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixteenth of a century?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.524 (b) 0.3 (c) 87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 7094*w**3 - 14188*w**3 + 1 - 26*w + 7084*w**3 in the form g*w**3 + t*w + b*w**2 + u and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 11:44 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 77 + -4?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 79300 and 3016?\nAnswer: 4599400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 3*v - 6*v + 21, 0 = 5*v - i - 13 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**4 - 58*a**3 + 779*a**2.\nAnswer: 24*a - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - ((-2 - 28 - -10) + 2).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1363.91597 to 1 decimal place.\nAnswer: 1363.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -992*d**3\/3 + 655*d**2\/2 - 488*d. Find the first derivative of a(h) wrt h.\nAnswer: -1984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -12, 2, 22, 48, 80?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1368969*r**2 + 6809395*r.\nAnswer: -2737938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 372.4049 millilitres in litres?\nAnswer: 0.3724049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3 - (7 + -3 + -5)) + -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110001110010111001 (base 2) in base 12?\nAnswer: 1a58a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 284982804 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 24. Let l be f(-11). Let m(r) = -l*r**2 + 31*r**2 - 16*r**2. Let g(x) = 39*x. Calculate g(m(c)).\nAnswer: 78*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 14. Let s be t(6). Let u be ((-222)\/(-80))\/(2\/s). Let z = 23\/2 - u. Which is greater: -2\/3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 81\/15 + (-2)\/5. Solve -k*j - 9 = 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1087.82776 - -1088. Let p = g + 0.0777. Let b = p + -0.25. Round b to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-112)\/(-72))\/(-2)*(-50)\/(-25).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 0 + 0*w**3 + 7\/24*w**4 + 4*w**2 + 0*w. Let l(f) be the third derivative of -f**4\/4 + f**2. Calculate 4*b(i) + 5*l(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 11:07 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -26426 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.92 + -0.66. Let b = u + -59.56. Round b to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4094*c**3 - 3628*c**3 + 7811*c**3.\nAnswer: 89*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 548878 and 34038.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -15088*q + 45424. Calculate i(3).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxduddu. Give prob of picking 2 d.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 3:22 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(9\/5)*t*t*(t**(-1\/24)*t)\/t)**(-30)*(((t*t**(-10)\/t)\/t)\/t**(2\/11))**(-9) assuming t is positive.\nAnswer: t**(-533\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*u + 36*u - 10 = 0, 5*v + 4*u = 70. What is the highest common divisor of 1152 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 21 = -2*d, 5*p + 3*d + 9 = 2*p. Let q(g) = -1. Let j(r) = 2*r**2 + 3*r + 1. Let w(u) = j(u) + 5*q(u). Is 19 a factor of w(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/6 and (106\/(-12) + 0)*(-6)\/(-27).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-72)\/(-15)*30\/24. Suppose m*a = 16317 + 27729. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33422 divided by -16711.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/(-396))\/(((-156)\/(-858))\/((-16)\/(-11)))?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03363 to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*y + 6*y. Let a(q) = -2*q - 1 - 2 - q. What is a(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 + 117*l**2 - 953*l**2 + 492*l**2 - l**3 + (14*l + 10*l + 14*l)*(3*l**2 + 2*l**2 - 4*l**2) as m*l + c*l**3 + r*l**2 + a and give r.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*j + 5. Let n be j*2 + 2 - 0. Which is the third smallest value? (a) 0.1 (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -4*h. Let n be (-2)\/7 - ((-2494)\/14)\/(-1). Let r = n - -178. Which is smaller: h or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqu when three letters picked without replacement from zzpdxuqp.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 - 52.27. Let j = h - -0.3. Let n = j - 1.53. Round n to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, 5, 94, 0.002, 3?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (228\/(-8))\/(-57)*-8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 463\/5 - 93. Which is the nearest to -0.01? (a) r (b) 0.4 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-6)\/l*l)\/l*l**(-13))**(-19))**(3\/35) assuming l is positive.\nAnswer: l**(1083\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -448a6 + 2?\nAnswer: -448a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, j: 1, w: 7, o: 1, i: 4, v: 5}. What is prob of sequence iv?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 v when two letters picked without replacement from vtvv?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57 + 63. Which is the closest to 2\/5? (a) 5 (b) 0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -32 (b) -5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1044033 + 10?\nAnswer: -1044023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 - -53. Let p = -26.5 - -27. Which is the smallest value? (a) r (b) -2\/29 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52734\/188)\/(-187)*1\/(-7)*2.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-19 + 5)\/(-1*1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57496 - -43968?\nAnswer: -13528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 1. Let b(k) = 5*k - 3. Let h be b(2). Let l = u + h. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v**3 + 2*v**2 + 2*v + 2. Let j(x) = 21*x**3 - 9*x**2 - 7*x - 9. Let r(g) = -2*j(g) - 9*l(g). Find the second derivative of r(i) wrt i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -29 + 3*s + 10 + 19. Give g(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 7 + 8*f + 0 to the form s + a*f and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 775 - -467. Does 46 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1017 and 34812.\nAnswer: 3933756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 605307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.94548 to one decimal place.\nAnswer: 8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-36)\/5)\/((-11)\/(275\/10)). Suppose 5*g - 90 = -0*y - y, -g = y - b. What is the remainder when 33 is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -11103011031?\nAnswer: -11103011020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 454, 440, 408, 352, 266, 144, -20?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -11000100001?\nAnswer: 11000100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11869607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by 452?\nAnswer: 49\/452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g**2 - 60*g. Let t(f) = -64*f. What is t(h(d))?\nAnswer: -384*d**2 + 3840*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30488 = -65*c - 2408. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.033, 0, 0.2, 147, -2\/9 in decreasing order.\nAnswer: 147, 0.2, 0, -0.033, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70 - 67. Let i = -137.2 - o. Let j = 2 + -2.5. Which is the second biggest value? (a) i (b) j (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, s: 2, l: 1, m: 1, y: 2}. Give prob of picking 2 y and 1 s.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 45.5, 6.4, -5, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*f - 793 = 0, f - 155 = -y + 5*f. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/1484 and -169\/2226?\nAnswer: 4452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(5\/6)\/o**(3\/7)*o\/o**(1\/6)*o*o\/(o*o\/(o**(4\/3)\/o)))**(-17) assuming o is positive.\nAnswer: o**(-187\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -4 + 5 - (-9 - (-20 - -8)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 1. Let w(a) = 13*a**2 + 3*a - 3. Let v(s) = 12*s**2 + 3*s - 3. Let i(o) = -6*v(o) + 5*w(o). Determine 3*c(p) - i(p).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 293*l**3 + 468*l**3 + 1636*l**3 - l**2.\nAnswer: 2397*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from rmx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 2290275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(208)*-1)**2 + sqrt(13))*-5.\nAnswer: 25*sqrt(13) + 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**2 + a**2 + 0*a**2 - 2*a**2. Let w(y) = -12*y**2. Determine l(w(d)).\nAnswer: 288*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8420, 68819, 233186, 553505, 1081760, 1869935?\n\"Answer: 8664*a**3 - 249*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 4 = -2*p + 14*q - 37, -2 - 2 = -q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 715 divide 5280990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*i - 355*i - 39432 = 2326*i + 455*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-2))\/((y**(-1)*y)\/y))\/(y**(1\/3)\/y)**(6\/11) assuming y is positive.\nAnswer: y**(15\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -35750 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhheaaae. Give prob of picking 1 a, 1 e, and 1 h.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.99 + -1. Let i = j + -1.99. Suppose 0 = 2*w - p + 3, 4*w = -p + 5*p - 16. What is the nearest to -1 in i, -0.4, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 270034, 540065, 810098, 1080133, 1350170?\nAnswer: 1620209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 - -25. Let l = 37 + m. Suppose 5*y + l = -s + 3*y, -5*y - 5 = 0. Are -15 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(30))\/sqrt(6) + sqrt(5))*4 - ((-2*sqrt(180))**2 + (sqrt(5) - sqrt(35)\/(sqrt(28)\/sqrt(4)) - sqrt(5))).\nAnswer: -720 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) 0.4 (c) 1.1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26118971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484366 a multiple of 722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -471*i**2*w*y - 4*i**2 + 105021*i*w*y**3 - 35583857*y**3 - 3*y**2 wrt w?\nAnswer: -471*i**2*y + 105021*i*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*t + s, 20 + 15 = 5*t + 5*s. Let b(a) = -2*a + 6*a - 11 + 8. Let o be b(t). Do o and 23 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2001 + -2?\nAnswer: -2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 5*q + 10, 3*q = 3*u - 4*u - 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 123\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -13*x - 74 + 62 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -181303, -181289, -181265, -181231, -181187?\n\"Answer: 5*v**2 - v - 181307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1792) - sqrt(1792)*-2)\/(sqrt(4) - sqrt(16)*-1))**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62062329 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2739 and 1245?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzs. Give prob of picking 1 z and 1 u.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -1507*a**2 - 10*a + 1107. Let l(w) = 1505*w**2 + 12*w - 1111. Let v(x) = -6*j(x) - 5*l(x). Differentiate v(t) with respect to t.\nAnswer: 3034*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 62 = -46*y + 41*y, 68 = -4*y - 3*v. Let u(a) = -4 - a**2 - 9 + 8*a - 23*a. Calculate u(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5103 is divided by 45?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(612))*1 + 5)**2 + (((sqrt(136) + (-1*sqrt(136) - sqrt(136)) + sqrt(136) + sqrt(136))\/sqrt(8))**2 - (2*sqrt(17))**2*1).\nAnswer: 24*sqrt(17) + 565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39283 - -39366. Suppose -3*u + 34 = -u. What is the remainder when v is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2310, -2319, -2334, -2355, -2382, -2415?\nAnswer: -2454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(117)\/sqrt(9) + sqrt(13) + sqrt(13))**2 + sqrt(13) + sqrt(13))*-4.\nAnswer: -473 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27.2701 - 23.288. Let h = p - 0.0921. Let g = 0.11 + h. Which is the second smallest value? (a) -1 (b) 0.6 (c) g (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((0 - (1 + 2)) + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352562495 is divided by 88.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b + 7*b - 16*b + 3 - 3*b + b.\nAnswer: -7*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45731560 to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25312 and 183904?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16495169771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**7\/280 - r**6\/120 + r**5\/40 + 4*r**4\/3 - 19*r. Let g(k) be the third derivative of t(k). What is the units digit of g(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(9 + 3) - 8\/14. Does y = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23.3 times 2\nAnswer: 46.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-12) - 0)*(-6 - -3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 i when four letters picked without replacement from aieseiaiae?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 47066334 (base 8) in base 10?\nAnswer: 10251484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 578470 + -578469.9499899. Let c = 0.05 + 0. Let n = y - c. Round n to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 9 + 69 = 0. Let s(q) = 3*q**3 - 3*q**2 + q + 5. Let i be s(3). Let t = i - o. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 14. Let n = 4 - 2. Let o be n\/8 - (-358)\/8. What is the highest common divisor of g and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 16. Is (n\/(-2))\/(4\/(-40)) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -113 and -117 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k - 3*k**4 + 4*k + (-7*k**2 - 5*k**2 - 15*k**2)*(-8*k**2 + 41 - 41) as j + l*k**2 + i*k**4 + f*k + r*k**3 and give i.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1872) + -2 + (sqrt(1872) - sqrt(1872)*1)*-5)**2.\nAnswer: -96*sqrt(13) + 1888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -5 (c) -0.014\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 3*x**7\/14 + x**3 + 6*x - 7. Let g(q) be the first derivative of v(q). What is the second derivative of g(p) wrt p?\nAnswer: 180*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72.7 + -102.8. Let j = 30.09436 + i. Round j to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39\/5*(82290\/234)\/211\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 8. Let l be p(-1). What are the prime factors of 109 - (7 - (l + -2))?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00136212297 to seven decimal places.\nAnswer: 0.0013621","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, z: 2, n: 1, g: 5, s: 4}. What is prob of picking 1 n and 1 p?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -35 - 3*q**2 + 3*q**3 - 388952*q + 388952*q as p*q + r*q**2 + g*q**3 + a and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11180 - 0?\nAnswer: 11180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j**2 - 6*j - 8. Let r be n(8). Let s = -382 - r. Calculate the smallest common multiple of 8 and s.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**5*h - 2*f**4*h + 45*f**4 - 15*f**2*h - 38*f**2 - 2*h wrt f?\nAnswer: -60*f**2*h - 48*f*h + 1080*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/9, 1\/3, -88107, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.362 and -322553.6.\nAnswer: -322553.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -8 - ((-8 - -21 - 20) + -25).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z + 31*z + 134 = 78*z. Let s(n) = -30*n + 5. Give s(z).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 3*c - 3*l, 2*c + 3*l + 3 = -0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 543.2808 microseconds?\nAnswer: 0.5432808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 205481 = 59*f - 37177. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 1)*(3*t**3 + 3*t**3 - 3*t**3) + (-5 + 3 + 4)*(0*t**2 + t**2 + 0*t**2)*(61*t + 3546 - 3546).\nAnswer: 131*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 643 divide 3730856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0952 - -0.0952411. What is y rounded to 6 dps?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 3*k + 1. Suppose 27 - 2 = 5*y. Suppose 4*h = y*l + h, h = -2*l - 11. Let v be l\/6 - (-9)\/2. What is s(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 74785686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/280*20*-3*(-2)\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7733048.\nAnswer: 2, 966631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1248927 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*d - 178, 53*d - 5*x - 97 = 52*d. Calculate the highest common divisor of d and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from zwozwwozwowwwwwwwwoz.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5621*d**2*g**4 - 2*d**2*g + d*g**3 + 2*d*g**2 - 96578*d*g - 5*g**4 wrt g?\nAnswer: 134904*d**2*g + 6*d - 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/14 + (-90)\/(-21). Solve -o - o**3 + 0*o**3 + j*o**3 - 2*o = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -138 + 275. Suppose -t = -3*v - 20. Let q = v + 15. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-8) - 1\/(-2). Let i be (-12)\/(-78)*m\/(-62). Let p = 1249\/8060 + i. Find the common denominator of 95\/22 and p.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 - 29. Suppose 0 = -b*l + 5*l + 162. Suppose 5*v - 147 - l = 0. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24135 - 14779. List the prime factors of x.\nAnswer: 2, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2286 is divided by 786.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/43 and 1\/4259824?\nAnswer: 183172432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + j - 8. Calculate a(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 11*u - 9. Let a be t(-9). Suppose -a*g = -4*g - 15. Find the second derivative of 5*h**g + 0*h - 3*h**3 + 3*h**3 + 2*h wrt h.\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 2*q**2 + 4*q - 3. Let f be t(3). Suppose -x + 5*x = f. Suppose 0 = -x*r + 3*r - 42. Calculate the least common multiple of 34 and r.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*(k\/k**(-1\/3)*k*k)\/k*k*k*k**(-2\/19)*k*(k**(-5\/4)\/k)\/k**(-5\/2) assuming k is positive.\nAnswer: k**(1477\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-361)\/(-38) - (-2)\/4. Let x(n) = -n - 3. Let t be x(-5). Suppose 2*f - 2 - t = 0. Solve g - d - 2*d = -v, -f = 2*g + 3*d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -457 (b) 2\/11 (c) -4\/3 (d) 20\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 52.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*a - 157*a**5 - 2 + a - 26*a**5 - 89*a**5 wrt a.\nAnswer: -5440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 868072322?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(3\/4)*j)**(-27) assuming j is positive.\nAnswer: j**(-135\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(15\/(-6)) + 6. Let t be -1 - (-2 - -1)*8. Suppose -8*z = -t*z. Solve 2*a + z = -l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14057524*i**3 + 19950134*i**2?\nAnswer: 84345144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281 + 393 = -56*f - 896 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -9*q + 15. What is h(6)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = 5*k + 2*o, -436*o = k - 432*o + 13 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 688*c - 1105*c = 3753 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**2\/2 + 21*m\/2 + 18 = 0 for m.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -288.5864749 rounded to the nearest integer?\nAnswer: -289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 10, -5, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21736 + -18287. Solve 9*j = -q + 3512 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 373199.34 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 5)*(-3 - b + 3) + 67*b - 46*b + 19*b - 239*b + 21505 - 21505 as n + c*b and give c.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -68 + 41 + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77418 by 3366.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 174117496 a multiple of 698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7633980 is divided by 509?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2724069183 take away 0.771?\nAnswer: -1.0434069183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30976 is divided by 385?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 650, 19.01, -12\/13 in increasing order.\nAnswer: -12\/13, 19.01, 650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 576731 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -7*m - 17. Let y be n(-15). Suppose -k - y + 223 = 0. What is the highest common divisor of 54 and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -324, -592, -860?\nAnswer: -1128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1932 = -8*v + 146*v for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 160 = 10*u. Suppose 3*p - d - 56 = 0, 2*d + u + 30 = 2*p. What is the least common multiple of p and 48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**3\/6 + 6*g**2 + 8*g. Let x be c(7). Suppose x*k - 6*k + 6 = 0. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -342 - -399. Suppose 62*k - r*k - 1680 = 0. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227559?\nAnswer: 3, 75853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-234)\/52)\/((-2)\/(-8)). What is the smallest common multiple of 7 and 75\/18*5 + (-3)\/j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 - 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -8*z - 4. Let g = -4 + 6. Calculate the remainder when f(-4) is divided by g*(1 - (-26)\/4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8514 by -6.\nAnswer: 1419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (438\/5)\/((-726)\/165) + (-3)\/33?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = j - 8 - 8, 4*j = -3*y + 30. Let s(u) = -u**3 + 5*u**2 + 8*u - 9. Give s(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwdd when four letters picked without replacement from {d: 2, e: 1, w: 7}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 26*o - 151. Give j(14).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u - 3. Let h be q(-1). Let s = h - -17. Suppose 0 = 2*j + 1 - s. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -42*y**2 + 26*y**2 - 8*y + 10*y**2 + 13*y**2 + 321 wrt y?\nAnswer: 14*y - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.087069 and -4?\nAnswer: 0.348276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7014511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 2*l - 2. Let h(g) = -230*g**2 + 8*g + 9. What is h(r) + 4*k(r)?\nAnswer: -234*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -71 and 0.4.\nAnswer: -28.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/(-54)*5853)\/((-1)\/(-10)). Let g = 17658 - m. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q = 1225448 - 315728. What is q rounded to the nearest one thousand?\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 202147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14649221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 2 - 25 - 6*o - 2. Let b(y) = -2*y - 1. Let w(x) = 4*b(x) - m(x). Calculate w(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1235\/38*2\/10*(-5)\/(130\/(-16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57 - 37) + (9 - 11).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, -1, 1, -562?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0036628 rounded to 4 dps?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - -1. Let w = -81 - -83. Suppose -3*g + s = 4*q, -q - g = -1 - w. What is the nearest to -1 in -5, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -2 (c) 17 (d) -2.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2607773, -2607770, -2607767, -2607764, -2607761, -2607758?\nAnswer: -2607755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/3 - 5*c**3\/9 + 2*c**2\/9.\nAnswer: c**2*(c - 1)*(3*c - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 7*r + 22. Let l be b(9). Suppose -l*y = 4*i - 12, 4*i - 3*i + 5*y = 15. Solve s + 9 = -3*n, i*n + 5*s = 3*n + 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 41, 52, 77, 122, 193, 296?\n\"Answer: r**3 + r**2 + r + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - g + 34 = 2*p, -5*g + 38 = 3*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -56*z + 15*z + 225036. Is z a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2 - 47*p + 78. Let i be j(-25). Solve -2*n + 6*n + i*o = 12, -o = -2*n - 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30530 - -433513?\nAnswer: 464243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41 or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 1. What is the least common multiple of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 45 - 3287?\nAnswer: -3242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 7:57 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 s when three letters picked without replacement from {e: 1, c: 6, w: 1, s: 5, t: 2}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 625544877?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1014?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-7)\/28 + 2 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31589?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g**3 - g**3 - 9*g + 0*g**3)*(-8*g + g - 12*g) as a + f*g + t*g**4 + z*g**3 + x*g**2 and give t.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -3*v - 1\/3*v**3 + 0 + 0*v**2. Let p(k) be the third derivative of k**4\/12 + k**2. Give p(o(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63816*z**2 + 63536*z**2 + 6*z + 3 - 3*z to l*z**2 + d + u*z and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1974 is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6\/5 - 44\/45. Let y = 0.41 + 18.59. Which is the nearest to 1\/4? (a) n (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 22, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.3? (a) 2 (b) 3 (c) -0.1 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 30*p**2. Let h(d) = -1 + 4 - 3 - 2*d**2. Give f(h(t)).\nAnswer: 120*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (16 - -100) + -415 + 243\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1435977 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.69 - 1.6899834. What is u rounded to 6 decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z - 5*z + 3*z)*(3 - z + z - 2*z) to u + h*z**2 + t*z and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17728, -70891, -159502, -283561, -443068, -638023, -868426?\n\"Answer: -17724*s**2 + 9*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**3 + 35344*l**2 - 15*l - 400 wrt l?\nAnswer: -6*l + 70688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 4*n + n - 1, 6*n + 221 + 226 - 465 = 8*z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4787202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/15036470?\nAnswer: 1\/15036470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 33. Suppose 3*n + v - 3 = 0. Which is the smallest value? (a) 1 (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2. Let l(o) = -35*o - 2. Let u(a) = 51*a + 3. Let t(c) = -7*l(c) - 5*u(c). Determine t(b(h)).\nAnswer: 20*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 603 (base 7) to base 13\nAnswer: 19b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -52*a - 10. Let b(r) = -10*r - 2. Let d(g) = 16*b(g) - 3*c(g). Let i(x) = -x - 12. Let q be i(-10). Calculate d(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 322 - 328. Let o(k) = k**3 + 6*k**2 + 14*k + 94. Calculate the lowest common multiple of 162 and o(q).\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 383108971 to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1181, 1116, 1051, 986, 921?\nAnswer: 856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/(-10) + 2*(-4)\/40. Let r(y) = y**3 - 2*y**2 + 4*y - 4. Let c be r(z). What is the second smallest value in 1\/4, -3, c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 112*q**2*r - 3*q**2 + 10*q*r - 50*q + 3*r + 7 wrt r?\nAnswer: 112*q**2 + 10*q + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 287.152 times -4\nAnswer: -1148.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 - -29. Let t be 42 + (-1 - 3 - -5). Let i = u + t. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 785 is divided by 214?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xny. Give prob of picking 1 n and 2 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*j + 7, 0 = 11*j - 9*j + 2*m - 4. Solve -j*c = g - 3, -4*g - 5 = -0*g + 3*c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.13 + -0.53. Which is the second biggest value? (a) 1\/7 (b) d (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 5*d**2 + 8*d + 3. Let c(v) be the second derivative of v**4\/3 + 7*v**3\/6 + v**2 - 5012*v. Give 3*c(j) - 2*o(j).\nAnswer: -2*j**3 + 2*j**2 + 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -765868, -3 in increasing order.\nAnswer: -765868, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 n when three letters picked without replacement from {n: 3, v: 9}?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 934779007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 - 64460*p**2 - 259789888*p - 778789632.\nAnswer: -4*(p + 3)*(p + 8056)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2785391*v**4 - 2*v**2 + 219409935*v?\nAnswer: 33424692*v**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*v + 11*v + 0*v**2 + 4 - 2*v**3 + 4*v**3 - v**2 to the form j*v**3 + y + x*v**2 + f*v and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 280 and 1225.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*x - 120*x = 121. Are 117 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 311441*b - 287101?\nAnswer: 311441","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 2:13 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10791 and 133416.\nAnswer: 1467576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 11:48 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnknnkkktnoontktttt. What is prob of sequence tnk?\nAnswer: 175\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -26551348 divided by 122?\nAnswer: -217634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -x**3 + 589721*x**2 + 3913753*x wrt x?\nAnswer: -6*x + 1179442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2309 - 2308. Let j = -16 + 11.4. Let a = j + 5. What is the closest to x in -0.5, 2\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 5, 4 in descending order.\nAnswer: 5, 4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189469?\nAnswer: 7, 27067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 9. Let k(d) = -2*d**2 - 2*d. Let i(g) = g. What is l*i(q) - 4*k(q)?\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 13 - 8. Solve 13 = -3*l - 2*x, -3*x = w*l + 2*x + 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 516, 520, 524, 528, 532, 536?\n\"Answer: 4*x + 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 0 + 11 - 3\/15*0. Suppose -2*x = -6*x - 5*v + 1637, 0 = 5*x - 4*v - 1995. Calculate the greatest common factor of x and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - b. Let k be d(2). Suppose -k*j + 1 = -3. Let n(s) = -2*s**2 - 4*s**2 + 6*s**j + 2*s**2. Let y(i) = -2*i. What is y(n(m))?\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -343, -335, -321, -301?\n\"Answer: 3*n**2 - n - 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.96 greater than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -19*n + 344. Let s be t(16). Suppose 5 = -s*m + 39*m. Put m, 1\/4, -132 in descending order.\nAnswer: 1\/4, m, -132","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = o. Suppose -3*q + q + h = 5, -4*q + h - 7 = o. Put -4, q, -3 in decreasing order.\nAnswer: q, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/8 - 7*v\/4 - 13\/8.\nAnswer: -(v + 1)*(v + 13)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 15*k - 0*u - 72 + 64 + 255, 0 = 5*k + 3*u + 97 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*i**4*r - 26*i**4 + 380*i**3*r - 3*i**3 - 16*i**2*r + 14*i**2 + 359*i*r - i + r wrt i.\nAnswer: 648*i*r - 624*i + 2280*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 + 52*v + 332. Suppose 0 = 5*g + m - 2188, -5*g + 4*m = -0*g - 2173. What is the smallest common multiple of w(-11) and g?\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 divided by -14?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2886 and 66?\nAnswer: 31746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**4 + 536*i**3 + 18996*i**2 + 69680*i + 67600 = 0. What is i?\nAnswer: -65, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 27 = -b - 7, -4*j = 4*b - 160. Calculate the remainder when j is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8421027 by -1.\nAnswer: 8421027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6 - -2128.\nAnswer: 2128.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 402*11829.\nAnswer: 4755258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5265541 - -3?\nAnswer: 5265544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18394608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/((-30)\/9))\/((-3)\/(-8)). Let g = k - -28. What is the remainder when 125 is divided by g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 6:07 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 101 + -8?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -50ca2?\nAnswer: -50ca0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3670*i**3 - i**4 - 73530625 + 311300*i**2 + 6*i**4 + 72630250*i + 585400*i**2.\nAnswer: 5*(i - 1)*(i + 245)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 27. What is the remainder when a is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 2\/5, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 4, 5, -0.3, 0.1, -0.5, -4964, 1\/47?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4348 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -294 - -471. Suppose -88 = -5*y + g. Calculate the remainder when 264 is divided by y.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46 and 23.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*t + 34. Suppose 4*i = 3*b - 0*i - 119, 3*b = 3*i + 120. Calculate the remainder when b is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 35884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 - 342915*g - 1714650.\nAnswer: 3*(g - 114310)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127371628.\nAnswer: 2, 3209, 9923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19239768*g**3*t**2 - 1817596*g**3 - g**2*t wrt t?\nAnswer: 38479536*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.5 in 2, 4, -0.256?\nAnswer: -0.256","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 12*m + 1. Let o(h) = 32*h + 4. Let c(n) = -5*o(n) + 14*u(n). Let t(f) = -9*f + 7. Calculate 5*c(w) + 4*t(w).\nAnswer: 4*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.2151 plus -515?\nAnswer: -568.2151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111001001010001 + 100?\nAnswer: 100111001001010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 285*j**2 + 568*j + 3. What is b(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 116180.3 and 0.\nAnswer: 116180.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5025?\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 5. Let q be r(-5). Solve q = 5*x - x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0582 rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16206*t**5 - 6*t**3 - 620*t - 32 wrt t.\nAnswer: -324120*t**3 - 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/231*27\/72?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5843 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 4*y - 180 = 0. Let j be (-690)\/y - 2\/3. Let k = -1516\/253 - -142\/23. Which is the second smallest value? (a) j (b) 0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l. Let x(i) = 9*i**2 - 11*i - 106192. Determine q(x(o)).\nAnswer: 18*o**2 - 22*o - 212384","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = 3*k - 7*f, 8979*k - 8974*k = -3*f - 13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40927?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1304905*x**5 - x**3 + 416437*x**2 - 6*x + 2 wrt x.\nAnswer: -78294300*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124050 divided by 346.\nAnswer: 62025\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 + 0*p**3 - 5*p**3 + 2*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*w = -67021 + 65989 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8 - -5)\/((-161)\/33 - -5) and 145\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/((o*(o\/(o*o**(-1)))\/o)\/o*o*o)*o*o*o**(-12)\/o*o*o*o**12*o**5)**(4\/19) assuming o is positive.\nAnswer: o**(32\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**5\/11 - 12*k**3\/11 + 16*k**2\/11 - 6*k\/11.\nAnswer: 2*k*(k - 1)**3*(k + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/17*p**4 - 2\/17*p - 6\/17*p**3 - 6\/17*p**2.\nAnswer: -2*p*(p + 1)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 991 - 249 = 53*r for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509 is divided by 73.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ipp when three letters picked without replacement from iippi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (26\/(-5))\/(6\/(-15)). Let x = -8 + w. Suppose 5 = -x*z, 5*d + 2*z - 303 = 5*z. Does 20 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c = 8528 - 8555 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/7 - (-30)\/(-7). Let r = 14 + n. What is the smallest common multiple of r and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1755 - -57?\nAnswer: -16cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 27066 divided by 13533\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -34, -48, -62, -76, -90?\n\"Answer: -14*n - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192486985?\nAnswer: 5, 269, 143113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126976 divided by 58.\nAnswer: 63488\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 1003 - 1001 = -3*w, 5*c = 20*w + 205 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 2*m + 10, -9*l = -10*l + 2*m + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9434)\/4770*75*(-3)\/95 + 5\/(-1).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 0. Let c = -778 - -773.032. Let i = c + h. Round i to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/52, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 11 + 2*n**2 - 10*n - 12. Let d be 9 - (0\/(-4) + 2). Calculate the least common multiple of m(d) and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 7*f - 12. Let s be j(2). Solve 2*u - s = -3*p + 5*u, 5*u = -4*p + 26 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, -0.3, 4, 9, 0.6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58174.\nAnswer: 2, 17, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + m = 3*u - 340, -u = -3*m - 100. Let x(b) = -57 + u - b - 49. Let s be x(5). Put 5, -3, s, 2 in increasing order.\nAnswer: -3, 2, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 41.6.\nAnswer: 12.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*j - 24 + 4 = 0, 5*w = -5*j + 100. Is 1\/(-2) - (-1256)\/w a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - 3 - ((44 - 68) + 37)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6609.\nAnswer: 3, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 5*q**4\/24 + 5*q**3\/2 - 22*q**2. Let v be g(-3). Factor -1\/3*b**5 + 0*b**3 + v*b**2 + 1\/3*b**4 + 0 + 0*b.\nAnswer: -b**4*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9550102*g**2 + 3115664*g?\nAnswer: -19100204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4.1, -2\/11, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*f = -0*n - 10711, 0 = -3*n + 3*f + 6423. Let u be n\/48 + 4\/(-6). Calculate the greatest common divisor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -4*a**6\/15 + a**5\/20 - a**2 + 16*a + 51. Let t(n) be the first derivative of f(n). What is the derivative of t(y) wrt y?\nAnswer: -32*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150 and 3200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g**3 + 21*g - 21*g.\nAnswer: 13*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2*y**2)*(11*y + 11 - 11)*(109*y - 3 + 122*y - 242*y) in the form m*y**2 + h + v*y**3 + f*y**4 + l*y and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5434431 - -5?\nAnswer: 5434436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*z + 4 = 5*z, 5*h - 5*z = -40. Suppose -2*t + 11 = -4*t + 5*c, 3*c = -5*t + 50. Let s(r) = 3*r + 8. Let p(a) = 2*a + 7. What is h*s(u) + t*p(u)?\nAnswer: -4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**4 + 0*o**4 + o**4)*(3 + 2*o - 3).\nAnswer: -2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -10 + 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2. Let q(k) = -75263313*k**2. Give z(q(s)).\nAnswer: 5664566283735969*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/7, 3\/2, 4, -607, 5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 99\/(-22) + 1\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 30. Let k be d\/(((-90)\/(-4))\/3). Is k smaller than 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 233.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-52) - 9\/12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 94\/25 or -2\/389?\nAnswer: 94\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31186, 31258, 31330, 31402, 31474, 31546?\nAnswer: 31618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47550764.\nAnswer: 2, 947, 12553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**13\/(z\/(z*(z*z\/(z\/(z**(-2\/15)*z*z))*z)\/z))*z**(-2\/5)\/(z*z**(11\/5)))**41 assuming z is positive.\nAnswer: z**(7544\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/15 - 5 - (-5)\/1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 215 and 2929203?\nAnswer: 14646015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r + g + 15 = 0, 5*r + 42192 = -3*g + 42209 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c**3 - 78*c**2 + 4*c + 47. Is z(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32.1 - -32. Which is the closest to 1? (a) n (b) -0.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20087, 20086, 20085, 20084, 20083?\nAnswer: 20082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -400.31 - -398. Let q = -0.04 - -2.34. Let n = a + q. Round n to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 74, 72, 68?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84 - 24. Suppose -5*j + z = -j. Solve -h + 4*h = j for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 729*j**5 + 972*j**4 - 864*j**3 + 208*j**2 - 16*j.\nAnswer: j*(j + 2)*(9*j - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*3\/9*(-63)\/35.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33.4 - -37. Let n = 0.147 - -4.453. Let x = p - n. Which is the second biggest value? (a) x (b) -1\/2 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2*d + 10 = 0, 9*d = 5*s + 5*d + 24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -249, -243, -235, -225, -213?\n\"Answer: u**2 + 3*u - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21964 - -21967. Let k = 7 - 13. Let r be 2\/6*k\/(-1). Solve x*b - r*b = 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - 605823?\nAnswer: -605819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -4. Let z = 13 + c. Put 0.4, z, 0 in descending order.\nAnswer: 0.4, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnh when three letters picked without replacement from wwhwhnhhhhw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.3008 rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 2)\/2*-3. Suppose 2*b - t*b = -5. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 2*n + 57. Suppose n - 44 = -5*k. Let x(w) = -5*w - 2. Let l(i) = -6*i - 3. Let p(z) = 4*l(z) - 5*x(z). What is p(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5315 - 767 = -758*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, r: 4, s: 1, m: 3}. Give prob of picking 1 r and 1 m.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 150247319 times -0.01\nAnswer: -1502473.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 2. Determine g(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -48338784\/11 and -4394434 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51089588 to the nearest integer?\nAnswer: 7148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -111 and 4308?\nAnswer: -478188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -330 - -9237\/28. Which is the second biggest value? (a) 1 (b) 0.4 (c) n (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105991880 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -11*r**2 + 4*r - 11. Calculate o(-6).\nAnswer: -431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 0*i + 0*i**4 + 13*i**2 - 13\/6*i**3 + 0*i**6 + 0*i**5 - 3\/70*i**7 + 0. Differentiate n(v) with respect to v.\nAnswer: -36*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u + 2. Let h be c(3). Let q be ((-20)\/14)\/(h\/28). Let y = -1690 + 1692. Solve -3*j - 4*o = -2*o + q, 20 = y*j - 4*o for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 4. Let s(t) = -t**3 - 7*t**2 - 9*t - 1. Let y(b) = b**2 - 17*b - 23. Let m be y(18). Let l be s(m). Sort -4, l, d in increasing order.\nAnswer: l, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 16, -27, -152, -401, -816, -1439, -2312, -3477?\n\"Answer: -7*x**3 + x**2 + 3*x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26 + -0.062?\nAnswer: 0.198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 3*h - 6129, -5*p - 7*h - h + 10200 = 0. Is p a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(10)*-1*-4)**2 - (sqrt(539)*-1)**2*-3.\nAnswer: 1793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5841033, -5841031, -5841027, -5841021, -5841013, -5841003, -5840991?\n\"Answer: f**2 - f - 5841033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2176 = -25*i - 131*i - 3776 + 1584 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -31826*(4 - 70\/20). Round z to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 13 (b) 419 (c) -2 (d) -0.5 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240822877.\nAnswer: 47, 5123891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/4)\/u)\/(u\/(u*u*u\/u**6)))\/(u*u**2\/u)**(-18) assuming u is positive.\nAnswer: u**(125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (1\/13)\/(12358\/3330 - 2 - 8\/5)\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, g: 3}. What is prob of sequence ggg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 8*y**3 + 2*y + 2. Suppose -5*v = 35, -7 = 2*d + v + 22. Let a(h) = 41*h**3 + 11*h + 11. Determine d*u(m) + 2*a(m).\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a minute in milliseconds?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4c89 + 4d5?\nAnswer: -4794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24560 and 32849?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**4 - 51265*o**3 + 131379345*o**2 + 131738265*o - 788583870 = 0 for o.\nAnswer: -3, 2, 5127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**5\/4 + 23*w**4\/2 - 479*w**3\/4 - 599*w**2\/2 + 120*w + 288 = 0.\nAnswer: -2, -1, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 2*d**2 - d - 1. Let a be g(1). Let y = -2 - 4. What is the units digit of a - 0 - (5 + y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*r - 29 + 29)*(-6 - 4 + 1 + (-1 + 1 + 1)*(0 - 1 + 2) + 1 + 5 - 4).\nAnswer: 198*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 791, -0.1, -140, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1473 a factor of 1870710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/140994648 and 163\/78330360.\nAnswer: 704973240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75040.\nAnswer: 2, 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 4*a**2 + a - 2. Let r be x(-3). Solve -c - c + r = -2*t, -2*t = c + 13 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 140*g - 6716. Let u be o(50). Let q(n) = -n**2 - 4*n + 1. Let x be q(-3). Calculate the greatest common factor of u and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 33 - 2 = -a, 2*y = 5*a - 209. What are the prime factors of a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -48 + -3902?\nAnswer: -3950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 93965 = -9*b - 2*t, -2*b - t + 62644 = 0. List the prime factors of b.\nAnswer: 3, 53, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 937 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q + q - 4*q + (q - 3 + 3)*(7 + 2 + 3) + (8 - 13 + 15)*(36 - 36 - 5*q) in the form s*q + j and give s.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 18*n + 19*n + n - 2*n + 4*n + 2*n - 2*n - n + (-2*n + n + 3*n)*(-1 + 5 - 3))*(2*n - 4 + 4).\nAnswer: 76*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -61508.376 rounded to the nearest one hundred?\nAnswer: -61500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -59*s + 7. Let u be a(-6). Suppose -5*t = 10, 3*f - 5 = 2*t - 4*t. Suppose 163 + 202 = f*w + 4*y, -3*w = 5*y - u. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*w = -148*w - 28. What is the tens digit of w*(2 + (-2044)\/49)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486290401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-3\/5))\/u**(2\/7)*u**1\/u**(-3\/5) assuming u is positive.\nAnswer: u**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 + -49. Let s = 43 - u. Suppose s - 95 = -z. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6 = 3*o, o - b = -0*b - 8. Sort -18, 5, 0, o in ascending order.\nAnswer: -18, o, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iegeieegg. Give prob of picking 2 g.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 61678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 39, 58, 77?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.98 - -0.02. Let t = -16 - -20. Which is the biggest value? (a) t (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 k when three letters picked without replacement from {t: 1, a: 1, k: 9}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130 (base 4) to base 14.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.227329569 * 5\nAnswer: -1.136647845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/5*((-620 - 2) + 12). Calculate the highest common divisor of i and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 2*g**2 - 25*g + 4. Determine j(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688 is divided by 429.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17697 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10048537*t**6 - t**2 + 768635*t - 2 wrt t.\nAnswer: -1205824440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22.306 and 0.0649?\nAnswer: -1.4476594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0880994 + -27.5?\nAnswer: -24.4119006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k + 40*k - 477 = 0 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 22 = 3*j + 8*o, 0 = 5*j - o - 6. Suppose j*c - 81 - 54 = -5*g, -4*c - 3*g = -277. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 4*f**2 - 4. Let o be 1 + 10 + -4 - 3. Determine r(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(405) + (sqrt(405)*-1 - sqrt(405)) + sqrt(180)*-3) + sqrt(100)\/(-6*sqrt(45))*-4)**2.\nAnswer: 2686445\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 9. Let r be l(5). Let y be (-43)\/(-5) + r\/10. Find the second derivative of 9*b**2 + 2*b**4 - y*b**2 - 3*b wrt b.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5015 = 14*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-9)*t*t*t\/(t*t*t**(-2\/23)*t))\/(t**(-7)*t**4*t))\/((t*t**0)\/(t*t**(-9))*(t*(t\/t**(1\/3))\/t)**(8\/7)) assuming t is positive.\nAnswer: t**(-8054\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express h**4 - h**4 + 2*h**4 + (-h**2 - h**2 + 0*h**2)*(-2 - h**2 + 2) + 2*h**4 - 3*h**4 + 0*h**4 as u*h**3 + a + d*h**4 + b*h + c*h**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 3*f - 4*z - 64 = 0, 3*z = -4*f - 60. Let t = -7 - f. Suppose -3*c - 2*c - 2*b = -70, -56 = -4*c - t*b. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**3\/3 - 5*b. Let l(p) = 4*p. Determine l(f(y)).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.049 and 0.09?\nAnswer: 0.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24\/73 + 218\/219. Put 21\/13, 4\/9, k in descending order.\nAnswer: 21\/13, k, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 13, 1, -3, -25\/7 in increasing order.\nAnswer: -6, -25\/7, -3, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11002 (base 5) to base 13\nAnswer: -45b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 897322 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.11 (c) 4 (d) 2\/11 (e) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -94, -1, 2, 3121.\nAnswer: -94, -1, 0, 2, 3121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 40894017270 take away 0.071?\nAnswer: 40894017269.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m. Let q(o) = -59*o - 14. Let n(z) = 530*z + 125. Let j(s) = -4*n(s) - 35*q(s). Let g(h) = j(h) - 25*p(h). Does 28 divide g(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -q - 880. List the prime factors of q.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*u = -8. Is 2\/u - 226\/(-4) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -30, -220, -754, -1812, -3574, -6220, -9930, -14884?\n\"Answer: -30*y**3 + 8*y**2 - 4*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2)*3\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47.104 + 0.104. Let v = 46 + d. Which is the third smallest value? (a) v (b) 2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 109017089\/2730 - 39933. Let k = 33898\/1365 + r. Find the common denominator of -59\/14 and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - 1) + (3 - -89). Let f(l) = 7*l**2 + 3*l - 1. Let n be f(4). Let o = j - n. Is -35 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*((b\/(b\/b**(-6)))\/b)\/b*b)\/(b\/(b*b**7)) assuming b is positive.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/5346 and -17\/33?\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 5*s. Let r be w(-5). Solve -4 = -d - r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 73*p - 2. Let w be x(3). Suppose -5*u + 20 = 0, -2*o - 3*o - 4*u + 41 = 0. Suppose 0 = o*l - 448 - w. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/11706292 and -31\/840.\nAnswer: 2458321320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*z**2)*(4*z + z - 4*z)*(1 - 3*z - 1).\nAnswer: 6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -558600 to the nearest ten thousand.\nAnswer: -560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**4\/4 - j**3 + j**2 - 4*j - 1. List the prime factors of a(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggygjgtbjjgg. Give prob of picking 1 t, 1 g, and 1 j.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34737013081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**2 + 0 + 5\/12*j**4 + 1\/6*j**3 + 5*j. Suppose 2*p - 4*c = 0, -c = 3*c + 4. What is o(p)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1926bb (base 14) in base 10?\nAnswer: -890397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - a + 1 = 1045*m - 1042*m, -4*m = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -7*r**2 + 23*r**2 - 6*r**2 - 13*r**2. Let s(k) = 33*k**2 - 7*k - 7. Let d(t) = -11*t**2 + 2*t + 2. Let n(q) = -7*d(q) - 2*s(q). What is n(p(o))?\nAnswer: 99*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 1, 5, -282102 in ascending order.\nAnswer: -282102, -2, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*x + 5796, 5*x + 652 = -g + 15112. What are the prime factors of x?\nAnswer: 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**6\/120 - o**5\/60 - o**4\/24 - 3*o**2 - 1294. Let d(u) = 4*u**3 - 2*u**2 + 2*u. Determine d(t) + 2*v(t).\nAnswer: 2*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.25411 - -0.78399. Round f to two dps.\nAnswer: 1.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.078 + 0.422. Let w = -72 + 207. Let m = 673\/5 - w. What is the third smallest value in 4\/7, m, q?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73460 = 73449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(8\/(-12))*2\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 + 584*q + 968410.\nAnswer: -2*(q - 857)*(q + 565)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, -3, 5 in decreasing order.\nAnswer: 5, -3, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*j - 28*j = -493*j - 61*j + 18011 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 3) + 8\/(-2). Let i = 19 + u. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 d, 1 z, and 1 l when four letters picked without replacement from {l: 6, z: 3, d: 3, p: 6}.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3402223324310 + -10?\nAnswer: -3402223324320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -7*f**2 - 5*f - 5. Let t(y) = 22 + 8 - 3 + 3*y**2 + 6*y - 2*y**2. Let v(a) = -a**2 - 3*a - 12. Let l(k) = 3*t(k) + 7*v(k). Give -3*i(z) + 5*l(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50427368065 - -0.256.\nAnswer: 50427368065.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67833 - 67831. Let h = -0.09 - -6.09. Which is the smallest value? (a) m (b) -5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162488 and 82878.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - 2*z = d + 9, 7*z = 254*d - 252*d - 26 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bgb when three letters picked without replacement from {b: 3, g: 11}?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 3*x - 6. Let y be s(-5). Suppose 74 = c + d + y*d, -4*c = -4*d - 248. What is the remainder when c is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/18 + 1685\/(-495) - -3. Sort 2\/11, 0, b in ascending order.\nAnswer: b, 0, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -294297 smaller than 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 152\/190 + 29*3\/(-15) - -16.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 + 1. Let c = -3.87349 - -3.87349. Is o less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 83\/233, -4, 3\/8, -76\/7?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487113?\nAnswer: 3, 11, 29, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*p = p - 9, -p + 2 = 0. Suppose w - 38 = -5*q, i*q - 19 = 2*w + 9. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, j: 2, a: 1, p: 1, h: 2}. What is prob of picking 1 j, 1 s, and 2 h?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 3*f - 413 = 0. Let n = f + -47. Let l = -106 + 202. Calculate the greatest common factor of l and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 5*m**2 - 33*m + 164. Give d(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56612682?\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 561 + -428. Calculate the greatest common factor of f and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -907, -103, 639 in decreasing order.\nAnswer: 639, -103, -907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/279 and -70\/120807?\nAnswer: 120807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-552)\/(-156) + (-12)\/(-26). Let z = -3 - -8. Let v = z - -15. Solve v = -0*y + l*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(-4))\/(645\/(-3096)). Solve 0 = -r*z + 114 - 96 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1609 + -8b99?\nAnswer: -a4a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**3 + 559*p**4 - 627*p**4 - p**3 + (2*p + 3*p + 0*p)*(0 + 2*p**3 + 0) + p**4 + 9*p**4 - p**4 to n*p**4 + s*p**2 + b*p + x + i*p**3 and give n.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 451574 + 1?\nAnswer: 451575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -4*t + 16. Let o be (1 - -65) + (-32)\/t. Suppose -5*l + 45 = -3*d, -5*l + 0*l = 2*d - o. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 561827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 1351?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1, 0.37, -0.13?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 7*t**4\/4 - t**3 + t**2 + 10. Let c be l(2). Suppose -3*g = -4*g + c. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**3\/3 - 7429*j**2 + 311822*j\/3 = 0.\nAnswer: 0, 14, 22273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 474 - 471. Suppose -2*l = -2*n + 18, 0 = -j*l - 20 + 5. Solve 3*f + 1 = m + m, 12 = n*m + 4*f for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/37)*x**(-2\/19))**(-18)*(x**(-5\/4)*x\/(x\/(x*x**(-2\/9))))\/(x**7*x*x**5*x) assuming x is positive.\nAnswer: x**(-749231\/25308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 481, 242, -423, -1730, -3895?\nAnswer: -7134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-3) - 0) + 129. Let g = 2077\/16 - o. Is g equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -883710 divided by 30.\nAnswer: -29457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1100 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(931))*-2*5 + -2 - 3*(-4 + sqrt(931) + 3*(sqrt(931) + (-2*sqrt(931) + sqrt(931))**2)).\nAnswer: -8349 - 154*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112138 and 23750.\nAnswer: 70086250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - j = -11 - 8, 2*j - 6 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -46350875 and -46350877 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 105 + 19 = -s, 2*c - 15 = 10*s + 77 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 6, f: 13}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/6 - 10\/(-60)*-2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**7\/420 - 6*r**4 + r**3\/6 - 165*r. Let t(z) be the third derivative of q(z). Let w(h) = 20*h**2. Give t(w(d)).\nAnswer: -2400*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllllllll. What is prob of picking 4 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.479 times -35.6\nAnswer: -17.0524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {x: 7, e: 3, f: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -y - 14, -129 = -4*h - 2*y - 97 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -50. Calculate the lowest common multiple of 16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39206 divided by -14?\nAnswer: -19603\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -9*b. Let c(r) = -r - 3*r + 7*r. Give c(m(f)).\nAnswer: -27*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 25*d. Let x(k) = -75*k. Determine -10*n(y) - 3*x(y).\nAnswer: -25*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**0)**(37\/2))**35\/((x*x*x\/(x*x\/(((x\/(x*x**(-2\/7)))\/x*x)\/x)))**39\/((x\/x**(-1\/5))\/(x\/(x\/(x**(-3)\/x))))) assuming x is positive.\nAnswer: x**(45117\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**2 - 11692*x - 11688 = 0. Calculate x.\nAnswer: -2922, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1047178\/67 or -15630?\nAnswer: -15630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 191185, 382497, 573809, 765121, 956433?\nAnswer: 1147745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + ((sqrt(891) - (sqrt(891)*4 - sqrt(891))) + -2)*-5 + 1)**2*-5.\nAnswer: -1787120 - 57600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 12:18 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26152 and 806414.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*b + 42*b + 9366 = 16*b + 153*b for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.189 - 0.011. What is the fourth biggest value in 0.06, 0.2, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 9, -0.1, -0.5, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 167909 at least 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-one halves of a kilometer in meters?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d - 3. Let f be i(2). Suppose -f*c - 3 = -12. Suppose -c*y + 2*v + 0*v = -28, 0 = 2*v - 8. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 7:15 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2903826007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2776329281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7702 - 6292. Calculate the smallest common multiple of i and 18.\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*u = -1700. Let d = 1523 + u. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2203120 + -2?\nAnswer: 2203112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 578 + -579. Let i = 22\/3 - 7. Which is the second biggest value? (a) w (b) -2\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t*t**(-6)\/t*t)))\/t)**35 assuming t is positive.\nAnswer: t**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - 2. Let t = a - 10. Let d = -8 - t. Is d less than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 225 + -220. What are the prime factors of (691 - (t + -4))*(2 + 0)?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -662\/5 or -133?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116826198?\nAnswer: 2, 3, 883, 22051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-6) - -1)\/1 - -7. Which is smaller: 7 or i?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**5\/21 + 8*c**4\/21 + 2*c**3\/7 - 8*c**2\/21 - 8*c\/21 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**3 + n**2 + 24*n + 22. What is w(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2809\/294 + 68\/49. Let n = 20 + -7. Calculate the common denominator of n\/(-5)*10\/(-8) and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**3 - 12*k**2 - 6. Let n(o) = 11*o**3 - 36*o**2 - 2*o - 19. Let j(q) = 17*a(q) - 6*n(q). Let s(d) = d**2 + d + 1. Calculate -j(l) + 12*s(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.96 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 7:01 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*h**3 + 28*h**2 + h**5 - 41*h**5 + 25*h**3 wrt h?\nAnswer: -2400*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and 175086631268?\nAnswer: 175086631265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 70\/(-8))\/(2\/(-8)). Let l = v + 33. List the prime factors of (-2)\/l*8\/(8\/79).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3845501, 7690978, 11536455, 15381932, 19227409?\nAnswer: 23072886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4 - 2\/4. Let g be 28\/(-12) - (-1)\/3. What is the nearest to 0 in g, -0.4, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + (-2)\/(-3))*3. Suppose 0 = d*y + 29 + 11. Let o = -6 - y. Let n(l) = l**2 - 2*l - 2. Determine n(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i - 6*i**3 + 2*i + 4*i**3 - 3*i**3 to w*i**2 + y*i**3 + f + q*i and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-10))\/(2\/(-20)). Let x = -8 + s. Suppose y + x = -h + 2, -4*y = h + 4. Calculate the least common multiple of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 14*s**3\/3 + 14. Let h(c) = 3*c**2. What is 12*h(j) - 3*i(j)?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9375851 take away 0.22?\nAnswer: -9375851.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -7. Suppose -5*t = 4*q - 7, -7*q = -2*q + 2*t - m. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t + t - 3*t)*(14357 + 3126 + 10035 + 3042 + 434) to i + d*t and give d.\nAnswer: -61988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 5:47 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*n - 77*n - 660 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (85 + 99 - 27)*(-2*y + 0*y + 4*y) to c + o*y and give o.\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, 9, 40, 85?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15750911.\nAnswer: 11, 53, 27017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -55*i**3 - 6319*i**2 + 13560*i - 1404 = 0. Calculate i.\nAnswer: -117, 6\/55, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**4\/8 - 9*k**2 + 16*k. Let f(r) be the first derivative of a(r). Let t(u) = -7*u. Calculate t(f(x)).\nAnswer: -21*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 138793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -725500 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d - 128cb?\nAnswer: -128e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 8*w**2 + 13*w - 2. Let o = 68 - 59. What are the prime factors of f(o)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-171)\/342*(24\/7)\/(-3))\/(22\/14).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*x = -2*x + 3920. Let m = x + -45. Calculate the remainder when m is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5203042 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3121334 (base 5) to base 7.\nAnswer: -303025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 6*h**2 - 10*h + 1. Let q be s(-3). Suppose -d - 5 = -6*d. Let v be 1*-1*(d - 2). Solve -q*g + v = 13 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/10)\/((-112)\/(-40))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 39.06052 meters?\nAnswer: 39060520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**3 + 3*t**2 + 12*t + 6. Let h(q) = -2*q**3 + 4*q**2 + 11*q + 5. What is -6*h(a) + 5*r(a)?\nAnswer: 2*a**3 - 9*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 780 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7945 by -227.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19378359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b. Let t(g) = g**2 + 1. Let h(l) = -32*l**2 - 28. Let n(y) = 2*h(y) + 56*t(y). Determine q(n(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 b, and 1 j when four letters picked without replacement from mmjjmmbmjjm?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 341*n - 1025. Let c be m(3). Is 21 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1303?\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 13*y**2 + 3*y + 7. Let g = 9 - -4. Calculate the remainder when r(g) is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -128\/325 - -6\/25. Suppose -6*i = -3*p - 3*i + 6, 5*p - 14 = i. What is the smallest value in 0.1, v, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 3*m**2 + 11*m + 7. Let x be (2\/4)\/(7\/(-84)). Let h = 3 + 7. What is the remainder when g(x) is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/1245546 and -139\/1245546.\nAnswer: 1245546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*p = q + 167*p + 14, -3*q - 12 = 4*p. Put 11, q, -3 in increasing order.\nAnswer: q, -3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -4, -1, 5.\nAnswer: -4, -1, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)*b**(4\/7)\/b)**15*(b**(1\/3)*b)**(-14\/11)*((b*b\/((b**2\/b)\/b*b)*b)\/b)\/(b\/b**(1\/3)) assuming b is positive.\nAnswer: b**(-1755\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1281184*y - 320297*y - 320287*y - 320289*y - 320300*y.\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 364.7792l?\nAnswer: 364779.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -j**5\/360 + 29*j**4\/24 + 59*j**3\/4 - j**2 - 197. Solve g(z) = 0 for z.\nAnswer: -3, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {t: 6, x: 2, s: 5}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 80.\nAnswer: -79.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2*1)\/(16014\/(-2670) + 6). Suppose 2*d + o - 354 = -o, -s = -5*d - 4*o. Let q = -49 + d. Is 16 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1332 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - a + 12 = -5*a, -7 = 2*r + 3*a. Let g(f) = 6*f + 9. Let d be g(-6). Let x = -15 - d. What is the least common multiple of x and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 19 + 344\/(-18) + 137260\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, t: 2}. What is prob of sequence xtt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*b**5 - 3268*b**3 + 83*b**2 - 14020963*b wrt b.\nAnswer: 180*b**3 - 19608*b + 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62 - -72. Let j(c) = -c + 11. Let z be j(6). Suppose 4*s + l - 36 = -5*g, g - 1 = -z*s. Solve 0 = 4*d - d + g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 794\/3*(6 - 3). Let b = 1275 - x. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 1\/4*p**4 + 0*p**3 - 12*p + 0*p**2 + 0. Let l(c) = 4*c. Determine l(r(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/176 in -0.4, 65, -1\/324?\nAnswer: -1\/324","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -249, -250, -251?\n\"Answer: -z - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 7*q**2 - 10*q**3 + 9*q**3 - 3 - 2 + q. Let l be i(7). Solve 5*n - l*n - 9 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54145.01322 rounded to 0 dps?\nAnswer: 54145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*8\/(-64)*48\/(-2). Solve -187*w + 183*w - i = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00042773295 to 5 dps.\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 941 = -5*d - w, -4*w = -3*d - 682. Calculate the common denominator of -2 + (-81)\/d + 1 and -89\/26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 4:15 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**5\/4 + 51609*p**4 + 3549666393*p**3\/4 - 14212758309*p**2 - 15100123299*p = 0.\nAnswer: -34414, -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -68*u**3 - 46*u**2 + 69*u + 36641. Let j(z) = 6*z**3 + 4*z**2 - 6*z - 3331. What is -23*j(h) - 2*m(h)?\nAnswer: -2*h**3 + 3331","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*c**5 + 39*c**4 + 58*c**3 + 36*c**2 + 8*c.\nAnswer: c*(c + 1)*(c + 2)*(3*c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -7*m + 52. Calculate the remainder when 76 is divided by m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**4 - 70*a**3 - 3675*a**2\/2 - 1015*a. Factor m(f).\nAnswer: -3*(2*f + 35)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114366847, -114366848, -114366849, -114366850, -114366851?\nAnswer: -114366852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/1 - (-575)\/(-46)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(2002\/(-100)) - ((-288)\/(-21) + -14)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) 0 (c) -5 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455465.\nAnswer: 5, 71, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l - 5. Let w be d(-6). Let f(a) = a**2. Let o be f(w). Let q = 2 + 2. Solve q + o = -5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20486369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -36 + 47 - (4 - 3). Solve -3063*q + b = -3068*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -80 - 82 + 2*k + 167 - 8*k - 10599999*k**2. Let t be h(1). What is t rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from lqlqqllqqqqlllll.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6493 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: How many tonnes are there in 616.1197g?\nAnswer: 0.0006161197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - d + 5 = -5*s, -5*d = 5*s + 15. Suppose 4 = s*r - 2. Solve -r = -3*o - 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -8*h + 3*h. Let p be (-1 - (-3 + h))\/2. What is the second smallest value in -4, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112 divided by -127.\nAnswer: -112\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 66123*t. Let x(b) = -3576*b**2. Determine x(d(l)).\nAnswer: -15635170037304*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4 = -2*w + 6, 5*w + 30 = 2*v. Let z(q) = 3*q**2 - q**2 - 4 - 3*q**2 + 2 - 5*q. Calculate z(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/1377 and 89\/3888?\nAnswer: 66096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d + 112 + 111 + 107 - 326. Suppose 0 = 5*u - 4*u - 4, 2*s - 3*u = 6. Let b = -2 + s. Let q(n) = -6*n + 7. Determine b*h(y) - 4*q(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v + 16. Let j be t(7). Let f(d) = 2*d**2 - 4*d + 3. Let u be f(j). Solve -u*a + 20 = 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 268, 5, -2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(152)*-1*-6)\/(4*sqrt(8)*-2)*4)**2.\nAnswer: -24*sqrt(19) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17216 (base 10) to base 6.\nAnswer: 211412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2112, -4, 3 in descending order.\nAnswer: 3, -4, -2112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -514.08 take away 0.5?\nAnswer: -514.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -50172 divided by 6\nAnswer: -8362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (1 - 6) - (1 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17691 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3015 - 3024. Let l be 0 + 6\/(-2*1). What is the second smallest value in -1, w, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 3938671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/11*-46*37323\/6786.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/66)\/6*1\/(-2)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5, -35, -77, -131, -197, -275?\n\"Answer: -6*d**2 - 12*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/963981 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1100, -5261, -12534, -22925, -36440, -53085?\nAnswer: -72866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 123782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -1\/6, -2\/128373.\nAnswer: -5, -4, -1\/6, -2\/128373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 29554?\nAnswer: -29550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**4 + 5*p**4 + 2*p**4 + (-16 + 5*p**2 + 16)*(2*p - 4 + 4)*(-28*p - 6*p + 6*p).\nAnswer: -276*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -3 (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 6 + 68)*((-f - 2*f - 5*f)*(-1 - 3 + 5) - 2*f - 5 + 5).\nAnswer: -800*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2205, 4212, 6229, 8262, 10317, 12400, 14517?\n\"Answer: y**3 - y**2 + 2003*y + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 194*s**5 + 60594*s**3 + 235299*s + 28 wrt s.\nAnswer: 3880*s**3 + 363564*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 1)*(5 - 2 + 1)*(0*o**4 - 2*o**4 + 0*o**4).\nAnswer: 40*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 210269980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42607305 divided by -117.\nAnswer: 364165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/3349 in -16, -0.4, -2, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 764 - -147038.8591?\nAnswer: 147802.8591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2 - 23\/4*u + 7\/4*u**2.\nAnswer: (u - 3)*(7*u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38.12 + -5.08. What is o rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 12*v**3 + 2*v**2 + v. Let n be y(-1). Let f = n - -15. What is the remainder when f is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**4 - 128240*y**3 - 2691096*y**2 + 5766928*y - 2947588 = 0. What is y?\nAnswer: -32039, -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 33048329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19715, -39410, -59109, -78812?\nAnswer: -98519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 70 = 5*n - 0*b - 172, b = -2 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, o: 5, e: 7, y: 1, h: 3}. What is prob of picking 2 e?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96 - -41) + 82 + -36.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x + 3. Let f be y(2). Let o(v) = 2*v - 2. Let n(t) = 3*t - 3. Let c(d) = -3*n(d) + 4*o(d). Give c(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 179924724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 208381270 to the nearest one million.\nAnswer: 208000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 6\/5, 2\/9, 2?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -215*36\/(-27)*(-9)\/(-60).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12, -49, -110, -195, -304, -437, -594?\n\"Answer: -12*a**2 - a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/(12\/18).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-35)\/(-15) + -2 + (-2)\/(-3). Suppose -2*v + 2*x = -12, -3 + w = v + x. Factor -v*p**3 - 3*p**5 + 4*p**5 + 9*p**4 - 10*p**4.\nAnswer: p**3*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4707.935 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 93 (b) 3.2 (c) -0.4 (d) 1\/5 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 2:58 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + 2*t + t)*(-1 - 1 - 1) + (-t - t + 0*t)*(3 - 4 + 2) + t + 3*t - 6*t + 3 - 3 - 2*t.\nAnswer: -27*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 516.4579s in nanoseconds?\nAnswer: 516457900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1552829308 to the nearest integer?\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 + -8 - (-1 - 9\/(-7)). Which is the closest to -2? (a) 0.01 (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**8\/5040 + g**7\/2520 - g**6\/1080 - g**5\/360 - g**3\/3 - 3*g**2. Let i(s) be the first derivative of x(s). Factor i(b).\nAnswer: b*(b - 1)*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 11 + 1. Let j(z) = -z**3 + 6*z**2 - 3*z - 1. Let a be j(k). Is 19 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 70659.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 338, 28, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -187*a*d**3*w - 11*a*w - d**2*w + 4*w wrt d.\nAnswer: -1122*a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*r - r + 51 = 0, -2*h + 2*r = -24. Suppose -17 + 62 = h*v. Is v greater than or equal to -5\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p. Let g be (-2)\/(-7) + 984\/84. Suppose -13 = -5*b + g. Let h(c) = -b*c - c + 5*c. What is s(h(q))?\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 60 = -4*v, -2*v - 4*n - 887 = -857 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 181614.\nAnswer: 2724210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6*w - 1. Let b be p(-1). Let x(a) = -a + 5. Let f be x(b). Let j = 1342 + -1337. Sort j, f, 6 in decreasing order.\nAnswer: 6, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -91. Let l = -34 + z. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -1 + 2 - 2. Let b(f) = 4*f - 2. Suppose 177*v = 185*v + 8. Give v*b(c) + 4*o(c).\nAnswer: -4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 o when four letters picked without replacement from oododoooodoooodooo.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 450125 and 5375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -x**5\/60 + x**4\/36 + x**3\/18 - x**2\/6 - 3*x. Find a, given that k(a) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11418 - -11512. What is the nearest to b in 1, 35, 0.2?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j. Let c(v) = -v + 4. Let y(x) = 2*x + 16. Let m(d) = 12*c(d) - 3*y(d). Suppose -3*q = -3*z - 15, 3*z + q + 2 = -1. Calculate z*m(o) + 20*f(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000048150827 to 7 dps.\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 + -23. Suppose n + s - 8 = -4*n, 5*n = 4*s + t. What is o in -o**3 + o**2 + 0*o**2 + 3*o**3 - 5*o**n = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14385.98 days to nanoseconds.\nAnswer: 1242948672000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -6*l**2 + 17*l + 1. Let j(r) = -7*r**2 + 18*r + 2. Let p(k) = -5*j(k) + 6*w(k). Let z be p(11). Suppose -z*i = -2*i - 1675. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -l - 12, -4 = -l + 3*v + 4. Is 12 a factor of ((-11)\/l)\/(3\/36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2292441.75ns to days.\nAnswer: 0.000000026532890625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 3*x + 12*z - 1370, 2*z = -4*x + 1828. Let p = x + -415. What is the greatest common factor of 172 and p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a**2 - 6*a + 3. Let t(f) = -12*f + 6. Let m(o) = o - 1. Let r(x) = m(x) - t(x). Calculate the remainder when r(5) is divided by z(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -19*z**4\/24 + z**3\/6 + 2*z**2 + 6. Let x(h) = 2*h + 6. Let l be x(-4). Is 39 a factor of j(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -238, 0.8, -0.4, 3\/17, -3\/4, 1\/4, 13?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -3*h**7\/2 + 629*h**3\/6 - 700*h**2. Differentiate o(g) wrt g.\nAnswer: -1260*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - -4. What is the remainder when t is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 524.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + v**2 + 0*v)*(1 - 1 + 2*v**2) - 2037*v**4 + 4475 - 341 + 2038*v**4.\nAnswer: 3*v**4 + 4134","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3)\/18*9 + (-2435)\/(-1960) and 54\/49.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2 + 17*w. Let u = -16 + 22. Let n(s) = -s**2 + 7*s + 0*s**2 + s. Give u*r(x) - 13*n(x).\nAnswer: x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 11:07 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 111360\/6240 + 72\/(-39) + 2*1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -46*r - 1. What is the least common multiple of n(-2) and 65?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27521 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, 2\/129, 79, 2, -2\/67 in decreasing order.\nAnswer: 79, 2, 2\/129, -2\/67, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -27 + 16\/(4 - 0). Let s = -18 - q. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15, -17, -21, -21, -11, 15, 63, 139?\n\"Answer: a**3 - 7*a**2 + 12*a - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 5*f = -4, -26 = n - 5*f - 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 3*u + 2. Suppose -7*x = -3*x - 16. Let w be (-144)\/(-5) + (-8)\/10. Suppose 3*y = -x*y - w. What is c(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -11. Let c = 12 + d. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*(180\/32)\/15.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, r: 1, m: 2, k: 2}. Give prob of picking 2 k.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 4*u + 6. Let l be j(-6). Let y = 12 - l. Calculate the greatest common divisor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, r: 4, z: 2}. What is prob of sequence rr?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6 = 5*v. Let w(i) = 2*i**3 + 5*i**2 + i - 2. Give w(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3187 = 81*b + 224*b + 2608 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41764705 by 3.\nAnswer: 41764705\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 6*j = 15. What is the derivative of 2 - 2*y + 2*y - j*y**3 wrt y?\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3386249356 less than -9.256?\nAnswer: 3386249346.744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 3*u + 2. Let y be f(4). Let j be y\/2*-2 + 3. Let b = -30474 + 30477. Solve 2 = b*k + j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -5\/3. Suppose 2*c - 6 = -0*c. Let m be 2\/(-4)*c\/6. Sort -4, a, m.\nAnswer: -4, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -685, -2861, -6503, -11599, -18137, -26105, -35491, -46283?\nAnswer: -58469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/7)\/((-13)\/((-1274)\/(-112)))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*d = -13, 0*q = 3*q + 3*d + 9. Let o = q + -1. Suppose -3*g + o*g = 0. Solve -1 = -g*j + j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14908, -29822, -44736?\nAnswer: -59650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7\/(-14))\/((-2)\/8). What is the tens digit of 3\/n*(-190)\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -82 (c) 5 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 3*k + 45, -5*k - 8 = -h - k. Calculate the smallest common multiple of (-1150)\/184*6\/10*(-16)\/3 and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -2\/5421, 1.17?\nAnswer: 1.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -1899657.\nAnswer: -1899657, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2 + 9*c + 3. Let k(i) = -i**2. Give b(k(f)).\nAnswer: -2*f**4 - 9*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -647*j + 27853684 + 1204925 + 606988 = 0. What is the ten thousands digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59 by -76.\nAnswer: -59\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 60666.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n - 5*n - 10*n - 17*n. Let w(v) = 2*v. What is h(w(r))?\nAnswer: -66*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 56*w**3 + w**2 + 2*w - 17. Let b(q) = q**3 - q**2. Let d(i) = 2*b(i) - g(i). Is d(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 2178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*o - 4 = 4*o, -5*w - 13 = 2*o. Let m = w + 8. Calculate the remainder when 7 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.06, -0.4, 5, -2 in descending order.\nAnswer: 5, 1, 0.06, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 131354681 a multiple of 434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 0*w**5 + 0*w**2 + 0 - 5*w - 1\/120*w**6 + 0*w**4 + 0*w**3. Find u such that i(u) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 9 = w, 2*i + 51 - 44 = -3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, b: 1, h: 7}. Give prob of picking 1 u and 1 h.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 222211555 (base 6) to base 12\nAnswer: 1423bbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 1)*(-3 + 2 + 2) - 1 + 0 + 4)*(-27*d + 397 - 397).\nAnswer: -135*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 77420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 86 + -91. Which is the fourth biggest value? (a) 5 (b) 3\/5 (c) k (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f - 4929?\nAnswer: -48fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 7*z - 1. Let r be m(-6). Let l(x) be the first derivative of x**4 + 5*x - r*x - 2 + x**3 - 1. Find the third derivative of l(s) wrt s.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -13. Suppose -70 = -b*p + 4*p. Calculate the remainder when p is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b\/(b**(-5)*b))*b*((b\/((b*b\/b**10)\/b*b))\/b)\/b*b)\/((b**(1\/8)\/b*b)\/b**(2\/3)) assuming b is positive.\nAnswer: b**(157\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -49\/3 in -0.2, 0.0049, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1830832763 rounded to 3 dps?\nAnswer: 0.183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.2 + -10. Let w be (-19)\/(-5) - 2\/(-10). Let y be 1 - ((-18)\/(-4) + -1). Which is the third smallest value? (a) y (b) w (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1025\/4 - 258. Calculate the common denominator of -19\/5 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20606882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 130480 divided by -32620\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 556, 564, 586, 628, 696, 796?\nAnswer: 934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 - 2*t**3 + 67 - 14 + 2*t in the form y + f*t**3 + g*t**2 + i*t and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-8))\/((-4)\/(-320)*5). Solve -2*u + y = 4, -u - 3*u + 3*y = j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q, 2*x + 22*q - 1 + 5 = 166*q - 34 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 20 - (12 + (10 - 15)) - 36?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74983, -74993, -75003, -75019, -75047, -75093?\nAnswer: -75163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32251418?\nAnswer: 2, 1229, 13121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 12*o + 9*o + 149 - 147 - 5*o**2. Let y be j(4). Suppose -14*p + y*p + 48 = 0. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -901*v - 14598 + 398*v + 451*v + 14604.\nAnswer: -52*v + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 6:42 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -1. Let d be (-208)\/(-24)*(-18)\/(-4). Let l = d + -23. What is the remainder when v is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*p, 0*p - 17 = 3*p + 5*z. Which is smaller: p or 3\/28?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - 17. Let h be 30\/9*(-6)\/(-5). Suppose 0 = -3*w + 9, 4 = h*k - 4*w - x. What is the third smallest value in 4\/3, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 54 = -5*c. Suppose -c*d - 40 = -10*d. Calculate the remainder when d is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(3))*2 + (sqrt(3) + (sqrt(108))**2)*-2.\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1179 + -1178.5. Let z be 4\/1 - (-3)\/(-6)*-2. Which is the second smallest value? (a) -266 (b) -0.4 (c) z (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 178 - -406. Let u = t - 365. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 1032*v + 8156. What is s(8)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9417220543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 25*n + 6. Let b be r(6). Let k = b - 55. List the prime factors of k.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*x + 5*j, -2*j + 24 = 3*x - 5*j. Let a(t) be the second derivative of -t**5\/20 + 5*t**4\/12 + 5*t**2\/2 - 2*t. Determine a(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (56\/35)\/(2\/95). What is the second derivative of -3*v**2 - 20*v**2 - 54*v**2 - w*v wrt v?\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 322 - 802?\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 2. Let s be x(-1). Let b be 8\/(-20) - (-8)\/10. Which is bigger: s or b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2 - 228*a + 648. Let x(b) = 7*b**2 - 441*b + 1296. Let j(p) = 13*u(p) - 6*x(p). Find r, given that j(r) = 0.\nAnswer: -108, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 2*f**2 - 2*f + 5. Let c(j) = -1. Let x(w) = -1 - 2 - w + 9. Let m be x(5). Calculate m*i(v) + 5*c(v).\nAnswer: -v**3 + 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 4:15 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + 11. Suppose -91 = -4*v + x, 0 = -297*v + 293*v + 4*x + 76. Which is greater: d or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010961 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1339252220*s**5 - 21*s**2 + 2*s - 3973666?\nAnswer: -80355133200*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -10322 at most as big as -10322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + 3*(sqrt(768) + 2))**2 + 1.\nAnswer: 672*sqrt(3) + 6967","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2020, -2023, -2036, -2065, -2116?\nAnswer: -2195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24025059 a multiple of 1431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11180.768 + 10969. Let r = j - -212. What is r rounded to 2 decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70521 - -72174. Let o(f) = 14*f + 3. Let y be o(6). What is the highest common divisor of y and w?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -2. Let r = 18 - 37\/2. What is the closest to r in f, -1\/5, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 + 0)*(0*s - s - s) - 2*s + 0*s + 3*s + (9 - 9 + 3*s)*(-6 + 3 - 1) to k*s + y and give k.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49455)\/(-5040) + (-3)\/(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1796, -6, 53, 1, -2, -4, -3 in descending order.\nAnswer: 1796, 53, 1, -2, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**4*t**3 - l**2*t**3 - 3*l**2*t - 355*t**3 - t with respect to l.\nAnswer: 4*l**3*t**3 - 2*l*t**3 - 6*l*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(104) - (sqrt(104) + ((4*sqrt(104) + sqrt(104))*5 - sqrt(104)))))\/(1*4*sqrt(968)))**2.\nAnswer: 7488\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 17. Suppose a = -2*u - 10. Suppose -t = 3*h - 7, -t = -0*t - 4*h + 14. Put t, u, -1 in increasing order.\nAnswer: u, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)*-1*-4)\/sqrt(180) - (0 + (-2*sqrt(13)*4)**2 + 5)) + 1.\nAnswer: -836 + 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 11:21 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -0.1, -2\/7, 3\/14611?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 883824 is divided by 1759?\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113246 - -6.2937.\nAnswer: -113239.7063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 25*h - 150 = 0. Suppose 0 = p + h - 104. Does 51 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 94, -9, -0.4, 0.1, -1\/3 in descending order.\nAnswer: 94, 1, 0.1, -1\/3, -0.4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(3\/5)\/v)\/v**(-13) assuming v is positive.\nAnswer: v**(68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*d + 2*g - 6, -4 = 4*g. Let w(a) = a - 1. Let q be w(d). Solve 3*l + 6 = q, -5*y - 22 = 2*l - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 20*k**2 + 16*k + 17. Let c(i) = -7*i**2 - 5*i - 6. Give 17*c(s) + 6*v(s).\nAnswer: s**2 + 11*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 90601*w**5 - 272405*w**4 + 183009*w**3 - 1207*w**2 + 2*w = 0.\nAnswer: 0, 1\/301, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150593 is divided by 50188.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 41646229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v + 9. Let w be p(3). Let y = 10 + -6. Solve 2*b = w*l - y, 3*b + 4*l - 5 = -28 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + -2230321133?\nAnswer: -2230321110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 + -36. Suppose 0 = v*l - 25*l + 40. What is the greatest common factor of l and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2828*z**2 + 10626487 - 10626487 + 0*z**2 + 2*z**2 - z**2 + z**2 - 2*z + 2*z + (4*z**2 - z**2 - 4*z**2)*(1 + 0 - 3) as i + b*z + m*z**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*k - 12*k + 25*k)*(-27*k + 3*k + k) to u*k + f*k**2 + l and give f.\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 14*a. Let b(f) = -f**2 + f - 1. What is -2*b(s) + p(s)?\nAnswer: s**2 - 16*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -134\/35?\nAnswer: -134\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/9)\/g)**(2\/113)*(g**4)**17 assuming g is positive.\nAnswer: g**(69134\/1017)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((-3 - -2) + 2). Solve -2*j + 3 + 3 = n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19672*q*z**3 + q*z - 3*q + 145816*z**3 wrt q.\nAnswer: 19672*z**3 + z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 495 + 5852. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-90)\/75)\/((-4)\/10). Suppose 5*d - 17 = y. List the prime factors of d\/30 + (-118)\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2035054776 and 1068.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g - 2*g + 0*g)*(208 - 337 - 483 - 25) to q + x*g and give x.\nAnswer: 637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + 34. What is the remainder when c is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5273197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**5 + a**5 - 2*a**5)*(-2 + 2 + 2) + (-6*a**2 + 5*a**2 - 8*a**2)*(a**3 + a - a).\nAnswer: -11*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j - j = -80*j + 24300. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/837 and -58\/1132461.\nAnswer: 1132461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1652 - -1655. Solve p*o = -6, 2*i + 5 = -i - o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -115 - -192. Let n = 36 - 78. Let m = w + n. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21735*h + 21738*h = 204 for h.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -578659713*b**3 + 42*b**2 + 1410*b + 47 wrt b.\nAnswer: -3471958278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 549, 30, -2 in ascending order.\nAnswer: -3, -2, 30, 549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18914639, 37829254, 56743869, 75658484, 94573099?\n\"Answer: 18914615*a + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 211578 and 5728.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*c - 9588 = 24*c. Let l be (3\/5)\/((-1)\/(-5)). What is the common denominator of -63\/4 and l + (-1 - c\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186110 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1668*f + 1667*f = 5*t - 74 - 70, 0 = 2*f - 8 for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**5 - 41*d**3*m**2 - 3*d**2*m**2 - 13*d**2*m wrt d.\nAnswer: 60*d**2 - 246*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -348, -461, -642, -891, -1208?\n\"Answer: -34*w**2 - 11*w - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57 - 83. Let k = 26.1 + v. Let t = -1\/61 + 125\/183. Put k, t, 0.3 in increasing order.\nAnswer: k, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*1*sqrt(624))\/(6*sqrt(48)\/sqrt(4) - sqrt(12) - (-2*sqrt(120))\/sqrt(10)).\nAnswer: -6*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 4:10 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002999017 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125895*m - 4 + 5 - 1 + 2*m**2 + 125893*m.\nAnswer: 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*g + 29\/2*g**3 + 7\/4*g**4 + 163\/4*g**2 + 9 = 0. Calculate g.\nAnswer: -3, -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 6*z**2 + 1 + (-2*z**2 + 973*z + 1002*z - 2038*z)*(-3 + 2 - 3) + 3*z**2 - z**2 + 0*z**2 as a*z + q*z**2 + b and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -4011?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/67)\/z)\/z**38*z**(-20)*(z\/z**10*z)\/z*z assuming z is positive.\nAnswer: z**(-4487\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 173*s**4 - 533*s**4 + 128*s**4 + 11*s**4 + 5*s**4 + 4*s**4 + (3 - 2*s**4 - 3)*(4 - 1 - 2) as j*s**3 + k*s**2 + n*s**4 + b*s + c and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 54*s + 303. Determine h(-13).\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, 0.5, -4, -83, -1\/2 in decreasing order.\nAnswer: 0.5, -1\/2, -3, -4, -6, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 at most as big as 226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 131320150 to the nearest 100000.\nAnswer: 131300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 8820120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 28, 723 in descending order.\nAnswer: 723, 28, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrnr when four letters picked without replacement from {n: 4, r: 3, t: 1}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-140) - 4431\/(-10). Let g = x - 3549\/8. What is the common denominator of 23\/10 and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.5, -7, -3 in descending order.\nAnswer: 0.5, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4\/7)\/a**(1\/18) assuming a is positive.\nAnswer: a**(-79\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*a - 22. Let j = -204 + 290. Calculate the least common multiple of j - -1 - (-190)\/38 and a.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1125037\/56 - 20091. Calculate the common denominator of -65\/21 and k.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u + 20. Let m = 6 - 15. Let i be d(m). Suppose i*t + 24 - 60 = 0. Solve -3*r - t = 3*a, 5*r + 3*a = -12 - 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000 + 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 543.65 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -381515, -381536, -381583, -381668, -381803, -382000, -382271?\n\"Answer: -2*g**3 - g**2 - 4*g - 381508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -65*u**8\/7 + 7*u**4\/3 - u**3\/6 + 222*u. What is the third derivative of v(m) wrt m?\nAnswer: -62400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24655 is divided by 244?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -409 * 173.26\nAnswer: -70863.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4627 is divided by 204.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29952451183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1867 = 5*o - 6140, -2*w = -4*o + 3416. What are the prime factors of o?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 1 + n - 1. Suppose 0 = -h - 5*x - 11 + 57, -h = -2*x - 32. Let s(p) = h*p**2 + 34*p**2 - 52*p**2. Determine s(f(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2.7 (b) 5\/43 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 78*j + 220. Give d(-8).\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4420553 (base 8) to base 12\nAnswer: 49374b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d**2 - d**2 + 3*d**2 - 4*d**2 + 2*d**3 in the form n*d**3 + q*d + t + p*d**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 19. Let a = 142 + -32. Let y = 131 - a. Does 26 divide j(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, 0.4, 0.06, -3, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b + 52. Let t be (141\/(-18) - (-2)\/(-12))*-1. Calculate the remainder when 57 is divided by l(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50\/77 + 4\/11. Let i = -0.1 + 0. Which is the biggest value? (a) i (b) -0.4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (0 + 9 - 6) - -28.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2030 = 7*p - 8841. Suppose p = 18*i + 289. What is the remainder when 47 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 107? (a) 4 (b) 1\/5 (c) 354\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302752*t**2 - 65112*t**2 + 683279*t**2 + 315334*t**2 + 385227*t**2.\nAnswer: 1015976*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 10*a + 4. Let r be (1 + 1)\/(10\/15). Calculate the least common multiple of t(r) and 8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 102?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 + 21986148*q + 65958417.\nAnswer: 3*(q + 3)*(q + 7328713)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*i + 3*g, 0 = -4*i - g + 2*g + 7. Solve 0 = -b + i*n + 3, -4*b = -2*n - 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 10. Let h be y(-5). Suppose -h*i = -2*u, 2*i - 5*u = -i - 19. Let g = i - 1. Is g greater than or equal to 4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2\/2 + 15*x - 31\/2 = 0 for x.\nAnswer: -31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -2*i**3\/3 + 33*i**2\/2 + 19*i - 9. Let s be x(17). Let w(f) = 2*f**2 - 3*f + 3. Calculate w(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*d**6*f**2 + 3*d**3*f**3 - 4*d**2*f - 80*d + 8*f**3 wrt d?\nAnswer: -3720*d**3*f**2 + 18*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -h**3\/3 - 5*h. Let t(f) = -4*f. Give t(a(c)).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z = 22*z - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4766617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 14*j + 20 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-35) + (-6)\/21. Solve -o - 1 = -j*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hz when two letters picked without replacement from {i: 4, h: 2, z: 5, o: 1, b: 4}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 3*w**2 - 27*w + 104. Let c be s(7). Is 116 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/4)\/(-4 + (-23)\/(-6)). Let f(j) be the first derivative of -2 + 0*j**c - j**2 + 0*j**4 + 0*j + 1\/5*j**5. Find the second derivative of f(l) wrt l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 75?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-44*5\/(-10)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 763256 = -2950*w - 6219*w + 112257 for w.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 81, 129, 181, 237, 297?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-108))\/((-135)\/810)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 295 = 125. Suppose -5*r = -10, -4*l - 14 = 2*r - x. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 bigger than 3797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**3 + 7*c**2 - 61*c - 3. Calculate the remainder when 603 is divided by d(4).\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1563834 and 3.\nAnswer: 1563834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*f - 488, i = 4*i + 5*f + 379. Suppose -w + 67 - 339 = 0. Let m = i - w. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 3, -2478\/55, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 6*r**2 + 2090*r - 12491. Calculate h(6).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -6 (b) 0.4 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*h + 3, -5*a - 5*h = -4 - 1. Let z be 18\/(-12)*-1 - (-6)\/4. Let w(g) = -20*g + 2 - 3*g**3 + 8*g - 4*g**2 + 4*g**z + 5*g. What is w(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 341262662*r**3 + 123*r**2 - 9*r + 34330.\nAnswer: 2047575972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)*a)**(5\/2)\/((a*a**6\/a)\/a**(2\/9)) assuming a is positive.\nAnswer: a**(-52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*o - 32 = -2*c, -15 = 5*o. What is the remainder when c is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2869 divided by -19?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(2) + (sqrt(5) - ((sqrt(20)\/sqrt(4) - sqrt(5)) + sqrt(5))) + -4)**2 + (sqrt(5) + sqrt(45))**2 + 3 + -2*sqrt(5) + -5 + sqrt(5).\nAnswer: -25*sqrt(5) + 139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/148 and -61\/1036.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.39 - 2.39. Which is the closest to r? (a) -2 (b) -1\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 - 38 - 24 - (1 - 1 - 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 604 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.018287 to three decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67*(-3 - 104\/(-36)) and -17\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*i**3*n*r**3 + 2*i**3 + i*n*r - 60*i*r**3 - n*r**3 wrt n?\nAnswer: -17*i**3*r**3 + i*r - r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, p: 9}. Give prob of picking 2 p.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -19*x - 4. Let n(g) = -38*g - 7. What is 6*n(i) - 11*u(i)?\nAnswer: -19*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40790*q - 5909 = 40981*q - 16032 for q.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 8*d. Let t(c) be the first derivative of 7*c**3\/6 - 3*c + 3. Let h(u) be the first derivative of t(u). What is -7*h(k) + 6*o(k)?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(-25) + 5304\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 378 and 213801?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 451*l**4 - 40*l**2 - 1.\nAnswer: 10824*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-3)\/(-2))*1014\/4732.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*a**2\/11 + 752*a\/11 + 4418\/11.\nAnswer: 2*(4*a + 47)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 37, 82, 157, 268, 421, 622?\n\"Answer: p**3 + 9*p**2 + 11*p + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a milligram in micrograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 181200308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 192*p**2 + 90*p + 18. Let w be l(14). Let z = w + -26813. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 16*w + 33. Let i be j(-14). Let x(h) = h**3 - 6*h**2 + 5*h - 6. What is x(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -6.79096.\nAnswer: -27.16384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**4 + 5*t**4 - 5*t**4 + (3*t + 2*t - 2*t)*(t - 3*t**3 - t) to u + z*t**4 + w*t**2 + i*t**3 + c*t and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**3 - m**2 + m - 1. Let n be i(1). Suppose 4*s + 3 = 3*s. Let j = 3 + s. Solve -10 = 4*p - d, 5*d + j = 3*p - n for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 112 = 4*r - 3*o, 2*o + 17032 - 17504 = 15*r for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 180577038.\nAnswer: 541731114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -1059*z - 39205. Give r(-37).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 4*i**2 + i - 3. Let j be (10\/2)\/(1\/(-1)). List the prime factors of s(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -2. Suppose -y = -n*y + 9. What is the third derivative of -2*a**2 - 2*a**4 + y*a**4 + 11*a**2 wrt a?\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s - 5*s**2 - 2 - 2 + 5 + 2*s**2. Let b be k(-3). What is the tens digit of ((-12)\/(-14))\/((-1)\/b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/18 + (-38)\/(-12). Suppose 7 = -5*w - x. Let n be ((-440)\/(-4))\/(w\/(-14)). What is n rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 162 and 216.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -11*c**2 + 6*c. Let y(q) = 5*q**2 - 3*q. Suppose -3*o = -5*i + 34, -4*o - 9*i = -5*i + 56. Determine o*y(k) - 6*s(k).\nAnswer: k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - (-19 + 11))\/1. Find y, given that y**u - 1\/2 - 1\/4*y**5 + 5\/4*y - 1\/2*y**2 - y**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1.7, -0.127, -3\/5, -3, 0.4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 64.814 to the nearest integer.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 15 = -13. Suppose -5*r - c = -172. List the prime factors of r.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429574 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*y**2 + 174*y - 178*y + 41*y**2 to the form c*y + d + n*y**2 and give n.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -115 - -143. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215923469 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -26362 divided by -4897?\nAnswer: 26362\/4897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*x**3 + 72*x**3 + 4 - 51*x**2 - 35*x**3 + 53*x**2 to l*x**2 + z + q*x + j*x**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 917, -0.098214, 1\/4 in decreasing order.\nAnswer: 917, 1\/4, -0.098214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2 + 41*r + 17. What is the units digit of c(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (18\/70 - 6\/15). Which is the closest to 0? (a) -3\/2 (b) 1\/4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-3 - -1) - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, v: 1, c: 1, h: 1, o: 1}. What is prob of sequence vz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -4441553.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 524\/10 - 4\/10. Let m(l) = -316*l + 1031. Let x be m(3). Suppose x = 5*j - b. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 930*n**3 - 4*n**2 + 25*n - 21. Calculate h(1).\nAnswer: 930","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.685 + -0.315. What is the third biggest value in 2, -5, k, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -452952.95 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**1*k**(-2\/5)*k*k*k**(-2)*k**6 assuming k is positive.\nAnswer: k**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 224, 451, 678, 905, 1132?\n\"Answer: 227*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42953 + -10926. What is the hundreds digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20*(0 + (-6)\/(-15)). Let z(v) = -v + 14. Calculate the lowest common multiple of 7 and z(f).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 0*m + 1\/80*m**6 + 1\/60*m**5 + 1\/420*m**7 + 0*m**4 + 0*m**3 + 16*m**2 + 0. Suppose z(u) = 0. What is u?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 192, 1617, 5508, 13101, 25632, 44337?\n\"Answer: 206*c**3 - 3*c**2 - 8*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 30*d - 76. Let v be z(4). Let k = -2 + 7. Suppose v = k*j - j. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 + 8*o**2 - o + 2. Let p be a(4). Let t(w) = w**3 + 7*w**2 + 7*w + 6. Let g be t(-6). Let s be g\/(-5)*p\/(-4). Are 2\/21 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36638 and 84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47201116 is divided by 6819.\nAnswer: 6817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven fifteenths of a century?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1768, -3265, -4488, -5431, -6088, -6453, -6520?\nAnswer: -6283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 835*z. Let r(y) = -y. Determine x(r(u)).\nAnswer: -835*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2345 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.071647*10.\nAnswer: -0.71647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -981.13 - 10.87. Let x = 991.98878 + i. What is x rounded to four decimal places?\nAnswer: -0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62480 is divided by 298?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 18 and -44649 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*s + 9*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1512050787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 - 0.5. Let q = 1.5 - 0.9. Let p = s + q. Which is the closest to -2? (a) -2\/11 (b) 3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 456\/77 + -62\/11. Determine x so that -2\/7 - 4\/7*x - m*x**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10876763 is divided by 4832?\nAnswer: 4763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0*u + 105 = 0. Calculate the least common multiple of 1\/((-3)\/u - 0) and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 316798 and 3618262.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -53, -289, -825, -1781, -3277, -5433, -8369?\nAnswer: -12205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54554 and 2?\nAnswer: 54554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 28796*q - 345507. Determine o(12).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + -1)*(3 - 1). Let x be (0 + 0)*c\/(-12). Let q be (-1)\/(0 - (-18)\/8). Which is greater: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*w + 0*w - 4*w + (w + w - w)*(0 + 1 + 1) - 64*w + 24*w - 35*w - 3*w + 0*w + 4*w.\nAnswer: -68*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 384271 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 0*v + 0 - 131*v**2 + 205\/6*v**3 + 277\/24*v**4. Differentiate l(z) wrt z.\nAnswer: 277","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -46*h**7\/7 - h**6\/120 + 1291*h**3\/6 - 1889*h**2. Differentiate x(w) with respect to w.\nAnswer: -5520*w**3 - 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 0. Let f(j) = 18*j**3 - 6*j**2 + 2*j - 5. Let i(m) = -6*m**3 + 2*m**2 - m + 2. Let y(z) = 4*f(z) + 11*i(z). Does 36 divide y(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 9 + 1)*(-8 - 3 + 13)*(2*a**3 + a**3 - a**3) in the form c*a**3 + y*a + d + p*a**2 and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79677 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 2 + (-5 - -3) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29\/60 in 4, 110, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkddkjkddkojdkdkkdk. What is prob of picking 3 d?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4683795 times -6?\nAnswer: 28102770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*s - 3*x + 3, -4*x - 2 = 2*s. Calculate the common denominator of -49\/48 and (-28)\/(-16)*((-14)\/16 + s).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 5:18 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6, 2\/3, 1, 2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3524988?\nAnswer: 2, 3, 293749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161, -1332, -4099, -9128, -17085, -28636, -44447, -65184?\nAnswer: -91513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5408 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/8)\/((-1)\/4). Let b(u) = 25*u - 14. Let o(v) = v + 1. Let w(f) = y*b(f) + 3*o(f). Is 15 a factor of w(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/15140 and -51\/40.\nAnswer: 30280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbnk when four letters picked without replacement from bxxkxkxkxkmqqqxbnbn?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 528\/(-14) - (-6)\/(-21). Suppose 0 = -5*n - 427 + 157. Let i = o - n. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3456*s + 3456*s + 3 - 3 - 14*s**2.\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 4340 = 1100. What are the prime factors of v?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o**2 + 6*o - 29. Let u(c) = 7*c**2 - 7*c + 56. What is -5*f(h) - 3*u(h)?\nAnswer: -h**2 - 9*h - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40*m**2*t + 11*m**2*z**2 + 37*m**2 + 3*m*t*z**3 + 3*t*z wrt z.\nAnswer: 22*m**2*z + 9*m*t*z**2 + 3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kap when three letters picked without replacement from aktap?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 746470507?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 30, 3 in decreasing order.\nAnswer: 30, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -13*m + 2 + 7*m**2 + 5\/6*m**3. Let i(d) be the first derivative of v(d). What is the derivative of i(u) wrt u?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -87, -137, -203, -291, -407, -557, -747?\nAnswer: -983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 95 = -5*o, -3*o - 10 = 5. What is the greatest common divisor of a and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*w + 5. Let i(u) = w*u + 2*u + u - 3 - 4*u. Determine i(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/15)\/1 + (-180)\/(-450).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 49, 24124, 4, 5 in increasing order.\nAnswer: 3, 4, 5, 49, 24124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 3, 2 in descending order.\nAnswer: 3, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 2*c + 3. Let d be m(3). Let v = d - 1. Which is smaller: v or -2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 223 - 183. Is 41 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2182.0889 + 2182. Let x = 0.082 + b. What is x rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 173 + 35. Suppose f = o + 5*n, 2*n = 2*o + 2*o - 766. What is o rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*t = -24*t + 450. Sort -20, -3, t, 9 in ascending order.\nAnswer: -20, t, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 13*x**2 - 18*x - 184. Determine u(15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/(-1 - 96\/(-92)) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = b - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14119 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 p, and 1 i when four letters picked without replacement from prprrriirrpr.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -847 in 0.1, -0.4, 4\/5, -6\/17, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 g when two letters picked without replacement from kgfgkfgkxgf?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/28998 smaller than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-24)\/60)\/(1\/23)?\nAnswer: 46\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 801556 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 3 - 7. Suppose 0 = 3*n - 0*n, -2*l = 2*n - 8. Suppose -5*m = -2*r - 1, t*r - 13 = l*m + 5*r. Sort 1\/8, m, -1\/2 in decreasing order.\nAnswer: 1\/8, -1\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -15*a**2 + 4*a - 3. Let t(w) = 14*w**2 - 5*w + 2. Let x(l) = -2*r(l) - 3*t(l). Let p(k) = k. Determine x(p(i)).\nAnswer: -12*i**2 + 7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6421226\/292 + 9\/2?\nAnswer: 5, 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 46 = -3*j, -a - 6 = -2*a + 2*j. Let u(y) = -2*y + 65. Let n be u(20). What is the greatest common divisor of a and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -23*w + 20*w**2 + w**3 - 26 - 30*w**2 + 13*w. What is a(11)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (3 + 2*(sqrt(684) + 3 + sqrt(684)*-2)*1 + 2)*-2)**2.\nAnswer: -1296*sqrt(19) + 11673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-30))\/((-2)\/84). Let m(x) = x**3 - x**2 - 5*x - 7. Let v be m(3). Is j equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -26\/223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2. Let u(h) = -2. Let n(b) = b - 9. Let g = 4 - 13. Let j(r) = g*u(r) + 2*n(r). What is j(d(p))?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (76\/285)\/((-4)\/6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -6*v - 63. Let x be (3 + 0)*(-28)\/v. Is -1*22\/x*-2 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 uutptutuu. What is prob of picking 3 u?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 74700205 to the power of 1\/3, to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14277*0.08\nAnswer: 1142.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -96*p - 1825. Determine d(-19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*u, 5*u = 6 + 9. Let w = 4 + p. Suppose -w*r - 8 = 3*f, -2*f = -7*f - 20. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55 + -13. Let j = d - 10. Calculate the greatest common factor of 256 and j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 810118686.\nAnswer: 2, 3, 13, 10386137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4996 = 326*i + 9264 - 4692 + 6406 for i.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-7 - (-1 - (-2 - 4)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 2 - 10 - 17.\nAnswer: -h - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 5*x**2 + 4*x - 3. What is n(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 276\/5*w**3 - 2\/5*w**4 - 12258\/5*w**2 + 188784\/5*w - 935712\/5.\nAnswer: -2*(w - 57)**2*(w - 12)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 227 = -x, w + 701 = -3*x + 2*w. Let q = x + 1176\/5. What is the third smallest value in -0.5, 6\/5, q?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-9) - 1935\/1620?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 488298694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 4*h**2 - 5*h + 4. Let o be z(5). What is the units digit of (-4 + o)\/3 - -36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4254*d**2 + 2133*d**2 + 2126*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -196, -394, -586, -766, -928, -1066, -1174, -1246?\nAnswer: -1276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 2*h - 4. Let k be y(6). Suppose 0 = -4*n - 2*d + 80, 0*d = n - d - k. Calculate the smallest common multiple of 8 and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1442 + 1445. Let m be ((-2)\/4)\/(1\/2). Put n, -1\/5, 1\/4, m in decreasing order.\nAnswer: n, 1\/4, -1\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194 - 91 + 4*z - 99.\nAnswer: 4*z + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*t - 4*r + 16 = 0, 0 = 3*t + r - 4. Let y = t - 4. Is 9\/(-6)*-58 - y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45000 to the nearest 1000.\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 48.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 29 (b) -0.1 (c) -1.1 (d) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3690237 minus -0.09844?\nAnswer: -3690236.90156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17803 rounded to three decimal places?\nAnswer: 0.178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/9 and 2\/(-5) - (-4131)\/(-360)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 4*s = -28, 216*y - 212*y + 20 = -2*s for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**3 - 6*k**3 + 6*k**3)*(-199 + 332 - 133 + 3905*k).\nAnswer: 19525*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, -26, -176, -456, -908, -1574?\nAnswer: -2496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1976968\/237 - -31734\/79. Let s = 8655 - t. Let n = -89 - s. Which is the third smallest value? (a) 5 (b) n (c) -0.4 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/127044 and 16\/8797797?\nAnswer: 35191188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8074349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) -2 (b) -9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3744520 (base 8) to base 11.\nAnswer: -647324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrrrwrwwrrwr. Give prob of picking 1 r and 2 w.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/4986168 and -53\/879912.\nAnswer: 14958504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -689a (base 13) to base 14\nAnswer: -54b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 76224 + 201?\nAnswer: 76425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(9\/2)\/a**(-20) assuming a is positive.\nAnswer: a**(49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 7 = -3*k. Suppose -25 = 3*m + 2*f, k*f - 5*f - 11 = m. Let y(u) = u**3 + 7*u**2 - 2*u - 10. Let i be y(m). Solve i*a + a + 25 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 8*x**2 + 13*x**2 - 4 - 5*x. Does 44 divide q(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 6*q - 5. Let s be r(2). Let d(k) = -k - 4*k - k + s*k. Let t(v) = -8*v. Suppose 0 = -2*f + 12 - 0. Calculate f*d(l) + t(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -13*d**2 + 2*d - 8. Let k(c) = -71*c**2 + 11*c - 44. Let m(j) = 11*a(j) - 2*k(j). Let o(t) = -1303*t**2. Give m(o(g)).\nAnswer: -1697809*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-6)\/2)\/(-306)*(-645)\/50 and 97\/238.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79061 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2328 or -451?\nAnswer: -451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h\/h**(-6)*h)\/h)**(-16\/9)\/(h\/(h\/(h*h**8)*h)*(h*h**(-1\/7))\/h))**(-6\/11) assuming h is positive.\nAnswer: h**(2782\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(300))\/sqrt(6) - sqrt(50) - sqrt(400)\/(sqrt(8) - (sqrt(8)*-2 - sqrt(8))))**2 + 1)*1.\nAnswer: 233\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2*p + 42, -110 = -6*y + 3*y - 2*p. Suppose -3*h + 21 = -h - 3*f, -h + 4*f = -23. Let r = y - h. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 0.0566 (c) 0 (d) -2.5 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g + 4 - 12 + 2)*(2*g**2 - 4*g**2 - 5*g**2) + (-g + 2*g**2 + g)*(-5*g + 5*g + g) to the form c*g**2 + q*g + f + j*g**3 and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 6:46 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 262680 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 43*a**2 + 25*a + 5670. Calculate b(-40).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, l: 3, j: 5, c: 11}. What is prob of picking 1 l and 3 c?\nAnswer: 33\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27341.125 rounded to the nearest ten?\nAnswer: 27340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 4)*(d + 4*d - 23*d + 2 - 2 - d + (3*d - 3*d + 2*d)*(1 + 1 - 3) + 0*d - d + 0*d - 9*d + 4*d + d) to the form j*d + p and give j.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 1. Let u = n + -12. Is u bigger than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1847*u**2 - 9 - 2700*u**2 + 9 to x*u**2 + l*u + c and give x.\nAnswer: -853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 + 3*m + 2. Let s(j) = 3*j**3 - 2*j**3 + 3*j**2 + 0*j**3 - 1 - j. What is the smallest common multiple of l(-2) and s(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 29\/290*-1 - 6\/40. Which is the closest to -6? (a) -19 (b) 3 (c) -0.2 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 0.1 (c) -0.034 (d) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2. Let t(o) be the first derivative of -5\/2*o**2 + 0*o - 11. Calculate t(k(m)).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1756*g**3 - 4*g - 580*g**3 + 7*g - 4*g - 408*g**3 in the form q + s*g**3 + f*g + c*g**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -275, -329, -483, -791, -1307?\nAnswer: -2085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-48)\/(-8)) + (-18)\/(-3)*1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y. Let u(t) = -64*t. Let o(h) = 3839*h. Let b(w) = 2*o(w) + 121*u(w). Determine b(x(d)).\nAnswer: -198*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*s + 143*s = 95*s - 276 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64665*d - 2*d**2 - 528 - 64663*d - 1213*d**3 + 2*d**2 + 4078*d**3 wrt d.\nAnswer: 17190*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(2\/17)*y**(1\/13)\/y*y)**(4\/3))**(-6\/11))**(1\/33) assuming y is positive.\nAnswer: y**(-344\/80223)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 0.07 (c) 4\/3 (d) 3 (e) -139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32787 and 459018?\nAnswer: 459018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*f**2 - 5*f**2 + 5*f**2)*(3*f**2 + 2*f**2 + 3*f**2) + 0*f - 4*f**4 + 0*f as r*f**2 + k*f**4 + x*f + w*f**3 + m and give k.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**3 + 19*h**2 + 17*h + 81. Let w be k(-9). Which is the closest to -1\/12? (a) w (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-23)\/138 + 1\/6*25. Solve b + p = 2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + 6806873 + 8*s - 3*s - 6806875.\nAnswer: 7*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -105.103 to the nearest integer.\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 7:13 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3559799*g*p**3 + 1688*g*p**2 + 97148*g - 24*p**6 - 3 wrt p.\nAnswer: -21358794*g - 2880*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*b - 2138 = 5*n - 1746, 2*n + b - 28 - 9 = 0 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -615349*d**6 + 2*d**4*n**2 - 618*d**2 - 16*d*n**2 - n**2 + 2 wrt d?\nAnswer: -73841880*d**3 + 48*d*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -7 - 2. Let k(m) = -5*m**2 + 48*m + 91. Let d be k(11). Solve 34 = 5*c + 3*i, 2*c + l*i - 5 = d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h - 3*h - 3 + 3*h. Let d(y) = 2*y + 4. Suppose m - 3 - 16 = 0. Suppose 21 + 5 = 4*o - 3*v, -5*o - 3*v + m = 0. Calculate o*d(b) + 6*k(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x - c = 288, -x + 4*c = -87. Let a = 71 - x. Suppose -3*u = 12, 0 = 2*l - l - 3*u - 13. Solve a = -2*m - 9 - l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -510 - -515. What is the nearest to 4 in n, -1, 2\/13?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10940 or -10942?\nAnswer: -10942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -563040*h**2 + 37*h + 185. Let f be n(-5). Round f to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 11 - 1. Let j = 1 - y. Let i = 5 + 0. Does i = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134525632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 805911 and 2955007.\nAnswer: 8865021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (4*sqrt(96)*-2)\/sqrt(12))*-6.\nAnswer: -18 + 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 2319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 10 = 3*d. Let w = 6 + -16. Let s be ((-2)\/18)\/(w\/(-12)). Which is the smallest value? (a) d (b) -1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2910)\/(-570) - (-12)\/(-114).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * 424\nAnswer: -25.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -574, 2, 5, -71, -1.\nAnswer: -574, -71, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + -14 - (2 + -5)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2 - 3 = 0, 250 = 5*k + g. Let l = -21 + 24. Suppose 3*f - l*x - k = 0, 3*f + 4*x - 35 - 37 = 0. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*n - 106 = -7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -8) + -7 - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 58*h**2 + 691*h + 249. Determine i(41).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4708064911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1074963354.\nAnswer: 2, 3, 8861, 20219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 802*f - 70862 + 15524 = 0 for f.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 12:52 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003050141 rounded to 5 decimal places?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 5. Factor 2*d**4 - 4*d**4 + m*d + 4 + 6*d**3 - 2*d**2 - 10*d.\nAnswer: -2*(d - 2)*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -23, -18, 1, -5 in descending order.\nAnswer: 1, 0, -5, -18, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.67 + 0.4. Let j = -1.13 + h. Let z = 0.6 - j. Are 7 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 97*w + 10 - 97*w + w**2 + (0 + 0 - w)*(-1 - w + 4 - 9).\nAnswer: 2*w**2 + 6*w + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-3))\/(55\/(-165))*18\/2\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -756\/5 - 66\/5*q**2 + 477\/5*q - 3\/5*q**3.\nAnswer: -3*(q - 3)**2*(q + 28)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 11:04 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -271*i**6 + 2*i**2 - 52*i wrt i?\nAnswer: -32520*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15434 + 15692. Solve 0 = 88*k - 2*k + o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 42 (b) 0.23 (c) 0.1 (d) 2\/3 (e) 397\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**2 + 287*r - 287*r.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3248778 and 1092.\nAnswer: 45482892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of 1\/30*b**4 + 0*b**3 - 3*b**2 + 0 + 3\/350*b**7 + 0*b - 2\/75*b**5 - 1\/200*b**6. Factor k(w).\nAnswer: w*(w + 1)*(3*w - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 11. Let h = d + -25\/4. Let z = 0.3 + -0.4. Which is the nearest to z? (a) 1\/2 (b) h (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2705 - 1550 = -55*j for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 - (74 - 70)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 86*r**2 - r**5 - 3181*r + 3181*r + (3*r - 5*r + 0*r)*(-3*r**4 - 5*r**4 + 4*r**4).\nAnswer: 7*r**5 + 86*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 + u. Let b(h) = -h**2 + 0*h + 0*h. Let r = 33 - 37. What is r*b(y) + m(y)?\nAnswer: 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/65720448 and -73\/30.\nAnswer: 328602240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*b = 46*b - 38. Suppose -4*y + 85 + b = 0. Let i = y - -1. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - -26. Suppose -n - 7 = -s. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lbq when three letters picked without replacement from {l: 1, k: 2, m: 3, q: 1, b: 3}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkckvvvkccckvkv. What is prob of sequence vvc?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 9*f - 111. Let g be n(16). What is the highest common factor of 187 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65200\/11410)\/(4\/(-77)).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155669?\nAnswer: 17, 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6327 - 6327. Let y be 2\/(-40) + 3\/12. Find r, given that -2\/5*r + n - y*r**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*c + 2*c - 122427, 5*c + m = 152997. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348 = 5*k - 2. Suppose -k + 25 = -3*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -1. Let w = t - -16. Calculate the greatest common divisor of 2 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klnlyqlqykqlsqq. Give prob of picking 1 l and 1 s.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 81, 158, 233, 306, 377, 446?\n\"Answer: -o**2 + 80*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76119196 - 139*i - 76119196.\nAnswer: -139*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1934310 is divided by 149?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/17*1*-2. Let k = 13 + -17. Which is the smallest value? (a) k (b) -5\/6 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 6*h - 20. Let r(n) = -5*n**2 + 15*n + 6*n**2 + 9 + 0*n**2. Let d be r(-14). Let j(p) = -2*p + 7. Determine d*w(y) - 14*j(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 134*r**2 - 86*r**2 - 96*r**2)*(2*r**3 + 27 - 27).\nAnswer: -96*r**5 - 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaz when three letters picked without replacement from zzzzzaaazazzaaaz?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*r + d + 3*d, r - 2*d = 14 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-6 - 2) - -3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zgzfiigue. What is prob of sequence ufez?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 8. Suppose 896 = -m*n - n + p, 5*n - 4*p = -884. What is n rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 9 + 56 = -3*f, -3*f = 15. Let x be (1\/(12\/m))\/(4\/96). Let d = -2 + 4. Calculate the greatest common factor of d and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 91500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 773, 1553, 2351, 3179, 4049, 4973?\n\"Answer: 2*y**3 - 3*y**2 + 775*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2771393, -2771406, -2771419, -2771432, -2771445, -2771458?\n\"Answer: -13*v - 2771380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - -495684.56725?\nAnswer: 495685.06725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2445*r**2 - 2*r + 15. Let m be q(10). Let f = m - -1231003\/5. Let c = f - 1688. Find the common denominator of 37\/2 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50\/2969 >= -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1520540258.\nAnswer: 2, 23, 89, 137, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -50ae4 (base 15) in base 2?\nAnswer: -111110011001100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 8:42 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -81656173 or -81656172?\nAnswer: -81656172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 h when three letters picked without replacement from vvhrvhhvvrh.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421 is divided by 132.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 3*v + 18, -5*v = 3*x + 10 + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22054 is divided by 71.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*k - 118273 = 0, -4*k - 4 = -4. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -55, -69, -83?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.12, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 297353 - 1970353. Round q to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05 + 3.05. Let f = -1.5 + -0.5. Which is the second biggest value? (a) 2 (b) f (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**7\/5040 - x**5\/60 - x**2. Let q(f) be the third derivative of o(f). Let b(c) = 2 + 3*c - 5*c - 2. Calculate b(q(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2593408 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 18*d**2 + 65*d + 183. What is v(-16)?\nAnswer: 3751","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*-6*sqrt(10) - sqrt(10))\/(sqrt(162) - (sqrt(162) - (sqrt(162) + sqrt(162)*-2 - sqrt(162)) - sqrt(162))).\nAnswer: 31*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 4488*d**3 - 3*d + 1128*d**3 + 1118*d**3 + 1120*d**3 + 1127*d**3.\nAnswer: 5*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2432703 or -2432704?\nAnswer: -2432704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*v + 3*v + 8. Let h(u) = 4*u + 33. Let n = 101 - 106. Let w be h(n). Solve -v + w = 3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 4*g**2 + 125*g + 213. Calculate z(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 5, 8414 in decreasing order.\nAnswer: 8414, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*0*(-4)\/(-12). Let s(p) be the second derivative of 0 + 1\/2*p**2 + 2*p + m*p**3 + 0*p**4 - 1\/10*p**5. Find the first derivative of s(b) wrt b.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7293*w**3 - 7289*w**3 + 14577*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 322*z**2 - 322*z**2 + 10*z**3 + (-2 + 2 - z)*(-z + z + 2*z**2).\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - p + 26, 98*p - 96*p = 5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036 a factor of 292280223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 8 = -x. What is the greatest common divisor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -30*f**2. Let k(h) = 5*h + 59 + 7 - 73 + 11 + 7. Calculate k(p(l)).\nAnswer: -150*l**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 62470337 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1383096 divided by -88.\nAnswer: 15717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**7\/2100 + 7*f**6\/1200 - 3*f**5\/200 - 9*f**4\/80 + 9*f**3\/10 + 5*f**2 + 6. Factor c(o).\nAnswer: -(o - 3)**3*(o + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 + 2*d - 9. Let j = -9 - -18. Let f be k(j). Does 14 divide f\/(-12) + 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 + -1 + -13 - (-195 - -185).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (42\/(-15))\/(4\/10) + -2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b. Let s(y) = 5*y. Let l(k) = -35*k. Let o(m) = 3*l(m) + 20*s(m). Let r(n) = n. Let g(f) = o(f) + 6*r(f). Determine j(g(p)).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 9:03 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**5\/3 - 5*p**3\/3 = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3 = z, -5*d = -7*z + 10*z - 16. What is the remainder when z is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**5 + 86878*i**4 + 408118*i.\nAnswer: -60*i**3 + 1042536*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1, 2, -51, 1 in descending order.\nAnswer: 2, 1, -1, -9, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 30080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 58034895*j**3 - 5061677?\nAnswer: 174104685*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4 - 2*y + 4*y**2 - 4*y**2 - y**2 + 2. Give r(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -16e?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -47.78\nAnswer: 4.778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1474 and 138?\nAnswer: 101706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 38420 to the nearest 1000.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-20 - -17) - -15?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 736 = -1222. Calculate the remainder when q is divided by 75.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h = 39*h - 54. Let f(c) = -2*c**3 + 6*c**2 + c + 6. Give f(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -134 + 187. What are the prime factors of g?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 116062 and 3.\nAnswer: 348186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 9086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -148 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 4*a**2 - 18464*a + 21307456 = 0.\nAnswer: 2308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1290 and 985990.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**3\/3 - 29*r**2\/2 - 24*r. Let p(z) = -2*z**2. Give p(h(s)).\nAnswer: -8*s**2 + 232*s - 1682","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4788 - 22338 = 0. Round m to the nearest 100.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3885413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 10 = 3*r - 5*r, -10 = -2*u - 2*r. Suppose u = 4*m - 35 - 29. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwowmmmmwm. What is prob of picking 1 o and 1 x?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-23)\/a*a**(-22) assuming a is positive.\nAnswer: a**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5917*q**2 - 9*q - 3. Suppose 0 = -2*s + 4*y - 22, -y + 2 = 7*s - 4*s. Is p(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 32\/5 - 86\/5*m**3 - 112\/5*m + 22\/5*m**4 + 146\/5*m**2 - 2\/5*m**5 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -46? (a) -4 (b) 66 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 - -46. Calculate the least common multiple of t and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13 + 162*l**3 - 84 - 2502*l**2 + 32 + 3 + 1088*l - 58.\nAnswer: 2*(l - 15)*(9*l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/25)*x**(12\/11)*x)\/(x*x**(-12)*x\/x**(-16)))**(-38) assuming x is positive.\nAnswer: x**(40432\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 730 a factor of 3132430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0. Let w(q) = -2*q**2 - 5*q + 2. Let c(t) be the first derivative of t**2\/2 - t + 14098. Determine s*w(r) - 5*c(r).\nAnswer: 2*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.2 - 184.2. Let q = l + 181.09. What is q rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -5*v**3 - 2*v**2 - 9*v. Let j(r) = 15*r**3 + 6*r**2 + 26*r. Let x(w) = -3*j(w) - 8*n(w). What is the units digit of x(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -89*n**6\/40 + 205*n**3\/6 + n**2 - 35*n. What is the derivative of y(r) wrt r?\nAnswer: -801*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 14178\/15667?\nAnswer: 14178\/15667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 17 = 21. Let s(o) = -o - 15. Let w(x) = -2*x - 16. Let d(g) = -4*s(g) + 3*w(g). Let y be d(8). Sort y, 0, k in descending order.\nAnswer: 0, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3967, 3977, 4001, 4045, 4115, 4217?\n\"Answer: a**3 + a**2 + 3965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -597 - -289. Let v = 268.16338 - -39.83408. Let r = v + a. Round r to 4 decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 divided by 156575?\nAnswer: 44\/31315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -37.7 and 1.1195.\nAnswer: -42.20515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 25.\nAnswer: -7\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11921339 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 123430.64*0.1\nAnswer: 12343.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*r - 83. Let m = r + -26. Solve -6*g - 4*c = -g + 29, -11 = m*g + c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -99180, -198386, -297594, -396804, -496016, -595230, -694446?\n\"Answer: -r**2 - 99203*r + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4 - 12*i**3 + 12*i**2.\nAnswer: 3*i**2*(i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6769 - -6823 - (-17 + 1)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -346839?\nAnswer: -69367.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 4. Let k(j) be the third derivative of j**6\/60 + 7*j**4\/24 - 7*j**3\/6 + 2*j**2 - 2. Let l(r) = -r**3 - 3*r + 3. Determine t*k(a) - 14*l(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 2:08 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2 + 3*x + 5. Let a(h) = -h**2 + 1. Let p be a(0). Let k(t) = 5*t**3 - 1. Let z be k(p). Is j(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36321 or 36554?\nAnswer: 36321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73694845?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(1575\/(-36))\/25.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4590*b + 5349*b - 8349 = 0 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*(1*(sqrt(10) - sqrt(90)))\/(sqrt(605) + sqrt(605) + (1*sqrt(605) + sqrt(605) + sqrt(605) + sqrt(605) - sqrt(605)) + sqrt(605) - sqrt(605)).\nAnswer: -5 - 4*sqrt(2)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5681 - 5686. Let r = 7 - 1. Which is the second biggest value? (a) r (b) 0.2 (c) h (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 - 30*y + 26. Let u be j(16). Let b = -55 + u. What is the highest common factor of b and 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 53065.\nAnswer: -7\/53065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/555 - -6881\/555. Let c = r - 59\/5. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) -37 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -339 or -3719\/11?\nAnswer: -339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/16 and 63\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-90)\/(-200))\/((-6)\/5). Put 1\/4, t, -2 in decreasing order.\nAnswer: 1\/4, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -11*x + 1. Let f be q(-1). Let k be (f\/(-9))\/((-3)\/(-144)). Let h = k + 55. Which is the biggest value? (a) h (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 6*t + 2. Let f be k(4). Let n = 41 + f. Suppose n*y = 1251997 + 68003. What is y rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2772*k + 78726 = -7766*k + 618147 + 59859 for k.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 16. Let z be h(-13). Find the second derivative of -10*q**5 - z*q**5 - 4*q - 4*q wrt q.\nAnswer: -260*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*v = -163488, -14*a + 15*a = -v + 32704. Round a to the nearest 1000.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 13*a - 4. Let z be y(-14). What are the prime factors of (-1 + (-83)\/2)*(-12 + z)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*x + 221431, 0*x - 2*k = -4*x + 295244. Suppose -13813 = q - x. What is q rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13272, -13270, -13268, -13266, -13264?\nAnswer: -13262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20266573?\nAnswer: 233, 86981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -8 + 16 - 11*s - 8. What is y(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000229 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from frrrrccrfrfrfcrccrrc. Give prob of sequence rfc.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26893 + -0.0595.\nAnswer: -26893.0595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-8*f**3 + 7*f**3 - 9*f**3) - 25*f**3 + 15*f**3 + 17*f**3.\nAnswer: 27*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 36357616 to the power of 1\/3, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 4 - (-26 - -23).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 d when three letters picked without replacement from djjddddddddjjjdjdd?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b + 41. Let a(t) = t**2 + t + 1. Give 4*a(p) + y(p).\nAnswer: 4*p**2 + 2*p + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43 and -211.5.\nAnswer: -9094.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/sqrt(5) + 3 - (-1 + sqrt(76)).\nAnswer: -sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6959 and -0.2.\nAnswer: -0.13918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 5*q**7\/168 - q**6\/12 + q**5\/10 - q**4\/2 + 53*q. Let u(l) be the third derivative of w(l). Factor u(c).\nAnswer: 3*(5*c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1110 and 80.\nAnswer: 8880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004920499 rounded to four dps?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 106965235?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 487616 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -330, 4, -2, -11, 6 in increasing order.\nAnswer: -330, -11, -2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 11:41 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.97 - -0.03. Let a = -0.52 - -4.52. Let l = z - a. What is the closest to l in -4\/3, 2\/7, 2\/9?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 277494 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1573203510 to the power of 1\/5, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-five quarters of a microsecond?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -5*z + 678 - 9, -1099 = -5*p - 3*z. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4370, -8329, -12288?\n\"Answer: -3959*d - 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23740 - -28314. Is x a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. Suppose -3*u + 2 = -5*f, 0 = 4*f - 4*u + 8. Is k greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -42. Sort 3, f, -3 in ascending order.\nAnswer: f, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*a + q, -92*a = -88*a + 4*q + 48 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4*c**4 + 1)*(-1142*c + 573*c + 1086*c).\nAnswer: 2068*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 4*v - 1. Let z be y(2). Let t(o) = -2*o - 5*o**2 + 2*o**2 + 1 - o**z + 4*o**2. Suppose 19 = -n - 4*d, 5*n = -2*d - 2 - 3. Calculate t(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28091 + -26?\nAnswer: -280b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 30 = 10. Let d = 8 + r. Let p be 0 + 2\/(d\/3). Which is bigger: p or 1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 687564, 1375138, 2062724, 2750322, 3437932, 4125554?\nAnswer: 4813188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 8) in base 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 65*r**3 - 527*r - 2515. Calculate q(-5).\nAnswer: -8005","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 9:07 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 493.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, 4, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v + 3*v + 46 = 67 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37.5 + -37.1. Which is the closest to -2? (a) f (b) -2\/73 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 16*x**2 - 13*x - 20. Let t be f(15). Suppose -t - 10 = -2*g. Suppose g*s = s. Solve s = p - 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (1 - 1) - (17 + -13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1852 - 508. Is q a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 2, -0.514, 0.6, 4, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 192011\/18 + -10671. What is the common denominator of v and 123\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 0 + -2 + 2. Let o(n) = -n**2 - 3*n + 18. Let t be o(3). Suppose 4*k + 5*k + 36 = t. Sort 2, k, -5, f in decreasing order.\nAnswer: 2, f, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (1 + -9 - (-43 - -34))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52 + 103\/2. Let d = 18.38 - -157.92. Let w = d + -176. What is the second smallest value in w, 5, x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 3*k + 5*k)*(4 - 1 - 2)*(0 + 2 + 0).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y + 17. Let v(x) = -5*x + 19. Let m(i) = -6*s(i) + 5*v(i). Let f(p) be the second derivative of p**3\/3 + 11*p**2\/2 + 12*p. Give 5*f(z) + 8*m(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4206704ml to litres.\nAnswer: 0.0004206704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58855 is divided by 60?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.839 - -0.201. Let o = x - 0.04. Let l = 18.999914 - o. What is l rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 + -28. Suppose -4*q = -5*q + x. List the prime factors of q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 1 + 3, -2*b + 113 = k. Suppose -5*t = -3*u - 5 + 73, 3*u - 2*t - b = 0. Suppose -3*v + u = 4. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (3 + 7) - 13 - (2 + -12) - 45\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 3*u**2 + 4*u. Let t be i(-4). Let q = -250615\/7 - -19914722\/553. Let a = -210 + q. Is t smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2221746 divided by -6.\nAnswer: 370291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 63210 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and -0.21?\nAnswer: -3.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of z**6 + 41213*z**5 + 45*z**3 - 377*z**2 + 1707*z wrt z?\nAnswer: 120*z**3 + 2472780*z**2 + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 + 13134*z**2 - 778272*z - 39577466016.\nAnswer: 3*(z - 1518)*(z + 2948)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**5\/60 - f**4\/4 + 4*f**3\/3 + 11*f**2\/2 + 6. Let h(v) be the second derivative of y(v). Give h(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 9 - 15 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -553459, -1106904, -1660349?\n\"Answer: -553445*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 2:35 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-19)*u*u**5\/u assuming u is positive.\nAnswer: u**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**5 - 602*y**4 + 44390*y**3 + 136802*y**2 + 138016*y + 46208 = 0.\nAnswer: -1, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/2*1 + -3 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m. Let v(c) = -85649224*c. Calculate v(l(y)).\nAnswer: -85649224*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 * -1412.\nAnswer: 35300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-8)\/16))\/((-2)\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -21.7.\nAnswer: 43.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2000 and 19750.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1576168*b**2 - 3*b - 47474803?\nAnswer: 3152336*b - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 387375 and 273745?\nAnswer: 5165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = g - 3. Let k = 37 + -35.92. Let c = -0.08 + k. Put -2\/5, g, c in descending order.\nAnswer: g, c, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2430.0428 rounded to the nearest ten?\nAnswer: -2430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/1349 + 1347\/2698. Suppose -r*x**4 - 6 - 4*x**3 - 14*x - 23\/2*x**2 = 0. What is x?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, 1518, 5?\nAnswer: 1518","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 4*q + 10*b - b + 71, 27 + 53 - 50 = -5*b for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 16 + 43 - 37 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by -18676\nAnswer: 1\/644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 5*k = -5, 156*m + 7 = 154*m + 5*k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5366 + 5370. Suppose 4 = -4*a, 5*a - 1 = -4*p + p. Let f be (3*2)\/(0 + p). Solve -f = o - 5, -w*o = -3*g + 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 93\/7. Let n = v + -3. Which is the third biggest value? (a) -1 (b) 7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62.88 + -1.12. Let h = a + 22. Is -0.1 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-3) - 5*6\/30. Factor -1\/3*j + z*j**3 - 1\/3*j**4 + 1\/3*j**2 + 0.\nAnswer: -j*(j - 1)**2*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.82 + -0.52. Which is the nearest to -1\/3? (a) k (b) -18 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 5 - (5 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-17 + 17 + 17)*(1 - 4 + 6) + 9 - 6 + 9)*(5 + 3*s + 3*s - 6) in the form j + x*s and give j.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -108.2061 + 0.1061. Let u = q + 108. Which is bigger: -1\/43 or u?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11742214, 23484436, 35226672, 46968928, 58711210, 70453524, 82195876, 93938272?\n\"Answer: r**3 + r**2 + 11742212*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -266 + 619. What are the prime factors of t?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 70\/6 + (-2)\/(-6). Let n(k) = 9 - k**3 - 1 + 2 - z*k - 1 + 8*k**2. Let g be n(6). What is the greatest common divisor of g and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1120 = 2*c + 8*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 9. Let u be 18\/4*(-1)\/s. Suppose -3*j - 29*n = -30*n - 3, -2*j - 5*n = 15. Which is smaller: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 - 2*v**2 - v**4 + 0*v**4 + (1 - 2*v**2 - 1)*(-2 + 2 + v**2) in the form f + o*v**3 + x*v**4 + j*v + w*v**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*l + 38. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-170) - ((-19)\/(-17) - 6)) + 23\/(-6)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94774 to the power of 1\/2, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-64 - -65)\/(2\/10) + 449 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*b + b. Let f(o) = -4*o + 7. Let j(h) = -3*h - 13. Let u(d) = 2*d + 8. Let a(x) = 5*j(x) + 8*u(x). Determine b*f(l) - 6*a(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 227 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*d = -6*d - 92, -4*m = 4*d + 116. Let f = -21 - m. Let l be 165 - (-4 - (f + -4)). Calculate the highest common factor of 24 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*x + 13*x + 36. What is the third derivative of x*o**2 - 4*o**3 - 18*o**6 - 5*o**3 + 9*o**3 wrt o?\nAnswer: -2160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 - 67. Suppose 0 = -r*t + 4*t + 4*w - 13, 5 = 5*w. What is the remainder when 28 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-96 + 10 + 7)*((2 - 5 + 2)*(2*v - 2*v - 2*v) + (5 - v - 5)*(-1 + 1 + 1))*(2*v**2 + 0 + 0) to l*v**2 + q*v**3 + u*v + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2790 = 11*r - 2823 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 274112933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -196329.666?\nAnswer: -196329.666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 534 - -47551\nAnswer: 48085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*r**3 - r**2 - r**2 + 85 - 84 to the form k*r**3 + q + w*r + s*r**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 16 = -4*k, 3*f - k + 24 = 6*f. Let q be -2*6\/8*-2. Solve q*p - f*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41790 to the nearest 1000.\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/45, -3\/5, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2977068, 5954149, 8931234, 11908323, 14885416?\n\"Answer: 2*i**2 + 2977075*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**5 - 368*b**4 - 10544*b**3 - 72328*b**2 + 586740*b - 793800 = 0. What is b?\nAnswer: -35, -27, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -33 in decreasing order.\nAnswer: 4, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -45. Suppose 4*r = -3*w - w + k, -w + 2*r - 8 = 0. Let h be -1 - (-6)\/(-4)*-1. Is h != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3179, 12763, 28749, 51137, 79927, 115119?\nAnswer: 156713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 11*y**2 + 8*y - 17. Let o be c(-10). Suppose 0 = 4*b - o*x + x - 58, 0 = 2*x - 2. Suppose b*i - 901 - 914 = 0. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 122920 and 645330?\nAnswer: 2581320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -34. Let w = 24 + -18. Calculate the remainder when i is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 - 102?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 11*h**2 + 25*h - 5. Determine q(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3131403442 - 111?\nAnswer: 3131403331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a99 - 132?\nAnswer: 1967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 59491.18 litres in millilitres?\nAnswer: 59491180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2334*i**3 + 663*i**3 + 126*i**3)*(-i**2 + 5 - 4 - 3).\nAnswer: 1545*i**5 + 3090*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -1) + 0 - (-10)\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 27*v + 185. Determine b(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.8 + 6.7. Let b = w + 1.5. Let g = b - 15.37. Round g to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f = 24*f - 329 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95 + (5 - -8) - 23 - -14 - 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (4 + 5*(0 + sqrt(1088)) + sqrt(1088) - (-6*(sqrt(153)*1 - sqrt(153)) - (3 + sqrt(153) + 0 + sqrt(153)))))**2.\nAnswer: 648*sqrt(17) + 49608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30566*t - 15485*t - 15078*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 66*u - 388. Determine j(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1800700 to the nearest ten thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 5, -110, -1, -3492 in decreasing order.\nAnswer: 5, -1, -2, -4, -110, -3492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 5*x + 83 = -30, -2*w = -6*w + w - 3*x - 75 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70*u**5 - 46*u wrt u?\nAnswer: 1400*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 23120*x**5 + 247180*x**4 + 366880*x**3 + 133835*x**2 - 8850*x + 135 = 0. Calculate x.\nAnswer: -9, -1, -3\/4, 1\/34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*p + 543 = -10 - 1747 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25330\/2360 - 10 - (5\/8 - (-311)\/2488).\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -3, 1895, 0.3, 64?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 74186 - 74175 = -3*g, g + 12 = -2*z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + 0 + ((sqrt(140) + -2*((sqrt(140)*1 - sqrt(140)) + sqrt(140) + sqrt(140)) - sqrt(140) - sqrt(140))\/(sqrt(320)*2))**2.\nAnswer: 239\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 (base 6) in base 2?\nAnswer: 10001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 - 49 - (1 + -18) - (3 + 7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (-6)\/(-3)*-2. Let c(h) = 3 + 4*h - 3 - 3. Let x(z) = 6*z - 4. Let m(q) = r*x(q) + 7*c(q). What is the derivative of m(w) wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 71*p + 371. Let r = 40 - 26. What is the least common multiple of z(-5) and r?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61378215.\nAnswer: 3, 5, 103, 39727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-48)\/10*(261\/(-27) - -8). Which is greater: n or -41?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 533280*k*r**3 - 5*k*r**2 - 125363*k + 2*r**3 wrt r?\nAnswer: 3199680*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211 = 32*p - 3661. Calculate the highest common factor of p and 165.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -10, 5, -8872 in descending order.\nAnswer: 5, 0, -10, -8872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**5\/90 - 11*j**4\/108 - 2*j**3\/9 + 79*j**2. Find i, given that b(i) = 0.\nAnswer: -3, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 5. Suppose 3*a + 235 = 4*r, a + 2*a + 247 = -2*r. Let o = a - -121. Let n be ((-26)\/10 - -1)\/(o\/(-100)). Determine h(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 4. Let o be j(0). Is o <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - (-2 + 8 - (76 + -76))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6702768.\nAnswer: 2, 3, 89, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a + a**3 + 2 - 7 + 3*a - 6*a + 7*a**2. Let r be y(-7). Solve 2*c - 4*f = 22, r*f - 3 = 2*c - 17 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - 243?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/(-252))\/((-428)\/(-4815)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*q + 106. Let k(v) = -v**2 - 15*v - 7. What is the smallest common multiple of k(-1) and q?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c. Let i be g(0). Suppose 0*r + 4*r + 3*k + 5 = i, 5*r + 3*k + 4 = 0. Let s(o) = -3*o**3 - o**2 + o - 1. Give s(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -28, 10 in ascending order.\nAnswer: -28, -2, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*f**3 + 5*f**2 - 1445*f - 4779748 wrt f?\nAnswer: -30*f**2 + 10*f - 1445","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12\/67, -3, -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25637 - 27013 = 65*c. Round c to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16202191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = z + 8. Let i = -1 - 2. What is the smallest value in i, -5, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -416799543, -416799541, -416799539?\n\"Answer: 2*h - 416799545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 761753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3057274923 to the power of 1\/3, to the nearest integer?\nAnswer: 1451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 2085*j + 61593. Calculate p(-29).\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d - 16. Let q(i) = 0*i - 5*i - 11 - 4. Let r(t) = -7*q(t) + 6*s(t). List the prime factors of r(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 8, -i - b + 1 = -5. What is the highest common factor of 40 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*sqrt(11)*-1 + 2 + (sqrt(396) - (3*(sqrt(396) + -2*sqrt(396)) + sqrt(396)))**2 + -1) + 5.\nAnswer: 10*sqrt(11) + 17830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 54515, 109033, 163553, 218075, 272599, 327125?\n\"Answer: s**2 + 54515*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 6*n + 4*n - 3325, 4*j = -3*n + 2660. List the prime factors of j.\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nu when two letters picked without replacement from {j: 1, w: 1, n: 3, f: 1, k: 2, u: 3}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 234 and 70.\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 13*v + 13. Determine t(-13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2095*v**2 + 17*v**3 - 4*v - 2112*v**2 + 4207*v**2.\nAnswer: 17*v**3 - 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seven halves of a microsecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 506685 and 912033?\nAnswer: 4560165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 4, -1, 0 in ascending order.\nAnswer: -2, -1, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/1 - (-4 - -3). Let z = -5 - -7. Suppose l = j + z. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + q - 4 = 0, -4*q + 14 = 2*t. Suppose -t = -3*s - 3. Suppose -1 = -d - 2. Sort 0, s, d in increasing order.\nAnswer: d, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42c471 (base 13) to base 6\nAnswer: 53345510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 7*d - 162. Suppose 0 = t + 4*h - d, -5 + 9 = -4*t + 3*h. Differentiate -12*n**2 + 4*n**2 - 9 + 8*n**t - 15*n**4 wrt n.\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6474342739 rounded to 4 dps?\nAnswer: 0.6474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 17 - s**2 - 6)*(-42 - 31 - 22*s + 69 + s + 4 - 4 + (-s + 1 - 1)*(2 - 2 + 2)) + 36*s - 36*s + s**3 to c + q*s + v*s**2 + r*s**3 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 7*n**2 - 3*n + 3. Let s(r) = 6*r**2 - 3*r + 2. Determine 4*q(h) - 5*s(h).\nAnswer: -2*h**2 + 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 675*q**4 - 3*q**3 + 35*q + 1486114.\nAnswer: 2700*q**3 - 9*q**2 + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10728 and 3230916?\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/2 + 333*n**2\/2 + 4860*n + 13122.\nAnswer: 3*(n + 3)*(n + 54)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -100111011101 (base 2) to base 14\nAnswer: -cc5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v + 16 = 14*v. What is the second derivative of -35*y**2 - 39*y**2 + 75*y**2 - 26*y**3 - v*y wrt y?\nAnswer: -156*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, 5, -4, 0.08, -15 in decreasing order.\nAnswer: 50, 5, 0.08, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by -39285\nAnswer: -1\/873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -11 - (5 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.06 - 3. Let c = b - 0.41. Let i = c - 1.65. What is the biggest value in i, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -6 - -2) + -20 + 21 + -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13189848 and 2688?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*l - 74*l + 8*l + (-4 + 4 + 2*l)*(0 + 3 - 5) - 3*l + l + 0*l)*(-6 + 1 + 3).\nAnswer: 90*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-258)\/(-215)*((-37)\/4 - -8)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -557506 and 0.045.\nAnswer: -25087.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 2\/15 (c) -3 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -123\nAnswer: -49.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 190001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 70257.681 to the nearest one hundred.\nAnswer: 70300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1154355881 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 5, l: 1, o: 3}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 512 divide 12748358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 4449862244631?\nAnswer: 4449862244617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91 and 689?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*s**3 - 15707*s**2 - 3*s - 1505825 wrt s.\nAnswer: -21*s**2 - 31414*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4 - 6552*x**3 + 2683044*x**2.\nAnswer: 4*x**2*(x - 819)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 159437 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11682 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2773)\/(-33) - 580\/(-60)*6\/(-1914).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.7 + -17. Which is the third biggest value? (a) 0.2 (b) -1\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4\/4 + 123468237*g**3\/4 - 370404747*g**2\/2 + 370404759*g - 246936510.\nAnswer: 3*(g - 2)**3*(g + 41156085)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/18*(-276)\/(-3220).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-7 + 8) - 0\/(1 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x - 3. Let j(b) = -5*b**2 + 100*b + 15. Give j(o) + 5*p(o).\nAnswer: -5*o**2 + 110*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - 0.3. Let v be (-1 - 0)\/((-50)\/(-4)). What is the nearest to -0.2 in v, g, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 3:58 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*p - 1658 = -5*v + 106*p - 467, -5*v + 316 + 4 = 5*p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 476\/(-8))*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uiwwwwwduueoee. Give prob of sequence diu.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 2303.\nAnswer: 921.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*x - 260 = 0, -x + 296 - 44 = 2*w. Suppose 120 = -2*f + w. Solve f*q = -19 + 23 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 807 = -71*h + 2298 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c - 1. Let w be l(3). Suppose 8*d + 5*x = 3*d + 120, -d + 12 = -5*x. Let s = d + w. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9140?\nAnswer: 2, 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 19*t + 2. Let m(u) = -4*u**3 - 7*u**2 + u + 6. Let s be m(-2). Let r(g) = 13*g + 1. Give s*r(n) - 5*i(n).\nAnswer: 9*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3080 divide 803358165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -0.047?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1316 (base 13) to base 14.\nAnswer: -dc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2413 (base 5) to base 12.\nAnswer: -25a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 44?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 10866.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/51*(-2)\/(-6).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2 = l, 4*h + 18 = l + h. List the prime factors of 8\/3*l\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/((-260)\/(-16))*-10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -47\/14 in -1, 3\/7, -101, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 divided by 1?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 16*a - 80. Solve -4*b + 16 - 45 = -3*c, -a*c + 15 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h - 10. Suppose 4 = 3*d - 5*d. Let f be j(d). Let x be (2 - 1)\/(0 - (-5)\/f). Is x smaller than -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 10*j**2 + 11. Let q(x) = -x**2 - 1. Let z(i) = 2*a(i) + 22*q(i). Let f(o) = -2*o. What is z(f(u))?\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.5? (a) -20 (b) 2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 11 - 3 = 0. Suppose s - 5 + 3 = o*i, 4*s + i = 17. Let r(q) = q - 4 - s + 2 + 4. Calculate r(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 - o - 7. Let t = -53 + 70. Let n(r) = r**2 - 20*r + 48. Let l be n(t). Let a(q) = q**2 + q + 4. What is l*i(j) - 5*a(j)?\nAnswer: j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -8. Factor 27*p**o - 60 + 14*p - 23*p**2 - 6*p.\nAnswer: 4*(p - 3)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092728\/306204*(-34)\/(-4)?\nAnswer: 91\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 329 + -326. Let d be (n + (-9)\/6)\/3. Let s be (-4)\/(-6)*(-3)\/5. Which is the closest to 1? (a) -5 (b) d (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 149 - 351 = 0. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00048316 rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l + 69. Let f = 88 - 97. What is the units digit of h(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4106495 to the power of 1\/2, to the nearest integer?\nAnswer: 2026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/15)\/((-17)\/6 - (-31 + 28)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -6*g. Let d be 2\/10*(-10 - (-4 - 61)). Let m(o) = 10*o**2. Let v(r) = 2*r**2. Let t = 0 - 2. Let z(j) = d*v(j) + t*m(j). Give k(z(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3708582, 3708527, 3708494, 3708489, 3708518, 3708587, 3708702, 3708869?\nAnswer: 3709094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1405, -1453, -1503, -1555, -1609, -1665?\nAnswer: -1723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 34. Suppose -2*v + b = -18. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 9:19 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1993, -3989, -5985, -7981, -9977, -11973?\n\"Answer: -1996*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**3\/3 + 2*n + 3. Calculate w(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a - 54. Let z be v(-29). Solve 13\/3*l**3 + 0 + 2*l**z + 4*l**2 + 4\/3*l + 1\/3*l**5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/6*-61)\/(12\/36). Let d = -61 + i. Solve -o + d = 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 78*r**3 - 26*r**3 + 258*r**3 + (-8*r**3 + 0*r + 0*r)*(-1 - 2 + 5) in the form x*r**2 + b*r + l + k*r**3 and give k.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.043 - 2.323. Let v = -16.28 - -16. Let n = h - v. Which is the nearest to n? (a) -1\/3 (b) 0.3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3)*(0*r - 2*r + r) + (0*r + 2*r + r)*(2 + 4 - 5)*(22 - 56 + 32).\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -60, -54, -46, -36?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Suppose 5*d - 2*d = y. What is the second derivative of d*o + 0*o - 2*o**5 + o wrt o?\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)\/(sqrt(400)*-1)*-1 - (sqrt(88)\/sqrt(392) - ((sqrt(11) - (sqrt(55) + sqrt(1375))\/sqrt(5)) + sqrt(11) + sqrt(11)))) + -5)**2.\nAnswer: 213*sqrt(11)\/7 + 621559\/4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 78*k - 29*k + 4 + (0 - 1 - 1)*(0*k + k + k).\nAnswer: -111*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 0 - -14 - (-1 + 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (2 - (11 + -4 + -3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**2 + 54*v + 924. What is the units digit of w(-45)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (298\/(-1043))\/(6\/(9\/(-3)))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (149*d + 145*d - 295*d - 22)*(d - 4 + 4 + (-4 + 5 + 1)*(2*d + 0 + 0)) to v*d**2 + g + p*d and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 53*y - 45*y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5358, 21739, 49034, 87237, 136342?\n\"Answer: -x**3 + 5463*x**2 - x - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 20*n - 29. Let l be t(11). Let d = l - 183. Solve -10*c + 14*c = d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 119.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 751 divided by -269473.\nAnswer: -751\/269473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06510015244 rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, n: 2, i: 1, t: 2}. What is prob of picking 1 t and 1 c?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0036162849 rounded to 6 dps?\nAnswer: -0.003616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 59051582 divided by 10\nAnswer: 29525791\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 17*d - 4*z - 554 = 0, -5*z = 3*d - 864. Suppose 303 + d = 2*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by 137?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(-10)*o*o**(-11)*o*o*o*o*o\/o**(3\/5)*o**(2\/11)\/o)**(5\/4))**(-8) assuming o is positive.\nAnswer: o**(-614\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-4)\/4)\/(4\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -42.77 and 4.\nAnswer: -171.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1037645 - 102?\nAnswer: 1037543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.5 - 15.6. Let i = -0.02 - 1.98. Which is the nearest to 2\/7? (a) y (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(-1\/2))**23)**44 assuming b is positive.\nAnswer: b**1518","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**5\/10 - 2*o**2 + 14*o. What is the remainder when x(2) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1901\/7220 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 81\/2 of a litre?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 96\/128 - 434\/(-8). Suppose -5*w + 80 = -5*d, 3*d = 2*w + 19 - u. Calculate the highest common factor of 84 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 10:04 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*b**2 + 3*b + 194 wrt b.\nAnswer: 34*b + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 859058 is divided by 428?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 357921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31\/7 + -295\/84. Let p = 3\/14 + 29\/28. Let i = c - p. What is the second smallest value in -2, 3\/4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**7\/210 - 4*b**6\/9 + 3*b**5\/5 - 4*b**2 - 13*b. Factor d(o).\nAnswer: -o**2*(o + 54)*(3*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**4 - 3*s**4 + 6*s**4 + (3*s - 3*s**3 - 3*s)*(-4 + 4 + 2*s) + (4*s - 3*s**2 - 4*s)*(5*s**2 - 2*s**2 - 2*s**2).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -540504 - -5333?\nAnswer: -531131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (14 - 29) + -13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21474859*r**3 - 117155893*r**2?\nAnswer: 128849154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2525959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 + -60. Let m(a) be the first derivative of -1\/4*a**y + 4 + 4\/3*a**3 + 0*a**2 + 0*a. What is the third derivative of m(c) wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + (38\/40 - 6\/8)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 + 1 = -g. Let d = 124 - g. What is the lowest common multiple of d and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1677*d**5 + 686*d**2 + 11800477*d + 2 wrt d?\nAnswer: -33540*d**3 + 1372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84831, -84839, -84837, -84819, -84779?\nAnswer: -84711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**3 - 103*x**4 - 2614*x**2 - 2 - 21*x**3 + 2614*x**2 to the form t*x**4 + o + v*x**3 + p*x + g*x**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -7*n**2 + 9*n + 20. Determine r(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 0 = 4*s + 20, -4*w - 5*s - 28 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*t = 31*t - 54. Let i be (-11)\/(22\/60) + -2. Let v = t + i. What is the highest common divisor of v and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15727545.\nAnswer: 3, 5, 373, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1773913097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 1383*b + 4473. Let v be n(-3). Is v at least 313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -x**3\/3 - 17*x**2 - 110*x - 37. Is 23 a factor of n(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 21793*r**2 + 372*r - 93. Let w(g) = 1178*g**2 + 20*g - 5. Calculate 5*k(i) - 93*w(i).\nAnswer: -589*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18851779?\nAnswer: 2081, 9059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 276, 5, -7, 1 in ascending order.\nAnswer: -7, 1, 2, 5, 276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 357318?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2. Let o(y) be the first derivative of y**4\/4 - 22*y - 63. Let p(m) be the first derivative of o(m). Determine p(i(k)).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(2 + sqrt(75)) - ((-2*sqrt(75) - sqrt(75) - sqrt(75)) + 0))*6 + 3)**2.\nAnswer: -1980*sqrt(3) + 3789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -112, -11, -1, -18, -31 in decreasing order.\nAnswer: -1, -11, -18, -31, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -2201?\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1552 is divided by 54.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -744521*v**2 + 744521*v**2 + 5*v**3.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 250157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -11 (b) 0.15 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 142*t**2 + 321*t + 6. Calculate the remainder when q(-6) is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2330909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**6\/120 + 3*z**5\/20 + z**4\/24 - 2*z**3 - 635*z**2 + 2. What is b(9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*k - 15, 2*q = 2*k + 14. Let o = q + -7. Let i(x) = x**2 + 5*x + 1. Let a be i(-4). What is the biggest value in a, 3, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(11) + sqrt(11) + sqrt(33)\/sqrt(12))*3*-6 + 1)**2.\nAnswer: -180*sqrt(11) + 89101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.75 - -0.721. Let h = 1.171 - p. Sort 5, h, 2\/11 in increasing order.\nAnswer: 2\/11, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 9*d**3 - 3*d**2 + 6*d + 6. Let a(v) = 9*v**3 - 2*v**2 + 5*v + 5. Calculate -6*a(g) + 5*o(g).\nAnswer: -9*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 2304 (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10178 + 30494 - 10155 - 10161 + f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 74*m**3 - 102*m**3 - 33*m**3 - 27*m.\nAnswer: -209*m**3 - 27*m - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + o - 3 + 11)*(0 - 1 + 2).\nAnswer: -o + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 389676882?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.00637161 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = -27*j + 9 + 343 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -170 + -1?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n - 4. Let r be k(-2). Let m(z) = z - 1 + 2 + z**3 + z**r - 2*z**2 + 0. Determine m(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 17, 174, 4, 6, -12, -4 in decreasing order.\nAnswer: 174, 17, 6, 4, 2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 7351*u + 596064. Calculate n(-82).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5292 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -65*k - 70. Sort k, -4, 4, -9 in descending order.\nAnswer: 4, k, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i - 594. Let v(j) = 103*j**2. What is k(v(m))?\nAnswer: -412*m**2 - 594","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30890422 a multiple of 894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52385 and 499.\nAnswer: 26140115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33447 + -33442. Which is the nearest to -0.11? (a) 0.0344 (b) -3\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/421344 and -121\/36.\nAnswer: 421344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**7)\/u*u**(10\/3))\/(u**(-2\/15)\/(u\/(u*u\/u**(-4)*u*u*u))))**(-1\/25) assuming u is positive.\nAnswer: u**(-37\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 134055.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 9) to base 10.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 10:59 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12364 - -12371. Solve f - z = t, -4*z = -f + 28 - 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 16*b**2 - 28*b + 143. Let m = -127 - -134. Does 43 divide i(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (-1)\/(-1 + 0). Suppose -92 = -5*v + 4*w + 14, 2*v = -u*w + 48. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + 1. Let y be 9\/(-21) + (-472)\/(-56). Let p = s - y. Solve z + p = -5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -130330032331?\nAnswer: -130330032331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 3 = 4*l. Suppose -15 = -4*s - s. Sort l, -4, s in descending order.\nAnswer: l, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001397 to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 1 (c) 0.5 (d) -12\/23 (e) 0.57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1555264?\nAnswer: 2, 19, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2591710 and 6738446?\nAnswer: 33692230","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**3 - 3*t**2 + 8*t + 9. What are the prime factors of o(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-20)*(d**11*d*d)\/d assuming d is positive.\nAnswer: d**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1239*o - 591*o = -400*o - 87230 for o.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 29. Solve 0 = -4*r + 18 - h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-9) + 3\/((-54)\/4). Suppose -i = -s*i + 10*i. Solve -4*m - 1 - 11 = i for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -14, -66, -156, -290, -474?\nAnswer: -714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(-4)\/(-8) - 4\/(-2). Suppose 14*a - 6554 + 1724 = l. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**3 - 39*m**2 + 54*m + 4. Let g be n(18). Let u(r) be the first derivative of -4\/3*r**3 + 30 + 1\/4*r**g + 0*r - 5\/2*r**2. Calculate u(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1\/8579, -1.4, 5, -0.6 in decreasing order.\nAnswer: 5, 1, 1\/8579, -0.6, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, z: 2, p: 5, o: 11}. What is prob of picking 3 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 0*v**2 - v**2 - 2*v)*(170*v - 23*v + 539*v).\nAnswer: -686*v**3 - 1372*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**5\/60 - z**2. Let a(y) be the second derivative of y**3\/3 + y. Determine q(a(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12465 (base 15) to base 4.\nAnswer: -32100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 l when two letters picked without replacement from {c: 7, l: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3316626 - 2*k**2 + 3316626 + 1928*k in the form a + r*k**2 + g*k and give g.\nAnswer: 1928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -32, 7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 8*w**2 + 16*w - 12. Let y be k(5). Let b be (0 - 4)*y\/(-266)*1. What is the smallest value in 2\/3, b, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4183 or -15\/4?\nAnswer: -4183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 162831 + -115912. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 13*p**7\/105 + 5*p**3\/2 - 9*p**2. Find the first derivative of t(l) wrt l.\nAnswer: 104*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12021 - -10210?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -8*n + 128. Let a be k(11). Suppose -5*p + 4*x + a = 0, 85*p + 3*x = 81*p + 1. Solve -12 = -p*y - 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 157a - 2294?\nAnswer: -916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -420369 (base 10) in base 14?\nAnswer: -ad2a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 470 = -5*f + h, -4*f + 2*h = -398. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2682275672 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/19 or 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -170 times 0.009?\nAnswer: -1.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*r - r. What is the common denominator of -1\/8 and 2*1*(r + (-15)\/18)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 p when two letters picked without replacement from {r: 1, p: 1, x: 2, v: 2, m: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 306 and 1427409.\nAnswer: 48531906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -63*p**2 - 6*p. Let n(i) = 64*i**2 + 7*i. Let u = -21920 - -21926. Calculate u*n(d) + 7*l(d).\nAnswer: -57*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l - 22. Let q be i(14). Let k(z) = 20 - z - q. Let t(b) = 23*b. Determine t(k(v)).\nAnswer: -23*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -4649*w**2 - 4658*w - 9 = 0.\nAnswer: -1, -9\/4649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4297 is divided by 110?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (0 - 45 - (33 - 47)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y - 37. Let t(l) = 14*l - 192. Let f(q) = 11*a(q) - 2*t(q). Give f(9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6236521 (base 7) to base 11.\nAnswer: -471836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1408 and 880?\nAnswer: 7040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22384, -90388, -203734, -362422, -566452, -815824?\n\"Answer: -22671*f**2 + 9*f + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2 = -l + o, -2*o = 2*l - 6. Solve 5 = l*f + c, 5*c - c = -5*f + 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2596 + 4656. List the prime factors of s.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 18\/7 of a week?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 2*q - 45, 2*u + 5 = 3*q + 22. Let s = u + -11. Solve -5*c = -3*h - 31, -3 = -3*c + s*c - h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2268 and 1.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 69.593? (a) 0.5 (b) -46 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 137923340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -16*x**2 + 16*x - 8. Let j(o) = 16*o**2 - 16*o + 9. Let n(c) = 5*b(c) + 4*j(c). Determine s so that n(s) = 0.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 190*q. Let a(h) = 14*h**2 + 8*h**2 - 23*h**2 - 2*h**2. Give a(y(z)).\nAnswer: -108300*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 73319 >= 73320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2713427 rounded to four dps?\nAnswer: 0.2713","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 322778?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) 2 (c) 2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19051846?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41 by -92921.\nAnswer: -41\/92921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z + 0 = -63. Which is the fourth biggest value? (a) -11 (b) -5 (c) z (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + w - 1. Let k be g(-4). Let t = -12 - -13. Let h be (0 + t)\/(14\/42). Solve v - 3*b + k = -0*v, 0 = h*b - 9 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140630151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4784 + 26*o + 2229 - 25*o.\nAnswer: o - 2555","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -3926 - -3928. Calculate the greatest common divisor of n and 1033.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4274479961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.31057 years to months.\nAnswer: 531.72684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**5 - 16*s**4 - 48*s**3 + 128*s**2 + 256*s.\nAnswer: 4*s*(s - 4)**2*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 29314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4750 and 12445.\nAnswer: 622250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-75)\/8)\/((-1)\/(-1)) and 11\/((-1056)\/(-108)) - 4\/(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -1106345?\nAnswer: 1106340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y - 2. Let g(w) = -w**3 + 6*w**2 + 22*w - 24. Let n be g(8). Let q be (-3)\/n*-2*20. Calculate p(q).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 66*k**2 - 53*k + 8571. What is u(-63)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 3*l + 4, 23*l = 22*l + 3*h + 28 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a gram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*k + 168*k - 83*k.\nAnswer: 21*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2510 (base 7) to base 12\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-54)\/135 - 674\/(-10) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -183*p**3 + 4*p**2 + 4*p + 1. Calculate the remainder when l(-1) is divided by 85.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 14*y. Let q(t) = -1725397*t**2 - 2*t. Determine h(q(i)).\nAnswer: -24155558*i**2 - 28*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 64*x - 69*x + 10. Put 0, x, -2, -152 in increasing order.\nAnswer: -152, -2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, y: 2, h: 2, k: 4, v: 1}. Give prob of sequence hk.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1750*d - 26118 with respect to d.\nAnswer: 1750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 164 - 66. Suppose 3*r - z = 97. Suppose -5*u = -15 - r. Solve 5*n + u = 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1324073, -1324085, -1324097, -1324109, -1324121?\nAnswer: -1324133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 635626452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.16, -4670, 1\/3, -1\/9 in increasing order.\nAnswer: -4670, -0.16, -1\/9, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-23))**(-17\/3)*u\/u**(-2\/61)*u\/(u\/(u**2*u)))**(-10\/17) assuming u is positive.\nAnswer: u**(-245890\/3111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/14*2 - 183\/(-273). Are -0.1 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*o = -213*o + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5194*a**2 - 1203 - 331*a**4 + 2623*a**2 + 2572*a**2 wrt a.\nAnswer: -1324*a**3 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/3 - -7\/33. Calculate the common denominator of g and -6\/13.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -38. Find the second derivative of -22*d**3 - h*d**2 + 1 + 22*d**2 + 2*d - 9 wrt d.\nAnswer: -132*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 3:44 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 10*v**2 + 10*v + 15. Let f be k(11). Suppose 17 = f*q + 5. Suppose -q*c + 8*c = 365. List the prime factors of c.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 329335*t**2 - 329315*t**2.\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6180282 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 255279829 to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 103 + -57. Suppose 0 = -v - 4*v. Suppose -y - r + 189 = v. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16*-572\nAnswer: -9152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(114) + sqrt(114)*1*6))\/(sqrt(24)*-1 + (sqrt(6) - -1*sqrt(384)) + sqrt(6)) + 5)*-5 + -4.\nAnswer: -29 + 175*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1323) + 3)**2.\nAnswer: -126*sqrt(3) + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1085 - 738. Let b = 199 + -343. Let r = q + b. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 24*y**2 + 174*y. What is the tens digit of r(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1240 (base 7) in base 8?\nAnswer: -725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 1. Let x be l(4). Find the third derivative of 0*u**5 - 3*u**2 - 8*u**5 + 10*u**2 + 6*u**x wrt u.\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 20*k + 2 = -18*k, -6*k = 3*m - 78 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257 - 263 = -3*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8400?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -268*v**2 + 12*v + 3921 wrt v.\nAnswer: -536*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 3*w - 16, -36 = -12*w + 9*w + 15*v - 6*v for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56615*o**3*s**3 - 20*o**2*s**3 - 141*o**2*s - s**2 - 6 wrt o.\nAnswer: 339690*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times 19316?\nAnswer: 212476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4145601 - 404?\nAnswer: 4145175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h + 1. Let r(y) = -y. Let m(u) = 5*r(u) + x(u). Let b(a) = -4*a + 1. Suppose 5*k = -0*k - 15. Calculate k*m(n) + b(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -9. Let i = f + -6. Solve -4*u + i*u = 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 5*t + 646. Let j be g(23). Which is the third smallest value? (a) -0.5 (b) -1 (c) -2 (d) 53 (e) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 337*y**2 + 359*y**2 - 689*y**2.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 1377*d - 1. Let u(h) = -29*h**2. Calculate u(m(r)).\nAnswer: -54987741*r**2 + 79866*r - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -1. Suppose -i*c - 26 = 2*z - 74, 0 = -z + 3*c + 35. What is the remainder when z is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 21*s**2 - 711*s - 39. Give p(-39).\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 1:08 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.07 and 12648289626.\nAnswer: 12648289625.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2695 and 1320?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(35)\/(sqrt(5) + (sqrt(405) - sqrt(405)*1 - sqrt(405))) + 4*sqrt(252) + 1.\nAnswer: -1 + 191*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-66)\/99)\/(2\/(-9)). Solve 4 = 5*g - 4*u, 5*g + 0*u = -c*u + 32 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 29*i + 78. Let j be t(-26). Suppose 35 = 4*s + 3*b, -14 + 34 = s + 3*b. Let y(x) = -7*x + s*x + j*x. Let q(g) = -2*g**2. What is q(y(h))?\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 472, -0.2, -8 in increasing order.\nAnswer: -8, -2, -0.2, 3, 472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2042085057 to the nearest integer?\nAnswer: 45189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 992462664 to the nearest integer?\nAnswer: 997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -6\/161, -0.4?\nAnswer: -6\/161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 1, 6471, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - 8*m - 41. Let k be s(7). Solve j = 4*l - 1, 4*l - 6 = -j + k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 430 and 1230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1326*f = -1342*f - 16208. Let x = f - -1017. Factor 1\/9*t**x + 1\/9*t**2 + 1\/3*t**3 - 1\/3*t - 2\/9.\nAnswer: (t - 1)*(t + 1)**2*(t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670634 divided by -29158?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 - 72 = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18083\/6 - 3023. Find the common denominator of ((-8)\/(-5))\/(3\/20) and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 132862525*f**5 + 241271698*f**2.\nAnswer: 7971751500*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i + 686 + 544. Let a be (-1 - i)\/(16\/392). Let d = a - 1548. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 1) + 11 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2, -2*a + 4 = -5*h - 17. Let j be ((-9)\/15)\/(1\/h). Suppose -4*m = m - 5*x - 180, 4*x = j*m - 108. What is the remainder when m is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avv when three letters picked without replacement from {v: 9, a: 1, z: 7, k: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/60 and (329\/(-365190))\/((-4)\/1030).\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21816 divided by 7\nAnswer: 21816\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-7)\/r))\/(r**4*r))**21 assuming r is positive.\nAnswer: r**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -98\/33*c**3 - 14\/11*c**2 - 2 - 2\/11*c. Factor p(y).\nAnswer: -2*(7*y + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -6. Suppose -f = -3*p - 16, -4*f + 6 = -p - 14. Let y = j + p. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32753569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 825\nAnswer: -2\/825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 732 + -733. Put 2\/7, -0.2, o in increasing order.\nAnswer: o, -0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 2. Let u = 16 + -14. Let o(j) = -j + 3. Give u*o(w) + 3*s(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59047 - 86698. Let q = -27628.102 - d. Let s = q + -23. Round s to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7966600 to the nearest one hundred thousand.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 143 = 3*y - 46581, -3*y + 46740 = 3*o. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 900, 1\/8, 52, -2\/13 in descending order.\nAnswer: 900, 52, 4, 1\/8, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**3 + 64*c**2 + 78*c + 14. Is o(21) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1007.5858 + -994.3. Round b to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 24*u - 306. Let z(t) = -17*t + 216. Let j(p) = 12*h(p) + 17*z(p). Let x(w) = w**2 - 3*w + w**2 + w**2. Determine j(x(c)).\nAnswer: -3*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-2)\/6)\/(34\/102)*-4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*s - 6, s - 4*q - 6 = 2*s. What is w in -2\/7 - 6\/7*w - 6\/7*w**s - 2\/7*w**3 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3535, -6987, -10437, -13885, -17331, -20775?\nAnswer: -24217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - ((-146)\/24 + 4). Let g be (-22)\/24 + -1 + 4\/2. Let j = s + g. Calculate the common denominator of j and -93\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/80 and 19\/16452760.\nAnswer: 32905520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 8, 3*n + z + 0*z + 419996 = 0. What is n rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 3*o - 3*o)*(8*o - 14 + 14) + (-3*o + 4*o + 0*o)*(3*o + 2*o - 2*o) - 5*o**2 + 7079*o - 7079*o.\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + x + 19 = -x, -k = x - 7. Let s(u) = u**3 + 10*u**2 - 14*u - 2. Let o be s(-11). Let q = o - k. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*f - 9 = 2*s, 3*f - 15 = 0. Solve -s*g = 2*o + o - 12, -o + 4 = 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (-4 - -5) + -7. Let j(r) = -r**2 - 6*r - 1. Let x be j(b). Solve x = -4*h - 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147 divided by 7\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 10*v - 1. Suppose -7*s + 3*s = 764. Let w = s - -181. Determine o(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 62.502 to the nearest integer.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -523, -533, -543?\n\"Answer: -10*v - 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 + 10*d + 3*d - 17*d + 4*d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-12)*(35\/(-14) + 4). Solve 2*y - 4 = q + 3*y, -4*q - m*y = 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) 4 (c) 3.6 (d) 128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 686*g - 56 = 674*g - 4*y, -5*g + y = -10 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 13) to base 16\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3103 - -3108. Solve 0 = -s*v + 3*w + 21, -3*v = 5*w - 3*w - 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-180)\/(-21) + (-8)\/14. Let m(q) = q**2 + v*q + 0*q - 8 - 3. What is the tens digit of m(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*m + 2. Suppose 2*v - m*v = 2*z - 16, -z + 11 = 3*v. Suppose -v*q + 16 = -14. Calculate the remainder when q is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = 63602 - 13394. What is a rounded to the nearest one hundred?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 8 - 2*u + (0 + 3 + 5)*(2*u - u + u)*(0 - 1 + 0) to the form c*u + n and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10649 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 413779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)\/(z**1*z))\/(z\/(z*z**(3\/17))*z\/((z\/z**(-12))\/z*z*z*z)) assuming z is positive.\nAnswer: z**(173\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -95*g + 44*g + 22 + 47*g as w*g + d and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14164 divided by -2.\nAnswer: -7082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20826\/16198*14\/6 - (-1)\/(-195)*583?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-1)\/(-6)) - -2. Let i be 1\/s + 15\/(-4). Let p = -1 - -0.9. Which is the closest to 0? (a) i (b) -1\/5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 695079144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 373326 and 258.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 14. What is the smallest common multiple of (2 + -4)\/(v\/(-7)) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79 + 17 - 16 + (-4 + 3 - 1)*(1 - 1 + 1))*(-5*g - 11*g + 20*g).\nAnswer: -320*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 d when three letters picked without replacement from lldllaywywlwyayyydl?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 94752 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/2, -19, 2\/77, -0.2, -8\/13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 460 and 6578?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - s + 5. Let l = -4 + s. Let b be (-9)\/(-12) - l\/4. Solve -k - b = 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 15 + 27. Let x be p\/(-14) + 6\/4. Suppose -2*m + m + 16 = y, x = -y + 3*m + 4. What is the highest common factor of y and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 11*m**2 - 9*m - 8. Suppose -10*j - j + 110 = 0. Let l be x(j). Solve 2*q = -l*q - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 5*u + 6. Let h be m(4). Suppose h = -x - 3. Let t(l) = l**2 + 5*l + 2. Let f be t(-3). Put x, -2, f in descending order.\nAnswer: -2, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13367.12 litres to millilitres.\nAnswer: 13367120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 6*a**2 - 4*a - 2. Determine q(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 6:49 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13\/9 in 0, -3, -14, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 9*o - 67. Give m(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16800186 by -129.\nAnswer: 130234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 489 is divided by 148?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 12*x - 7*x + 5, 0 = x + 4. Solve 3*n = q + 10 - 0, 3*n = -t*q + 22 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 + 3*f**2 + 10*f - 6*f**2 - 3*f**2 to the form o + l*f + g*f**2 and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73040.\nAnswer: 2, 5, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2909\/612 + 1\/306. Find the common denominator of 44\/17 and p.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*z = 72 + 111, 2*f + 5*z = 122. Calculate the remainder when 303 is divided by f.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/5085*((-7)\/(-112))\/((-7)\/(-21))*-4.\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 168, -1, 3, -66 in increasing order.\nAnswer: -66, -1, 3, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -23*a**2. Let x(j) = 7*j**2 + 5. Let q(u) = -6 - 69*u - 8*u**2 + 69*u. Suppose -6*g = 20 + 16. Let m(t) = g*x(t) - 5*q(t). Give m(i(c)).\nAnswer: -1058*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**3 - 2. Let g(h) be the second derivative of -4*h + 0 - 1\/6*h**4 + 0*h**2 + 0*h**3. What is g(t(f))?\nAnswer: -18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/10552 and 37\/656862?\nAnswer: 2627448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 j when four letters picked without replacement from yjyyyyyyyyyyyjyyyyy?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -33. Let z(u) = -u**2 + 47*u + 111. Let c be z(49). Is i < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/(-10) + -4 + 133\/(-14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 55 = -j + 4*k, -2*k - 36 = -j. Solve 5*a + 2*c = -3*c + j, -3*a + 2*c + 8 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + 1089574775 - 1089574460 for f.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)*-2)\/sqrt(4))\/sqrt(9).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1705)\/(-93)*2040\/(-935).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, -97, 3, 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 79 + 118 = 2*a, 4 = -4*a. Let b = q + -62. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1562, -17, -1, -0.2, -2, -0.3 in increasing order.\nAnswer: -17, -2, -1, -0.3, -0.2, 1562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 21. Which is the second biggest value? (a) -0.2 (b) -8 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 30 = -5*u, 11*u - 8 = 3*d + 10*u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 921418.3 nanometers in centimeters?\nAnswer: 0.09214183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 84*i**2 + 3*i. Let m be o(1). Suppose 65*c - 66*c = -m. Suppose -89*u = -c*u - 386. What are the prime factors of u?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40672211?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 43918 and 264.\nAnswer: 44182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*n = -4, 20 = -q + 6*q - 2*n. Let a be (3 - 1)\/((-20)\/(-40)). Suppose 41*c - 39*c = a. Solve c*m = -2*m + q for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 2*s**2 + 4*s - 6. Let k(m) = -m**3 - m**2 + 3*m - 5. Let d(h) = 6*k(h) - 5*x(h). Let z = -2 - -4. Let i be d(z). Solve -2*u - 4 = i for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45213495.\nAnswer: 3, 5, 283, 10651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2038, -4016, -6020, -8062, -10154, -12308?\n\"Answer: -2*b**3 - b**2 - 1961*b - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*g**4 + 2\/5 + 3\/5*g - 1\/5*g**2 - 3\/5*g**3.\nAnswer: -(g - 1)*(g + 1)**2*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 109613*k**2 + 6. Let d(p) = p. Calculate d(b(x)).\nAnswer: 109613*x**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3 + ((-2 + sqrt(1539))**2*-5 + sqrt(1539)*-2*-3)*-2)*-2.\nAnswer: -30855 + 936*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*v - 7*v + 11*v)*(-5*v**2 + 8*v**2 + 4*v**2).\nAnswer: 336*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q + 39. Let m be a(16). Let v(z) = -z**3 + 7*z**2 + 6. Calculate v(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 25 - 6 - 4 - 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3255*q - 3432*q - 4602 = 0 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*q - 2*z + 21, 2*q = 2*z - 14. Let f(k) = -k**2 - 20*k - 19. Let l be f(q). What is the tens digit of 1 + 1 + -3 + 4 + l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.486*-173.\nAnswer: -84.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*j + 15, -3*w - 8*j + 13*j = -17. Solve 0 = 4*l + 5*k + 1, 0 = -4*k - w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, j: 1, c: 4, d: 1, i: 1, f: 4}. Give prob of picking 2 c and 1 i.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -197*w**3 + 4*w**2 + 16*w + 24. Let o be q(-2). Do 1583 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**4 - 1500*y**3 + 4545*y**2 - 20*y - 6060 = 0.\nAnswer: -303, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((6\/(-3))\/(-10)). Let u(a) = -2*a + 7. Let t be u(6). Are t and q nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k - 4. Let h be c(-5). Solve 29 = -6*j + h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 + 5*p**3 - 6*p**3 + (p**2 + 2*p - 2*p)*(3 - 2*p - 3) - p**3 - 1 + 1 - 3*p**3 + 4*p**3 - 3*p**3)*(2 + 2 + 0).\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**3 + 42229*d**2 - 220028*d.\nAnswer: 12*d + 84458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**3 - 57*r**2 - 5*r - 95. Let y be o(-19). Suppose -5*a = -11 - 4. Suppose -2*g - a*j + 52 = 0, -5*g + 96 = -y*j - j. Solve -4*s - s = -g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1740 - 2117*o**3 - 3444 - 3625*o**3 + 1704.\nAnswer: -5742*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = i - 7*p - 13, -3*i - 1 = 2*p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 + 42. Suppose -6720 = -3*s - 3*r, -4*s = -h*s + r - 4479. Suppose v - s = 591. Round v to the nearest one hundred.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 + 52 + (22 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 1198*w**2 - 2354*w**2 + 1155*w**2 - 43*w - 124. Calculate t(-40).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 1\/9034807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 466 (base 9) to base 7.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 110 or 24\/13?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 604 = m + n, -2*m - 4*n = -1475 + 261. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.05 + -23.85. What is i rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1221100 is divided by 3030.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 3 (c) 2 (d) -0.0759 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4283+-8\nAnswer: -4291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-1 + 7\/(-3))*2520\/(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -4, -5, 3, 2 in increasing order.\nAnswer: -7, -5, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 56*m - 773. What is the remainder when 19 is divided by q(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -5, 2 in descending order.\nAnswer: 2, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.41451, 61 in decreasing order.\nAnswer: 61, 2, 0.41451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -777*x**6\/5 + 1049*x**3\/6 + 6159*x. What is the second derivative of g(h) wrt h?\nAnswer: -55944*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 11*m - 151. Solve 2 + m = -4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*1\/(-4)*3*2\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 313*l**4 + 18*l - 6 wrt l?\nAnswer: 3756*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**5\/60 - q**4\/24 - q**3 + 2. Let j(d) be the third derivative of p(d). Calculate the remainder when 21 is divided by j(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1102, -1093, -1072, -1033, -970, -877, -748?\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 3*y**2 + 2*y + 10. Let x be g(-4). Suppose -4*r - 18 = -2*u + x, -4*u = r - 63. Calculate the highest common factor of u and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6330, -6331, -6332?\n\"Answer: -a - 6329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 675076 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -0.0155.\nAnswer: 0.00155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -15165*z + 45482. Determine a(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (59\/(-4) - -14)\/3 - (-620)\/(-16)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d - 1 - 6 + 7*d - d - d. Let l(v) = -v**3 - 6*v**2 - 5*v + 5. Let w be l(-5). Determine b(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 6.2654?\nAnswer: 6.3654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/2842732?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 142214539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64929351, -64929352, -64929353?\nAnswer: -64929354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = s, -5*s - 15 = -3*t + 1. Let z(l) = 2 - l**2 + 5*l**2 - l**3 + 0*l**t + 3*l**2 - 2*l. Give z(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of (-30450)\/(-580)*10*(-508)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3570)\/(-168) - -6*5\/(-120)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33508)\/134032)\/((0 + (-1)\/(-129))*3\/4)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10110110112020 (base 3) to base 16\nAnswer: 1c1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -9960803\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50793, -50805, -50825, -50853?\nAnswer: -50889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 3 = -4*v. Suppose -1013 - 83 = -3*u - 5*c, 1471 = v*u - 3*c. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(-m + 1 - 1) + m + 4*m + 7*m + 981 - 981 + 20*m.\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*b + 2*z, b - 3*z = -b - 12. Let n be 18*(b + (-1)\/(-2)). What are the prime factors of n - (2 + -1*2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 5*k - 11. Let q be w(6). What are the prime factors of (-82)\/q*(-35)\/(-7)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1 - 16 + 21 - 3*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 5 - ((-9 + -33 - -50) + -1 + 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 2\/(-4) + (-112)\/(-72). Is w < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tnvnznnnznannvzz. Give prob of picking 1 n, 1 t, and 2 z.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-171)\/(-348) + (-1)\/2). Let x = 1046\/9 - z. What is the second biggest value in 2, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 + 3. Suppose -2 - 3 = 2*i - 5*g, 4*i - g = 35. Suppose -4*t = -5*u + u + 4, 5*t - i = 0. Calculate a(u).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*w + 51*w - 55. Suppose -w*r = -13*r + 4. Solve 3*h - 11 = 4*p, h - 2*p + r = -3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -637, -623, -609, -595, -581?\n\"Answer: 14*z - 651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 720 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1021113 (base 7) to base 3\nAnswer: -20020112010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 3:25 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*r + 15. Let o = -8 - -10. Solve -2*z = -4*t + 24, 0 = -t + o*t - r*z - 13 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 8. Let p be h(5). Suppose 3*g - 239 = -5*n + 6*g, -55 = -n - p*g. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37858 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + (2970\/(-7))\/2. Let s = v - -209. What is the common denominator of s and 121\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 18*g**2 - 35*g - 9. Does 20 divide v(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000849 rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2023a7 + 26?\nAnswer: 202422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1301 + 3905\/3. What is the nearest to 1 in t, -3\/2, -2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -334 - -382. Solve -45*h = -l*h + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*j + l - 18, -5*j = -2*l - 52. Let b = -1 - -6. Suppose b*y - 106 = 39. Calculate the remainder when y is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 3*r - 8. Let k be w(4). Let b be ((-12)\/(-21) + 0)\/(k\/(-14)). Let j(c) = -6*c**2 + 2*c**2 - c**b - 5*c**2. Let y(t) = 2*t. Calculate j(y(p)).\nAnswer: -40*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75502433*o**3 + 283341799*o**2 wrt o.\nAnswer: -453014598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3775, 3\/7, -2\/15, -6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.44867 hours to minutes.\nAnswer: 86.9202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.97 times -0.48?\nAnswer: -34.5456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + w + 5*w + w**3 - 2*w.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**3*c*f**2 + 1439*a**3*c - 1117*a**3*f**2 - 4*a**2*c*f**2 + 26*a**2*c*f + 2*a**2*f + 6*a*c*f - 3*a + 43 wrt a?\nAnswer: 12*c*f**2 + 8634*c - 6702*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2821 by -14475.\nAnswer: 2821\/14475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2 - 7. Suppose a*l + 200509 = -81491. Round l to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12370)\/(-10650) - (-2)\/10. Let s = 2\/71 - x. Let i = s + 5\/3. Which is smaller: i or 7\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 23, -4, 111, 1\/2, -2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 1)*(2 - 50*x + 71*x - 2 - 21*x + 33716*x**2) to l*x**2 + z*x + w and give l.\nAnswer: 33716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-150))\/((-8)\/(-20))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545536 is divided by 219.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 15 + 9 + 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (1 + 1\/1). Let b = a + 3. Suppose 0 = -b*q + 7 + 17. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/((-7)\/1841))\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 2\/5, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 734 and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -995, -7, 5747 in ascending order.\nAnswer: -995, -7, 5747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - t**2 - 2*t + 3. Let l be i(2). Suppose -3*k = -2*o - l, k = o + 5*k - 15. Let s = -149 - -170. What is the greatest common divisor of o and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 r when two letters picked without replacement from nhnhdrpphpphn?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x + 6. Let z(h) = 1. Suppose 48 = -4*k - 4*o, 5*k + 230 - 210 = 5*o. Calculate k*z(a) + v(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/14 and -53\/15922.\nAnswer: 111454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}